{"text":"Question: Suppose 5*j - 366 - 394 = 0. Let p(x) = x**2 + j*x - 152*x. Let f(a) = 2*a**2. Give p(f(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**0\/s)**45\/(s\/(s\/(s*s**(-2\/19))))**(2\/7) assuming s is positive.\nAnswer: s**(-34\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + 6. Suppose 0 = 4*s + 394 - 1358. Suppose -3*t = 3*y - 177, 4*y - t = -0*t + s. What is the highest common divisor of l and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29 and 928?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-172)\/20 + (8\/5)\/(-4). Is -10 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2142, 8603, 19424, 34647, 54314, 78467, 107148?\nAnswer: 140399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 83, 96, 119, 158, 219?\n\"Answer: u**3 - u**2 + 9*u + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2446 greater than -20\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2384\/19975 + -2\/1175. Which is the smallest value?  (a) -4  (b) 6  (c) -2  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.162623 take away 0.083604?\nAnswer: -6.246227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 12:29 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*p - 29*p = -30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -3*u**2 - 45*u - 71. What is the remainder when 851 is divided by n(-11)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -131*q + 111*q - 160 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = 2*y - 4*d, y = -4*d - 25 - 13. Let o = 45 + y. What is the remainder when 7\/(o\/4) + 14 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -88 + 87. Which is the smallest value?  (a) 1\/8  (b) -0.5  (c) i  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnsnsnnnnnmmn.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/129792 and -79\/5616.\nAnswer: 1168128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 3*z - 12 - 15 = 0, 3 = 3*t - 3*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 132 + -2 + -13 + (-23 + 21 - -14).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 228945170 to the nearest 1000000.\nAnswer: 229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand v - 5*v + 5*v + (-v - v + v)*(1 + 0 - 3) + (1059 + 883*v - 1059)*(0 - 2 + 4).\nAnswer: 1769*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 - 67*w**2 + 139*w + 79. Calculate f(-69).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 7 = 3*u. Sort 9, 2\/23, u.\nAnswer: 2\/23, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/3)\/(18\/270)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 AM and 8:13 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25\/21 - 6\/7. Let i = 624 + -624. Suppose -1\/3*o**2 + a + i*o = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -286 divided by -4.\nAnswer: 143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 + -49 + 70 + -22.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, d: 7, m: 3, c: 4, x: 3}. Give prob of sequence msm.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -805, -836, -881, -946, -1037, -1160, -1321, -1526?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 PM and 10:08 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*d + 27*d + 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 - s + 27. Let h be q(0). Let a be 1190\/130 + 4\/(-26). What is the highest common factor of h and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of -3*a**5\/20 - a**4\/2 - a**3\/2 - 4*a. Determine w so that g(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 540593 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 59411, 58912, 58079, 56912, 55411, 53576, 51407?\n\"Answer: -167*m**2 + 2*m + 59576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*x + 16*x - 124*x.\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 30215 = 108789. Let s = 11249 - h. Round s to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.4 + 1.4. Let s = z - -5.1. Which is the closest to s?  (a) 3\/7  (b) -0.4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.527682 to three dps.\nAnswer: 3.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -5*x + 85, 249*a - 246*a + 39 = 3*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1998 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -12*v**2 + 118*v + 14. Determine a(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 a when four letters picked without replacement from {f: 6, a: 7}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-18))\/((-4)\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q**4 - 1 + 2*q - 3*q - q**2 - 2*q**4 + 5*q**4 to the form n*q**4 + i*q**3 + l + k*q + c*q**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100110001111001110101 + -101?\nAnswer: 100110001111001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 72522 divided by -467\nAnswer: -72522\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from uvvyuyuyu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -164 - -178. Suppose 16 + 47 = 3*n. Suppose f + y + n = 5*t, 3*f = -5*t + 15. Solve -z = -t + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 10:52 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-6)*-4 - (-60)\/63. Let k be ((-4)\/6)\/(2\/(-3)). Suppose 6 + k = -5*y + 3*z, -3*y = -4*z + 2. Which is the nearest to x?  (a) 4  (b) -1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3759 and 336763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 6*m + 4. Let t be w(6). Suppose -3*i = -t*d - 5657, 3*d - 2*i + i = -4249. Let c = d - -998. What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -28*(-10)\/(-100) + (-27)\/(-15). What is the closest to 0 in 2\/3, q, -0.0542?\nAnswer: -0.0542","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -396 = 147*r - 222 + 2913 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200\/56 + -4 - 29682\/(-119) is divided by 138.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*s*t**3*w + 1178*s*t*w**2 - 77*t**3*w**2 - 8*t**3*w with respect to s.\nAnswer: 2*t**3*w + 1178*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 260304.\nAnswer: 2, 3, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/((-1)\/(1\/(2 - 1)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 258 - 282 = -4*k, -k = 4*h + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 8:29 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/(sqrt(2)*-1))\/(sqrt(9)*1*5) + sqrt(22)\/(-4*1*sqrt(11))*1.\nAnswer: -9*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -200 + -211?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2979 - 858?\nAnswer: -3837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 15\/4 of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 6*y**2 + 3*y. Let d be 24\/6 - (-2 - -5). Let b(h) = -h**3 - h**2 - h. Determine d*r(x) + 3*b(x).\nAnswer: -2*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*g**2 + 7*g**2 - g**2 - 10*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*d**4 - 6*d**4 + d**2 + 2*d**2 wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 41904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1652, -3349, -5072, -6833, -8644?\nAnswer: -10517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/9)\/((-8)\/(-6)). Suppose 2*i = -10 + 22. Suppose -s = 1 - i. What is the closest to -2 in s, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -7*t + 6*t + 2*t. Suppose 2*a - 4 = 4. Let v(k) = k - a*k + 2*k. Calculate v(z(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, s: 7, e: 1, b: 2}. What is prob of picking 1 e and 1 g?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*w = -81 + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/56 + 86\/(-8)*-11. Let u = w + -114. Solve 2*p = -u*p - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 18*w**2 + 19*w + 27. Let u be v(-18). Let h be (u\/12)\/((-4)\/(-16)). Let n = h - -170. What are the prime factors of n?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*l + 20 = q, 3*l - 4 = 4*q. Suppose -a - q*c = -1553, 3*a - 2463 = 2*c + 2228. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence utu when three letters picked without replacement from uuututuuuttuuuuutu.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 0)*(-4*h**2 + 2*h**2 + h**2) + 62 - 62 - 28*h + h**2.\nAnswer: -h**2 - 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 124861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 12 + -9 - 7 - 4\/42.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000 - 101011001?\nAnswer: -101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 + b. Let g(m) = -12*m**3 - 5*m**2 - 8*m. Let x(z) = -g(z) + 5*u(z). What is the second derivative of x(h) wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t - 7 - 7 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -497 - -603. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.3 - -3.4. Sort -1, 1\/9, v, -4 in descending order.\nAnswer: 1\/9, v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - b + 35 = 0, -2*b = -3*f + 107 + 23. Let t = 13 - 8. Calculate the highest common factor of t and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -3\/4  (b) -0.4  (c) 0  (d) 18203  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 37271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by -941116?\nAnswer: -9\/941116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.4 smaller than -558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12017969 is divided by 3272?\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 6*z - 20 = -z, 4*z = 0. What is the smallest common multiple of 46 and n?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3727334cm to nanometers.\nAnswer: 3727334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19988988 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 164 and 19437690?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 62 - -16. Let s(g) = -g**2 - 18*g - 16. What is the remainder when y is divided by s(-14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6 + (1 - 0))*192\/112. Suppose -16*f + u*f = -356. What are the prime factors of f?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express u - u - u + (6*u - 3*u - 2*u)*(-2 + 0 + 5) as w + o*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7304.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 + 10*f + 13. Let g be n(-9). Let a be 2\/g*2*3. Suppose 9*v**2 - v - 4*v**3 - v - 3*v**a = 0. Calculate v.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 68666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1510370 - 352671 = -107*f - 199405. Is f a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -4. Let z be (-1 - (-2 - -1))\/(-1). Let g = d - z. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 13*y - 18*y + 4*c, 0 = 5*y + 2*c - 13. Solve o - 9 = -4, 3*l - o = y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*(-3 - (-28)\/8). Solve i*d + 3 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 444780 and 23940.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24856789 is divided by 6214197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from saaayaaaysb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 36568*p**3*s**2 - p**3*s + 452*p**3 + 113355*p**2*s**2 + 48*p**2*s + 2*p wrt p.\nAnswer: 219408*s**2 - 6*s + 2712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 - 5 = -4*t. Let v be t\/(-15) - (-41)\/3. Suppose -2*r = f - 6, -4*f - 3*r = -5*f - v. Is -7\/5 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5, 105, 299, 587, 969?\n\"Answer: 47*l**2 - 41*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 295826497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 2*s = 18, -w - w = -4*s - 16. Suppose 2*h - 1 - 7 = 0. Let j = w + h. 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 = 3*x - 2*v + 4, 0*x + 3*v = 2*x + 1. Let o be (-9)\/312 - x\/13. Let r be (64\/(-14))\/2 - -2. Sort r, o, 3\/2 in ascending order.\nAnswer: r, o, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 7599999*c**2 - c. Let t(h) = h - 6. Let m be t(5). Let d be i(m). Round d to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 249 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -10943.11 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2 - 57*s + 46. What is the remainder when (0 - -49) + (7 - 7) is divided by v(28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2404613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-319)\/174 - (-350)\/204. Suppose c + 12 = 4*c. What is the nearest to -9 in c, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1528 is divided by 185.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 53 = -0*f + 5*d, -2*d - 82 = -4*f. Suppose -32 + 29 = -n. Suppose n*m - 63 = 96. What is the remainder when m is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 67 - 64. Suppose 2*m - 192 = -3*q, q + 266 = b*m - 0*m. Calculate the highest common divisor of 30 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 29*y**3 + 97*y**2 - 1166*y - 682. Determine d(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -5336, -10681, -16026, -21371, -26716, -32061?\n\"Answer: -5345*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z**5\/3 - 776*z**4\/3 + 1494*z**3 - 248*z**2\/3 - 20488*z\/3 + 2656 = 0. What is z?\nAnswer: -83, -2, 2\/5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + y + 80. What is the remainder when 25\/5*(896\/70 + -5) is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/3 - 1139*r\/3 + 4992.\nAnswer: -(r - 13)*(r + 1152)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 85405221?\nAnswer: 3, 11, 479, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 - 15*y**2 + 10*y**2 + 6*y**2. Let b(w) = -13*w**2. Give b(n(f)).\nAnswer: -52*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + 0. Calculate the common denominator of 1\/2 - 97\/6 and ((-94)\/(-18) - k) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 15803 to the nearest 100.\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 57 + -48. Solve -4*y + 3*j + 2*j = -9, 5*y - 4*j = i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -65 - -93. Suppose 3*m + 5*w - y = 0, -4*m + 5 + 9 = -5*w. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/56 in -2, -5, -2\/3, -2\/9, 15, 8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 58.65245 milligrams?\nAnswer: 0.00005865245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, 26, -12, -30 in increasing order.\nAnswer: -30, -12, 26, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + 405*b**2 - 20121*b - 883. Determine y(347).\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 9) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) + 3)*-4 + (-5*(sqrt(162) + 3) - sqrt(162)))**2.\nAnswer: 4860*sqrt(2) + 16929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -909 - 142*c + 258 - 180 wrt c?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 430 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 + 0*c + 0*c)*(8 - 3 + 2 + (-3 + 2 + 3)*(-1 + 2 + 0)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 130 divide 4348370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -5, -2\/3, -0.4, -0.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -827.8132 - 0.1868. Let f = -828.000359 - w. What is f rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*m**2 - 2*m**2 + m**2)*(-3*m + 2*m + 0*m)*(5*m - 2*m + 0*m)*(-11 - 3 + 5)*(3 - 7 + 2).\nAnswer: 324*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + 2. Let a(n) be the second derivative of -n**4\/4 + 5*n**2\/2 - n - 22. Determine -6*a(q) + 15*g(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14\/(-21) - 7\/6*-28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17733864?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 17 - c?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1151806533 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 41908460 and 22?\nAnswer: 41908460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -943 minus -2183227029?\nAnswer: 2183226086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4, 16, 32, 46, 52, 44?\n\"Answer: -x**3 + 8*x**2 - 5*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1 + 137 + 2 + 2 + 1.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(66)*-1 - sqrt(66))*4)\/(-4*(sqrt(864) + sqrt(864)*2)).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 126994287.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -307*d + 417 - 60*d**2 - 3*d**4 + 21*d**3 - 89*d + 15 + 6*d**4 = 0.\nAnswer: -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 76\/10*(-465)\/(-31). Suppose z = t + h - 58, 4*h - 16 = 0. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 14 + 4 = 0. Let o be 135\/(-30)*(-32)\/72. Sort o, s, -10.\nAnswer: -10, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -443  (b) -5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z - 3. Let w be v(-5). Suppose -5*q + 42 = 4*g - 0*g, w*g = 5*q - 54. Calculate the lowest common multiple of q and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 38400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 24?  (a) 17  (b) -1\/7  (c) 2\/5  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of -1\/2*i**2 - 5 + 0*i. Give p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - 3*o + 3*o)*(2 - 4 + 0)*(-10 - 1 - 12).\nAnswer: 138*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**4 - 32*j**3 + 92*j**2 + 288*j + 162.\nAnswer: 2*(j - 9)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/30*1200\/(-96).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rsttfszkkkzkfzfkffzz. What is prob of sequence fftk?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 372247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 23, 83, 195, 377?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 40\/22 - (-2)\/11. Let y = -1 - -1. Suppose y = 4*g - t*n - 48, 3*g = -3*n + 19 - 1. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 11*c - 2144. What are the prime factors of c?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 PM and 6:40 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3208 (base 10) to base 13\nAnswer: -15ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4900\/19  (b) 2388  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.54355 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 11\/(-66) + (-614)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g. Let l(s) = -4*s. Let u(r) = 6*j(r) + 5*l(r). Let i(c) = -8*c. Let d(n) = -16*n. Let y(v) = -4*d(v) + 7*i(v). What is u(y(m))?\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of 44*o**7\/105 - 52*o**3\/3 + 165*o**2 - 2. Differentiate z(v) wrt v.\nAnswer: 352*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 18. Let a(s) = 5*s**3 + 15*s - 30. What is the remainder when a(2) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5390, 5114, 4860, 4634, 4442?\nAnswer: 4290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*m + 12 = 74*m. Put m, 7, -2 in decreasing order.\nAnswer: 7, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19032 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 200, 223, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11.31 + 11. Let q = -0.309995 - k. What is q rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of -1\/180*y**6 - 1\/30*y**5 - 1\/12*y**4 + 0*y + 0 + 4*y**2 - 1\/9*y**3. Solve v(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39549 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 21\/8?  (a) 1\/39  (b) -24  (c) -8  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) 2  (b) 4156  (c) 307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 69837 = 9897. Let w be (-2)\/(24\/1294134)*2\/18. Let q = w + c. What is the common denominator of q and -101\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 322113341 + -1232?\nAnswer: 322112104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 594\/(-44) - ((-14)\/(-2))\/(114\/(-228)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 3*h + 2. Let x(t) be the second derivative of 13*t - 3*t**2 - 4\/3*t**3 + 0. Let a be -14 + (1 + 0)*-3. Give a*n(f) - 6*x(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(-2) + (18 - 629\/34).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*w**3 - 3 + 8 + 1 + 3377*w**3.\nAnswer: 3495*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 6*r**2 - 366*r + 2516. What is a(54)?\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1864*s**2*z**3 - 33*s**2*z + 43*s*z**4 + 2*s*z**2 - 5*s*z + 2*z**3 + 2*z**2 - 283 wrt z?\nAnswer: -11184*s**2 + 1032*s*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-153)\/68)\/((-3)\/8). Let f(w) = 6*w**2 + 3*w - w**3 + 1 - 2*w - 7. Let z be f(k). Solve z = -s - 0*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/113634 and 133\/1404?\nAnswer: 8863452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**20\/i*i*i**15 assuming i is positive.\nAnswer: i**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -296*m - 128*m + 767472 = 48*m. Calculate the remainder when m is divided by 138.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {a: 2, t: 2, x: 2, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 7123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(242) + -1*sqrt(242)*3 + ((sqrt(242)*-1 - sqrt(242))*-1 + sqrt(242) - sqrt(242) - sqrt(242)))**2.\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*q = -5*s - 85*q + 12, -4*q = -2*s + 18. Suppose 6*v - 2*v - 5*n = 18, 0 = -3*v + 3*n + 12. Factor -1\/2*x + 1\/2*x**4 - 1\/2*x**v + 0 + 1\/2*x**s.\nAnswer: x*(x - 1)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - 3\/((-9)\/6). Let k = 0 + g. Suppose -2*q = -k*v + 26, -24 = -5*v - 3*q + 14. Calculate the greatest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 477.0435mm to nanometers.\nAnswer: 477043500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(27\/4)*6\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 180598\/1079 - 2148\/13. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 2  (b) 6\/5  (c) 7376\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9693, 12, -7 in descending order.\nAnswer: 12, -7, -9693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 328, 271, 214, 157, 100?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1573) + 3 + sqrt(13) + sqrt(52)\/(sqrt(4)*-2).\nAnswer: 3 + 23*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-9))\/(28\/126*-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (6 - (12 + 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (46 + 26 - 10)*(-3*j - j + 0*j) + 2 - 2 + 6*j in the form p*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**3 + 409832*c**2 + 819676*c + 409840.\nAnswer: -4*(c - 102460)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 - 5*j - 2. Let y be n(-3). Let z(c) = -c - 6. Let v be z(-4). Let g = y - v. Solve p + g = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**2 - 3*a**2 + 3*a**2 + (-999*a**2 - 61*a**2 - 621*a**2)*(-1 - 5 + 4).\nAnswer: 3364*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/3 of a week in hours?\nAnswer: 3304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zxlrx. Give prob of picking 1 l and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssxs when four letters picked without replacement from xxsss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of p**6\/40 - p**4\/24 - p**2 - 3. Let v(l) be the second derivative of y(l). What is the second derivative of v(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.62405 and 4.\nAnswer: 3.37595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -4  (b) 1  (c) 6  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1143 - 1143 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 244 + -21357?\nAnswer: -21113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of g**3 - 2684*g**2 - 23756*g wrt g.\nAnswer: 6*g - 5368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -68446*n + 68446*n - 1 + 3005*n**2 as c*n**2 + i*n + f and give c.\nAnswer: 3005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000003572 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 18100457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2992009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-0.39.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 4*d = 3*n + 55, -5*d - 2*n = 121. Let x be (d\/(-23))\/(131\/(-2)). Suppose -3*r + 2 = 5*t, 5*r + 5 - 1 = -t. Which is greater: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 648936735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1161 + -422. Suppose 4 = 4*u, t = 5*t + u + r. Let z = -106 - t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 386\/7 and -2\/267 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-12)*-4 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 15 + 3. Let d be c*(-2)\/((-4)\/6). Suppose -d = 2*v - 3. Sort -2, v, -4 in ascending order.\nAnswer: -4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 0*i + i - 2*i + 2. Let b be h(1). Let p(u) = 8*u**4 - 6*u**3 - 14*u**2 - 10*u. Let a(y) = y**4 - y**2 - y. Let q(f) = b*p(f) - 10*a(f). Factor q(m).\nAnswer: -2*m**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 4*n**2 + 19*n - 118. Let r be c(7). Let g = r - -140. Solve 3*b - 11 = -4*p - 25, g = -4*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-3) - (-170)\/(-3). Let n = z + 618\/11. Factor -n*w - 8\/11*w**2 + 0.\nAnswer: -2*w*(4*w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2953046 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, j: 1}. Give prob of picking 1 c and 1 j.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.8 - 0.2. Let l = -7769 - -7774. Put v, -0.1, l, 1\/4 in increasing order.\nAnswer: v, -0.1, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -39424137 to the nearest 10000.\nAnswer: -39420000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43266 - d**2 + 0*d**2 + 2*d + 43281 to the form u*d + f + s*d**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k - 11. Let d be s(8). Suppose q - 5*q = -12. What is the greatest common divisor of q and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -6*i + 3*i. Suppose 2*o - 18 = 4. Solve -o*d = -10*d + i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -w**4\/12 + 5*w**3\/6 - 5*w**2\/2 + 6*w. Let z(t) be the first derivative of m(t). Give z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1\/4  (b) -0.3  (c) -566  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1542523943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 2*y - 683, -4*y + 241 = -4*o + 3*o. Is o at least -224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 136a - -73?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, 2, 15 in decreasing order.\nAnswer: 15, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(204) + (sqrt(204) - 1*sqrt(204))) + sqrt(204))\/(sqrt(120)\/(sqrt(30)\/sqrt(3))).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/((-15)\/((-180)\/(-21)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 110990, 214374, 317760, 421148, 524538, 627930?\nAnswer: 731324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(120\/9))\/(492\/(-410)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3269*f + 6352*f - 2907*f in the form i + d*f and give d.\nAnswer: 6714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of x**3\/2 + 913*x. Let o(r) = -r - 3. What is o(i(s))?\nAnswer: -3*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155512150 is divided by 1278?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 + 1 + -1)*1. Suppose -j - 3*j = y. Let t = -207 + 2279\/11. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0877268 rounded to 3 decimal places?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26\/7 - -248\/63. Let w = 4.88 + 0.12. Put o, w, 1 in descending order.\nAnswer: w, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 1. Solve -5*l + 11 = -n, -2*l = 4*n - 21 - u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 145 + (6\/3 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 100 = -b. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 39268528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 + 6*b + 5. Let v = 5 + -11. Let m be u(v). Suppose -4*q = -q - 2*t - 793, -5*t + m = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16943788 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -k + m, -2*k - m = -6*k - 91. Does 21 divide ((-24738)\/k - (-3)\/12) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 215170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -133*g - 8869. Calculate the lowest common multiple of o(-68) and 2975.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*k + 55 - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {n: 1, w: 1, h: 3, j: 4, g: 2, v: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 67352*v - 67342. Calculate j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, 72, 224, 456, 780, 1208, 1752, 2424?\nAnswer: 3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -596 + 596.1. Which is smaller: u or 701?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1510 is divided by 90\/(-36) + (-607)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 923 + -1f?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 4*y - 15. Let t be a(5). Suppose -5 + 135 = t*h. Calculate the remainder when h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231*n**3 + 139*n**3 + 146*n**3.\nAnswer: 54*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.59261 to 3 decimal places.\nAnswer: -8.593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -16, -41, -70, -103, -140, -181?\n\"Answer: -2*v**2 - 19*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -49\/6. Let j(r) be the second derivative of 0*r**2 - 2*r - l*r**3 + 0. Let w(a) = -4*a**2. Give j(w(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 - (-195)\/(-35) - 72\/(-28). Let p(m) = m**3 - 6*m**2 + m + 2. Let j be p(6). Solve -4*s - 16 = 4*d, 5*d - j = -0*d + c*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*t + 90*t = 2530. What is the remainder when 500 is divided by t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v**2 + 12*v + 20. Let k(t) = 7*t**2 + 26*t + 44. Let s(l) = 6*k(l) - 13*u(l). Let o be (2\/4)\/(1\/2). Let w(h) = h**2 + 1. Determine o*s(d) - 4*w(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6552 and 1008.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 111 = 2*q + 215, -i + 114 + 96 = -4*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 122.5 - -0.5. Let m = f + -121. What is the nearest to 1\/4 in 19, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10636 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/1015*(28 + -24)*(-1)\/(-4)*-1\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, -0.27, 4?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 38127*s. Let b(z) = -154*z**2. Determine l(b(x)).\nAnswer: -5871558*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 AM and 9:36 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 6*x**2 + 4*x + 6. Calculate p(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 63715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g**6*s + 5*g**4*s - g**3 + g**2*s + g**2 - 18*g*s wrt g.\nAnswer: -240*g**3*s + 120*g*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 5*y**2 - 11*y + 1. Let c be (-76)\/(-28) + (-4)\/(-14). Calculate the remainder when 181 is divided by o(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 422.96m to centimeters.\nAnswer: 42296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 - (34 - (40 + -28) - -2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13300)\/(-125400))\/(14\/9).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1\/j)\/j*j*j**(4\/7)\/j*j)\/(j**1)**35 assuming j is positive.\nAnswer: j**(-241\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from pqxxfffpbbpo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 460 and 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -189.9 and 0.0196.\nAnswer: -3.72204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 - -0.2. Let i = 40 + -40. Let j = 0.29 - 0.39. What is the closest to j in i, 5, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z**2 - 7. Let f(k) = -6*k**2 - 13. Let r(q) = 2*f(q) - 5*s(q). Find the first derivative of r(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200000101 - -11?\nAnswer: 200000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*n**3 + 0*n**3 - 2*n**3)*(3 - 3 - 3) + (-3*n**2 + 2*n**2 + 4*n**2)*(0 + 1 + 0)*(-n - 2 + 3 + 1) as l*n**2 + i*n + k + w*n**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-2 + 0)*(-11)\/((-99)\/45)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 + -3)*(-10)\/5. Suppose 2*d - 5*f - 214 = -t*f, -f + 104 = d. Let a be (0\/1 - -2) + d. What is the highest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39\/17782 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 79650.5ns?\nAnswer: 0.0000796505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 106191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n + 6. Let c be v(7). Let g(k) = k**3 + 16*k**2 + 18*k + 19. Let s be g(-15). Let u be (1\/4)\/(13\/s). What is the closest to c in -3, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of m**3\/15 + 3*m**2\/10 - 21. Factor g(t).\nAnswer: t*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -147 + 412*q + 71*q + 147.\nAnswer: 483*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*i + 31 - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9641, 9701, 9807, 9983, 10253?\nAnswer: 10641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 143949 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*t**3 + 29*t**3 - 33*t**3 - 127*t**3.\nAnswer: -153*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 112 = 243. Let f(c) = -2*c**2 + 113*c + 498. Let h be f(60). Let w = h - i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-88)\/11 - (3 + -12). Let g be ((-202)\/(-8))\/((-1)\/(-4)). Suppose 4*n + 2*k = 82, -5*n + 0*k = 4*k - g. Solve -5*f + p = n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2175c + 0?\nAnswer: 2175c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of -z**4\/138 - z**3\/23 - 2*z**2\/23 + 14*z. Determine y so that b(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 530 smaller than -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 708284.\nAnswer: 2, 113, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 122 divide 25865033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1196284523 to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k + 3. Give f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*(d**(-2\/13)*d*d)\/d)\/d*d*(d\/(d*(d**2\/d*d)\/d))\/d*d)**34 assuming d is positive.\nAnswer: d**(374\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3. Let y(q) = 4*q**3 - 12*q**2 + q + 16. Let n(b) = -y(b) + 3*z(b). Is 19 a factor of n(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -260 and 0.2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -8912110, -35648462, -80209048, -142593868?\n\"Answer: -8912117*o**2 - o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w + 13. What is u(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, 6\/49 in descending order.\nAnswer: 4, 6\/49, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 86.2 - 86. Let v(a) = 3*a**2 - 4*a + 7. Let p be v(7). Let q be 132\/p - (-4)\/14. What is the nearest to 1 in q, g, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 346895 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -583 or -582?\nAnswer: -583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22166993.\nAnswer: 22166993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*d + 3*d - 7*d)*(3*d**3 - 2*d**3 + d**3 + (-d + 2*d**2 + d)*(4*d - d - d) + 0*d**2 + 0*d**2 - 3*d**3).\nAnswer: -6*d**4 + 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 6, 0, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of 5*u**4\/12 + 5*u**3\/2 + 301*u - 81. Let p(b) be the first derivative of v(b). Factor p(t).\nAnswer: 5*t*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.044 - -0.036. Let g = w + -13.08. Let t = -12.6 - g. Round t to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -6*l**2 - 103*l + 9. What are the prime factors of i(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 404239*3.\nAnswer: 1212717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -330*o - 32. Let a be q(4). Let z = 699 - a. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + 97. Let g(x) = 19*x - 7 - 6 - 6 - 12*x. What is the remainder when m is divided by g(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 105.23816 to the nearest integer.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*s - 512 - 5088. Let f = -251 + s. What is the remainder when ((-8)\/12)\/((-6)\/747) is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0 - 16 + 26 + 20 + (-4 + 5 - 2)*(4 + 4 - 6))*(-2 + 2 - d).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + -8. What is the remainder when 3*26\/(-78)*1*-47 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1372 + 376 = -4*z. What is the remainder when z is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 3*b**2 + 3. Let y be 2\/(-3) + 22\/6. Let r be a(y). Suppose -3*n = r - 27. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of -2*n**3\/3 + n. Let j(w) = w - 2*w + 0*w. Give i(j(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20106 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 20*a**2 - 8*a - 11. Is j(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2376 and 24.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-4) + (-35)\/(-20). Let n(d) = 4 + a*d**2 - 12*d + d + 5 - 2. Does 14 divide n(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7182*b + 3664*b - 2 + 3618*b + 2.\nAnswer: 100*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -213183, -213162, -213129, -213084, -213027, -212958, -212877?\nAnswer: -212784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -2*x - 2*x**2 - 1\/4*x**4 + 0*x**3 + 1\/20*x**5 + 0. Let m = 11 + -8. Determine c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s - 1. Let w be d(3). Let y(j) = 2. Let u(r) = -r + 2. Let z(i) = w*u(i) - 3*y(i). What is z(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - 9*y + 14. Let a be x(-10). Suppose 5 = a*c + 4*i - 23, -2*c - 4*i + 20 = 0. Solve 0 = c*f - 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3999 and 21543.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a**2 + 105 - a**2 - 4*a - 91 to the form i*a + c*a**2 + u and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 449*o + 3519. Let b be a(-7). Calculate the highest common factor of 104 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - 14*l - 3. Let j be w(-13). Suppose d - 3*s - j = -0*d, -s - 2 = 0. Find the second derivative of -2*q - 34*q**4 + 11*q**4 + 14*q**d wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19921, -19354, -18787?\nAnswer: -18220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/4*(0 + 2). Let g be 2\/(-1*(-3)\/(-12)). Let c be 4\/g*0\/(-1). Sort 2, c, d in ascending order.\nAnswer: d, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - ((1 - -1) + 9)) + 14 + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3750287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 16 + -5 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -21 + -40?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2107005 and -3856202.4?\nAnswer: 1749197.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 77 + -72. Suppose 0 = q*l - y + 43, 54 - 10 = -4*l - 4*y. Suppose -2 = -0*x + x. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 15*b**2 + 8*b - 2. Let c(p) = 16*p**2 + 10*p - 1. Let a(k) = -3*c(k) + 2*v(k). Find the second derivative of a(o) wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 397, 416, 455, 520, 617?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 620954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1007 + 677 + 97*m + 118 - 36 - 100*m to z*m + x and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - -3 - 2)\/1. Let d = -1 + j. What is the remainder when 15 is divided by 1 + (1 - (-6 - d))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 r, and 2 o when four letters picked without replacement from hrouoql?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 6 = 0, 7*w + 1 = 3*h + 2*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 3*x = -309, -2*t + 2*x = 2*t - 246. Let i be (t\/(-25) - -2)*-180. Suppose i + 32 = 2*l. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 7*u - 9*u - 1342, -2690 = -2*k + 5*u. What is the lowest common multiple of 1330 and k?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4923158 or 4922915?\nAnswer: 4923158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 87*d**2 + 2*d - 21. Let j(x) = -95*x**2 + 49*x**2 - 2*x + 47*x**2 + 3*x + 2. Let c(t) = 2*j(t) - u(t). Find the first derivative of c(o) wrt o.\nAnswer: -170*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 249267, 249280, 249323, 249414, 249571?\nAnswer: 249812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 55 = -143*z + 144*z, 4*u - 57 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0012783 to five dps.\nAnswer: 0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from atmeerw. What is prob of picking 1 e, 1 m, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 149*h**2 - 40*h - 44. Let u(s) = 37*s**2 - 9*s - 10. What is -2*f(m) + 9*u(m)?\nAnswer: 35*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 6157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 74 = -2*a, 2*v - 2*a - 70 = -5*a. Let c = v + -21. Let n = -10449 + 10466. Solve -4*m + 2*z = -c, -3*m = -3*z + z - n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4538 divided by 19?\nAnswer: -4538\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 488\/5 + -98. Let n = -1 - -4. Let t be 1*(-10)\/2 - -1. Sort n, t, u in decreasing order.\nAnswer: n, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 103*f*l*m*t**3 + 2*f*m - 34*f - l*t**3 + 4*m*t**3 + 118*t**3 with respect to f.\nAnswer: 103*l*m*t**3 + 2*m - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y**3 - 38*y**2 - 91*y + 156. Determine s(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/6)\/(26\/234) + 3. Suppose 4*z - z = 294. Suppose r + z = 3*p, -r - 32 = -p - i*r. Is p a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134 is divided by 55?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 + 7*i + 1. Let n = -51 - -50. Let u be -1*(-2)\/n*-3. Determine q(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*(-3 - -2)\/1. Let b be (-3)\/12 + (-9)\/(-4). Suppose -2*y = -2*r - b, -8 = 2*r + r + 2*y. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -x**7\/5040 + x**6\/720 - x**5\/30 - 3*x**2. Let q(c) be the third derivative of z(c). Does 5 divide q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l = 8*l + 1656. Is l a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 46 - -11. Let o be (0 - -4 - 3)*(v - 2). Calculate the greatest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 3*o**2 + 11 - 3*o**3 - 7*o**2 + 6*o**2 + o**3 in the form l*o**3 + z*o + r*o**2 + c and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -3*c**3 + 120*c**2 - 228*c = 0.\nAnswer: 0, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-8)*2\/(-51)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 127*m - 2. Suppose -425*j + 337*j + 88 = 0. Determine i(j).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1807, 2916, 3343, 3088, 2151, 532?\n\"Answer: -341*g**2 + 2132*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/30*15*(-55)\/(-66).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 28518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -121, 158, 615, 1250, 2063, 3054?\n\"Answer: 89*m**2 + 12*m - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1021, 1263, 1667, 2233, 2961?\n\"Answer: 81*q**2 - q + 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 367*g**2*o*p - 81*g*o*p + g*o - 2*g*p wrt g.\nAnswer: 734*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 10*h - 17. Let k(m) = 19*m - 33. Let o(s) = -7*c(s) + 4*k(s). Let y be o(-11). Let t = -37 - y. Calculate the remainder when t is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y + 10, -2*y + 6 = -2*c - 4*y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 54 - 44 + 8*n**2 - 50 - 47 + 23.\nAnswer: 8*n**2 - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 10 = -3*m, -5*g = 4*m + m + 20. Let q = 0.95684 - 1.25684. Which is the closest to 4?  (a) -0.2  (b) g  (c) q  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3, -11, -78, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2153771 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 3*s + 23, -h + 3*s + 10 = 2*s. Suppose 0 = h*j - 7 - 7. Factor 0 + 2\/3*g**j + 0*g.\nAnswer: 2*g**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 7*w - 8. Let g be o(6). Suppose 4*s - 2*s = g. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (84\/63)\/(12\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-18)*444\/40*-5)\/((-4)\/6)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y + 2. Let z(b) = -b. Let t(c) = -w(c) + 3*z(c). Let g(n) = -83 + 5*n + n + 96. Calculate 6*g(u) + 39*t(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 9*z + 9. Determine x(9).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 5*a**2 + 68*a + 60. Let s(v) = -5*v**2 - 69*v - 60. Let l(d) = 3*s(d) + 4*y(d). Determine n so that l(n) = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 + 8*z**2 - 16*z + 8. Let t be n(3). Solve -16*d - t + 21 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/29))**38)**(2\/89) assuming g is positive.\nAnswer: g**(-152\/2581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -2*i - 4, 0 = 6*i - 3*i + 3*t + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 3*t - q - 17, 0 = 2*t + 4*q - 18. Sort 13, 1, t in decreasing order.\nAnswer: 13, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 0*k - 4. Suppose 56 = -k*b + b. Let n = b - -102. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -70*c - 441. Give b(-7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -s + 12, 20 = -4*r - r - 5*s. Which is the third smallest value?  (a) r  (b) 0.14  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 AM and 9:16 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 128 + -122. Suppose 5*i + 8*k - 5 = w*k, -4*k - 32 = -4*i. Sort -4, 4, -5, i in descending order.\nAnswer: 4, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-28) + (-5)\/(-105).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/(-2))\/((-174)\/(-96) - 2). Solve -x = x - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 84\/5 + -1 + (-8)\/(-40). Suppose -5 = -7*n + a. Suppose -9*k = -11 + 2. Sort k, -8, n.\nAnswer: -8, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 4*k**2 - 8*k. Let l(y) = 3*y**2 - 9*y. Determine 6*d(x) - 5*l(x).\nAnswer: 9*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {r: 1, n: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*w**4 - 9*w**3 + 117*w**2 + 561*w + 630 = 0. What is w?\nAnswer: -5, -3, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 14*z**2 + 15*z + 3. Calculate v(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*d - 7*d + 1705. Calculate the remainder when d is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -36\/2075 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 87900 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/46 and -47\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 125 and 14265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -324699, -8 in descending order.\nAnswer: 2, 0, -8, -324699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*p - 12 = 40*p. Suppose 1 + 15 = p*x. Solve 1 = -t - x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7508 divided by -2\nAnswer: 3754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m = 8*m. What is the biggest value in m, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -111*b**2 - 10*b - 10. Let i be t(-1). Let n = i - -115. Solve n*y + 1 - 21 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*(a**26*a)\/a)\/a**(1\/8))\/(a*a\/a**34*a*a**10) assuming a is positive.\nAnswer: a**(383\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q + 2*w = 64, -w = 86*q - 85*q - 8. Suppose -24 = 2*l + 2*a - 6, 5*l + 18 = 4*a. Sort 2\/3, l, q in decreasing order.\nAnswer: q, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o**3 + 9*o**2 - 24. Let u be z(-6). Let w be 2 + 3 + u\/30. Suppose 0 + 8\/5*y**4 - 4\/5*y - 8\/5*y**2 + w*y**5 + 1\/5*y**3 = 0. Calculate y.\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 923613845 divided by -2708545.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -18*q**3 + 2*q + 1. Let g(l) = 2*l**2 - 6*l + 3. Let y be g(2). What is n(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 34 = -3*u, 0 = u + 2 - 5. Let o(s) = -s**2 + 32*s + 194. Let v be o(29). Find the second derivative of 4*g + 20*g - v*g**5 + 300*g**l wrt g.\nAnswer: 380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17825738.1 rounded to the nearest ten thousand?\nAnswer: 17830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -2. Let v = -319 - -4787\/15. Sort k, 2, v in increasing order.\nAnswer: v, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19 - 400\/(-18)) + (-4)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {c: 1, t: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63593 and 11970.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 12*v**2 - 10*v. Let b(z) = -1430*z. Give q(b(k)).\nAnswer: 24538800*k**2 + 14300*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 AM and 3:30 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 3\/13  (c) 1.2  (d) 0.4  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -83*f + 13*f - 427 + 278*f wrt f?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 5*a - 1 = 0, 2*a + 3 = 3*w - 13. Suppose j = w*j. Let 2\/9 + j*c - 2\/9*c**2 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 7*n + 54. What is the first derivative of -2 + n + 24*i**2 - 2 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*2*sqrt(10) + sqrt(70)\/sqrt(63))\/(-5*(sqrt(162) + (sqrt(162) - 3*sqrt(162)))).\nAnswer: 19*sqrt(5)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3691 is divided by 1230.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 446 a factor of 4031347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10031 (base 7) to base 9.\nAnswer: 3282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/15 - (-843)\/35. Let q = m + -24. Let k = 769.69 + -773.69. Sort q, k, -1\/3 in increasing order.\nAnswer: k, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -10\/21879 and -139\/16830.\nAnswer: 218790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1332055.6 rounded to the nearest 1000?\nAnswer: -1332000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40 and 6020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1620365407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (159*f**3 - 135*f**3 - 264*f**2 - 72*f**3)*(2*f**2 - 2*f**2 - 2*f**2).\nAnswer: 96*f**5 + 528*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 87d529 (base 15) in base 6?\nAnswer: 350434050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/(-198)*(-12)\/180*9?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.5 + 4.2. What is d rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of -3*a**4\/20 - a**3\/5 + 24*a**2\/5 + 48*a\/5 - 224. What is t in s(t) = 0?\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 470, 1888, 4254, 7568, 11830?\n\"Answer: 474*c**2 - 4*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + 5*q**2 - 4*q - 3. Suppose -4*z = -w + 3*w - 28, 3*z = -w + 19. Calculate n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, r: 1, q: 3, g: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32257, -31456, -30655, -29854?\nAnswer: -29053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2036)\/16 + -4 + 4\/16. Let o = 64 + y. Which is bigger: o or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (1 + (3 - 4)) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -325620 + -10?\nAnswer: -325630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -4*x**3 + 3*x**2 - 4*x. Let b = 11 + -4. Let l(i) = -i**3 + i**2 - i. Give b*l(d) - 2*j(d).\nAnswer: d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of t**3\/2 + 1242*t. Let s(l) be the first derivative of 11*l**2\/2 + 3. Calculate v(s(x)).\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.1844794 + -19.1844898. Let u = c - -15. Round u to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(1008) + 1 - (sqrt(7) + -3*(sqrt(112))**2 + sqrt(175)*-1 + sqrt(7)).\nAnswer: 15*sqrt(7) + 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - 2*p - 2*p)*(2*p + 0*p + 0*p)*(133 - 79 + 100).\nAnswer: -924*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 958454.3+0.0645\nAnswer: 958454.3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -34497.87626 - -1.5?\nAnswer: -34496.37626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 t when three letters picked without replacement from tptppppppppttptp.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.26 + 0.66. What is the third smallest value in c, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g + 14 - 2 - 2)*(0*g - 2*g**3 + 0*g + (g + 2*g - g)*(3*g**2 + 0*g**2 - 5*g**2)) in the form f*g + o*g**4 + y*g**3 + n + c*g**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a. Let x = 46 + -58. Let f be (-3)\/12 - 32115\/x. Let m(h) = 12*h - 2676 + f. What is m(s(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 9, 0, -3 in increasing order.\nAnswer: -3, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32) + -2 + 1 - sqrt(22)\/(sqrt(55)\/sqrt(5))*1)**2.\nAnswer: -6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0*k = 8. Let c = 0 - k. Differentiate -4*s + c*s - 2*s - 2*s - 1 with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 686943842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(7623) + (sqrt(9072) - sqrt(9072)*-2))\/((sqrt(288)*-2)\/sqrt(2)))**2.\nAnswer: 4375\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15240 by 6.\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - 5*i - 7. Let k be c(-6). Let z be 6*(6 - 8)*1. Let l = z - k. Solve -4*x + 5*y = 1, 5*y - 1 - l = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2095564 is divided by 496.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/72 and (1030\/80 - 19)*(3 - 2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 419, 396, 371, 344, 315, 284?\n\"Answer: -i**2 - 20*i + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p + 5. Let g(r) = r - 16. Let j be g(17). Let k(f) = 1. What is j*c(q) - 3*k(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 46*x**3 - 125*x**2 - 7727*x + 7. Let s(v) = 23*v**3 - 62*v**2 - 3866*v + 3. Let a(j) = -3*r(j) + 7*s(j). Find the second derivative of a(k) wrt k.\nAnswer: 138*k - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - j**2 + j + 29. Let u be z(0). Suppose -y + 5*w - u = 0, 5*y + w - 2*w = -25. What is the closest to -2 in 1, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 6*v. Let i = -2021\/3 + 674. Let b(u) be the first derivative of 0*u**2 - 2 + 0*u - i*u**3. Determine r(b(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 6 = 3. Sort g, 0.3, -3\/8.\nAnswer: g, -3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -10 + -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0 and 300724?\nAnswer: 300724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of 0*h**3 - 1 + 0*h**2 + 0*h**4 - 1\/70*h**5 + 2*h. Let p(u) be the first derivative of f(u). Factor p(t).\nAnswer: -2*t**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11968598918 take away -2.05?\nAnswer: 11968598920.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1\/4 - -181\/28. Let w = 2.5 - 3.5. Which is bigger: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/7632 and -131\/1590.\nAnswer: 38160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -923  (c) 5  (d) 4\/3  (e) -1\/15  (f) 132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*c + 11*c - 77*c**2 + 106*c**2 - 26*c**3.\nAnswer: -26*c**3 + 29*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -16. Which is the second smallest value?  (a) -2  (b) s  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 523830416162 less than 0.0008?\nAnswer: -523830416161.9992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of 8762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 4 + 2)*(-n + n + n) - 10*n - 12*n + 13*n + 8 - 7*n - 8)*(3*n**3 + 2*n**3 - 4*n**3).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/1350 and 89\/54944700.\nAnswer: 494502300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 + -11. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4147bf (base 16) in base 14?\nAnswer: 7d5183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*l**3*m*u**2 - 73*l**3*m + 14*l**3*u**3 + l**2*m*u**3 + 5137*l**2*m*u wrt l?\nAnswer: 12*m*u**2 - 438*m + 84*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q + 44 = -5*r + 8*q, 15470 = 4*r + 4*q + 15390 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -72717062 divided by 36358531\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 - 4)*(-2)\/2. Suppose 0 = -l - m - 2*m + 21, 8 = i*m. Solve 5*b - 3*d + d - 18 = 0, -2*b + l = d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 832375723 - 5*m - 832375723.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 191541291427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.1, 41 in decreasing order.\nAnswer: 41, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 3:10 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1271.\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6070, -48781, -164706, -390451, -762622, -1317825, -2092666, -3123751?\nAnswer: -4447686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9765750223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**3 + 0*q + 0*q + 4*q**3 - q**3 - 2*q**3 + (-q**2 - 3*q**2 + 2*q**2)*(-18 + 4*q + 18))*(q**2 + 2*q**2 - 2*q**2).\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 226998 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: Which is the fourth biggest value?  (a) -4  (b) 1  (c) 212  (d) 1\/4  (e) 2\/3  (f) -43  (g) 40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 + 51*u - 628. Give j(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/((-24)\/(-62)))\/(4\/(-32)). Find the third derivative of p*v**6 + 51*v**6 + 31*v**2 - 84*v**6 wrt v.\nAnswer: 3480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in 2, -5\/3, -519, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41.9995 + -42. What is k rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -44 - 471. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 + 2*y**2 - 2*y**2)*(3194 + 471 - 77).\nAnswer: -3588*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 123 + -87. Suppose p + w = 3*p. Calculate the highest common divisor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 3*c - 13. Suppose -23 = -3*s + b, -2*s + 4*s - 2*b = 14. Calculate the smallest common multiple of p(s) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 11*t**2 - 29*t + 50. Let q be j(13). Solve 0 = 7*c - 10 - q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -2*o - 2*o. List the prime factors of (-1)\/1*(6 + o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 0 - 5 = -g, -3*g + 15 = -c. What is the units digit of g + -4 - (0 + -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/2, 1, -352\/5, -1, 5, -559?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 10:11 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2300*h - 572. Let s(q) = -q - 20. Let g(n) = o(n) - 5*s(n). Differentiate g(l) with respect to l.\nAnswer: -2295","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 20*o - 263. Determine u(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 990*k + 87*k = -60162 + 167862 for k.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29e0b (base 15) to base 9.\nAnswer: 224802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/(-11))\/(6\/4). Let h = -0.01 + -3.99. Let s = 3.9 + h. Sort s, -4, j in decreasing order.\nAnswer: j, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 3*g + 3301, 4*g = 5*d - d - 13284. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 9. Suppose -s + g*s + 4 = 0. Sort 0, s, -5 in ascending order.\nAnswer: -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 25 - 2 - (0 + 4) - -1. Suppose 7*t + o = 11*t. Solve 0 = -t*h - 7 - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + 3 - 3)*(y**2 - 3*y**2 + y**2) + 0*y**3 + 3*y**3 - 2*y**3 + (1 + 2 - 1)*(-2*y**3 + y**3 + 0*y**3).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 - 11*b**2 + 10*b + 10. Let j be ((-130)\/(-40) + -7)\/(116\/32 + -4). Calculate z(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -62*f - 6. Let r(y) = 187*y + 17. Let a = 0 - 17. Let x(t) = a*i(t) - 6*r(t). Let z(u) = 39*u + 34*u + 45*u - 116*u. Give z(x(c)).\nAnswer: -136*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 33*c**3 + 5*c**2 - 230. Let i(a) = 26*a**3 + 4*a**2 - 229. Let d(z) = -3*b(z) + 4*i(z). What is the third derivative of d(x) wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 303382 is divided by 12627.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1636 - -5?\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -14. Let u be i*(-12)\/(-27) - -3. Let n = -6.9 - -7. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-11)\/(-22)*(12 + 0). Suppose 2 = -n*v + 5*v. Sort -4, 26, v in increasing order.\nAnswer: -4, v, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**(-13))\/h*h)\/h)**(-36)\/(h**(-7)*h*h**(-18)*h) assuming h is positive.\nAnswer: h**491","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-135)\/(-189) - (8\/84)\/((-4)\/(-18))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0064560956 to five dps.\nAnswer: 0.00646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2*t**2 + 156*t**3 + t - 153*t**3 + 0 + 4*t**4 to the form i*t**3 + g*t + f*t**2 + h + b*t**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 1017632*i**5 - 1017716*i**5 - 1 - 320*i**4 - 92*i - 23 - 16*i**3 + 536*i**2 = 0.\nAnswer: -3, -2, -1\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g + 2*g - 6. Suppose -g*v - 991182 = 598818. What is v rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -293 by 32846.\nAnswer: -293\/32846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.952094 rounded to two decimal places?\nAnswer: -23.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w = 13*w - 15. Solve -6 = w*a, -2*g + 1 + 1 = 2*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -168*p + 5 - 170*p + 333*p as j*p + w and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 78*c + 26870 - 121612 - 4318. Calculate the remainder when c is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 9*i = 0. Let w(r) = 2*r - 1. Let v be w(i). Let t(f) = f - 2*f - f**3 + 8*f**3. Determine t(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18327 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -124\/5 + 126\/5. Find r such that 8\/5*r**3 - y*r**4 + 0*r + 0*r**2 + 0 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/42*(-12)\/51?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 4*p - 46 + 8*p + 16 - 612*p.\nAnswer: -600*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -155 + 158. Solve c*w - 2*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) -152  (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 8 - 6*x + 4 + x**3 + 3*x**2. Let q(w) = w**2 - w - 1. Suppose 0 = u + 3 - 2. Calculate u*r(g) + 4*q(g).\nAnswer: -g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 44490594*o**5 + 3*o**2 - 908048*o + 1.\nAnswer: 2669435640*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 323891 or 323896?\nAnswer: 323891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -3*h**2 + 36*h - 22. Let q(i) = 3*i**2 - 39*i + 25. What is -4*q(b) - 5*s(b)?\nAnswer: 3*b**2 - 24*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/3537 and -91\/6.\nAnswer: 7074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -78.2 * 707.8.\nAnswer: -55349.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*z + 4*u = -43*z - 37969, 2*z - 25307 = -3*u. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 92141774 and 10782.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 22 + 0 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 4*l + 4. Let c(f) = 4*f + 5. Let b = 24 + -22. What is b*c(n) - 3*u(n)?\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -b + 25, 2*d = 4*d - 4*b - 12. Let m be (0\/4)\/(((-16)\/8)\/2). Suppose 6*g - d*g + 6 = m. Solve t + g = -1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2429519 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/4 + (-5166)\/328?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y, 1 i, and 1 z when four letters picked without replacement from yzoyoyyiiyyi.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/(-6))\/(-1 + -2). Let y = 0.5 - -6.1. Let j = y + -1.6. Put j, r, 1\/3 in decreasing order.\nAnswer: j, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13210414422 - 10?\nAnswer: 13210414412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r + 18. Let h be a(0). Find the second derivative of 3*y - 8*y**4 + 2*y + y + h*y**4 wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/17 in 0, -4, -1, -470?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-8))**35*c\/c**(-4)*(c\/(c\/((c\/((c**(-4)*c)\/c))\/c)))\/c assuming c is positive.\nAnswer: c**323","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-231)\/308)\/(-9*(-6)\/36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2378, -4750, -7112, -9464, -11806, -14138?\n\"Answer: 5*m**2 - 2387*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oqkoedkdooofkok. Give prob of picking 1 f, 1 e, and 2 d.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, j: 3, u: 2, t: 1, m: 3, x: 2}. Give prob of picking 1 u and 1 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -56*g**2 - 18*g + 2. Let n be a(2). Suppose -3*v - 4*k - 383 = -0*k, -5*v - 625 = 4*k. Let l = v - n. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24 - -20) + 5 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12794*q + 3087 - 18040 = 23429 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2106*q = 2101*q + 2*t + 90, -8*q - 13*t - 666 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -58, -44, 188, -3 in increasing order.\nAnswer: -58, -44, -3, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2201 minus 18.5005697?\nAnswer: -2219.5005697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**3 - j**3 - 7*j**3 + 12*j**3 - 4*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 54 = -5*o - 34, 3*i = 3*o - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 11\/(-22) + (-254)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*b = b - 11*b + 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -4*x - 4. Solve -x = 3*u - 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -5*h - 17. What is t(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1868)\/(-264789)*(-28)\/(-8)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -19*u + 16. Is n(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 480 and 46980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(3564) - sqrt(3564)*-2) + sqrt(3564))*1)\/(sqrt(256) + (sqrt(256) - (sqrt(256) - (sqrt(256) - sqrt(256)*4*4))) + sqrt(256)).\nAnswer: -9*sqrt(11)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**2 + 0*g + 0*g)*(21*g**2 - 21*g**2 - 12*g**2) + (-g + g - g**2)*(23 - 2*g**2 - 23).\nAnswer: 26*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 479152, 1916600, 4312346, 7666390, 11978732?\nAnswer: 17249372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 663367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 45 or -2?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1286 - 1265 = -5*x - 4*s, x - 5*s = -10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + -2. Let t(y) be the first derivative of 6*y**3 - y**2\/2 - 11. Does 9 divide t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of 11*m**7\/21 + m**6\/30 + 287*m**4\/6 - 71*m**2. What is the second derivative of f(j) wrt j?\nAnswer: 1320*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 89.9 + -93. Let w = 2.9 - k. Which is the second biggest value?  (a) -5  (b) w  (c) -1\/2  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 561913879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -269*a + 93*a + 176*a - 356*a**3.\nAnswer: -356*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 282*o**3 + 623*o**3 - 314*o**3.\nAnswer: 591*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09101124 rounded to 3 dps?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**2 - 8*u + 1. Suppose -4*o - 7 = 17. Let s(r) = 2*r**2 + 7*r - 1. Calculate o*s(h) - 5*w(h).\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -358*o**3 + 4*o**2 + 4*o - 4. Let y(l) = -5369*l**3 + 59*l**2 + 59*l - 59. Determine 59*n(g) - 4*y(g).\nAnswer: 354*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - 1)*(-6 - (-25)\/5). Suppose t = -3*u - 5*v + 352, 0 = -u - 5*v + 48 + 86. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -2*j - x + 16, 4*j - 3*x = 12. Suppose k + j*k = 2863. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - t**2 + t + 1. Suppose -4*o = 4*u + 20, -5*u - 7 - 12 = 3*o. Let y be j(u). Solve -1 = -p + 3*p - y*z, p + 3 = 4*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05 times 254.98\nAnswer: 12.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -47 - (-12 + (-4536)\/56).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**5\/60 + 7*g**4\/24 + 19*g**3\/6 + 325*g**2 + 1. Give v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 q when three letters picked without replacement from {j: 1, u: 2, q: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138318313 + 138318313 - 21*g**2.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3509829932?\nAnswer: 2, 7, 1613, 77713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 8, u: 1, x: 6, z: 3}. What is prob of picking 2 z and 2 n?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*d - 2*a + 19, -5*d + 277 = 3*a + 260 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.71778 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/18 of a hour in seconds?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of 2*h**3\/3 + 191*h. Let x(a) = 979*a. Calculate x(r(n)).\nAnswer: 3916*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of 13*m**4\/12 + 21*m. Let r(s) = s. Determine o(r(i)).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7814585315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:35 PM and 2:59 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 16 = -4*s, 0 = 23*x - 21*x - s + 4. Suppose -3*r = 11*c - 8*c - 1215, x = 2*r + 3*c - 815. Calculate the highest common divisor of r and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + -50?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 4*p**2 - 5*p - 20. Let v be j(-4). Let d(n) = n**3 - n**2 + 7. Determine d(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -0.024, -14, 5?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 177 and 17287?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 6 - 23305*v**2.\nAnswer: -23305*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 2:18 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 3*d + 20. Is (d\/5)\/((-7)\/1015) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from aey?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*m**4 - 54*m**2 + 18*m wrt m.\nAnswer: -24*m**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + -8 + (-2 - -9) + (-8 - (-9 + 10))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4 = -8. Let l = 48 + z. Calculate the remainder when l is divided by 56\/(-2)*1\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 26 - (0 - 0\/2). Suppose 0 = -i - 9 + 113. Calculate the greatest common factor of f and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(-14)*g*g\/(g*(g*g**8*g)\/g*g*g)*(g**5)**(-1\/28) assuming g is positive.\nAnswer: g**(-649\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmww when four letters picked without replacement from wwmmwmmwwmwwmwmw.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 100*1\/(1 - 3). Let v be 126\/10 - 20\/d. Suppose v*c = 12*c + 25. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in sixteen fifteenths of a day?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 35*w**3 - 10*w**2 + 11*w + 74. Calculate g(-2).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 8 = -0 + 2, -68 = -5*q + 4*w for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-89568)\/648)\/311*(-7)\/(14\/60)*1.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*y**3 + 31*y**3 + 6*y**3.\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m - 23*m - 48 = 0. Let y be -2*1\/m + (-240)\/64. Which is smaller: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -656 + 3406?\nAnswer: 2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.76 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 34708 and 20.\nAnswer: 173540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 8:46 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-840)\/7)\/8 + 1*2. Let n be (-446)\/(-26) + 2\/k. Let q(v) = -2 + 1 + 8*v - 1 + 7*v**2. Let w(y) = 20*y**2 + 23*y - 6. Calculate n*q(c) - 6*w(c).\nAnswer: -c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.2 take away 0.100342?\nAnswer: -2.300342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - t = 9. Which is greater: -13\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -223 (base 4) in base 12?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -99.4 times 31?\nAnswer: -3081.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 2, -5*w - 2*u - u = 4. Let l be w\/(-6) - (-32)\/(-24). Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1390*f - 2*f**2 - 5 - 15*f**3 + f**3 + 1389*f - 4*f**4 in the form p + c*f**3 + z*f**4 + m*f + d*f**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 12. Let r be -2 + 9 - (-36)\/(-9). Solve r*s + 3 + v = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 601 + -4a?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3 = -6*d. Suppose 0 = -2*o + 3*o - d. Suppose o = 3*q + 3*z - 2*z, 4*z + 2 = -5*q. Solve q*v = -1 - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1469080 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 - ((-10 - -11) + -15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.810712534 - 9240.\nAnswer: -9238.189287466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 834217 is divided by 834177?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -117 - -121. Let k(p) = 6 + 2 - 5 + 2*p - x. Calculate k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1894 + -1895. What is the biggest value in 17, 1\/2, 9, x?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00298287604 to 6 dps.\nAnswer: 0.002983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 5 + 171 = 91*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 8067, 8069, 8071, 8073, 8075?\n\"Answer: 2*g + 8065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 406945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-4)*(-1 + -473). Let f be -5 + 1 + (6 + -6 - -6). Suppose -m = f*m - w. Calculate the remainder when m is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/7  (b) -1\/6  (c) -1026  (d) -2\/13  (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 199 a factor of (0 - (-21492)\/(-90))\/(1\/(-95))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h*h*h\/((((h\/h**0)\/h)\/h)\/h)*h)*h*h*h**(-1\/3)*h\/h**(4\/7)*h**1)**(-3\/43))**(13\/3) assuming h is positive.\nAnswer: h**(793\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -40639.991 rounded to the nearest 100?\nAnswer: -40600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k*k*k**3))**(-2) assuming k is positive.\nAnswer: k**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 2.853036 kilograms?\nAnswer: 2853.036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 6 = 3*t. Let m be 0*t\/(-4) - -29. Suppose -1 = -3*x + m. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven fifteenths of a millennium in months?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of g**6\/720 + g**5\/20 - g**4\/6 + 4*g. Let x(t) be the third derivative of d(t). What is x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**2 - 63*i - 238. Let n(x) = x**2 + 31*x + 120. Let t(f) = -3*c(f) - 7*n(f). Let w be t(-22). Solve 0 = -2*q - w + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -1\/8, 0.09, 1\/9, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -9*l**2\/2 - 5*l - 19. Let s(g) = 4*g + 2. Let m = -116 - -113. What is m*f(h) - 7*s(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -j**9\/1080 + j**5\/15 + j**4\/12 - 22*j. Let x(s) be the third derivative of o(s). What is the derivative of x(z) wrt z?\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 6:05 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -5*k**3 + 144695*k**2 - 1127551875*k + 1144505390625 = 0?\nAnswer: 1189, 13875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*v - 38*v - 209 = 283. Solve -13*a = -11*a + v for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(168)*-2 + sqrt(168) - sqrt(168)) - sqrt(168) - sqrt(168))\/sqrt(4))\/(sqrt(648)\/(sqrt(12) + sqrt(108))).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 24. Suppose -5*n + n = -28. Let v(k) = k - 2. Let d be v(n). Solve l*m = -5*f - 9, f + f - 4 = -d*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 PM and 5:16 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -4*l**2 + 3*l. Let i(g) = -7*g**2 + 7*g. Let d(z) = -3*i(z) + 5*t(z). Let s be d(6). Put 2, s, 5 in ascending order.\nAnswer: s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11188 + 134179\/12. What is the common denominator of w and 127\/270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 PM and 11:12 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 22 + (41 - 29) + -23\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44.59999936 - -44.6. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggi. Give prob of picking 1 i and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {w: 3, c: 2, s: 2, e: 4, j: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -0.3.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 997100 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -349 - 29*a**2 + 349.\nAnswer: -29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 10150.9301 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0776558702 to five dps.\nAnswer: -0.07766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22707*d**2*l**5 + d**2*l**2 - l**6 + 4*l**2 - 717 wrt l.\nAnswer: 1362420*d**2*l**2 - 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 527290821 to the nearest integer?\nAnswer: 22963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/15)\/(-8*29\/1740*3\/78).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*y - 66*y + 4*z = -2221, 8*y + 2*z - 5948 = 0. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 40\/120*(0 + 0). Solve 13*r - 12*r + 2 = n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.22879 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.07 + -1.13. Let n = 1.3 + v. Which is the third biggest value?  (a) 2  (b) -0.5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dg when two letters picked without replacement from pdeugdudgddudugdduu?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = k + 4*f - 0*f, 4*k = -f - 100. Suppose -5*t + 110 = 3*l, 4*l + 5*t + 0*t - 145 = 0. Let g = l + k. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -3*x - 2*x + 3*x + 1 + x. Let s be d(1). What is the first derivative of s + 2*y**3 - 2 + 4 wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**2 - s**2 + s**2)*(5352 - 2557 + 848 + 3150).\nAnswer: -27172*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3946382359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 19 + 11 = 0. Suppose -u*d = 70 - 22. Let m = d + 12. Solve q = m, 2*k + 5*q = -0*k + 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-108)\/(-8))\/((-198)\/132).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 949 and 7957.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + -35. Let f = 40 + u. Let n be 1\/6 + 2\/4. What is the third biggest value in 0.5, n, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 - -18*35\/(-10). Let h be (-1)\/5 - 372\/15. Let c = h - l. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + q + 21 = 0, -153*u + 6 = -155*u + 2*q. Which is the second smallest value?  (a) -0.01  (b) u  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -g + 8*g. Let m(r) = -r**3 + r**2. Let v be m(0). Suppose -i + 3 = -v. What is the remainder when g is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 273 - 267. Let v(p) = 16*p - 26*p + 12*p - 3 + 0 - z. Calculate v(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 13*r. Let m(j) = -3*j - 5. Let u(l) = -10*l - 16. Suppose 0*w = 2*w - 2*d, 4*w - 5 = 3*d. Let v(b) = w*u(b) - 16*m(b). Determine v(k(t)).\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -12621707?\nAnswer: 12621712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 989 - 954. Let g = 1 - -7. Suppose 24 = 2*m - m - 5*j, 0 = -m - 3*j + g. Calculate the highest common factor of c and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21.905154268977 - -19.\nAnswer: -2.905154268977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**3 - 46*a**2 - 2*a**4 - 2 + 4 + 47*a**2 to y*a**2 + b + s*a**3 + q*a**4 + n*a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 17 = -19, -3*h = 2*s + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3832582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4963, 18284, 31605?\nAnswer: 44926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + -1)*(-76)\/(-76). Let p(t) = 3*t**2 + 5*t - 3. Let a be p(1). Put 15, x, a in ascending order.\nAnswer: x, a, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 2*j + 7, -4*r - 15*j = -20*j + 8. Solve r*s - 4 = 3*l - 1, -3*s - 3*l - 21 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 0)*(-1 + 1 + 3*l)*(1298 - 499 - 380).\nAnswer: 2514*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -560274, -1120719, -1681164, -2241609?\nAnswer: -2802054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20 - 14. Let x = k - 4. Suppose 20*o**2 - 26*o**x + 3*o**3 + 2*o + o = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -105710 to the nearest one thousand.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/54 and 131\/516.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/2*-35*8\/(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2258 times -10.33\nAnswer: 23325.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-2)\/60*-3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21726 - 9612. What are the prime factors of v?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -89*f**2 - 85*f**2 + 12 + 172*f**2 in the form q*f + c*f**2 + j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of -332*f**5 - 281*f**3 + 162. What is the third derivative of w(y) wrt y?\nAnswer: -39840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -13943, -27771, -41481, -55073, -68547, -81903, -95141?\n\"Answer: 59*j**2 - 14005*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4a405 - -18?\nAnswer: -4a3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3*d = -2*d - 19, -j + 4*d + 17 = 0. Let g = j - 1. What are the prime factors of (g + 0)\/(-1) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -446, -3515, -11840, -28049, -54770, -94631?\nAnswer: -150260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 4*b + 6 = 0, -2*h - b = -3*b - 28. Let a(l) = -l + 9. Let m be a(6). Solve 13 = -4*z - j, -m*j + h = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 12:31 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z + 180*z - 1337 = 0. Solve -q = t - z, 2*q + t + 19 = 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 6 = -3*u. Suppose -u*p + 61 = -4*s + 16, p - 34 = -5*s. Calculate the remainder when 73 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 28*(-2 - 15\/(-6)). Suppose n*a + 9 = 37. Solve -5*x + 12 = -a*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -627, -625, -623?\n\"Answer: 2*y - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 - -1)\/1 - 1. Let j be (2 + m)*(0 - 2). Let k be 2\/j - 954\/(-6). What is k rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2955320 rounded to the nearest 10000?\nAnswer: -2960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 390 and 20.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2543*u**3 + 2*u**2 + 3047*u**3 + u**2 - 5972*u**3 - 4*u**2 to t*u + y*u**3 + m*u**2 + a and give y.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 641 - 628. Let w be (-1)\/(-4) - 73\/4. Let b be (13\/(-2))\/(1\/w). Calculate the highest common factor of h and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 + 5*m**2 + 3*m - 2. Let l be x(-4). Suppose -5*q + 2*o = -35, 3*q - 12 = l*o + 13. List the prime factors of (-4)\/5 + 44\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31\/2 + 16. Let i = -0.4 - 0.1. Let y = i + 0.1. Which is the second smallest value?  (a) f  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + 12*f**2 - 12*f + 14. Let r be u(-13). Which is bigger: r or 1\/160?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -14*a + 487. Give k(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -867\/1732 - -1\/1732. Which is the nearest to 0?  (a) -3  (b) -4  (c) x  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -25. Suppose 12*t - 8*t = 3*f - k, -5*t - f - 1 = 0. Is t at least as big as -1\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 4\/5  (c) -1  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 7, -1, 0.03, 1\/3, 0, 25\/44 in ascending order.\nAnswer: -3, -1, 0, 0.03, 1\/3, 25\/44, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-3)*-3 - 2. Suppose k - x = -2*k. What is the units digit of 1\/2 - (-7)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 9 - (24 - 28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - s - 17. Suppose s - 5 = 4*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -722 divided by -517\nAnswer: 722\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (168\/660)\/(((-744)\/(-12))\/(-682)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -1\/32, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(784) - (sqrt(4900)*2 - sqrt(4900)))\/((sqrt(42) - (sqrt(6048) + (sqrt(6048) - 1*sqrt(6048) - sqrt(6048))))\/sqrt(6))*6.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {o: 3, r: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53520852*r**2 + 26760016*r**2 + 26760837*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 66 and 1170.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -372 + 368. Let o be (2*(-27)\/(-12) + d)*2. Which is smaller: o or 27\/23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.120916453 - 0.12093. What is v rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -4, 14, 48, 104, 188, 306, 464?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2\/2 + 5*x + 7\/2.\nAnswer: (x + 1)*(3*x + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1268 divided by 42155.\nAnswer: 1268\/42155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -3*((sqrt(2673)*-2*2)\/(((sqrt(72)*-2)\/sqrt(3))\/sqrt(8)) + -3))**2.\nAnswer: -1296*sqrt(11) + 32220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 0.06  (c) -2  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.041208, 0.1, 0, 4 in decreasing order.\nAnswer: 4, 0.1, 0.041208, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 42 = 2*h, 0 = 4*h + 5*j - 24 + 5. Suppose 2*z - 6*n = -2*n + 10, 4*n - 2 = -2*z. What is the lowest common multiple of h and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l - 5. Is x(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7435 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 265 and 137005.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*5.6.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 5*v**2 + 3*v - 2. Let s be r(-6). Suppose -5*y = -56 + s. Calculate the least common multiple of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -30*t - 225. Let o be b(-9). Let m = 22 - 45. Let a = o - m. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**2\/5 - 3\/5.\nAnswer: 3*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 130 + 4376?\nAnswer: 4506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 24*a = -25*a + 4, -a + 4 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from qaeqbxu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18498 - -18497.66932. Let i = -0.334 - -0.004. Let o = i - y. What is o rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88056 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmrmrmmmmmmmmrmm. Give prob of picking 1 m and 2 r.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -170.631 + -0.369. Let d = -161.9 - c. Let k = d + -9.10000776. What is k rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37833406.\nAnswer: 2, 13, 41, 35491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5265*v**2 - 4 + 6*v**3 + 97*v**3 + 5*v + 4 - 5265*v**2.\nAnswer: 103*v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4336, -8670, -12992, -17296, -21576?\nAnswer: -25826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2952)\/27)\/(32\/(-36))*106\/6. What is the greatest common factor of t and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2020000210 (base 3) in base 4?\nAnswer: 22223301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/4  (b) -1.3  (c) 1\/4  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500) + -5)**2 + 5 - (1 + -3*sqrt(720))) + -2.\nAnswer: -64*sqrt(5) + 527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, h: 6, s: 4}. Give prob of picking 1 h and 1 s.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 444 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 52 = -13*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-260)*-26)\/(2\/50690). Does 10137 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 57*g - 564. What is u(12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + -5 + 24\/8. Let o = -7 + 13. Let y be 3\/(3\/o - 2). Which is the closest to -2?  (a) r  (b) 3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -5  (b) -0.15  (c) -81  (d) -0.6  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/8*72\/(-27). Suppose -2*l + 5*n + 104 = 0, -w*n + 12 = -3*l + 190. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -125, -153, -199, -263, -345, -445, -563?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - j - 98, -3*c - j + 86 - 24 = 0. What is the smallest common multiple of 10 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + 0*3\/9. Let f(j) be the first derivative of 2*j**2 - j + j + j + 2*j - l. Find the first derivative of f(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/35426 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b4d + -4?\nAnswer: b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is w in w**3\/8 - 15*w**2\/8 + 9*w\/2 = 0?\nAnswer: 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13 is divided by 44\/6 + (-1)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/76 and -31\/475.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11100100101001011100 (base 2) to base 8.\nAnswer: -3445134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.27 - 0.27. Let a = 1.06 - 0.16. Let z = a - 1. Which is greater: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/(-3))\/(2\/(-6)). Find the third derivative of -y*s + 8*s - 5*s**2 + 11*s**6 - 5*s wrt s.\nAnswer: 1320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1680 - -2.\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + b - 2, 5*b = 3*m - 5*m + 10. Suppose 4*z + 3*w - 60 = m, -z + 13 = 5*w - 2. Solve -u = 2*u + 3*d, 4*d + z = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 687881.1 years?\nAnswer: 687.8811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.97 + 0.03. Let m = 33.4 + -24. Let n = m + -9.8. What is the biggest value in n, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, x: 4}. Give prob of picking 1 z and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -129*c**2 - 1366*c - 97. Give y(-10).\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-18) + (-2)\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x + 8*x = 2*h - 140, 0 = 5*x + 2*h - 344. What is the remainder when 146 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/7))**(-2\/133)\/(p**(-1))**(2\/19) assuming p is positive.\nAnswer: p**(94\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -704, -1509, -2316, -3125, -3936, -4749?\n\"Answer: -d**2 - 802*d + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 898 at least 885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -71 in 0, -5, -2\/2475?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -c**3\/5 - 881776*c**2\/5 + 881783*c\/5 + 5290662\/5 = 0.\nAnswer: -881777, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 5*u**3 - 21*u**2 - 23*u - 13. Calculate d(-4).\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*u**2 - 3*u**3 + 16*u**2 - 10*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 355*a**3*m**2*t + 3*a**3*t**2 + 3*a**3 - 2*a**2*m*t + 1541*a*m**2*t**2 + 9*a*m*t**2 + m*t**2 - 27*m*t + 23*t**2 wrt m?\nAnswer: 710*a**3*t + 3082*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 657*n - 102672 = -2688*n - 933*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 PM and 2:39 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -10160 + 5076 + 5067 + 6*j. Determine x(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w**3 + 10*w**2 - 8*w - 7. Let y be s(3). Suppose -5*d + 10*d = 105. Suppose d = u + o - 6*o, 4*u + 2*o = 62. Solve -y*t = -t - u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v - 1. Let m(l) = 3*l + 7. Calculate -2*m(u) - 14*q(u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.3 - 2.7. Let h = 3 + -1. Let u be (0 - -2)*h\/2. What is the second biggest value in u, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 3*l**3 + 15*l**2 + 26*l - 96. Calculate v(-4).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-15)\/9 - 2\/6. Let l be -2*k\/(-2)*-3. Let d(t) = 2*t - 12*t**2 - 2*t**3 + 6*t**2 - 4*t**3 + 1022 + 7*t**3 - 1029. Give d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 3)*(-27*s**2 - 56*s**2 - 45*s**2)*(-s**3 + 0 + 0).\nAnswer: 128*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-30)\/(-36))\/((-2)\/2). Suppose 0 = -v + 1 - 2. Which is bigger: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 18985536789633.\nAnswer: 18985536789631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 178183401 to the power of 1\/3, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3879 = c + v, -v - 3869 = -2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - 940.842761\nAnswer: -940.542761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/10, 5, -2\/15, -15, 7 in ascending order.\nAnswer: -15, -3, -2\/15, -1\/10, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 22685 + -3?\nAnswer: 22682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of 3*l**5\/5 - 102*l**4 + 4624*l**3 + 289. Factor m(g).\nAnswer: 3*g**2*(g - 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 8*q**2 + 9*q + 4. Let k be 3 + (-3 - -2) - -2. Suppose -k*l = -l + 27. Let n be m(l). Solve 6*d = 2*d - n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i\/(i\/i**(-1))*i*i*i**(-2\/3)*i**(-17)\/i**15 assuming i is positive.\nAnswer: i**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3052, -12207, -27466, -48829, -76296, -109867?\n\"Answer: -3052*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 4*k - 3 + 29, -4*b - 4*k - 24 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -180*h**2 + 12852*h + 21. Let z(j) = -43*j**2 + 3213*j + 5. Calculate 5*i(r) - 21*z(r).\nAnswer: 3*r**2 - 3213*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c**2. Let i be (((-3)\/6)\/1)\/(1\/(-6)). Let j(l) be the first derivative of -1 - l**3 - 6 + 11*l**i. Calculate s(j(u)).\nAnswer: 1800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express t - 3*t + t as p*t + g and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i + 1. Let z be r(3). Let s = -35 + 60. Find the common denominator of 69\/8 and (z - s\/6) + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -54 (base 13) to base 10.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 6*u + c - 14, -u + 3*c + 6 = 0. Solve u*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 f, 1 p, and 1 i when four letters picked without replacement from {w: 1, f: 1, i: 1, c: 1, h: 1, p: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -4*l + 1. Let h(a) = -a**2 + 4. Let x be h(-3). Suppose -12 = -f + 4*p - 1, -3*f = 2*p - 47. Calculate the lowest common multiple of f and s(x).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 80679?\nAnswer: 80675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -31  (b) 1\/5  (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/k**(-6\/7)))\/(k\/(k*k**(-5)*k))*(k**2)**(-10\/7) assuming k is positive.\nAnswer: k**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of 0*a**3 + 0 + 0*a**2 - 1\/10*a**5 + 2*a + 3\/4*a**4. Find the third derivative of l(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ngv when three letters picked without replacement from ncnvjglcnljg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (3 + 3 + -2 + -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2 - y + 2. Let t(w) = -9*w**3 - 4*w**2 - 8*w + 13. Let m(i) = -6*j(i) + t(i). Let l(z) = -z + 7. Let d be l(6). Calculate m(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-9 + 3)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-932)\/24 - (-1)\/6. Let c = l - -39. What is the third smallest value in 5, 0.1, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10121023230333 - 12?\nAnswer: -10121023231011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21738, 21742, 21758, 21792, 21850, 21938, 22062, 22228?\nAnswer: 22442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -142, -256, -370, -484, -598, -712?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 98, 134, 192, 272, 374?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 + h + (1 + 0 - 3)*(5 - 2*h - 5) + (4 - 2 + 0)*(6*h + 9 - 9 + (3 - h - 3)*(2 - 2 + 2)) to l + d*h and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1210*i*t*z**2 + i*t - 4*i*z**2 - 24*i*z + 64*i + t*z - 9*t - 65*z**2 - 3*z wrt z.\nAnswer: -2420*i*t - 8*i - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -a7 (base 14) to base 7\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 AM and 2:36 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3359820*v**2 - v + 59263204.\nAnswer: 6719640*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1680786 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1061220394 and 8?\nAnswer: 4244881576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.8 * 22.3.\nAnswer: -40.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 488162 and 36.\nAnswer: 8786916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 50 = 4*o, 98*o = 101*o - 2*v + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 + 19*p**2 - 234*p + 733. Give m(-28).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 68461, 68464, 68465, 68464, 68461, 68456?\n\"Answer: -v**2 + 6*v + 68456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 10*u - 13*u - 24, -3*i - 26 = 4*u. Let a(c) = c + 1. Suppose 4*o + 8 = -0. Let d(f) = f**2 - 2*f - 2. Calculate i*a(z) + o*d(z).\nAnswer: -2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t - 6*t + 0*t + 3*t. Let z be c(7). What is the remainder when (-84)\/(-49) - 2\/z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.1753497cm?\nAnswer: 0.000001753497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1983689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -1a4f?\nAnswer: -1a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20 - 1\/((-3)\/9). Suppose 26*q - 531 = n*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 -1800860 rounded to the nearest 10000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-6\/11)\/((l\/(l*l**1)*l)\/l))\/(l\/(l*l*l**(-2\/17))*l**(2\/9)))\/((l**0)**(-8\/13)\/((l**(-1\/17)*l)\/(l\/((l\/l**(-1))\/l)*l))) assuming l is positive.\nAnswer: l**(1777\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-153)\/510 + (-6)\/(-45)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -998 times 1.3\nAnswer: -1297.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -0.072?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 - 2*x**2 + x. Let r be d(1). Let m(o) be the second derivative of 0*o**3 + r + 1\/2*o**2 - 1\/12*o**4 + o. Let m(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of -c**4\/24 + c**3\/2 - 702*c**2. Give l(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + g + 15 = 0. Suppose 0 = b - 5*d + 2 - 23, 5*b = g*d + 65. Which is smaller: -0.2 or b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 9.6?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 8 * 1095652\nAnswer: 8765216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-1\/4))\/v)**(-50)\/((v\/(v\/v**(-2\/19)))\/(v**(-10)*v)) assuming v is positive.\nAnswer: v**(-813\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26171214*p**3 - 66803*p**2 + 161*p wrt p.\nAnswer: -157027284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of 517*w**4\/12 - 29*w**3\/6 - w - 170. What is the second derivative of a(l) wrt l?\nAnswer: 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**2 - 4 - 5*g + 3*g**2 - 6*g**2. Suppose -33*y = -37*y - 12. Is a(y) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 257?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-5)*6\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-93*q**3 - 1371*q + 1371*q)*(3*q**2 - 2*q**2 - 2*q**2).\nAnswer: 93*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*y - 17. Let h be (-1)\/(3\/y) - 3. Suppose -2*v - 206 = -4*b, h*b - 5*b + 285 = 3*v. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 15*o**2 - 2*o + 1. Let z = 2 + 2. Suppose -5*d = 2*y - 6*y + 28, -z*d = y + 14. Is m(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, d: 1}. What is prob of sequence dx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (300\/1152)\/(-25)*(-1 + 118\/(-310)) and -169\/2640?\nAnswer: 81840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 42216 + -13391. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125.48517 microseconds in minutes?\nAnswer: 0.0000020914195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 377, 379, 381?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10 - 32 - 36 + 1)*(-1 + 8*y + 1 + (-2 - 3 + 2)*(2 - y - 2)) to the form a + j*y and give j.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-119)\/(-34) + -4)\/(1\/(-60)). Let v(d) = d**3 + 12*d**2 + 18*d - 14. Let t be v(-10). What is the highest common factor of f and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-31 - -15 - 19) + 15\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(3\/8)*k**2)\/(k**6\/k**(-6\/7)))**(-3\/5))**(-21) assuming k is positive.\nAnswer: k**(-2259\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -292.8 - -229. What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 218017362 divided by -1399.\nAnswer: -155838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -16149\/5630?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -719*l + 3442. Calculate t(5).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the third derivative of -t**6\/24 + 8*t**5\/3 - 985*t**4\/24 - 575*t**3\/3 - 12*t**2 - 12*t - 13. Let y(j) = 0. What is j?\nAnswer: -1, 10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.65856265 rounded to 4 decimal places?\nAnswer: -0.6586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*j - 7, 5*v - 4*j + 5 = j. Suppose -5*z + 1 = -14. Put z, v, 5 in decreasing order.\nAnswer: 5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20675.84 and 5.\nAnswer: 103379.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1852703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 8:03 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, d: 2, t: 5}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61 + 7. Find the first derivative of -2 + 13 - 54*a**2 - 3 + n*a**2 wrt a.\nAnswer: 28*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r - 3. Let k(j) = -j - 1. What is 4*k(i) - s(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - -2. Let t(k) = -k**3 + 30*k**2 - 10*k - 549. Let j be t(29). Find c, given that -5 + 12 - m + 3*c**j - 3*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3060721 + 2?\nAnswer: 3060723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 3. Let o(r) = 2*r**2 + 8. Let l(u) = -8*h(u) + 3*o(u). Let j(v) = -88*v**2 - 3. What is l(j(k))?\nAnswer: -15488*k**4 - 1056*k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 8:02 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s - 1. Let f be t(-1). Suppose f = -b + 3*b - 16. Let p be (0 - 1)*(-8 + b). Solve 0 = q, 3*v + q + 16 - 1 = p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**3 + 15*u**2 + 5*u + 3. Let x(t) = -t**3 + 7*t**2 + 2*t + 2. Let y(q) = 3*i(q) - 7*x(q). Calculate y(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*((-48144)\/(-3245) - 15).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28*l**4 - 3*l**3 + 655*l**2 - 2388706*l wrt l?\nAnswer: 336*l**2 - 18*l + 1310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/8, 0.6, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 124609*n**4\/2 + 33182*n**3 - 87009*n**2 - 24346*n + 67081\/2.\nAnswer: (n + 1)**2*(353*n - 259)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -986*h + 557 = 2888 + 14431 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 17*g + 18*g + 43597 = 0, -5*g = -2*v + 87194. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 4:40 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -661487, -1322973, -1984479, -2646011, -3307575, -3969177, -4630823?\n\"Answer: -r**3 - 4*r**2 - 661467*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express j + j**2 - 4*j**4 + 6*j**4 + 0*j**4 + j**4 in the form g + t*j**3 + o*j**4 + x*j + q*j**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11398 and 1210894.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - (74 - (156 + -142 + -3 + -16))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 154*p**2 + 2 + 325*p**2 - 145*p**2.\nAnswer: 334*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -2411?\nAnswer: -4\/2411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 53 = 5*q, -4*q - n + 4*n + 24 = 0. Suppose -50 = 8*h - q*h. Let p = h - 43. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -115676, -115863, -116048, -116231?\n\"Answer: k**2 - 190*k - 115487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 8:46 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 + -11. Suppose 3*g + 5*u - 15 = 0, 4*g + u - 3 = m*g. Suppose 0 = -g*r - 3*r + 27. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*f**2 - 2*f**2 - 2*f**2)*(-1 + 3 + 1) + 2*f**2 + f - f + (3 - 6 - 6*f + 4)*(-2*f - 3*f + 3*f) to q + h*f + k*f**2 and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -37363 greater than -37364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3079571673 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 54*d - 57*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -848.12922 rounded to the nearest 10?\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 4\/23, 45\/7, -5, -2, 4\/9?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110451 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f - 5. Let r be b(4). Suppose 24 = -r*g + 3*n, -g = g - 5*n + 10. What are the prime factors of ((-4)\/g)\/((-3)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 666473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.968662 rounded to 3 decimal places?\nAnswer: 11.969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.98062 + 0.06762. What is z rounded to one decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*o = -36*o + 108. Let k be (40\/25)\/(o\/15). What is the nearest to -2\/9 in -1\/5, k, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-c + 4*c - c)*(-1 + 3 - 3) + 6*c + c - 4*c + (-c - 3*c + 0*c)*(16 - 7 + 16) in the form m*c + d and give m.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*d**3*i**3 + 28*d**3*i**2 - 61*d**2*i**3 - 2*d**2*i**2 + 3*d**2 - 4 wrt d?\nAnswer: -210*i**3 + 168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -805773724 + -0.1?\nAnswer: -805773724.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d*k*x + 5*d*k - 9*d*x - d - 3*k*x + 2*k - 113 wrt x.\nAnswer: 2*d*k - 9*d - 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16383*c**3 - 16383*c**3 + 2992*c**4)*(-8 + 2 - 1)*(0 + 0 + 1)*(0 - 2 + 1).\nAnswer: 20944*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 7.19  (b) -8\/5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 23*c**2 - 27*c + 110. Determine j(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1360194 and 253302.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/32*(-2360)\/(-118).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**4 + 3 - 3 + (2*l**2 - 4*l**2 - 6*l**2 - 2*l**2 + 4*l - 4*l - l**2 - 1 + 1 + (3*l + 2*l - 4*l)*(2 - l - 2))*(-4*l**2 - 2*l**2 + l**2).\nAnswer: 59*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 371\/6 - 62. Which is the third biggest value?  (a) f  (b) 3  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 49*u = 533 + 235 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**2 - 253313864*u - 253313862 = 0. What is u?\nAnswer: -126656931, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 5*j - 10. Suppose -224 = -4*v + 4*x, -3*v - 16*x + 174 = -17*x. Calculate the remainder when v is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 176622745 and 4225.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0098 and 6524.26.\nAnswer: 6524.2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-34\/3)*f**43 assuming f is positive.\nAnswer: f**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1194509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, g: 4, j: 1, i: 1, h: 11}. Give prob of picking 1 m, 1 h, and 1 j.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 359, 2928, 9903, 23486, 45879?\nAnswer: 79284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -8*q + 2. Let n(o) = 17*o - 5. Give -7*h(x) - 3*n(x).\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -43*f*t**3*z**2 - 2*f*t*z**2 - 3*f*z + 2*t**3*z**2 + 4*t**2 + 12*t*z - 2*t + 5*z**2 wrt t?\nAnswer: -258*f*t*z**2 + 12*t*z**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from ooolylyo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - -0.196?\nAnswer: 19.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4*u = -30, -u - 20 = -s + 2*u. Suppose s*k + 0*k - 70 = 0. Let w be k\/7*(-1)\/(-2). Solve 0 = -2*z - o - 2 - w, -5*o - 26 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1405491 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -110, 161, 934, 2461, 4994, 8785?\n\"Answer: 42*t**3 - t**2 - 20*t - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6398, -12977, -19556, -26135, -32714?\nAnswer: -39293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 + 3*b**2 - 6*b - 4. Let g be m(-4). Suppose -2*k + 6*k + 36 = g*z, -3*z - 2*k = -7. What is the biggest value in 0, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of 4\/35*w**5 + 1\/7*w**4 - 74 - 8\/7*w**3 + 0*w**2 + 0*w. Find d such that a(d) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 6. Suppose -7*b = -10*b + z. Let k = -10 - -14. What is the closest to 0 in b, -3, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of -f**7\/70 + f**6\/20 + 3*f**5\/20 - 8*f**2. Factor u(y).\nAnswer: -3*y**2*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - 4*d + 2*d)*(28*d - 28*d - 2 + 6*d**2).\nAnswer: -12*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170 + 30 = -7*u. Suppose 10*k + 10*k = u. Solve -k = 4*c + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {h: 6, j: 1, o: 7, x: 2, t: 1}.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 13b - -2277b?\nAnswer: 228ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.688 - 1.393. Let x = 0.405 + z. Which is the closest to -3\/8?  (a) -5  (b) x  (c) -2\/5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197048 smaller than 197048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2214968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3734 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 15*o**2 - 8*o - 9*o**2 - 12 - 5*o**2. Let h be a(10). Suppose -h*c + 11*c - 78 = 0. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15975\/13419*14\/(-5)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/1463380 and -41\/40.\nAnswer: 2926760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 6*r**2 + 4. Let f be 8\/28 + 40\/7. Let t be i(f). Find the second derivative of -t*a**5 + 5*a**5 + 4*a - 4*a - 2*a wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 69 + -37 + (-44 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11383 = -304*q - 17*q - 657 + 2756 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 212 (base 12) in base 16?\nAnswer: 12e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 3 + (-1 + 0 - 1)*(-13 - 1 - 8))*(3*z - 5*z + 0*z).\nAnswer: -86*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = v + v, 5*m - 9 = v. Suppose -u = m*u - 9. Suppose 6*t + u = -3. Let b(n) = -2*n + 2. Let i(w) = 1. What is t*b(d) + 2*i(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1240 and 120.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(5) + sqrt(20)\/sqrt(4))))**2 + sqrt(5) - (sqrt(5) - (sqrt(10)\/sqrt(2) + -3 + sqrt(5))).\nAnswer: -4*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 + -11. Suppose n + g = 6*n. Let p be 72\/20 + (-12)\/20. Solve s + 3*l = l + p, n*l - 41 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -i**3 - 656*i - 66111 wrt i.\nAnswer: -3*i**2 - 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66 or 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-1 - -6) + -5 + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 476 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45770?\nAnswer: 2, 5, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -681*w**3 - w**2 - w + 3. Let p be g(1). What is p rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 231242?\nAnswer: 231233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 53.6603298271 and 0.68?\nAnswer: 52.9803298271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/8091087 and -77\/174.\nAnswer: 16182174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 121591 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2990587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 2774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*f = 6*f - 28 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - -2)*((-14)\/(-4) + -3). Let m(b) = 15 + 13*b + 0*b**2 + 0*b**2 + 4*b**2 - 3*b**w. What are the prime factors of m(8)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 0)*-20*1. Let o be 13600008\/h - 6\/15. Round o to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -232 divided by 58?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2553 divided by -69.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38 - -68. Suppose 3*n = -3*s + u, 2*s = 3*n - 3*s + 2. Factor -n*i**4 + 2 + 8*i + 25 - 6*i**2 + 12*i**3 - 44*i + 9*i**4.\nAnswer: 3*(i - 1)**2*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17 - 44) + (114 - (27 - 14)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 157, 306, 443, 562, 657, 722?\n\"Answer: -j**3 + 156*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6596, -5682, -4768, -3854?\nAnswer: -2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 33*w - 126. Let t(i) = -1031*i - 5151. Let y be t(-5). Calculate m(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -54*i**4\/17 - 552258*i**3\/17 + 2762190*i**2\/17 - 4604150*i\/17 + 2558000\/17.\nAnswer: -2*(i + 10232)*(3*i - 5)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21250 and 45900.\nAnswer: 1147500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3013*y - 2149*y = 475*y - 394590 for y.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 427885 is divided by 68764.\nAnswer: 15301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 17978.\nAnswer: -5\/17978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1258 times 166\nAnswer: -208828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 313, 0.3, -3\/20 in decreasing order.\nAnswer: 313, 0.3, -3\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {d: 7, g: 4, w: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -9, -35, -8, -4, -1.\nAnswer: -35, -9, -8, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22 - -30. Let f = 9 + -5. Let v(d) = 3*d**3 - 2*d**2 - 3*d + 3. Let t be v(2). Solve -f*j - t = -n, -n - r = 2*j - 3*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23304341 and 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**2 - 186*a = 0. Calculate a.\nAnswer: 0, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3.2018, -9, 13, -0.2?\nAnswer: 3.2018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 0.5. Let c = -7 + 8. What is the closest to c in z, 0.2, 1\/10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s - 4*s**3 + 3*s**3 - 4*s + (2*s**3 - s**3 - 3*s**3)*(-2 + 2 + 1) as o*s**2 + q*s + z + u*s**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 473 + -407. Let l = 1931 - 1337. Calculate the greatest common factor of b and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w**2 + 18*w + 4*w**3 - 18*w.\nAnswer: 4*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o**3 + 3*o**2 - 5*o + 4. Let s be p(-3). Suppose s = 9*c - 29960. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -0.3, -9202, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 11*b - 39 = 0, 3*j - 55*b + 57*b = 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*x**5 - 262*x**4 + 624*x**3 - 108*x**2 - 864*x + 162 = 0. Calculate x.\nAnswer: -1, 3\/16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24 - -22. Suppose -3*o - 2 + 14 = 0. Suppose -p = -o*a - 14. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63821?\nAnswer: 19, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -366*f**2*j**2 + f**2*j + 3*f**2 + j**2 + 55*j wrt j.\nAnswer: -732*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnxfxnxnnxxnxfnxxn.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/11 - (-98)\/539. What is the remainder when (4\/g)\/(36\/1818) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 4:52 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6498*t = 6502*t - 3*q - 27, t + q = -2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -47 - -11b?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 124020 - -4033121?\nAnswer: 4212141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17*n**2 + 70*n - 67*n**2 + 2*n**3 + 29*n**2 wrt n?\nAnswer: 12*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 2.12?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 702 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 - 19)\/((-1)\/2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 6:14 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207 = 4*t - 152*q - 201 - 0, -6*t - 59 = -7*t - 5*q for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 3*o + o)*(-3*o**4 + 6*o**4 - 2*o**4 + (0 + 2 + 5)*(4*o**2 - o**4 - 4*o**2)).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -4*s - 22. Let j(c) = -5*c - 23. What is 3*j(b) - 4*w(b)?\nAnswer: b + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12030 - 1131012?\nAnswer: -1112322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*i + 66*i = 44 + 271 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 970185.67 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 26 = -27. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u**2 - 3*u**2 - 4*u**2)*(0*u - 4*u + 5*u)*(-u + 3531 + 4602 - 9997).\nAnswer: 2*u**4 + 3728*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/20*((-10)\/(-4))\/(-5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -11*t**3 - 2*t**2 - 7*t - 5. Let n be g(-2). Suppose -11*r + n = 1. Calculate the highest common divisor of 32 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.8 - 5.8. Which is the closest to m?  (a) 3  (b) 5\/2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82113055?\nAnswer: 5, 3187, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 13*z**2 + z + 16. Let d be u(-13). Let f(v) = -6 + 8 + d*v**2 - 2. Let h be f(2). What is the highest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-8))**(-2\/59)\/(c*c\/((c**(1\/45)\/c)\/c)*c*c*c**(1\/20)) assuming c is positive.\nAnswer: c**(-12227\/2124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**17*k**(2\/27))\/(k**(-6\/17)*k*k*k\/(k*k\/(((k\/k**(-2\/13))\/k)\/k))))**(2\/9) assuming k is positive.\nAnswer: k**(206138\/53703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5e7183 - 1?\nAnswer: -5e7184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**3 - 14*d**2 - 31*d - 225. Does 15 divide a(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7740 + -116084\/15. Let j(l) be the second derivative of 8\/5*l**2 + 0 + 1\/25*l**5 + 18*l + z*l**3 + 1\/3*l**4. Factor j(s).\nAnswer: 4*(s + 1)*(s + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2*c = -547, -28*c + 748 = -4*d - 26*c. Let l = d + 190. Factor 1\/2*n**l + 1\/2*n**3 - n + 0 - 3\/2*n**2 + 3\/2*n**4.\nAnswer: n*(n - 1)*(n + 1)**2*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1396 - 720. Suppose 11*f + 2*f = g. Suppose 0 = 4*u + x + 3*x - 84, -45 = -2*u - 3*x. What is the remainder when f is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116\/12 - (-4)\/(-6) is divided by (-1)\/((-28)\/(-10) + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/140)\/((-9)\/90).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 12:18 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 16 = -5*d, 9*c = -d + 4*c - 12. Is 4049\/(0\/d - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-4))\/(188\/(-1504))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, 13 in increasing order.\nAnswer: 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 514763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*n + 3*n + 21876*i = 21871*i - 30, 0 = -4*n + 2*i + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 449.366mm?\nAnswer: 0.000449366","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is the value of (-2)\/3*(-2)\/8*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.014459 to 4 decimal places.\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 15, g: 3}. Give prob of sequence gc.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, r: 3, y: 5, s: 1}. Give prob of picking 1 s and 1 r.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -o - 7, 3*z - 3*o + o - 9 = 0. Suppose k + 165 = z*h, -3*h = 2*h + 4*k - 140. What is the greatest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -637*d + 202*d + 231*d - 49*d - 4807 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {j: 1, s: 2, p: 2, l: 1, w: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 206147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = o + 4*o. Suppose 5*u + u + o = 0. Suppose 0 = 4*s - g + 3*g + 6, 0 = -5*s - g. Put -4, u, s in descending order.\nAnswer: s, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - ((21 - 19) + -18) - (45 - (-2 + 0)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-3 - (-3 - -2) - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33319, 66573, 99791, 132979, 166143, 199289, 232423?\nAnswer: 265551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6769.\nAnswer: 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s - 2 - 5*s**2 + s**3 + 1 + 4. Let g be m(5). What is the second derivative of 25*v**3 - g*v - 58*v**3 + 23*v**3 + 23*v**3 wrt v?\nAnswer: 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(-6*sqrt(12)\/sqrt(6) + sqrt(2)) + -4*sqrt(21)\/sqrt(3) + -3.\nAnswer: -21*sqrt(7)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24362*j + 24367*j + 17 = -d, -4*d = -5*j + 18 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 105090709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2096\/81?  (a) 2  (b) -2  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 110 and 8091688.\nAnswer: 40458440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + -9 + 12 + 2 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 + -1 - (-268 + 237).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 383967 and 3267.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 549836775 a multiple of 9705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ixiiziszzxxsi. Give prob of picking 1 z and 1 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44730, 89444, 134160, 178878?\nAnswer: 223598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 34*g**2. Let v(h) be the second derivative of h**4\/8 + 26*h**2 + 46*h. Let a(u) be the first derivative of v(u). Give a(x(n)).\nAnswer: 102*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15550 divided by 25.\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4896 is divided by 196.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*b - 3*b + b)*(-b + 1 - 1) + (0*b - 4*b - 5*b)*(0*b + 0*b - 2*b))*(-2*b**2 + 0*b**2 + 0*b**2).\nAnswer: -34*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*l**4 - 4597*l**3 - 17350*l**2 wrt l?\nAnswer: -96*l - 27582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 11 - (-2 + -2 + -1 + 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3567522107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7667099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 2:10 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2333 - 2305. Are z and -21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of y**4 - 85*y**2 + 78 wrt y?\nAnswer: 4*y**3 - 170*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of 4*l**5\/15 - 2*l**3\/3 - 12*l**2. What is the first derivative of p(i) wrt i?\nAnswer: 32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l**2 + 33*l + 3. Let z be h(-11). Solve z = -j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 44522*s**2 + 53691 wrt s?\nAnswer: 89044*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25876\/5 + -5175. Sort 2\/7, -5, 4, 0, b in ascending order.\nAnswer: -5, 0, b, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 177119\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1386 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 26*r**2 + 3. Let g(x) = -52*x**2 - 6. Let b(u) = -4*g(u) - 9*q(u). What is the derivative of b(p) wrt p?\nAnswer: -52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6091?\nAnswer: 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 2*m + d - 15 = 0, -m - 9*d - 6 = -3 - 2 + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*q + 11180 = -59*q - 85*q + 45*q for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 34666661 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**3 - 60*f**2 + 69*f + 6809. Does 37 divide p(-68)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -156 - -161. Solve 6 = w*i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 6:36 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 5 + 4. Let s(h) = -h**3 - 2*h**2 + 1. Let t be s(-1). Solve 5*u - 15 = -t*p + 5*p, 4*p = u - c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - 3*p - 2. Let o(v) = -2*v + 12. Let c be o(7). Let a be (-4 - -4) + (c - 1). What are the prime factors of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 453273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1212 (base 7) to base 4\nAnswer: 13002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 103 - 87. Suppose 11*c - k*c = -3210. Suppose 22*o - c = 16*o. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 156 and 13317756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h + 56563. Let c(s) = -14*s**2 + 13*s + 1. Calculate u(c(n)).\nAnswer: -14*n**2 + 13*n + 56564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.273478 to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/1)\/(57\/19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 2*x**4\/5 + 112*x**3\/15 + 22*x**2\/5 - 112*x\/15 - 24\/5 = 0.\nAnswer: -18, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 75870.87g?\nAnswer: 0.07587087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.9151299 and -0.3.\nAnswer: -3.2151299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -i**3\/4 - 102100*i**2 - 9800999*i\/4 + 2552350 = 0.\nAnswer: -408376, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 2*c + 3*t - 1434, 0 = 5*c - t - 3577. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -16*h - h**2 + 30*h - 8*h + 2*h**2. Give v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-80)\/30*9\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5.2804854 and 49.3829.\nAnswer: 54.6633854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -95 (base 15) to base 5\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -679.365 and 45.\nAnswer: -634.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ybbbqayabybayybb. Give prob of sequence ayq.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2990344 rounded to 3 decimal places?\nAnswer: -0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.01 - 3.99. Let s = -169 + -36. Let b = -200 - s. What is the fourth smallest value in b, -2, 3, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q**2 - 38*q - 164. Let z be o(-12). Solve 22*h = z*h - 108 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**4 - i**5 - i**4 + 8*i**5 - 3*i**5 - 3*i**5 + 0*i**5 + 4*i**5 - 2*i**5 + (2 - 2*i**4 - 2)*(-3*i - i + i).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -4, -5, -28, -7 in descending order.\nAnswer: 3, 1, -4, -5, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (122 - (-39 - -56)) + -57.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/132 and 45\/58504.\nAnswer: 1930632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.37 in 341, -4\/13, -0.5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/(-6) + 2\/4. Suppose -2*p - z*p + 40 = 0. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108869 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: Suppose 2*a - 218 = -4*y, -5*a - y + 507 + 74 = 0. What is the lowest common multiple of 27 and a?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 - f**2 + 1. Let l(w) = -4*w**3 - 2*w**2 + 2. Suppose 5*m = 13 - 18. Give m*l(v) + 2*b(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 236\/(-28) + (109 - 103) - (-8)\/(40\/(-15))?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 AM and 10:24 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 594, 3, -5, -26\/33?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37233.\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from ggrgf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + -4. Let t = -180284.00215 + 180280. Let z = f - t. What is z rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1629 divided by -2.\nAnswer: -1629\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 5:26 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 8) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4.536*-48989\nAnswer: -222214.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -548\/3 - -181. Let g be 8\/30*(-15)\/(-30). What is the biggest value in y, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.24 + -0.24. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 32 = -6*i + 2*i, 5*i - 20 = -5*l. Suppose 2*y = -d + 380, -d + i*d = -10. Suppose -5*x + y = 21. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/277274 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 859, 406, -49, -506, -965, -1426?\n\"Answer: -k**2 - 450*k + 1310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 1\/7  (c) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 49550500 rounded to the nearest one hundred thousand?\nAnswer: 49600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - 0. Let n be 112\/(-20) + -1 + 6. Is z at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66741*i**3 - 177594*i**3 - 137199*i**3.\nAnswer: -381534*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d - 5*q - 105, 2*q - 4329 + 4433 = 12*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 190.66 and 9.\nAnswer: 1715.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4147 + -4143. Let r = 6 + -3. What is the nearest to r in x, -3, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 30\/(-12))\/((-181)\/4706)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3*3\/9 + 8. Suppose v*z + 18 = 13*z. Solve q + z*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 176\/11*(-1)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6105817 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5\/17, 29, -11, 5, 0.01, 2?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -284\/33 + 58\/11. Let j = t + 136\/39. Put 4, j, 0.1 in ascending order.\nAnswer: 0.1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 5*i - 30, 0 = 3*n - 63*i + 70*i + 28. Suppose 20 = -3*r - 2*r, 5*k - 2*r - 8 = 0. Put n, -5, 1, k in descending order.\nAnswer: 1, k, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 2:44 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -4*g**2 - 30*g - 17. Determine f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 3. Suppose 4*l - 2*t - 76 = 0, t + b = -0. Let f = 27 - l. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*z + 6*z - 2*z)*(2 + 466*z - 1 - 381*z)*(5 - 2 - 2) to x*z + g*z**2 + l and give g.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 1426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -3\/4, 3, -26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 2*p - 2*p + (-4*p + 4*p - 2*p)*(2 + 2 - 2) + 4*p + 9*p - 8*p)*(4 - 4 - 1).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2430 = 1675*m - 1765*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3)*(3*b - 10*b - b)*(-41*b + 4*b - b - 3).\nAnswer: -608*b**2 - 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(1280))\/(sqrt(490) + 1*sqrt(490)) + -2)**2.\nAnswer: 32*sqrt(2)\/7 + 324\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 387 and 12255.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 59 - 59. Which is the closest to o?  (a) 0.5  (b) 1\/4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.43 + -0.07. Let j = -0.8 - d. What is the nearest to 0 in j, -1, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**38*x**(-18)\/x*(x**(-5\/2))**(7\/6) assuming x is positive.\nAnswer: x**(193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 22 - 27. Suppose 0 = r*d + 4*y - 1490, -2*d + 385 = -2*y - 193. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 7*f**2 + f. Let u(x) = -30*x**2 - 110*x - 104. Let j(d) = -u(d) - 4*y(d). Factor j(z).\nAnswer: 2*(z + 1)*(z + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 28 + -12. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -284 + 424. What is the remainder when v is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 61*d**2 + 59*d + 111. Calculate l(60).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 459253665?\nAnswer: 3, 5, 13, 151, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -674 + 5?\nAnswer: -66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (3\/(-3))\/((-34)\/785570) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 11:20 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 9 + (7 + 3 - (-318)\/(-32))*-111?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 791284119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 347 = 1971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 11:18 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 3176.7338 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from hssmmmmamhhsmm.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of q**4\/4 - 4*q**3\/3 + 2*q**2 + 2*q - 2. What is the remainder when p(5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*-7*(-4)\/7. Suppose -d + 1 = -1. Let z be 3 + d + -4 + 0. Solve 0 = i - z + a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1907622809 to the power of 1\/2, to the nearest integer?\nAnswer: 43676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3966.\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/3 - ((-92)\/28 - 1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 - 14 = -2*u - 3*j, 4*u - 4*j - 72 = 0. Let r = 26 - 12. Calculate the smallest common multiple of r and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -75001\/4009 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1322 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3*-6.9\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2 and -24909292.05257.\nAnswer: -24909290.05257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m**2 - 8*m + 5. Let u(b) = -b + 26. Let f be u(18). Suppose 0 = f*x - 5*x - 15. Is 6 a factor of h(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1005, 3479, 7785, 14073, 22493, 33195?\nAnswer: 46329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 669476821 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 - -90. Let q = -1 + 0. Which is the nearest to q?  (a) -5  (b) g  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, 4, 2 in descending order.\nAnswer: 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (89100\/3600)\/(6\/(-8))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -990 + 991. Let t(k) be the first derivative of 0*k**2 + 0*k - 1\/18*k**4 - j - 2\/27*k**3. Suppose t(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 3.02. Let a(n) = -34*n + 31. Let r be a(1). What is the nearest to z in 1, 2, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111100001010000 - -11?\nAnswer: 1111100001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 54 = 46. Suppose -3*j = a - p*a + 10, 4 = -2*a. Is -4*5\/j*321\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39494 is divided by 6321.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*n + x = -71*n - 30, -56 = -4*n - 4*x for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-1))\/(-2)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 334 = -74. Let w = 19 - 9. Let z(j) = j. Let p be z(w). What is the greatest common divisor of p and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 4) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 435?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3043 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4\/6*(-1)\/(-2) + 14\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmkhhhmhkmk. Give prob of picking 2 m and 1 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -15405033 (base 6) in base 8?\nAnswer: -2051215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of u**4\/4 + 10*u**3\/3 - 13*u**2\/2 + 2*u + 9. Does 12 divide j(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266*p = -1436*p + 266*p - 104828 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*w + 5 - 3 - 2.\nAnswer: 34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 16*l - 22*l. Let o(k) = 13*k**2 - 15*k + 1. Is o(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84064?\nAnswer: 2, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-56)\/(-42))\/((-8)\/(-18)). Suppose 0 = -3*i - 2*i + 5*t + 2220, -3*t + 1314 = l*i. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -5*s**3 + 309*s**2 - 20. Let v(w) = -9*w**3 + 619*w**2 - 37. Give 11*h(c) - 6*v(c).\nAnswer: -c**3 - 315*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 6480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -545*a - 2885*a - 1843*a to the form v*a + z and give v.\nAnswer: -5273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 84006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -19*b. Let l(y) = 1150*y**2 + 12*y - 1. Calculate h(l(r)).\nAnswer: -21850*r**2 - 228*r + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + -6 + (-2)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - r + 37 = -2*r, -4 = -2*r. Suppose 0 = -2*x + 3*x - j. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -7 - (-6)\/9*3. Let q be ((-1)\/3)\/(c\/45). Suppose -2*g = q*n - 9, -g - 2*n + 11 = 2*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 632784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2149*l**4 + 1095*l wrt l?\nAnswer: 25788*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-1\/3)*t\/((t*t**(-3))\/t))\/(t**(2\/15)*t*t**(-1)) assuming t is positive.\nAnswer: t**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-4))\/t**(-1\/2))\/(t**(-6\/5)\/t**(-2\/25)))**(-24) assuming t is positive.\nAnswer: t**(828\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaajjjaajjaaajaqaja. What is prob of sequence ja?\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 11*r**2 + 9 - 2*r - 38 + 11 + 0*r + 12. Determine q(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 101054131, 101054127, 101054121, 101054113?\nAnswer: 101054103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -1, -0.04, 0.34, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 3) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/4, -6\/5, -191, 1844, -3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + -8cbe8?\nAnswer: -8cbeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*f**2 + 6612 + 0*f**2 - 2*f**2 - 5872 in the form i + w*f + l*f**2 and give i.\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of w**5\/120 - w**4\/24 - 5*w**3\/3 - 3. Let q(z) be the third derivative of v(z). Let r(a) = a. What is -q(u) + 2*r(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3509 divided by -319.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/10 and -1\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7.07?  (a) -0.1  (b) 0.2  (c) -13  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 4:28 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + b**2 + b + 4. Suppose -7 + 2 = -u. Suppose 0 = -u*g + 2*g. Determine m(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*i + 14*f - 13*f, -2 = i - f. Let c(g) = -11*g + 2. Let l(x) be the third derivative of -11*x**4\/12 + 5*x**3\/6 + x**2 + x. Give i*l(u) + 5*c(u).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 671249 or 671248?\nAnswer: 671249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 1 - (6 + -4) - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 4:55 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 132218347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 - 21*z**2 - 70*z - 1. Let g be q(-17). Put g, 4, -4, 3 in descending order.\nAnswer: g, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (-1 + (-1 - -16))) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 5 + o)*(-4*o + 0 + 0) - 3*o**2 - o**2 + 3*o**2 + 3 - 2*o**2 - 3 in the form v*o**2 + g*o + d and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/30 + 266474\/8310\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 510*y**4 - 155567 + 158441 + 1405*y**4 wrt y.\nAnswer: 7660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 54*n - 71*n - 136 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 4  (b) 15984  (c) 9  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/3879 and -56\/3879.\nAnswer: 3879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 3*t - 24, -2*t + 0 = -n - 4. What is the second derivative of -3*s + 3*s**4 - 1 + 1 + s**t wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.92 times 0.3?\nAnswer: 5.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3298484 is divided by 369.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -8737 divided by -445\nAnswer: 8737\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -3, -209, 32, -2 in decreasing order.\nAnswer: 32, -2, -3, -13, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29.93 + 30. What is the second smallest value in 0.5, r, -1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1617, -2830, -3795, -4512, -4981?\nAnswer: -5202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -1303?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10525 + -5928. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -57 - -397\/7. Which is bigger: -4\/11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3473 (base 10) to base 16.\nAnswer: -d91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**3 + 419*c**2 + 185*c - 1738. What is y(-209)?\nAnswer: 3278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -2*o - 1, 5*n - 295 = 5*o. Suppose -4*a = -a - n. Solve 2*w - 10 = -y, -4*w + a = w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {t: 3, b: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**5 + 297750*x**4 + 11084711024*x**3 + 210521086680*x**2 + 709077342272*x + 664743262080 = 0. Calculate x.\nAnswer: -74428, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -729, -2913, -6553, -11649?\nAnswer: -18201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + 5*q**2 - 2*q - 9. Let m be t(-5). Solve -3 = 2*p + m, 2*w + 5*p + 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 330 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 48 = -5*r - 17, 0 = -3*s - 5*r - 145. Let i be (-88)\/(-22) + s\/9. Let b be (-2)\/(2\/(-3)) - 2. Sort i, b, 4 in descending order.\nAnswer: 4, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(2\/3)\/f*f)\/f**(-2\/33))\/((f\/f**(-6))\/f**(-1\/5)) assuming f is positive.\nAnswer: f**(-301\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 2 = -s. Let b = -297 - -296.7. Put b, s, -2\/7 in decreasing order.\nAnswer: s, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 3*f**2 + 18*f - 83. Determine k(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1871014125 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*a - 53 = 0, -139*i - 2*a - 183 = -142*i. What is the remainder when 143 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that b**5\/3 + 157*b**4\/3 + 7771*b**3\/3 + 96415*b**2\/3 - 1185800*b\/3 + 2662000\/3 = 0.\nAnswer: -55, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 6*y**2 - y + 5. Let h be v(6). Let o = 121\/8 + -15. Is o at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 67 = 184. Let s = 364 + w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -285, -577, -867, -1155, -1441?\n\"Answer: n**2 - 295*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 5*i + 205 = 0, -3*i = 2*c - 0*i + 72. Let o = c - -94. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -114*((-4)\/(-26) - (-72)\/208). Let l = -29 - r. Calculate the highest common factor of l and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -249\/167 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -5*l**2. Let g(d) = 118*d + 120*d - 246*d. Calculate g(a(h)).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r\/r**34*(r\/(r**(-30)*r))\/r assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = -3*p - 57. Suppose 3*q = p - 1. Let n = 12 - q. What is the highest common divisor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -442021 (base 5) to base 12\nAnswer: -89b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/632775 and -85\/23482.\nAnswer: 251844450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**4\/13 - 1162*v**3\/13 - 15974*v**2\/13 - 55566*v\/13 = 0. Calculate v.\nAnswer: -567, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 2*g = 17, 0 = -2*g - g + 12. Is 582\/(-4)*(-66)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89250 divided by -3.\nAnswer: 29750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*m = -3 + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - y + 577. Let p(s) = -s**3 - 3*s**2 + 7*s + 12. Let b be p(-4). Is w(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 11*s - 23. Determine f(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/51))**(30\/13)*(u\/(u*u**(-16)))\/u*u*u\/(u\/(u\/(u**40\/u*u))*u*u) assuming u is positive.\nAnswer: u**(-5545\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 3 - 4955*j**2 + 4939*j**2 + 2.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5876 + 43395. Let k = 1478303\/30 - o. What is the common denominator of k and -101\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 2*u - 88, -u + 22 + 39 = 3*l. Suppose 5*w - 1 = 14. What is the greatest common divisor of w and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 856413, 1.6, -5\/3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 17 - 51.7526\nAnswer: -34.7526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*n*o**6 - n*o**4 - 2*n - 48*o**3 - 678*o**2 + 2 wrt o.\nAnswer: -240*n*o**3 - 24*n*o - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6067476 + 1?\nAnswer: 6067477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 106*c*j**3 + 2798*c + 2*j**5 - 59*j**4 - j wrt j.\nAnswer: 636*c*j + 40*j**3 - 708*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46314574.3 rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -4  (b) 4  (c) 1303297  (d) -19\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 51423 and 4111873?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2368046, 4736094, 7104142?\nAnswer: 9472190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 122035050 and 97628040?\nAnswer: 488140200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9380030 divided by 1876006.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 232 * 221\nAnswer: 51272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 865392 and 96.\nAnswer: 1730784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26922382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-25)\/(-10)*(-16)\/(-20). Let u(r) = 70*r - 1. What are the prime factors of u(x)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 22 = -112. Let z(k) = -8*k + 365. Let b be z(r). Solve 0 = -4*c + 3 + 1, b*c = -3*s + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -5.3. Let o = -5.65 + 3.65. Let i = 28\/121 - 75\/847. What is the third biggest value in i, o, m, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1240 and 60265240.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 205525908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121513 + 121838 = 13*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*g + g - 3*g)*(1 + 2 - 1) + 20*g - 237 + 237 - 17*g + 56 + 99*g - 57 to m*g + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let l = 19785155605 + -413608678004052\/20905. Let u = 1009895465\/8362 - 120772. Let v = u - l. Calculate the common denominator of -73\/2 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -72*j**3 - 378*j + 72*j**3 + j**5 + (3*j**3 - j**3 + j**3)*(-2*j**2 + 0*j**2 + 3*j**2).\nAnswer: 4*j**5 - 378*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 1256*n**3 - 3*n**2 - 18*n. Let t(x) = 837*x**3 - 2*x**2 - 13*x. Give -5*g(q) + 7*t(q).\nAnswer: -421*q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6*7\/(-56))\/(2\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41 + 18 - 20)*(1 + 0 + 0)*(-4 + 3 + 10)*((3 - 3 - 2*p)*(-2 + 2 - p**2) + 2*p + p**3 - 2*p).\nAnswer: 1053*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1822*s**3 + 1181*s**3 + 718*s**3.\nAnswer: 77*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(1*sqrt(68) + sqrt(68) + sqrt(68)) - sqrt(68))\/(-5*sqrt(16)))**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6417760.164 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44582*i**2 - 41591*i**2 - 42919*i**2 - 19143*i**2.\nAnswer: -148235*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*o = -23*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 5*u - 10, 5*n = 2*n. Let c(i) = u*i - 3*i - 3 - i. What is the lowest common multiple of c(-6) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 136535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3*s**2 + 57*s + 36. Let d be n(-30). Suppose -d - 634 = -5*a. What are the prime factors of a?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -944104 + 0?\nAnswer: -944104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -25.2337 rounded to 1 dp?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3276*u**6*y + 16*u**4*y**2 - 5*u**2*y**2 - 190*u**2*y - 9*u wrt u?\nAnswer: 393120*u**3*y + 384*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.4 - -5. Let s = -0.061 - 0.139. What is the fourth smallest value in -0.5, s, y, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -57*n**3 - 2569*n**2 - 209*n - 1291. Give v(-45).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2567174?\nAnswer: 2, 41, 31307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 41552 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: Which is the closest to 1?  (a) -0.23  (b) 22  (c) 0.2  (d) -0.143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4b1 (base 12) to base 4\nAnswer: 23011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j - 1882 = 158. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140 - 4806574364?\nAnswer: -4806574504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/18 + 1 + 8\/3. Suppose 2 = 2*o, -15 + 3 = -z*y - 4*o. Solve 5*x + 22 = 2*r + x, 3*r + x = -y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**4*d*d)\/((d*d**5*d)\/d)*((d\/(d\/(((d\/d**(-1))\/d*d)\/d)))\/d)**(1\/26))\/((d**(-2\/5))**32*d\/d**(-5)*d**(5\/3)) assuming d is positive.\nAnswer: d**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -14*f**5 - 1030*f**4 - 15348*f**3 + 132208*f**2 - 232960*f + 76800 = 0.\nAnswer: -40, 3\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1\/5*1*(-55)\/(-11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 7184280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1293*c**2 + 1273*c**2 - 3196*c**2)*(6 - c - 3 - 4).\nAnswer: 630*c**3 + 630*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11 + -3 + 2550\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, 11, -4, 1.\nAnswer: -37, -4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 8:00 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*r + 2. Suppose 3*u - 2 = r*u. What is the remainder when 46 is divided by -40*u*(-4)\/(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1367?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 166517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 38, 47, 56?\n\"Answer: 9*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/10)\/(10\/(80\/(-8)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42 - -45. Solve 0 = -s*o + 3*q + 2*q - 10, -5*o = q + 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/15 + (-15)\/75?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -4678*f + 13996. What is d(3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 84 + -57. Let n be 12\/20 + 2\/5. Let l be -1 + n*-2 + 6. What is the greatest common factor of l and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -0.3, 1\/5, -2\/13, -1.67?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13121 - 1405?\nAnswer: -14526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 10*b - 2*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - f**2 + 2 + 3*f**2)*(-21*f**2 + 3*f - 3*f).\nAnswer: -42*f**4 + 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x + 2. Let j(r) = 0 - 6*r - 5 + 3*r + 2. Give 5*h(g) + 4*j(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_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: Express 12*s**2 + 4 + 2*s**2 - 4 as q + y*s + j*s**2 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 9:04 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69801115.\nAnswer: 5, 29, 481387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -4*k - q - 3*q, 4 = -4*k + 2*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 - -49. Let m(c) be the first derivative of 0*c**4 + 15 + 0*c - 21\/5*c**5 - 13\/3*c**3 + 0*c**b. What is the third derivative of m(i) wrt i?\nAnswer: -504*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -308351808 by -3211998.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 3:17 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2712)\/(-113)*46\/(-16)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18613333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of -a**3 - 39*a - 129532. Let p(j) be the second derivative of -j**4\/6 - j. Give p(l(c)).\nAnswer: -18*c**4 - 468*c**2 - 3042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21780229 is divided by 6010.\nAnswer: 5999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)\/(sqrt(54) + sqrt(6)) - sqrt(288)*-2) + (sqrt(50)\/sqrt(5))\/sqrt(5) + (1 + sqrt(242))**2.\nAnswer: 189*sqrt(2)\/4 + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0838 - 0.1. Round r to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525046526 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2464457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 38 - -88?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 7*i**2 + i + 3. Let c be z(-2). Let p = c - 29. Solve 0 = -p*w + 3*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 231, 222, 215, 210, 207, 206?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -927 divided by -16?\nAnswer: 927\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*y + 9*y + 5*y + 3*y in the form m + h*y and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b + 8. Suppose l - 15 = 2*n, 4*l - 6*l = -2*n - 18. What is the remainder when 26 is divided by w(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3033660 and 159278?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1261244.\nAnswer: 2, 71, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18839*n + 18805*n + 810 - 96 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 313?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*g*n**3 + 69*g + 2*n**3 - 13*n**2 wrt g.\nAnswer: -2*n**3 + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 - 4*p**2 + p - 4. Let u(r) = -r**2 - 6*r + 4. Let q be 14\/(-2) - (-2)\/(-2). Let c = q + 2. Let y be u(c). What is i(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3895115140 and 4.\nAnswer: -3895115136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 4:14 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -20 or -941\/48?\nAnswer: -941\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -2*b + 15. Suppose 51 = -b*r + 132. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*p = -11 - 69, -4*p = -4. Suppose -r = -2*x - 2*x. Let k(w) = -5*w - 17. Let n be k(-11). Calculate the highest common factor of x and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 246 and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2\/13, -3, 1, -5 in increasing order.\nAnswer: -5, -3, 2\/13, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 5*x**2 + 3*x - 21. Let t(z) = -2*z**2 - z + 7. Determine -6*g(y) - 17*t(y).\nAnswer: 4*y**2 - y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3640306819*n - 9*n**2 - 3640306819*n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4.46 + 52\nAnswer: 56.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*v - 2*v - 2 + 4*v)*(-3*v**2 - 47*v + 1 + 47*v) to o*v**3 + x*v + j*v**2 + z and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -91053377*y**4 + 398819916 wrt y?\nAnswer: -364213508*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -6. Let o(v) = v**2 + 2*v - 3. Let h be o(2). Let d be (16\/(-70))\/((-2)\/h). Which is the second biggest value?  (a) j  (b) d  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*n - 4806 - 8603 = 0. What are the prime factors of n?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 - 5*z**2 - 2*z - 2. Suppose 0 = 4*f - f - 18. What is the tens digit of k(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -46. Let n = x + 55. Solve 0*z = -2*z - n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/1*25\/15. Let b = -1 + -4. What is the biggest value in b, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -19 + 9. Let f(m) = -1 - 3 - 2*m**2 + 2. Let z(y) = y - 1. What is d*z(a) - f(a)?\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 1  (c) 512\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31994, 20523, 9078, -2329, -13686, -24981, -36202, -47337?\nAnswer: -58374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 4:44 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, -26.6119, 4 in increasing order.\nAnswer: -26.6119, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 1, -3, -1, -6, 9, -2 in descending order.\nAnswer: 9, 1, -1, -2, -3, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 165 + -83. Suppose 10*x = 788 + w. What are the prime factors of x?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 271\/(73170\/(-10152))*10\/(-8)*-2?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8\/(-3))\/((-10)\/15). Suppose -l*o + 9*o = 20, 0 = -4*f - 2*o + 52. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -458*o + 69*o - 2 + 389*o - 58*o**2.\nAnswer: -58*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) - -4*(((2 + sqrt(475))**2 - sqrt(475)) + sqrt(475))) + 1*sqrt(684)*5 + -1.\nAnswer: 115*sqrt(19) + 1915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 255, -2\/9, -0.2, 2\/21, 3, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {u: 8, l: 2, m: 2, h: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - 7*l + 11. Let o be v(-8). Suppose 13 = o*k - 2*k. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -6*b - 3. Suppose 12 - 4 = -4*y. Let g be j(y). Let u = 79 + -16. Calculate the highest common factor of u and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5025*a - 501*a - 1911*a + 1490*a - 5668*a to the form b + l*a and give l.\nAnswer: -11615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 77449791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + 262\/(-112) + (-22)\/77. Which is the third biggest value?  (a) 0.2  (b) 1\/4  (c) y  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -21  (b) -9  (c) 0.3  (d) -242.4  (e) 3  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 657658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of -975*p**2\/2 - 866*p - 957. Find the first derivative of q(l) wrt l.\nAnswer: -975","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2 - 1)*(-3*y + 5 - 5) + (-2 - 2 - 2)*(-4 + 2*y + 4) in the form d + s*y and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.016297 * 1474\nAnswer: 24.021778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = -x - 15, 4*x + 4 = -3*i + i - 42 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1466 and 122.\nAnswer: 89426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 547 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -5 + 3 + 31 + 2*x**2 + 18 - 3*x**2 + 19*x. Let z be p(21). What is the greatest common factor of z and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -140 + 139.8. What is the third smallest value in 0.2, 0.1, 3, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8972)\/(-8)*(-11098)\/(-35284). Let n = b - -6\/8821. Let r = -347 + n. What is the common denominator of r and -69\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14\/3 = 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -13*i**3 - 3*i**2 + 4*i + 5. Let a(t) = -53*t**3 - 13*t**2 + 16*t + 21. Let s(j) = -2*a(j) + 9*p(j). Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 687.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.006, 0.1, 1\/4, 5 in descending order.\nAnswer: 5, 1\/4, 0.1, -0.006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 8146056?\nAnswer: 8146059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -13*(56\/(-7))\/(12*16\/(-96))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 32*k**2 - 261*k - 24. Is f(15) 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 {p: 6, a: 5, g: 1, f: 1, u: 1}. What is prob of sequence ppap?\nAnswer: 25\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b + 4*o + 26, -b - 3*o - 11 - 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3647403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 8:50 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + j - 12 = 0, 4*r + j - 3 = 6*j. Suppose r + 14 = 7*h. Let x be 192\/3 + 3 + h. Calculate the greatest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61*h**2 + 10*h**2 + 1 + 4*h**2.\nAnswer: 75*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 9:38 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/2*-38)\/(-1). Suppose 18 - h = -g. Find the common denominator of (4 + g)*51\/(-10) and 87\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3*z - 4*z + z - 13 + 3*z. Let o(w) = 4*w + 20. Let l(s) = 7*m(s) + 5*o(s). Calculate the least common multiple of l(4) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 3*g - 27 = 0, 8 = -2*g - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**2. Let a(d) be the first derivative of 4\/3*d**3 - 1 + 0*d**2 + 0*d. Determine n(a(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 52088 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: Suppose -120 = 3*z - 450. Let x = 13 - 12. Suppose 9 = j - x. What is the greatest common factor of j and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.25 - -25.25. Which is the closest to 6?  (a) -3  (b) -3\/2  (c) 2\/3  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.83 in -354, -5, -2\/5, 0.1, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppcccppcpccccpppcp. Give prob of sequence ccc.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4394*y**4 + y**3 - 307*y**2 + 562040*y - 21 wrt y.\nAnswer: 52728*y**2 + 6*y - 614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 933728?\nAnswer: 933728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from ugggugguguuuu.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*m = 4*m - 504. Calculate the common denominator of 74\/(-24) + 0 - 9\/m and 61\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 46.9263 + -1.9263. Put -2, 1\/5, 0, t in ascending order.\nAnswer: -2, 0, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3*z**4 - z**3 + z**2 - 4*z. Let o(d) = -d**2 + d**3 + 2*d - 2*d. Let w(q) = a(q) + o(q). What is the second derivative of w(u) wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2886436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 22\/(1\/(-3*((-78)\/(-36) + -2)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 5*w**2 + 6*w + 24. Let b(a) = 2*a**2 + 6*a. Let j(m) = 3*b(m) - h(m). Give j(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 + 6*o**2 - 5*o + 17. Let f be g(-7). Let y be -8804 + 1 + f + 0. Round y to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.0513406 months to millennia.\nAnswer: 0.00017094505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 360220313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1340137080 to the nearest 100000.\nAnswer: 1340100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, a: 1, v: 4, k: 3, n: 1}. Give prob of sequence ap.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*p**5 - 1466*p + 49088*p**3 - 15*p**2 - p**4 - 49088*p**3 wrt p?\nAnswer: -140*p**3 - 12*p**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2862491*t - 995195.\nAnswer: -2862491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -377 divided by -29.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1.95*-0.105\nAnswer: -0.20475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 232*r**2 + 4*r. Let o(q) = 2*q. What is b(o(i))?\nAnswer: 928*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5216120 and 3360?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**3 - 35*c**2 + 2*c - 12. Determine t(-18).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 5*r + 6. Let y(m) = -5*m - 7. Calculate 4*b(p) + 3*y(p).\nAnswer: 5*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*u = -67*u + 2*x + 36, 37*x = 5*u - 183 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of -7*q**2 + 33*q - 97. What is the first derivative of l(p) wrt p?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.296816 months to decades.\nAnswer: 0.0608068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 - -3 - (8 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**3 - 15860*b**2 + 63335*b + 79200.\nAnswer: 5*(b - 3168)*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2*z + 6 = 2*z, -4*z = 4*n - 36. Let u be (-3)\/6*-1*n. Suppose 1 - 10 = -u*q. Solve 3*s = -d - 6, -4*s - q*d - 12 = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 2*q - 10. Let b = 0 + -1. What is the remainder when 4 is divided by 3\/(q + 0 + b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -5*h**3 - 595*h**2 + 908. Let i(c) = -11*c**3 - 1190*c**2 + 1817. Let n(j) = -3*i(j) + 7*z(j). Differentiate n(p) with respect to p.\nAnswer: -6*p**2 - 1190*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 3*q**4 + 111000*q**3 - 999171*q**2 + 2664588*q - 2220540 = 0.\nAnswer: -37009, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -2*p**7\/21 - p**3\/2 - 7*p. Find the second derivative of z(g) wrt g.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28353419 is divided by 5670680.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*o - 4807 + 21692 = 0. What are the prime factors of o?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34466 or 34465?\nAnswer: 34465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1049 - -1050. Let p be (4\/6 + -1)*-3. Is v greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -8.7. Let k = 4.9 - -0.1. Let p = 10.3 + -10.3. Which is the second smallest value?  (a) v  (b) k  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1474.9 + -1411. Round q to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 272878057\/(-228)*6 + 3\/2. What is u rounded to the nearest one hundred thousand?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11828 - 11691. Solve c - 25 = -16*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 - -10. Let t be ((-6384)\/448)\/((81\/(-16))\/(-3)). Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 + -15. Let r = -14 + 8. Let l = -6.4 - r. What is the second smallest value in l, -0.1, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8376 and 42.\nAnswer: 58632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 779253985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4077 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 0*l**2 - 2*l**2 - 2*l**2. Let h(b) be the first derivative of -b**2\/2 + 6. What is h(z(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 4*m - 126916, 7*m = 9*m + 3*x - 63458. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, v: 1, b: 2, e: 1}. What is prob of sequence vu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 95 = -0*h. Let l be (h - 16)\/((-2)\/6). Is 24 a factor of (3\/(l\/2))\/(1\/(-180))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2979398724.\nAnswer: 2, 3, 248283227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 211120120 (base 3) in base 8?\nAnswer: 40112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-21))\/(1 - 8\/6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*k**2 - 85 + 85 + k - k**2 - k + 2 - 2 - 2*k**2 + (-1 + k + 1)*(2*k - 2*k - k) - k**2 + 4*k**2 - k**2 - 10*k**2 + k**2 - 4*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 843\/24 + (17\/(-8) - -2). Let u be ((-8)\/(-10))\/(168\/h + -5). Put -3, 5, u in increasing order.\nAnswer: u, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -0.029?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 AM and 12:40 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2*3\/12*-4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + 22*x + 7. What is j(-21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -z - 4*x, -2*x = -5*z - 5*x + 10. Solve 0 = -2*i - z*s + 9, 5*i - s - s = -21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4127 - 4067.77. Let h = -6.3 + 65.3. Let i = h - w. What is i rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*z = 3*w + 66, -5*z + 104 = w. Suppose 0 = 16*f - z*f + 65. Suppose 2*x = f - 3. Solve -x*j + 3*d = 23, 5*d - 15 = 3*j + 2*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42 - 70 - -21 - (23 - (2 + -4)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9*23 - 0\/((-18)\/6). Calculate the greatest common divisor of 46 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 325*x - 1256. What is m(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 9 = -3*h, 2*h = 6*h + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 4922 in descending order.\nAnswer: 4922, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = 62, 7*r + 5*r = 20*r - 9*r + 2*h - 58 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nizznizinil. What is prob of sequence zizz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 129 = 2*y. Let w = y - -50. What are the prime factors of ((-72)\/(-84))\/(1\/w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -53496 or -588468\/11?\nAnswer: -588468\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -3264.5.\nAnswer: -3264.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 38 - 46. Let z be 8\/18*(10 + v). Factor -2\/3*g**2 + z - 4\/9*g**3 + 8\/9*g + 2\/9*g**4.\nAnswer: 2*(g - 2)**2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 128 - 61. Is d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nly when three letters picked without replacement from fylln.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/2 and (1\/((-399)\/201 + 2))\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 - 10*k - 6. Let d be u(11). Let j be 0\/(-2)*(-2 - -3). Suppose d*t - 7 - 3 = j. Solve -t*l = -0*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of -1\/18*v**4 - 1\/45*v**5 + 1\/1008*v**8 + 0*v + 3*v**2 + 0*v**3 + 2\/315*v**7 + 1\/120*v**6 + 0. Factor p(i).\nAnswer: i*(i - 1)*(i + 1)*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 4.9. Suppose -3*w - 4 - 2 = 0. Let a be (2\/4)\/(w\/(-8)). Sort q, a, 0.3 in descending order.\nAnswer: a, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = w - 45, 101*n - 798926 = -2*w - 797813 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 173101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, 18, -6\/11, 0?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 525*x**6 - x**5 + 20*x**4 + 4952*x**2?\nAnswer: 63000*x**3 - 60*x**2 + 480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 2\/3  (b) -1  (c) 0.22  (d) -2.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.36 - -0.2. Let v = 0.1 - r. Let l = v + -2.26. Which is the second biggest value?  (a) 0  (b) 0.5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 152189301*v**3 - v**2 + 346641*v - 106 wrt v?\nAnswer: 913135806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83 (base 10) to base 3.\nAnswer: 10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1047154774.\nAnswer: 2, 59, 521, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1152 + -2246. Let t = 1094.0000629 + j. What is t rounded to six decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9663575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 76336.38116 to the nearest 10.\nAnswer: 76340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o - 2. Suppose 0*a + 4*a - 4*c - 4 = 0, 0 = a + 4*c - 26. What is the smallest common multiple of r(a) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(4\/13))**(-41) assuming j is positive.\nAnswer: j**(-164\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*v + 1990 - 4902. Suppose -101*i - v = -103*i. Is i a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 21860725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3300716 and 2036612?\nAnswer: 95720764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -752 + 770. Suppose -25184 = 2*w - j*w. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -319, 52, 24 in descending order.\nAnswer: 52, 24, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*((48\/4)\/(-4) - -2). Suppose 3*g = -4 - o. What is the hundreds digit of (0 + -1 - 0) + (111 - g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = m. Let z(n) = -5 + 2*n + 8 + m*n. List the prime factors of z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttroxiso. Give prob of sequence so.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -29*j + 1. List the prime factors of r(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*c - 4 = 0. Suppose 0*p = c*p, -p = -z + 60. What is the greatest common factor of z and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -658, -1311, -1964, -2617, -3270, -3923?\nAnswer: -4576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is a77 (base 13) in base 6?\nAnswer: 12140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 4*t - 2. Let o be w(-4). Let m = 87 - o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u + 1. Let h(g) be the first derivative of -g + 1. Suppose i = 21 + 1. Suppose -4*r - 11 = r + 4*t, i = 2*r - 5*t. What is r*h(q) - k(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*k*n*p*w**4 - 4*k*n*p + k*n*w**3 + 2*n*p*w**2 - n*w + 6*p*w**4 - 3*p*w**2 - w wrt w.\nAnswer: -72*k*n*p*w + 6*k*n + 144*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1408230775.\nAnswer: 5, 7, 23, 349871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 94308137 from 0.05.\nAnswer: -94308136.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1210784 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14916164*w**2 - 699873*w - 11 wrt w?\nAnswer: -29832328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38010*c - 165292*c - 81398*c.\nAnswer: -284700*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -135647 - -2?\nAnswer: -135645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2818858637.\nAnswer: 7, 971, 414721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 4*k = -48 + 20, 0 = 2*n - 5*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/3*n**2 - 3*n**3 + 0*n - 5\/3*n**5 - 4*n**4.\nAnswer: -n**2*(n + 1)**2*(5*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/244 and (162\/(-32))\/((-12)\/(-96)*-138).\nAnswer: 5612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-4) + (-11)\/(-10) + 0\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 14, j: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 24915 and -3579?\nAnswer: -89170785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10922.\nAnswer: 2, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41769, 41744, 41693, 41604, 41465, 41264, 40989, 40628?\nAnswer: 40169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00358106907 to 5 decimal places.\nAnswer: 0.00358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/(-9))\/((-4)\/18). Solve -y*w - 10 = 4*j, 0 = j - 2*j - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (-28)\/35 - (-5312358)\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88 = -41*l + 22 + 710 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 8*r - 16 + 41 - 14*r - 2*r**2 - 14*r. Let y be a(-11). Calculate the greatest common divisor of 15 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 898 = 5*h + 2*f, 0 = -3*h + f + 666. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of -d**7\/1365 - d**6\/260 + 2*d**5\/195 + 91*d**2\/2 + 59*d - 3. Let j(a) be the first derivative of i(a). Factor j(c).\nAnswer: -2*c**2*(c - 1)*(c + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 318*u = 380*u + 248 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6809147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 55999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -3*s**3 - 8*s**2 + 4*s + 24. Give a(3).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmsmmmmmmmmm?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = a - 5, -6 = 3*a + a - d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -130\/11, 0.3.\nAnswer: -130\/11, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1115883.\nAnswer: 3, 37, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 139021871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 32845669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gny when three letters picked without replacement from {y: 2, h: 1, g: 5, n: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13361?\nAnswer: 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7889\/(-3773) + -3*-3*10\/45.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-1 - -20) + -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 44535?\nAnswer: 44535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.27 from -117.161.\nAnswer: -117.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (0 + -6 - -6) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6281451 (base 9) to base 15\nAnswer: 4659c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3389?\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183*f + 177*f = 1518. Let w = 256 + f. Solve -3*n - w*a + a + 14 = 0, 8 = 3*n - 4*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -107?  (a) -1\/4  (b) 7  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-5 - (-105)\/20) + 150\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o**2 - 18*o**2 + 7*o**2 + 8*o**2 + 4*o**2 - 4*o = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -189, -114, 0.\nAnswer: -189, -114, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 56 = -2*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-1 + sqrt(80))*5 - sqrt(80))**2 + -1 + 1*sqrt(80).\nAnswer: -156*sqrt(5) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 770*f + 4570 + 6210 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6791 + -6792. Sort -3, 1\/14, u, 1\/7, 2\/7 in descending order.\nAnswer: 2\/7, 1\/7, 1\/14, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -132*r**3 - 3*r**2 - 125*r - 3. Let t(b) = -263*b**3 - 5*b**2 - 249*b - 5. Let f(k) = -5*q(k) + 3*t(k). Find the second derivative of f(y) wrt y.\nAnswer: -774*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 124.415 - 0.415. Let x = w - 123.485. Round x to 2 decimal places.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2*m - 7. What is d(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 16771 and -2.\nAnswer: -33542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of -j**4 + 4*j**3 - 6*j**2 + 4*j - 1. Let x(b) = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1135457 + 1135457 + 47*m.\nAnswer: 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/13 - 1010770*p\/13 - 5053900\/13.\nAnswer: 2*(p - 505390)*(p + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24565*i**2 - 2*i + 2625667 with respect to i.\nAnswer: 49130*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 27*v. Let l(b) be the second derivative of b**4\/12 - 3*b. Give i(l(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 4*j - 70 = 0, 61674*y + 30 = 61683*y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3379154 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4137 + 8879. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -u**2*x**3 + 275159*u**2*x**2 - 6*u**2 - 94911*u*x**3 wrt x?\nAnswer: -6*u**2 - 569466*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/11, -12.6, 3, -1305.4, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**5\/m))**10\/((m\/(m\/(m*(m\/((m**(-11)\/m*m)\/m*m*m))\/m)*m)*m)\/m**(1\/23)) assuming m is positive.\nAnswer: m**(-942\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/6*s**2 - 139\/6*s - 154.\nAnswer: -(s + 7)*(s + 132)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 5 - -8) + (-6 - 65) - (-6 + 0).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20743 (base 8) in base 3?\nAnswer: 102220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 561425\/168432 - -5\/56144. Solve -t*g**2 + 8\/3 - 2\/3*g = 0.\nAnswer: -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 220 (base 13) to base 14\nAnswer: 1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 645, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/4)*z**(-3)*z**(-2\/5)*z**(-1\/4))**44 assuming z is positive.\nAnswer: z**(-858\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*x + 40 = 45*x. Suppose -x*y + 3*y + 5 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1323140 (base 5) to base 16\nAnswer: 682e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - -2*(-2)\/(-24). Is 1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97.27344 days in hours?\nAnswer: 2334.56256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 111793, 111790, 111785, 111778?\n\"Answer: -i**2 + 111794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 56, 140, 224, 308?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 12*g - 15. Let h be y(-10). Let t = -1 + h. What is the highest common divisor of 24 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 21 = 5*m, -5*m - 4*f = -0*m - 3. Let i be m\/(-2)*-6 + -2. Calculate the greatest common factor of 56 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.2 and -12826770?\nAnswer: 12826768.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of 22*c**7\/21 - 13*c**5\/5 + 75*c**4\/4 + c**3\/6 - 2*c + 727. Find the third derivative of d(a) wrt a.\nAnswer: 2640*a**2 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*z - 22*z**2 + z**3 + 2*z**4 + 12*z**2 + 1 + 16*z - 29*z**2 + 38*z**2 in the form l*z**3 + f*z + r*z**4 + p + t*z**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c718 + 5b0?\nAnswer: ccc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 divided by -5?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pwp when three letters picked without replacement from {w: 3, p: 4, f: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39, 70, 101?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28469172 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1a8 (base 15) to base 5\nAnswer: 3013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1418, 1420, 1422, 1424, 1426, 1428?\n\"Answer: 2*y + 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7024 is divided by 88?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 3*h**2 - 193*h + 249. Let d be c(63). Let p(s) = s**2. Let u(f) = -7*f**2 + 4*f. Determine d*p(b) - u(b).\nAnswer: 4*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 2*f**5 + 3 - 5 + (6*f**4 + 0*f**4 - 3*f**4)*(0*f + 0*f - f).\nAnswer: -f**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 2:09 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) 2  (c) 5  (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2725.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*x + 0*x - 4*x - 2*x)*(71*x**2 - 25*x**2 + 25*x**2).\nAnswer: -994*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 + -2 + 4)*(-102 - -4). Suppose 0 = -3*a - w + b, 2*a = -a - 2*w + 100. Solve -16 + 6 = -5*o + 2*i, -4*i + a = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37423 is divided by 11997?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 12 - 10*n + 4*n**2 + 8*n**2 + 0*n**2 - 10*n**2. List the prime factors of z(9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 15*l**2 - 14*l + 3. Let o be m(-14). Solve -2*p = -6*p + d - 12, 0 = p - 5*d + o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -107*d - 56*d + 4*d**2 - 116 + 51*d.\nAnswer: 4*(d - 29)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = v, -3*v = -k - 3 - 1. Let i(b) = -2*b - 13. Suppose 0 = -4*z + 2*z + 26. What is the remainder when z is divided by i(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 779069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 10:40 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g**2*w**2 - 6*g**2*w - 60*g**2 - 859*g*w**2 - 17330*w wrt g?\nAnswer: -4*w**2 - 12*w - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 13*g**2 + 11*g + 10. Let i(u) = -11*u**2 - 11*u - 10. Let r(t) = 6*i(t) + 5*v(t). Let r(a) = 0. What is a?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82961, -82968, -82979, -82994, -83013?\nAnswer: -83036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -4 + 9*t + 4. Let w(f) be the first derivative of f**2 - 40. Give w(d(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 11*k - 114. What is t(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of -3*x**2\/2 + 9*x - 55. Give s(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {d: 1, q: 3, l: 1, u: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -259.34+0.3\nAnswer: -259.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -4 - 3*c + 15 + 5*c. Let k be j(-5). Suppose -2*n - b + 3 = 0, 2*n = 4*b + 7 + 1. Put -1\/3, k, n in descending order.\nAnswer: n, k, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1263 divided by 3.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -26  (c) -31\/3  (d) 4  (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (1 - 3)) + -10 - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1455*m + 715*m + 54374 + 38540 = -13416 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 814.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10922038751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of -5*r**2\/2 + 8*r + 4. Is w(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**3 + 1192*s**2 + 177210*s + 7801596 = 0.\nAnswer: -398, -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*l + 8*l - 42*l**2 + 18*l + 19*l wrt l?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111101010101011101 (base 2) to base 6\nAnswer: -5215033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 854175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/21 - (-48)\/28. Suppose 5*h - 9 = -2*b - 0, b - 5*h + 3 = 0. Let d be (4\/3)\/(b\/6). Solve 0 = -d*j + v + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22*a**3*i - 20*a**3 - 74*a**2*i + 346 wrt i.\nAnswer: -22*a**3 - 74*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51750090 divided by -135.\nAnswer: -383334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -9*m**3 - 3*m**2 + 11*m + 25. Let v be b(-7). Let d = v - 1992. 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 p = 5*g - 19, 2*g + 8*p - 6 = 10*p. Let t(s) be the third derivative of -1\/60*s**5 + 5\/6*s**3 + 0*s + 1\/12*s**g + 0 + 37*s**2. Calculate t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + 6*q**2 - 3*q**2 + 2*q**3)*(-2636 - 1874 + 351).\nAnswer: -8318*q**3 - 8318*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 22487539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 12\/18*3\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -25*f**4 + 9*f**3 + 10*f + 9. Let i(c) = 12*c**4 - 4*c**3 - 5*c - 4. Let h(y) = 9*i(y) + 4*s(y). What is the second derivative of h(p) wrt p?\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -50*c**3 + 5810*c**2 - 1161*c + 115. What is k(116)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24930 - -24935. What is the nearest to -1 in u, -4, 153, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**19*c*c**(-8) assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -4*x**2 + 4. Let l be ((-12)\/(-24))\/(2\/(-4)). Suppose -9*b + 26 + 19 = 0. Let r(z) = 7 - b - 3. Calculate l*a(m) - 4*r(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 28 + (14820\/418 - 42\/(-77))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (33\/198)\/(12\/(-1584))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 21 = 13. Let l = -18 - d. What is the smallest common multiple of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160\/28*5852\/(-2090)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 66 - 63. Solve -i - 6 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29.7 - -30. Let z = -21 - -43\/2. What is the smallest value in z, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -229, -1, 3, 6, 34 in decreasing order.\nAnswer: 34, 6, 3, -1, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -155, 13, -123634 in ascending order.\nAnswer: -123634, -155, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + -5 + sqrt(14)\/sqrt(2) - (sqrt(28)\/sqrt(4) + 1)) + -1.\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 463837348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*o = -126*o + 212. Let y(t) = -8 + 3 + 2*t - 2. Let a be y(6). Solve s - a*m = -20, 0 = -5*s + o*m - 0 + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or 101768\/19505?\nAnswer: 101768\/19505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 t when three letters picked without replacement from tzjlxazxl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163216 = -12*f + 56986 + 39130. What are the prime factors of f?\nAnswer: 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of -g**7\/2520 - g**6\/180 + g**5\/30 - g**4\/12 + 2*g**3\/3 - 44*g**2. Let x(y) be the second derivative of p(y). Give x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11943 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r + 20. Give k(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 1 + 2. Suppose 0*l - 2*l - y = t, 5 = -t. Let j be (-1)\/(((-3)\/(-21))\/(14\/(-49))). What is the third smallest value in j, l, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -57670902 - -23557737. Let v = -34113164.00000012 - f. Let z = v + -1. What is z rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*p - 2*p. Let t = 6035.26 - 6035.4. What is the third smallest value in -3\/5, p, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 - 10*q**2 + q - 6. Let u be r(10). Solve 20 = -u*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wyyyyyyyyyyyyywyyywy. What is prob of picking 2 y?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -2. Suppose -m*i = -3*i + 59. Let h = i + 121\/2. Sort -2\/3, 0.3, h.\nAnswer: -2\/3, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 25, 0 = r + 4*r + 2*h - 75. Let g = r - 15. Suppose -15 = -v + 4*v, 61 = g*i - 3*v. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 41 and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1971 - 1663. What is the lowest common multiple of a and 440?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**2 - 14*r**2 - r**2)*(-4 + 4*r - r - r).\nAnswer: -24*r**3 + 48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23591799?\nAnswer: 3, 7, 11, 59, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**2 + 3*f - 3*f + 2*f**2 - 2*f**2 + 2*f**2 + (-4 + 4 - f)*(-f + 0*f - f) - f + f**2 + f - f + 2*f**2 + f + (4 + 3 - 5)*(2*f**2 - 3*f**2 + 2*f**2).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifty-one halves of a kilogram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1679356 divided by 28.\nAnswer: -59977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 16) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 101.235 + 600.655. Let s = 702 - l. Is -23 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41322*c - 1 - 60265*c - 101356*c.\nAnswer: -120299*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.7 less than -6.7301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 0.1. Let p = -426.8 - -426.3. Which is the closest to h?  (a) p  (b) 0.02  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + 10 + (-7 - (-7 + 8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -208085  (b) 20  (c) -4  (d) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 2 + 1*(sqrt(425) + (sqrt(425) - (-1*sqrt(425)*-3 + sqrt(425))))**2*-4 + -5 + 2)*4.\nAnswer: -27196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -43 divided by 2\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u - 1. Let o be y(1). Let x be 26\/(-230) - o\/(-10). Which is the closest to 0?  (a) 0.5  (b) x  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -201365\/14 bigger than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*l**2 - 42*l**2 + 16*l**2 + 10*l**2 - 61*l + 63*l + 2.\nAnswer: -11*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 5*j**2 - 73*j + 26. What is y(13)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70197 is divided by 936.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q**2 - 2*q + 8189. Let z(m) = 2*m. Determine o(z(f)).\nAnswer: -12*f**2 - 4*f + 8189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8607 and 373.\nAnswer: 3210411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**3\/9 + 4552*n**2\/3 + 2593120*n + 93133952\/9.\nAnswer: 2*(n + 4)*(n + 3412)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -123.61 - -123. Let a = -0.31 - t. Let i = -0.03 + a. Sort 2, -3\/2, i in descending order.\nAnswer: 2, i, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 69, 147, 225?\n\"Answer: 78*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5397 by -8.\nAnswer: 5397\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 4*l = 52 + 185, 0 = -2*f + 3*l - 92. Let h = f - -159. Calculate the lowest common multiple of 30 and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 n when three letters picked without replacement from {u: 4, d: 4, n: 2, q: 7, s: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2762 + 56*l - 7*l + 2762.\nAnswer: 49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1)\/m*(m**(-2)*m)\/m*(m\/m**(-8))\/(m\/(((m\/(m**9\/m))\/m)\/m)*m) assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 99 - 94. What is the biggest value in 0.1, 1\/3, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 3*u + 6*u + 142 = 0, 181 = 5*k - 2*u. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**2 - 4*z**2 + z**2)*(z - 2*z - z) - 2*z + 5 + z**2 + 3*z + 184*z**3 - 3.\nAnswer: 186*z**3 + z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2233 + -144?\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 4:18 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2936023406 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 6687.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.416 + 2.474. Let s = 65 - 64.868. Let y = s + a. Round y to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -200 - -5001\/25. Let d(g) be the second derivative of -2*g - a*g**5 + 2\/15*g**4 - 2\/15*g**3 + 0*g**2 + 0. Factor d(b).\nAnswer: -4*b*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -689 - 631 = 33*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 8*u**2 - 10*u + 13. Let o be r(9). Let f(q) = 2*q - q + 2*q**2 - q**3 - 3*q + o*q - 2. Determine f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*w + 0*w + 0*w)*(7*w + 6*w + 2*w)*(4*w + 2*w - w) to the form m*w + j*w**3 + s*w**2 + i and give j.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 39*d - 230. Let z be p(6). Solve -5*j - b = 10, j - z*b = -2*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -353871 divided by -110?\nAnswer: 353871\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from igkkkkvthttt. Give prob of picking 1 v, 2 k, and 1 g.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -7\/2, 23, 8, 0.037?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 176.4649 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291*s - 42 = -298*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -13*q + 146. Let v be y(11). Suppose 329 - 35*r**v - 202 - 177 + 5*r**4 - 135*r**2 - 145*r = 0. What is r?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 9) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 8)*(-4 - 3 + 5)*(19*s + 8 - 8).\nAnswer: -152*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -41 from 99.54830782.\nAnswer: 140.54830782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 132403 (base 7) in base 8?\nAnswer: 60477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 8 = 4*z, -3*z + 2 - 11 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -630423037 rounded to the nearest 1000000?\nAnswer: -630000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3819c8 (base 14) in base 13?\nAnswer: 525552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/41 and 39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18672 - -10735. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 24 = -p, 5*p - 6*t + 36 + 53 = 0 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/24 and 37\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3691206 to the power of 1\/2, to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - (2 + 0) - -2. Suppose -4*k + 44 = -0*u + 2*u, k - 3*u = 11. Let t = k - i. Calculate the remainder when 35 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - q - 3, 0*l + 5*q - 15 = -5*l. Suppose 0 = -z - 5*b - 5, 2*z - l*z - 12 = -2*b. Let i = 23 - z. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 1\/3  (c) 29  (d) 2\/5  (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**(-5\/4)))\/(o**(-4)*o)*o*o*o**7*((o*o*o\/o**5)\/o)\/o*o**1\/o**(-2\/11)*(o**(-2\/9))**13 assuming o is positive.\nAnswer: o**(2987\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence el when two letters picked without replacement from elel?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -237660 rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 80*u - 78*u - 107, -2167 = -62*m + 3*u for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1404*h + 40160 = -31444 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w + 7*w + w + 0*w - 4*w. Let l(v) = 7*v**2 + 4*v**2 + 6*v**2 - 18*v**2 + 44*v. What is l(z(s))?\nAnswer: -9*s**2 + 132*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.162545 to three dps.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 40439.08 decades in months?\nAnswer: 4852689.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 3 = 3*x - 15, 0 = -4*x - k + 39. Find the first derivative of 15 - 5 + x + 6 + 3*l**3 wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 - 62\/((-9549)\/(-1365) + -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1349334 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -389010*a**2 + 382*a - 397451908 wrt a?\nAnswer: -778020*a + 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 58841 and 8526.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(((-6)\/(-12))\/(-1)))\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c**2 + 53. Let u(j) = -2*j + 34. Calculate t(u(r)).\nAnswer: 12*r**2 - 408*r + 3521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -799 = -2*i - 3*b, 529 = 2*i - 4*b - 305. What is the remainder when i is divided by (-3)\/(-2)*(-20)\/35*476\/(-8)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of (-783)\/(((-55)\/(-110))\/(5\/(-2)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -5*n - 1753, -3*n + 8*n = 15. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49931488 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36, 76, 116, 156?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 + -16.5. Let x = p - -1. Round x to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*g = -65*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 8449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -5. What is the lowest common multiple of 6 and 1 + (s + 5 - -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 110 - 1342334?\nAnswer: -1342224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -53155.0823 - 2.\nAnswer: -53157.0823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 30 - -14?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3265769599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3795 + -3794.9. Let t = -2858 - -97147\/34. Let h = 4\/17 + t. Which is the third smallest value?  (a) x  (b) h  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -47?  (a) 1\/9  (b) 28  (c) 1\/3  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -2*g**3\/9 - 88*g**2\/9 + 1370*g\/9 + 1456\/9 = 0.\nAnswer: -56, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 28 + 16*r - 28 - 18*r. Let g(m) = -m**2. Determine g(q(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -83*b + 1332. What is m(19)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12738 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1012 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4250084865 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-5 + -1)) + (-1 - 6 - -3) - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1843146427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -44 and 9.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 16*f**2 + 26*f + 21. What is g(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23131559903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-3*sqrt(363) + -2)*5)**2.\nAnswer: -408875 - 16500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*x = 5*q - q - 0*q - 202 - 195, 14*x + 390 = 4*q for q.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 295*n - 626235 = 32*n - 20283. Solve 9*z - n = -2313 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f - 718 + 763 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 313885896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -3*x + 1. Let q be y(-1). Suppose -24*l = -23*l - q. Suppose u = 5*j + l, u + 3*j - 7*j - 4 = 0. What is the remainder when 17 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k - 6398*k**2 + 3*k + 6408*k**2.\nAnswer: 10*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 246006011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 27*s - 101. Let p be f(4). Suppose -4*k = -3*k - 2*y - 3, -2*y = -2*k + 12. Let w(v) = v + k*v + 3*v - p*v. Let o(n) = -3*n. Determine w(o(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22857, 43019, 63181, 83343, 103505?\nAnswer: 123667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2660?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(114) - sqrt(114)*-1)*4 - sqrt(114)) + sqrt(114) - ((sqrt(114) - 6*3*sqrt(114)) + sqrt(114)))\/(-6*(-2*sqrt(12))\/sqrt(2)*2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -593 + 597. Suppose -5*l - 3*p = -5286, -18*l - z*p + 1064 = -17*l. Does 82 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -47*y - 19*y - 55 - 77. What is the nearest to 0 in 18, y, 0, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.9206941 - -0.0105931. Let h = -0.91 - d. Round h to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2065900 to the nearest ten thousand.\nAnswer: -2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -134173.681 + 0.2\nAnswer: -134173.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4149431*n**2 - 4149431*n**2 + 4*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6553 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -69, 3, -80, 5, -34, 1 in descending order.\nAnswer: 5, 3, 1, -1, -34, -69, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1252838 is divided by 18424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 71*s**3 + 6*s**2 - 63. Let f(u) = u**3 - 2*u**2. Let r(y) = -6*f(y) - 2*k(y). Differentiate r(n) wrt n.\nAnswer: -444*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + -15. Let o = 1.85 + 0.15. Let j = 2 + 2. Which is the second biggest value?  (a) s  (b) o  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-24))\/(4\/10).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 5*h = -22 - 90, 0 = -2*i + 3*h + 211. Sort i, -0.2, -2, 2.\nAnswer: -2, -0.2, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-18) - 159\/(-18). Let t = -2 + i. Solve -3*q - t - 2 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -3, 18581948, 3 in decreasing order.\nAnswer: 18581948, 3, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 9:31 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 335\/(-230) + (-275)\/(-110)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 3)*(-8*k + 29*k**2 + 10*k - 1 - 26*k**2)*(2*k + 94 - 119 - 123) as d*k**3 + y*k**2 + f + j*k and give y.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/24 and -77\/1160?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -10640*u - 52001. Calculate g(-5).\nAnswer: 1199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43243*g = 9771*g + 2836730 + 1447686 for g.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*q**2 + 2*q**4 - 1 - 3*q**4 + 6*q**4 + 35*q + 25*q**3 + 11.\nAnswer: 5*(q + 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22818371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q + 11. Let o be v(9). Suppose 0*i = -i - o. Is 8 a factor of (-25 - i)*(0 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 507*m = 516*m - 128, -14*q + 12*q + 5*m = 47 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*h - 3*o - 20 = 0, 0 = -h + 4*o + 18. Let y be 16\/(-4) + (-2)\/(-1) + 7. Find q, given that -2*q + 8*q - y - 9*q**h + 4 = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3309.25 meters in nanometers?\nAnswer: 3309250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5*(-8)\/(-200)*-20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*b + 36 = -14*b. Let x(p) = 0*p + p**3 + 4*p**2 + p - 3 + 0*p**3. Let t be x(-3). Solve -5*w + 4*k = t*k + 23, 8 = -b*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.03045 and 19741?\nAnswer: 19741.03045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - v - 412. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 27*y - 2200. Calculate the lowest common multiple of y and 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -462 - 32*a**2 - 299 + 234 + 319*a - 30*a**3 + 233*a - 2*a**4 - 177.\nAnswer: -2*(a - 2)**2*(a + 8)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 14\/((1\/2)\/1). Suppose -2*q + 112 = 2*y, 58*q - 4*y = 61*q - 168. Calculate the greatest common divisor of b and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19862 take away 0.017828013?\nAnswer: -19862.017828013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nlnl when four letters picked without replacement from lnzlnznnlnl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1306 and 167374.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -113 - -116. Suppose 1 + 2*u**4 - 4*u**2 - 23*u**3 + 5 + 15*u**k - 4*u**4 + 8*u = 0. Calculate u.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 9. Let u(m) be the first derivative of -m**2 + 7 - m**2 - x. Let v(i) = -i**2. Determine v(u(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -42 divided by 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 - 19*h**2 + 43*h - 142. Let r be u(17). Solve 28 = -r*q + 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(27) - (sqrt(3) + sqrt(3) + 1*sqrt(9)\/sqrt(3)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*i**5*y**2 - 6*i**5*y + 12*i*y**2 - 4*i*y - 3*y**2 wrt i.\nAnswer: 240*i**3*y**2 - 120*i**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1104*w = -1112*w + 64. Suppose 0 = -d + 5 - 1, -5*u + 53 = 2*d. Which is bigger: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1406588 (base 11) to base 16.\nAnswer: -24fe84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 1\/7, -39, -16, -139, -2\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 235025?\nAnswer: 235030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*u - 45 = -38 + 223. Put -218, -0.1, u in decreasing order.\nAnswer: u, -0.1, -218","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + i**2 - 7*i - 46. Determine n(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h - 1066*h**3 + 1058*h**3 + 2*h**4 + 2*h**2 - 5*h**2 as i + y*h**3 + s*h + d*h**2 + a*h**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 949 divided by -13065.\nAnswer: -73\/1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (456*w**4 - 3*w**4 + 615*w**4)*(-2 + 1 + 2 + (-2 + 3 + 1)*(1 - 4 + 4) + 3 - 4 + 3).\nAnswer: 5340*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5247556 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + -3. Let z(v) = 2*v**2 + 2*v + 1. What is the smallest common multiple of z(-2) and ((-84)\/(-14))\/(s\/(-8))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7\/8 + 5\/8. Let p = -396 + 397. Which is the nearest to 0?  (a) -19  (b) p  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -236 - -232. What is the closest to y in -2, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -5*x + 1, 10*z = 15*z - 5*x + 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 373247.\nAnswer: 7, 71, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 59, 11.\nAnswer: -5, 11, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - 28) + 19 - 31.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14 take away -217?\nAnswer: 216.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f**3*i*k**2 - f**3*i + 41*f**3 + f**2*i*k**2 + f + 9*k**2 wrt k.\nAnswer: 2*f**3*i*k + 2*f**2*i*k + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -3*l**2 - 135*l - 258 = 0?\nAnswer: -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (5 + -6 + -2) - (16 - -1 - -36)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10\/3*h**2 - h**4 - 1\/3*h**5 + 3 - 7*h + 2*h**3.\nAnswer: -(h - 1)**3*(h + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f + 1. Let z(i) = -8 - 107*i + 216*i - 115*i. Let a(u) = -u**3 + 5*u**2 + 5*u + 5. Let s be a(6). Calculate s*z(r) - 8*y(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.461 in 5, -0.354, 46?\nAnswer: -0.354","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -170153946, -340307892, -510461838, -680615784, -850769730?\n\"Answer: -170153946*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 850 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 1:40 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 PM and 5:46 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84247 is divided by 264?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.029 times 0.689?\nAnswer: 0.019981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (36 + 6 + 4)*(-3*s - 1 + 1) + 10 - 10 - 4*s as c*s + l and give c.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3 - 15*v**2 + 30*v**2 - 14*v**2 - 4*v. Let r = 8 + -4. Determine h(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9\/18 + 2)*4. Solve 3*c + i = p, i + 1 - 19 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*(x\/x**13)\/x*x*x\/(x**13*x)*x)\/(x\/(x*x**(-3\/4)*x))**(-5\/14) assuming x is positive.\nAnswer: x**(-1237\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 2016127 = -713873. What is p rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w**3 - 8*w**2 + 107 - 107 - 36*w**2 to a*w + y*w**3 + x*w**2 + d and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-6\/5)\/(l*((l\/(l*l\/(l**(1\/5)*l)*l*l))\/l)\/l)*l*l**(21\/4)*l**(-31))**(-4\/7) assuming l is positive.\nAnswer: l**(463\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (6 + -5 - (-1 + 2)) + -13 + 13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -15*z + 853. Let b be l(57). Let w = 0.84 + -0.7. Is b not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1025408 by 64.\nAnswer: 16022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.2 - -4. Let p = 0.824 - r. Round p to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 14*h**2 - 24*h + 26. Let j be y(9). Solve i = j - 219 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3*r**2 + 4*r + 4. Let n = -285 + 279. Let l(z) = 4*z**2 - 5*z - 5. Calculate n*m(b) - 5*l(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 + 66. Let k = l + -76. Let r = k - -68. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -348, -341, -334, -327, -320?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 15, x - 5*i + 3 = -2*x. Suppose n - x = -n. Suppose -3*z + 0*a + 351 = n*a, 4*a + 12 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2432, -4857, -7282, -9707, -12132, -14557?\nAnswer: -16982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8 + -1 + -3*1. Suppose -4*y - 3*t + 8*t - 2 = 0, 4*y = 4*t. Sort 5, y, p in ascending order.\nAnswer: y, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8720.828 - 8754. Let n = -59 + 58.772. Let z = m + n. What is z rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 17, -4, -76, -11 in decreasing order.\nAnswer: 17, 4, 0, -4, -11, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2290*b**4*j**2 - 3*b**4 + 2*j**2 - 169825 wrt b.\nAnswer: 9160*b**3*j**2 - 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/5)\/((-5)\/(-125)). Let y = b - 11. Solve 5*s = l - 5*l - y, 0 = 4*s - 3*l - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14226671 >= -15\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i**2 - 4*i + 3. Let c = -23 - -20. Let y(o) = 2*o**2 + 4*o - 4. Let q(k) = c*y(k) - 4*r(k). Factor q(l).\nAnswer: 2*l*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.5542 - 0.552065. Round f to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c**2 - 8*c + 5. Let n be f(-4). What is the biggest value in -3, -4, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 453.11 times -1737\nAnswer: -787052.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 2*u - n, 34442*n - 34443*n + 93 = -24*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 3*t**2 + 6. Let y be u(-5). Calculate the highest common divisor of 54 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (139761\/212)\/(6\/4). Let k = -441 + y. Which is the second biggest value?  (a) -2  (b) -1  (c) -5  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -216414327, -216414325, -216414313, -216414285, -216414235, -216414157?\n\"Answer: i**3 - i**2 - 2*i - 216414325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*j**2 + 6*j + 8*j - 12*j - j**2.\nAnswer: 107*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - j + 10 = 0. Is 4 a factor of 6 - ((-2 - -1) + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*g + 36*g + 13*g.\nAnswer: 68*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 8*d**2 + 7*d - 11. What is i(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 + -27. Calculate the greatest common factor of y and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j**3 - 5*j**2 - 26*j + 7. Let v(u) = 4*u**3 + 6*u**2 + 27*u - 6. Determine -5*t(w) - 4*v(w).\nAnswer: -w**3 + w**2 + 22*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 9 = 5*k. Suppose 4*x = -4*l + 132, -l - 2*x + 45 = -k*x. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((-16)\/10)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 2:13 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 33*v**3 + 2 + 320*v + 37*v**3 - 307*v to o*v**2 + f + m*v + b*v**3 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 504077.1ms in minutes?\nAnswer: 8.401285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 21. Let t(x) be the first derivative of -x**4\/4 + 2*x**3 + 7*x**2\/2 + 2*x - 5. What is the remainder when s is divided by t(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4912*r**2 - 2*r - 1813 wrt r.\nAnswer: 9824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - -5 - (-14 + 27) - (-4 - 29).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z + 14. Let l be b(-11). Suppose -3*v + l*p = -108, 4*v - 96 = v - 3*p. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28 - 25) + (3 + -15 - (-3 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/24283724 and 59\/124.\nAnswer: 752795444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ududuudduduuuuuuuuu.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t**2 - 9 + 9 + 520438*t.\nAnswer: 4*t**2 + 520438*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -15, 1, 3\/19, -18.\nAnswer: -18, -15, 3\/19, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6301 + 6445. What is the highest common factor of p and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 64 = 10. Let l be (-6)\/d - (-25)\/9. Suppose -l*c + 1381823 - 91823 = 0. What is c rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (235\/150)\/(-1)*2\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.17 times -29.5\nAnswer: 5.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 6:07 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -8*o - 14. Let x be n(-10). Let w(t) = 2*t**2 + 6*t + 3. Let a be w(-5). Let z = a + x. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165 is divided by 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16004376653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -309?  (a) 2  (b) 0  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o\/o**(3\/5))\/o)\/(o*o*o**(5\/2)*o))\/(o\/((o**(-4)*o)\/o))**20)**(-4) assuming o is positive.\nAnswer: o**(2122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4838237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-1048.\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 5*k - 6. Let c(z) = 6*z - 7. Let h(t) = 6*c(t) - 7*g(t). Let y(x) be the third derivative of 7*x**5\/30 - 29*x**2 - 10*x. Give h(y(p)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1121982461.04 + -0.06?\nAnswer: 1121982460.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-20)\/(-6)*-66*(-9)\/(-15). What is the lowest common multiple of (-3)\/(-18)*-2*(l + 0) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-16)\/14)\/4 - (-1002)\/(-21). Let u = i + 334\/7. Let o = -4 - -7. Which is the nearest to u?  (a) o  (b) -0.5  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/510068 and -93\/1154.\nAnswer: 510068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -379131*f**2 - 2*f + 1062868 wrt f?\nAnswer: -758262*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -631.89 - -640. Let q = 0.11 - b. Let w = q - -7.72. Round w to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (-7 - (0 + 8 + -14))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 174276 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 6 = -6*n. Let x(g) = 2 - 4 + 1 - 3*g**n - 3*g. Give x(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.9 + 5. Let l = 5.1 - u. Let q = l + -4.8. Which is the third biggest value?  (a) 2\/17  (b) 0  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 448825 and 179530.\nAnswer: 897650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2714844 and 2355.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -629*o**3 + 35638*o**2 - 65019156*o wrt o.\nAnswer: -3774*o + 71276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 811044 or 811041?\nAnswer: 811041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 0*l + 0*l)*(-29 - 35 + 66).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 440370720 divided by -1834878.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*a + 4 = 24*a. Suppose -6*b + 1042 = -a*b + 2*g, -530 = -2*b + 2*g. Let i = -153 + b. Calculate the remainder when i is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -24.2 and -27026.\nAnswer: 654029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -8 + 3 - 0 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8531631 divided by -3\nAnswer: -2843877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from igzziwzjzpggig. What is prob of sequence zp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 6*x + 5. Let l be v(-6). Let w(c) = -2*c + 5. Let j(r) = -1. Let m(b) = l*j(b) + w(b). Let t(f) = -2*f. Give t(m(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - ((-12)\/(-6) - 1)) + (-837)\/775?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001101 - -100100001010111011?\nAnswer: 100100001100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (-112920)\/(-36) - 0 - (-4)\/(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert -1220201110 (base 3) to base 6.\nAnswer: -450320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42.49439 or 0.2?\nAnswer: -42.49439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**3 - 1490*v**2 + 13075*v - 20230.\nAnswer: 5*(v - 289)*(v - 7)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2*o + 3 = 0, -2*f - 2*f - o + 15 = 0. Suppose k + 11 = 3*y - 4, -5*k - f = 3*y. Suppose -2*r = -y*r + 76. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and -52.719.\nAnswer: -51.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3466 and 14?\nAnswer: 24262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65068, -65069, -65070, -65071?\nAnswer: -65072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.053225 rounded to one decimal place?\nAnswer: -26.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 17835 divided by 3567\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56 divided by -12531.\nAnswer: 56\/12531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 10*i**2 - 7*i + 15. Calculate the lowest common multiple of f(4) and (-1 - -3)*216\/48.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m + m - 2*m**2 + (1 - 1 - m)*(-6*m + 0*m + m) - 4*m**2 - 3 + 3.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 33 = -x, 5*j + 0*x - 3*x + 77 = 0. Suppose 2*r = -l - 12, -3*l - 3*r - 23 = l. Let z be -2 - l\/(-14)*j. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 - 6*c**2 + 10*c - 33. What is the smallest common multiple of w(-8) and 25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 - ((55 - 73) + 67)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*s - 2)*(8*s**4 - s**3 + s**3) - 11*s**5 + 22 - 22.\nAnswer: -27*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.07 + 1.07. Sort -0.2, b, 1\/2 in descending order.\nAnswer: b, 1\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in r**3 + 180*r**2 + 8277*r + 15842 = 0?\nAnswer: -89, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - (2 + -1)) + (63 - (219 + -169)) - -30?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 696  (b) 4  (c) -1\/5  (d) 69  (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v. Let m(r) = -441*r**2. Determine h(m(l)).\nAnswer: 441*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9406 = -18339*w - 168052 - 2536714 for w.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.392 - 76.092. Let h = n - -8.7. Let u = h - -67.2. Which is the third biggest value?  (a) 2\/5  (b) u  (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -5*v**3 + 10*v + 9. Determine o(-3).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -d + 3*d. Suppose -k + d*k - 6 = 0. Solve 5*n = -15, 0 = 2*t - 0*n - k*n + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 57*28\/11172*14\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 22*n**6\/5 + 11*n**3\/3 - n + 4. What is the second derivative of i(b) wrt b?\nAnswer: 1584*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(360) + sqrt(10))\/(sqrt(25)\/(sqrt(605) - sqrt(5))))**2 + 0.\nAnswer: 168200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 72086 divided by 42?\nAnswer: 5149\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7795749.\nAnswer: 3, 13, 47, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1062, -1915, -2582, -2961, -2950?\n\"Answer: 17*j**3 - 9*j**2 - 945*j - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 1122690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/168 and 119\/76848?\nAnswer: 537936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19.4 + 18. Let t = 1.6 + u. Let n = -9 + 7. Sort n, t, 0.5 in descending order.\nAnswer: 0.5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v + 5 + v - 3*v + 0*v. Is j(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 12*d**2 + 7*d - 77. Let h be n(12). Solve 56 = 7*r + h*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-11784784\nAnswer: -2356956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeqzzepqqprrqy. Give prob of sequence pp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22619\/13 - 1740. Which is the closest to h?  (a) 0.5  (b) 5  (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -3102*r - 2577. What is the tens digit of c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 2*k + 3. Suppose -4*g - 2*c - 14 = 0, c = g + k*c + 11. Suppose 5*r + 15 = 5*l, 0 = -4*l - 0*l + 5*r + 11. Sort g, 0, l in ascending order.\nAnswer: g, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -b - 472, -5*b - 42*l + 39*l - 2370 = 0. Let f = 11604422\/23739 + -5\/15826. Let n = f + b. Find the common denominator of 37\/64 and n.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-3))\/(497\/(-639)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -358 + 693. Suppose -i = -4*c + s, -2*c + 175 = -3*i - 0*i. List the prime factors of c.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, -0.1, -1\/7, 3\/82, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23512769 is divided by 4837?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/65?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 12833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -47.145543 + 0.146983. Let s = 62.4 + -109.4. Let z = t - s. Round z to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-168))\/(-2*10\/140).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*z = -8372 + 13988 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26 * -14412.\nAnswer: 374712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from vpd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2299, -2502, -2629, -2680, -2655?\nAnswer: -2554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n. Let k(v) = -v**3 - 9*v**2 + 10*v + 6. Let x be k(-10). Let l be (-46)\/(-3) - (-4)\/x. Suppose s = 5*s + l. Determine m(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -410403 (base 5) to base 8.\nAnswer: -31654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -65*x**3 - 253*x**2 - 34*x + 34. Let m(k) = -48*k**3 - 190*k**2 - 25*k + 25. What is -15*m(j) + 11*t(j)?\nAnswer: 5*j**3 + 67*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -69345 + 69270 + 0*g + 2*g as s + m*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5 and -67760.\nAnswer: -67765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w + 44453 - 44523 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-342))\/(60*119\/(-48195))?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 666870?\nAnswer: 2, 3, 5, 22229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 39 + -106 + -2?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13330 and 620.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 9*i**3 - 3*i**2 - 39. Let c(p) = -2*p**3 + p**2 + 1. Give -4*c(q) - k(q).\nAnswer: -q**3 - q**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 292564\/3 + -97522. Let m = 1.5 + -1. Which is the closest to g?  (a) -2\/9  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, j: 3, y: 4, o: 4, d: 1, t: 7}. What is prob of picking 1 d and 3 y?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46.4458 - 0.0458. What is d rounded to 0 dps?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -442868, -10, 0.1 in decreasing order.\nAnswer: 0.1, -10, -442868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*f + 0*f**3 - 2*f + f**3 to w*f + d + m*f**2 + v*f**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -0*j. Suppose -4*t - 5*k = 35, 5*t + 2*k - 3*k + 22 = j. Let u(q) = 2*q**2 + 6*q + 7. What is the units digit of u(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8186623, -16373218, -24559813?\nAnswer: -32746408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118716506?\nAnswer: 2, 2953, 20101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -24971 less than -3829?\nAnswer: 21142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 67020*n**2. Let s(z) = 4*z + 165. What is s(k(g))?\nAnswer: 268080*g**2 + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q + 9. Let f be t(-3). Suppose 64 = 4*u - 5*l, 0 = f*u - 3*l - l - 49. Let m = u + 36. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4777113 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-25)\/350*-154)\/((-2)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t + 3. Let h(j) = j**3 - 3*j**2 - 22*j + 60. Let f be h(3). Give q(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 greater than or equal to -29220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5170083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u**2 + 3*u + 832. Let d be m(0). Suppose -4*q + 3*s + d = 0, 4*q + 530 = -4*s + 1362. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-54)*3*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -97 + 333. Suppose -7*p - w = -9*p. Calculate the remainder when p is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 5*p - 4*z - 25, -2*z = -4. Find the common denominator of 0 + -71*(-1)\/8 and (-670)\/25*(2 + (-18)\/p).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 86 + -94. Let a be (-10)\/p - (-4847)\/148. What is the greatest common divisor of a and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 q, 1 j, and 1 e when four letters picked without replacement from {x: 5, e: 1, z: 5, t: 1, q: 1, j: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 42264b87 - -4?\nAnswer: 42264b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43993 is divided by 6836?\nAnswer: 2977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 850 - 855 = -5*q - 5*g, 4 = -2*q - 5*g. Let w = 25\/6 - 35\/6. Let c = 1.1 - 0.1. Sort q, w, c.\nAnswer: w, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z**4 + z**4 + 2*z**4 + (0*z + 4*z - z)*(z**3 + z**2 - z**2).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2216384417?\nAnswer: 13, 1361, 125269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*j + 5 + 29*j + 0.\nAnswer: 5*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -16448\nAnswer: -6579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 148648349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of d**4\/4 + 5*d**3\/3 + 2*d**2 + 3*d - 22. Let j be i(-2). Let q(n) = 6 + 2*n**3 - n**3 - 6*n**2 - n**2. Determine q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1138277 and 9.\nAnswer: 10244493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 12  (b) -2\/5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*x**3 - 45*x**2 + x**3 - 2*x + 45*x**2 in the form q*x**3 + m*x + b*x**2 + w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(539) + -1 + -1 + (sqrt(539) - ((sqrt(539) + 1 + sqrt(539) - sqrt(539)) + 4 - sqrt(539) - sqrt(539))).\nAnswer: -7 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -3 - (6 + -2 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6)*v*v*(v*v\/v**(-8))\/v*v*v)\/(v\/v**7*v\/(v**(-8)\/v))*((v**1*v)**(-35))**15 assuming v is positive.\nAnswer: v**(-1047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -13074, -26156, -39248, -52356, -65486, -78644, -91836?\n\"Answer: -b**3 + b**2 - 13078*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18345 and 1365?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (60\/8 - 10)*44\/(-5). Sort g, 2, -1\/2 in ascending order.\nAnswer: -1\/2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 477059 and 158087?\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yhhhyymhthhhhhttythm. Give prob of picking 1 y, 2 t, and 1 h.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((8 - 2)*8\/(-162))\/((-23)\/138)\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*t = 18*t + 27*t + 275 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 - 6*f**2 - 6*f + 8. Let c be 8\/(2 - 16\/6). Let w be c\/(-2) + (-7)\/(-7). What is the units digit of v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8\/50779 or 4.44?\nAnswer: 4.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0010796664 rounded to seven decimal places?\nAnswer: -0.0010797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -459512717 by 43709.\nAnswer: -10513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2\/3 + 4748*v\/3 + 6352.\nAnswer: -4*(v - 1191)*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 819 divide 570024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12356118 - -12356113.99999975. Let v = 4 + q. Round v to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -463 + 507. Calculate the greatest common factor of 308 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -477*b**3 + 158*b**3 + 0 + 159*b**3 + 4 + 158*b**3 + b**2 to the form f*b**3 + c*b + n*b**2 + u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*b - 180 = 16*b. Suppose -5*u = u - b. Suppose -19*v + u*v + 156 = 0. Calculate the least common multiple of 14 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*s + 0*s + 10*s**2 + 15*s**2.\nAnswer: 25*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p - p - 3*p + 2763*p**3 - 2766*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04472912 to 5 dps.\nAnswer: 0.04473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 43 - 12422?\nAnswer: -123bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + (0 + 2)\/2. Find the second derivative of 6*s - 4*s - 2*s**4 - 2*s - d*s wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -125465 - -4?\nAnswer: -125461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 17294 = 2*r, 2*p = 67*r - 64*r - 25976. List the prime factors of r.\nAnswer: 2, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9873 * -6.1\nAnswer: -60225.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(810)*-2 - sqrt(810))\/(sqrt(2) + sqrt(6)\/(sqrt(15)\/sqrt(5))).\nAnswer: -27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qrvnrnnyrrrqyr. Give prob of sequence rnnq.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59 + 60.93. Let t = 1.9219 - n. Round t to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.34?  (a) -3  (b) 10  (c) 1  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(98) + 1))**2*-1 + (0 + sqrt(98) + 2 - ((sqrt(98) + 1*sqrt(98) + sqrt(98))*4 + sqrt(98))**2))*1.\nAnswer: -17451 - 119*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -3*w. Is w < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + z - 2 = 4*g, -2*g + 2 = -2*z. Let p = 4 - 0. Let d = -1.036 - -0.736. Which is the second smallest value?  (a) p  (b) z  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 1 - -8 - (6686 - 6647).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -480 - -550. What is the lowest common multiple of 70 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1093 divided by 9.\nAnswer: 1093\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 PM and 11:55 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/48154730 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.065 + 2285180?\nAnswer: 2285179.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0032803472 to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1696996*u**3 - 46*u**2 + 446 wrt u?\nAnswer: 10181976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (1 - 1) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -11 + 38*b - 35*b + 0. Calculate the remainder when 55 is divided by n(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -137\/8*o**3 + 1\/8*o**5 + 17*o - 49\/8*o**2 - 43\/8*o**4 + 23\/2 = 0?\nAnswer: -2, -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of 6*o**2 - o + 6. What is the tens digit of f(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 621778 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m. Let o(c) be the second derivative of -33*c - 14*c + c**3 - 14*c. Give z(o(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 + 2 = -4*z. Let s be (-322)\/(-5) - (-20)\/(-50). Calculate the highest common factor of s and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/6*3 + 118\/72 and 47\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*-0.02237\nAnswer: -0.08948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2.333 from -5012233.\nAnswer: -5012235.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40 - -44. Sort 7, -3, x.\nAnswer: -3, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 759\/325 or 0.07?\nAnswer: 759\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {g: 4, z: 4, l: 1, s: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -3*c**2\/2 + 9. Let a(x) = -5*x. What is k(a(u))?\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 5*f**2 + 22*f - 211. Let r be p(-9). What is the second biggest value in r, -3, -3.49?\nAnswer: -3.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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 q(l) = 2*l**3 - 20*l**2 - l + 15. Let p be q(10). Suppose -2*d - 4960 = -r - p*d, -3*r - d + 14904 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5 - 539\/(-105))\/((-2)\/(-20)). What is the third biggest value in -1, -2, i, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 + 14*i + 18. Let g be v(-13). Let d(k) = 4 + 4 - 5 + 6*k + 4. Let r be d(5). Solve -r = -g*m + 3*f, -m + 12 - 3 = -f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 120 + -25. Suppose -2*a = 3*a - q. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-38) + (-3492)\/(-684)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*h**3 - 40*h**3 - 41*h**3 - 36*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*m - 509 = -257 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*v, 8*s - 10*s = 4*v - 1320. Let l = s - 350. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of -i**6\/120 - 101*i**5\/30 - i**4\/4 + 3*i**3\/2 + 1057*i**2 - 2. What is the second derivative of y(o) wrt o?\nAnswer: -6*o - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45 - 45) + (9 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 44334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 2*w - 16 = 0, -13*w + 15*w - 13 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**14*p**7*p**(-22)*(((p**(1\/6)\/p)\/p)\/p*p)\/p)**(1\/3) assuming p is positive.\nAnswer: p**(-185\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 39 + -41. What is the remainder when u\/9 + 1518\/27 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 90*h**2 - 16*h + 4. Let z(b) = 30*b**2 - 5*b + 1. Let w(o) = -2*j(o) + 7*z(o). What is the units digit of w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + i - 3*g = 1224, i - 413 = 2*g. Let z = i - 406. Let r(m) = -m**3 - 4*m**2 + 1. What is r(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k + 0*k + 4*k + (k + 0*k + 0*k)*(4 + 1 - 4) + k - 3*k + 0*k + (13*k - 1 + 1)*(-2 - 3 - 1) to the form w*k + b and give w.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119*k - 113*k = 48. Solve 13*t - k = 15*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.6404 to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2 + 6 + 8 - 3*f - 7 wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, y: 13}. Give prob of sequence xxx.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 668376014.\nAnswer: 2, 41, 857, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-2)*(-4)\/8. Suppose -3*p + 0*p = -2*p. What is the second biggest value in w, p, -3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of -4*u**7\/21 - 10*u**4\/3 - 7*u. What is the third derivative of v(p) wrt p?\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -a - 0*a. Is (144\/a)\/(2\/(-35)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49\/3*138\/(-161)*1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 + 163 + -159.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 60*4\/(-18)*(-7 + 4). Solve 10*m - 2*m - c = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2745046?\nAnswer: 2, 181, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 88*q - 93*q - 25. Let n(b) = b + 9. What is n(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22710?\nAnswer: 2, 3, 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 + 31*s - 123. What is the remainder when d(18) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4*m + 29372 = 0, 2*k + k - 4*m - 17604 = 0. Let f be k\/18 + (-20)\/90. Suppose f = 4*o - 2*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*t - 188 + 291 - 224)*(-1 + 1 + 9) to the form l + i*t and give i.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*o + o**4 + 2*o + 2*o**3 + 0*o + o to v*o + s*o**3 + a + p*o**4 + c*o**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*i**2 - 161*i**3 + 165*i**3 + 109*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 1 + 4 = 0. Let n(p) = -3*p + 1. Let h(m) = -4*m + 1. Let y(j) = b*n(j) - 4*h(j). What is the units digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m + 16*m - 4*h = 29070, 2*m - 19358 = -h. Does 47 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 172224 and 5616.\nAnswer: 516672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 + 2*i - 11. What are the prime factors of k(10)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**4 - 21*m**3 - 42*m**2 - 24*m.\nAnswer: -3*m*(m + 1)*(m + 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w = -4*w - 342. Suppose f + 67 = 6. Let q = f - -118. Calculate the greatest common divisor of q and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 27\/(-45) + (-146)\/(-10). Let r = l + 4. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136*s - 127*s = 4734. Let v = s + -513. Solve p - 3*u = v, -2*p - 5*u - 27 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 + 149*d + 4496. Give y(-107).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 21 = -3*b. Let l be (1 + b + -3)*1. Find the third derivative of -3*w**2 - 21*w**l + 16*w**5 - 2*w**2 wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2640101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1142 is divided by 283?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90)\/(-150))\/(72\/40)*(2 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -5*h + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18905.\nAnswer: 5, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 5*a - 426 - a - 424 + 849. Give b(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1424535?\nAnswer: 3, 5, 7, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 6846593.69 to the nearest 10000.\nAnswer: 6850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -355, -352, -347, -340, -331, -320?\n\"Answer: r**2 - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 2007.6927 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/34*4\/8.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 839506.5 weeks in milliseconds?\nAnswer: 507733531200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11172 - 32*b + 75*b - 44*b - 11127.\nAnswer: -b + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 137510.0507 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/3)*t*t**5)**(-44)\/((t*((t**3*t)\/t)\/t*t**(-1))\/((t*t\/((t*t**3)\/t))\/t*t\/t**(-2\/23))) assuming t is positive.\nAnswer: t**(-20441\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -194673552 divided by 372.\nAnswer: -523316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 17 = 4*m, 3*m - 3*g = m - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5 and -43\/625752.\nAnswer: 625752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 250737485 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4))\/(13\/(5 + -187))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 3*t - 4, 13 = t - d + 10. Solve -t*b + 5 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -576 = 151*f + 3199 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 4*c**3\/3 + 6196*c**2 + 7176468*c - 151618012\/3 = 0.\nAnswer: -2327, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 0 + 3*g + 2 - 8*g. Let x(s) = -3*s - 1. Let w be -1 + 1*-2 + 4. Let t be x(w). Let u(z) = -9*z + 3. What is t*u(i) + 7*k(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7671, -5434, -3181, -906, 1397, 3734, 6111?\nAnswer: 8534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iperpccrpcipccccicr. What is prob of picking 2 e and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*x**2 + x**3 - 3*x**2)*(-12 - 2*x + 87 + 66) to c*x**4 + r*x**3 + n + k*x + o*x**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (10\/(-4))\/(-5)*(-6792)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of 0*z**3 + 0*z + 1\/8*z**4 + 2*z**2 + 0. Let p(m) = -3*m**2. Give a(p(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2994 - -0.03213?\nAnswer: -1.26727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/364 and 25\/6.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 45 = 49, 3*c - 2*l = -14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -536.2 times -253?\nAnswer: 135658.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1679 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84c46 (base 14) to base 3.\nAnswer: 121021221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -415400 + 5?\nAnswer: -415351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 164\/24 + (-1)\/(-6). Suppose v = 4, 0*v = -4*j - 5*v + 16. Let a(d) = -4*d**3 + 2*d + 1. Let s be a(j). Solve -2*u + i - s = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 8 = 3*p, 19*p - 30 = -2*b + 14*p. Solve 8 + 12 = b*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-6) + (7 - 625\/(-15)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -51771 and -51809 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 458 - 187. Suppose 0 = -4*x + 259 - l. Which is the fourth biggest value?  (a) -0.2  (b) -4  (c) 5  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 2:15 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 67\/2 + -33. Let z = -98.6713 - -3.6713. Is r smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 462*w**2*y + w*y + 11*y wrt w?\nAnswer: 924*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-30)\/(-350)*-7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 169905731.\nAnswer: -16990573.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 141401\/10143 + -4093\/294. Find the common denominator of -79\/39 and a.\nAnswer: 37674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-2)*-2*35\/21. Let u(y) = -8*y + 42. Let o be u(a). Suppose m - 24 = 4*v, 114 = 5*m + o*v - 72. What is the remainder when 106 is divided by m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -154*x - 5617. What is the remainder when 1147 is divided by b(-38)?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = 2*t + 1496. Suppose -448 = -6*w + t. Suppose -5*b + w = 22. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -616 + 1679. Let o = t + -662. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/45*(-24948)\/1232.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297*r + 298*r = -5*q - 18, r = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, j: 1, u: 1, s: 3, c: 6, k: 4}. Give prob of sequence kcjs.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 3*j)*(4 - 3 + 1 - 7 + 2 + 4 + 1 + 5 - 5 + (-2 + 0 + 1)*(5 + 1 - 5) - 4 + 3 - 1 + 3 - 3 - 2 + (-3 + 1 + 6)*(2 - 5 + 0)).\nAnswer: -45*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 3, n + 2*v = 368 - 121. What are the prime factors of n?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (294\/392)\/((-6)\/52)*-2. Let x be (10\/1)\/((-6)\/(-39)). What is the greatest common divisor of f and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and (-28 - 12)*2\/(-4)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -51\/28?\nAnswer: -51\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 10:42 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/7))**(-49)*x**(2\/7)*x*x**(-2\/29)*x assuming x is positive.\nAnswer: x**(-2392\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*d**3*m**3 + 4*d**3*m**2 + 4*d**2*m + 16*m**3 - 2 wrt d?\nAnswer: -24*m**3 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -2*f**2\/9 + 134*f\/3 + 517484\/9 = 0.\nAnswer: -418, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (4550\/525)\/(2\/45*-3)*10\/(-5)\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2788.94l in millilitres?\nAnswer: 2788940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 38512 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 96\/7, -1?\nAnswer: 96\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 11.7353 - -20168878\nAnswer: 20168889.7353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {c: 5, x: 8}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sbossbsbob. Give prob of sequence osbs.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-30)\/12) + 1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 + 753*h.\nAnswer: 3*h*(h + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -12*l**2 + 18063*l - 4515 = 0.\nAnswer: 1\/4, 1505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.074 - -0.417. Let u = -2.509 - o. What is the second biggest value in u, -0.4, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -275*u - 125 - 425 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 9:21 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/15)\/(-4 - (-94)\/20)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12130579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -177 + 294264*c - 294147*c - 56. What is u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of 0*l - 1\/336*l**8 + 0*l**6 - 1\/15*l**5 + 0*l**7 + 0 + 6*l**2 + 0*l**4 + 0*l**3. What is the third derivative of k(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 112582699 and 662.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*u + 627 + 3*u**2 - 628 - 2*u**4 + 2*u + 3*u**2 to the form c*u**4 + f*u + d*u**2 + y + h*u**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 339?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of x**4\/12 + x**2 + 82*x. Let g(h) be the second derivative of h**3\/2 + h. What is g(p(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 218347875 to the nearest integer?\nAnswer: 14777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 87 - 2*q - 82 + q**2 + 3*q. Let w(u) = -u**2 - u - 6. What is 5*j(x) + 4*w(x)?\nAnswer: x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**2*p**2*r + 9576*d**2*p - 3*d**2*r - 1355*p**2*r + 2*p**2 + p*r wrt p?\nAnswer: 2*d**2*r - 2710*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -4, 42, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/8)\/((-1)\/2). Let u = 1 + y. Suppose 0 = u*w - 5*w + 21. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -3, -5, -8.7, -1324 in descending order.\nAnswer: 2, -2, -3, -5, -8.7, -1324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15899105?\nAnswer: 5, 19, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2511914004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 125 - (34 + (28 - 34 - 21))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20254, -19565, -17688, -14029, -7994, 1011, 13580, 30307?\nAnswer: 51786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 15\/7  (b) -3  (c) 2.2  (d) 1\/7  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -133 divided by 7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2\/51  (b) 4\/5  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 6:49 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 257119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 3*m + 18 = 0. Let z(q) = q**3 + 5*q**2 - 7*q + 4. Let i be z(m). Solve -i = p + 3*s, 3*s = 3*p - 0*s - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 9*m**2 - 7. Let i(g) = -2*g**3 - 19*g**2 - 15. Let k(n) = -3*i(n) + 7*l(n). Let o = 28149 - 28155. Give k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -25*f - 45. Let z be m(8). Let t = z + 108. Let b = -76 - t. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - 95?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 90547819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17088 = 169*t - 175*t. What are the prime factors of t?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/107547 and 47\/453?\nAnswer: 16239597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -r**3 - r**3 + 3*r**3 + 3*r**3 - 3*r**3 + 3*r**3 + (-r - 4*r**2 + r)*(4*r - 2*r + 0*r) to v*r**3 + w*r**2 + k*r + s and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(50)\/sqrt(2))\/sqrt(5) + sqrt(5) + 5)*6)**2 + -3.\nAnswer: 720*sqrt(5) + 1617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 267399677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 + 7*s + 2. Let y be b(-8). Let t(n) = -y*n - 18*n + 30*n - 2. Let i be t(6). Solve -i = c + 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 58683 - -6574. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21058 - -21406. Calculate the lowest common multiple of 56 and m.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37780827401\/888948 + -46121\/32924. Let m = 42498 - y. What is the common denominator of m and -79\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g*g\/((g**(-9)\/g)\/g))*g)\/(g**(1\/5)\/g))\/(g**(-8)*g\/((((g*g\/(g**(1\/21)*g*g*g)*g)\/g)\/g)\/g*g*g*g)) assuming g is positive.\nAnswer: g**(-236\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvjg when four letters picked without replacement from ggvgjigvjgjgvvgx.\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 - t**2 + 6*t + 13. What is z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 572 and 117?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 382 - 376. Suppose 5*q + 4 = 4*h + 11, -u = 3*h - 4*q. Calculate the smallest common multiple of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3203266 (base 7) to base 8\nAnswer: -1365230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 20, u - 4*u = -3*h - 156. Let j be u\/(-10) + 2\/(-5). Let y = 11 + j. Solve -4*x = -n - 2*n + y, 5*n + 2*x = 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/18434068, -0.5, 2\/11, 0.7 in increasing order.\nAnswer: -0.5, -3\/18434068, 2\/11, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 6, -49*v - 5*z - 1025 = -54*v. What is the remainder when v is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 (base 10) in base 16?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 7) + (-2 - (1 + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -434 greater than or equal to -436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29580 divided by -21.\nAnswer: 9860\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1580*b - 1580*b - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the second derivative of x**6\/360 + x**4\/6 + x**3\/6 - 4*x. Let u(j) be the second derivative of l(j). Differentiate u(t) wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1409 or -1431?\nAnswer: -1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70, -141, -208, -271?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7711 is divided by 1100?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 39 and 5803.37?\nAnswer: 226331.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -4*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 48. Let y be 3 - (6 - (0 + 3)). What are the prime factors of o(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 474 and 1261077?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/((-6)\/11) - 50\/75. Let t(q) = q**3 - 4*q**2 - g - 33*q + 4 + 30*q. Determine t(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4058918 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 1\/5  (c) 0.1  (d) 2  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -56 - -59. What is the closest to 3 in -0.4, 1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44883 = -67*q + 22526 + 22625 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -10101202021?\nAnswer: 10101202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1717756, -1717872, -1718066, -1718338, -1718688, -1719116, -1719622?\nAnswer: -1720206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 45*x**2 + 84*x - 77. Give b(-43).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5771985, -11543960, -17315937, -23087916?\n\"Answer: -r**2 - 5771972*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-22)\/33*(-21)\/2. Suppose -3*v + 16 - c = 0. Suppose 5*p = -5*d + 35, 3 + 4 = d - v*p. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 272 + -268. Put b, -2, 2, -11 in decreasing order.\nAnswer: b, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -896*p**2 + 5*p - 202. Let v(c) = 1793*c**2 - 11*c + 472. What is -7*j(t) - 3*v(t)?\nAnswer: 893*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q + 10. Let t be g(-5). Suppose -x = -19 - 38. Suppose -t*b + x = -2*b. Solve 2*s + 5*f = b, 4*f - 14 = -3*s + s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 95 + -287\/3. Let u = -3.96 + -0.04. Which is smaller: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -67 + 29 + 44 + 435*t + 16. List the prime factors of h(1).\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.05 - -3.05. Let o = 4 - d. What is the closest to o in 0.4, 4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 119016056, 119016059, 119016062, 119016065, 119016068, 119016071?\n\"Answer: 3*f + 119016053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29\/2231 + -62209\/151708. Find the common denominator of (-4)\/6 - 395\/510 and a.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 1 + 4*u**3 - u + 4*u**3 - 9*u**3 + u**2. Let z(x) = 3*x**3 - 5*x**2 + 4*x - 6. Give 6*c(l) + z(l).\nAnswer: -3*l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110001110 - 1010111101?\nAnswer: 11010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 521 divide 67634136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 6:54 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.3 and 208329.9129.\nAnswer: 208328.6129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.57 + 276682.93935.\nAnswer: 276685.50935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -225 + 229. Let w be q\/(6 - 4) - -1. Let g(k) = -k**3 + 4*k**2 - k - 1. Determine g(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1118801868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/2, 47, -365?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c - 20. Determine f(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 + -0.6. Let m = -2.028 - -1209.028. Let l = -1204 + m. Sort -3\/7, w, 3\/4, l in increasing order.\nAnswer: -3\/7, w, 3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o - 6 + 2 + 4. Let h be k(1). Suppose h*b = -3*i - 2*i + 155, -3*i + 4*b + 128 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1286 = -8*o + 2150. Suppose 0 = -5*q + 4*q + 36. Calculate the remainder when o is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 4 + 0 - 21*t to y*t + p and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/3)\/(400\/(-32))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 899 a factor of 23441425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b - 3. Let s(o) = o**3 + 6*o**2 + 2*o - 7. Let g be s(-5). Let q be i(g). Suppose 0 = 5*x + 10, -5*z - 2*x + 30 = 3*x. Solve -q*f = -z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 4:03 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41*s + 6*s + 9*s)*(-s**4 + 3*s**2 - 3*s**2).\nAnswer: -56*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 385 = 5*u, 15*u = 2*l + 11*u + 200. Let h = l - -93. Solve -3\/4 + 7\/4*n + 1\/4*n**h - 5\/4*n**2 = 0 for n.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h**2\/3 - 1447843*h = 0. Calculate h.\nAnswer: 0, 4343529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -99 - 60*k + 48 + 51 + (-53*k + 12*k + 19*k)*(-2 + 2 + 1) - 2*k + 2*k - 2*k + 2 - 2 + 2*k + (1 - 1 + 1)*(-3*k + 3*k - 2*k) + 2*k - 5*k + 2*k.\nAnswer: -85*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 23 = 6*f - 17, f + 2 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1081 + 32*u - u**2 + 5*u**2 - 8401 + u**3 + 68*u wrt u.\nAnswer: 3*u**2 + 8*u + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(224)\/(-2*sqrt(567) - sqrt(567)))**2*-3.\nAnswer: -32\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from {w: 1, y: 2, p: 2, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4167 times -11270\nAnswer: 46962090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*a - 3 + 3 = 160*a. Is -1\/2332 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.91 times -86\nAnswer: 250.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19878916, 19878941, 19878966, 19878991, 19879016?\nAnswer: 19879041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/1154349 and -31\/102711?\nAnswer: 77341383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1512 a factor of 1756408493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from hhkjbkhhkkkbhhhkwkkl.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*b**2 - 7930*b - 102408.\nAnswer: 2*(b - 1004)*(4*b + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 290, 1919, 6354, 15005, 29282?\nAnswer: 50595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 5*h = -88, -439*r + 443*r - 17*h = -328 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cryxxcvcxxxtcryxx. What is prob of picking 2 x, 1 t, and 1 r?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -14*x**3\/5 - 2286*x**2\/5 + 1238768*x\/5 + 70824 = 0?\nAnswer: -390, -2\/7, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2644 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 3*m**2 - 6*m - 6. Let v be l(-3). Suppose v = -8*o + 44. Suppose 5*s = 3*s + o. Solve f - s = -5*w + 5, 3*f + 3*w - 9 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*r**3 - 27*r**3 - 25*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccylclcooclccy. What is prob of sequence ycy?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 127 + 111 = v, -5*v + z = 88 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/6780 and -53\/20?\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000619869518 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(3*(sqrt(84) - (sqrt(84) + 2*-3*sqrt(84) + sqrt(84)))\/(-2*sqrt(1452)))**2.\nAnswer: 1575\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -s + 1 - 0, 4*s - 3*k - 9 = 0. What is the greatest common factor of s and 336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (32 - 27) + (258 - 0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -482, -497, -518, -551, -602?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*z - 93*z = -2*o - 2, 4*o + 18 = 5*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5282*y = -172364 - 303016 for y.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 207*g - 207*g + 12*g**3 + (2 - 3*g - 2)*(0*g**2 - 9*g**2 + 2*g**2) + 5*g**3 - 4*g**3 - 2*g**3.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 160*j + 84*j**2 - 89*j**2 + 20*j - 210 - 1410.\nAnswer: -5*(j - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-4)*a**(-6)*a*a*a*a*a\/((a\/(a\/(a**(2\/7)*a)))\/a)*a*a\/((a\/(a*a**(2\/15)))\/a)*a*(a**(-2\/3)\/a)**(-28\/9)*a*a*a*a\/a**6*a**(2\/5) assuming a is positive.\nAnswer: a**(2299\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 836 - 827. Suppose -l*c = -4154 - 1201. Are c and 595 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24947*n**2 + 24943*n**2 - 74845*n**2 + 24942*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 3*d = -28*c + 29*c - 114, -2*d = -7*c + 62 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104 + 269*q**3 + 226*q**3 - 493*q**3.\nAnswer: 2*q**3 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-6)*(-26)\/(-13).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 8. Let s = -1111 + 1115. Let f be 10*(v + -2)\/s. What is the second biggest value in f, -0.3, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-42 - (-9027)\/204)*7\/(-21)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-112)\/18 + (-32)\/(-144). Let k be 1*-1 + d\/(-18). Which is the smallest value?  (a) 0  (b) k  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 45*k**2 + 169*k + 34. Calculate the lowest common multiple of 441 and c(-40).\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 927 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2\/3, 1\/2, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 409 is divided by 136.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = z + 2. Let h be ((-10)\/z)\/(2\/126). Let r be (11\/(-4) + 2)*-20. Calculate the highest common factor of h and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of 2*m**7\/21 + m**4\/3 + m**2 - 58*m. Find the third derivative of g(k) wrt k.\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 95768229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-612)\/24)\/(-17) + (-30)\/(-4). Solve 3*f = -p + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -10 + (0 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2059798272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 59697 and 13497?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 - n + 6. Let m be y(13). Let i be m\/56 - ((-30)\/14 - -2). Let o(d) = d**2 + 2*d - 1. Determine o(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = -2*l + l. Let v = l + 155. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 22\/12)\/(3575\/(-75) + 51)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216 is divided by 119?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30 - (-10 + -13)) + -36.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -w**6\/720 - w**5\/720 + w**4\/72 - 7*w**3\/6 + 9*w**2. Let i(c) be the first derivative of t(c). Factor i(d).\nAnswer: -(d + 1)*(3*d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xbbiifixxffbifffi. What is prob of picking 1 i and 1 b?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 9:42 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 5:34 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 2*s**5 + 3978*s**4 + 27776*s**3 + 55512*s**2 + 31712*s = 0.\nAnswer: -1982, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2354 (base 11) to base 2.\nAnswer: -110000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -97719435*a**3*f + 19*a**3 - 2*a**2 + 12190*a + 197 wrt f.\nAnswer: -97719435*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1521209 - 1521141.0027. Let f = -67.4 - 0.6. Let j = o + f. What is j rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from hhhhhyhyyyhyy.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -353 + 1225 - 290 - 289 - 293 - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1702.4 + -1648. What is r rounded to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/6)\/(15*8\/1008)*(-76)\/(-380)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -514 - -369. Let x = -56 - l. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of o**5\/20 - o**4\/12 - o**3\/6 + o**2. List the prime factors of m(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*a**2 - 2227*a + 2227*a.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 19810 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 4:30 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -d**6\/120 - d**5\/10 + d**3\/2 - d**2. Suppose 0*z - z + 35 = -b, -2*z = 5*b + 189. Let t = b + 31. What is p(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4904896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -755*w + 17075. Determine h(23).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 4*a**3 + a - 1. Let o be t(1). Suppose 6*f - 3*f + 5*n = -119, 2*n = -2*f - 78. Let i = -23 - f. Solve r = 3*q + 14, -5*r + i = -0*q - o*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + 1 + (28\/2)\/2. Let d be ((-13)\/39)\/((-1)\/y). Suppose 0 = -3*m - d*m + 30. Solve 0 = -u - u + m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1595 is divided by 201.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-3)*(-48944)\/(-38640).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190813 is divided by 356.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - 14*h**2 - 25*h - 6. Determine x(-10).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-15)\/20)\/(1\/(-8)). Let l = 3 - o. Let y(w) = -w**2 - w + 2. Determine y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14)\/(2*sqrt(7))*-3 + 3 + sqrt(72) + 0)**2 + 5)*-1.\nAnswer: -109\/2 - 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.65  (b) 1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of -1\/2*z**3 + 0 + 0*z**5 + 0*z**4 - 2*z**2 + 0*z - 1\/30*z**6. Find the first derivative of q(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 times 0.047?\nAnswer: -1.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + r**2 + 5*r - 7. Let k be i(4). Let l = k - -48. Calculate the remainder when 50 + 0\/1 + 0 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.81 + -6269.057050698.\nAnswer: -6268.247050698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/9*(-12)\/40?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 203212 (base 7) in base 2?\nAnswer: 1000011110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22830980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -79287.9836 - -79198. Let l = u - 0.0164. What is the third smallest value in 0.3, -2, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -71 + 0*b**2 + 70 - 2*b**2. Determine g(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 - 4*z + 3. Let p = -4 - -7. Let i be j(p). Let l be i\/(2 + -2 + 1). Solve -y - 3 + 5 = l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100110130 (base 4) in base 7?\nAnswer: 2540102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7.794912 hours?\nAnswer: 28061683.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from huzzzuzuuzhuuzuuuzuu.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - 6212?\nAnswer: -6206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 9 = -2*g, 4*g = -u - 4*u - 9. Let f = -3 - g. Suppose f*h - 4*h + 9 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 3*o**2 - 84619*o - 507786. Determine y(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 + 21*j + 48. Give d(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-5 + 2) + 19. Let q be o\/(-56) - 2\/8. Let g = -0.26 + -0.04. Which is the closest to -0.1?  (a) q  (b) g  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 - -5. Let x be 2*(-5)\/(f\/(-63)). Calculate the common denominator of (-3 - x)\/((-66)\/4) and -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1793722 and 328538.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -50 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 23 = 2*x, -3*x + 26 + 1 = 3*o. Suppose -6*d + x = -8*d, -d - 660 = -2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 3, -12, -27, -42?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.045861 rounded to three decimal places?\nAnswer: 1.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16 - -21)*((-166)\/(-170) + -1). Let d = 4 + -4. Suppose -5*w - 9 - 1 = d. Which is the closest to -2?  (a) k  (b) 2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-135)\/18 - (-1)\/(-2). List the prime factors of 151\/5 - x\/10.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a + 6*a = -47000. Suppose -24*y + 16*y = -a. What are the prime factors of y?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/14 + (-46)\/14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -108*d + 24. Let k(y) = y + 4. Let a(x) = 6*k(x) - m(x). Let h(c) = -3*c**2. Give h(a(w)).\nAnswer: -38988*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -222112110 + 2?\nAnswer: -222112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-54240)\/(-168) - 13\/(-91). Let s(h) = 162*h. Let y be s(2). Which is greater: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4919 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1456773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-2 + -5 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 4*h. Let t(c) = -5*c + 216725. What is t(o(x))?\nAnswer: -20*x + 216725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of g**5\/4 + g**4\/6 + g**3\/3 + g**2. Let x be b(-4). What is the units digit of x\/10 - 10\/(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -332*n = -365*n + 16830. What is the smallest common multiple of n and 408?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - -1 - -4 - (0 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-334 + 295*w - 573*w + 274*w)*(9 - 6 + 11 + 3 - 1 - 3 + 3 - 3 - 2 + (0 + 1 + 1)*(0 + 0 + 1)) to the form f + v*w and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 7:18 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-6*6*((-3*(sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77) + 3*sqrt(77))))))\/sqrt(7))**2.\nAnswer: 96228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 - 4*k**2 - 107*k + 2. Let v be t(0). Solve 9*y = -2*r - 4*y + 62, v*y = r + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 2*x + 6. Suppose -4*o = -3*r + 15, 4*o + 2*r - 6*r = -16. Let s = o + x. What is the remainder when 7 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 99 and 1155.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*l**2\/9 + 1820429578*l\/9 + 455107394\/9 = 0 for l.\nAnswer: -227553697, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 6*p**2 - 1. Let a(q) = 10*q**2 - 2*q - 2. Let k(c) = a(c) - 2*w(c). Give k(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25473.\nAnswer: 3, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13\/4 - -73\/20. Which is the second biggest value?  (a) r  (b) -3\/7  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 + 4*p**2 + 2*p - 4. Let z be q(-2). Suppose -g - 3*g - 152 = 0. Let f be 6\/(-12) + g\/(-4). What is the smallest value in -2, z, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/40*-2*2632\/(-94)*5\/(-140).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -74640 divided by -12\nAnswer: 6220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 91313 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -20, -0.27, -4\/3, 0.4, 0.0577, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12310\/55 - (-6)\/33. Calculate the highest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hfhhfho. Give prob of picking 1 f, 1 o, and 2 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1380 divided by -460?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -10, 3\/5, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1060868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.504431 minutes in hours?\nAnswer: 0.12507385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.53111 litres to millilitres.\nAnswer: 4531.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 1:59 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/76 and 113\/3876?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 1. Let u(o) = -o + 1. Let k(l) = 3*l - 24. Let v(p) = -k(p) - 5*u(p). Let c be v(-9). Sort n, c, -2.\nAnswer: -2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -153 - -158. Let q be (0*(-4)\/(-8))\/1. Let b = 0.11 - 4.11. What is the third biggest value in p, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 659.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.43654 + -1.56346. What is the closest to -2\/3 in n, 2\/7, 1, -2.101?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9182 - 9183. Sort -1\/8, o, 0, 2, 1 in descending order.\nAnswer: 2, 1, 0, -1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2 = f + 7, 0 = 3*b - 3*f - 9. Solve 0 = 3*o - 3*x - 2*x + 29, -b*x = -5*o - 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) + 4)*6*-3 + (sqrt(45)\/sqrt(81) + 2)*-5)**2.\nAnswer: 18532*sqrt(5)\/3 + 124361\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 101179840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - 56) + 96 - 45.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 181428 and -1181523.\nAnswer: -1000095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/(-66) + (-620)\/220. Sort 5, 2, q in decreasing order.\nAnswer: 5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jsq when three letters picked without replacement from {s: 3, q: 2, j: 2, f: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = m + 3*z + 32, -254 = -4*m - 3*z. Let d(a) = a**3 - a**2 + a + 13. Let u = 0 + 0. Let s be d(u). What is the greatest common divisor of m and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/2 + 546*o - 149058.\nAnswer: -(o - 546)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117 - 433 = -10*n. What is the remainder when 4177 is divided by n?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.02, -4, 60740?\nAnswer: 60740","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -319\/4 - -80. Let u(k) be the first derivative of -k - m*k**4 - 4 + k**3 + 5\/2*k**2. Give u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2 - n. Let o(w) = -4*w**2 + 3*w. Let d(a) = o(a) + 3*u(a). Let h(x) = -2 - 2 + 7*x**2 + 4. Calculate d(h(k)).\nAnswer: 98*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 4*o - 28 = 0. Calculate the remainder when 194 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -1703*x**6\/15 + 2*x**3\/3 + 248*x**2 + 3403*x. Find the second derivative of y(u) wrt u.\nAnswer: -40872*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 - 13.81. Let l = -0.06 + m. What is l rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 63\/28 - (-9)\/12. Suppose 16 = 6*r - 4*r. Let s = r - q. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -0.5  (b) -47  (c) 1  (d) 3\/2  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 - 1)*(0 - 3*o + 0)*(28 + 27 - 20) + (2 + 3 - 3)*(-4*o + 2*o + o) to j + m*o and give m.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + (3 + 0 - -4) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -7 - -5 - 3346\/(-96). Let d = u + -193\/6. What is the common denominator of d and 51\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 66\/56 + 6\/(-8). Let f be ((-3)\/(-100))\/((-18)\/(-256)). Let a = 6\/25 + f. What is the closest to -8 in a, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + s = -6*q + 866996, 3*s + 578012 = -2*q. What is q rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 4*j + 24 = 0, 0 = -2*z + 4*z - 3*j - 13. Is z at most 3\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-4\/7))**(-3\/20) assuming f is positive.\nAnswer: f**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3135433 = -76*h + 3130949 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -450*q + 449*q = -39. Calculate the remainder when 66 is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + 0 + (1 - -1). Suppose 262*o - 16564 + 1788 - 44960 = 0. Suppose -n - q*v = -o, 0*n - 3*n + 2*v = -640. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4\/4 + 133365*u**3\/2 - 400101*u**2 + 800206*u - 533472.\nAnswer: (u - 2)**3*(u + 266736)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - j - 14 = -4*u, j = -3*u + 30. Calculate the remainder when 31 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -68651*w + 343251. Determine z(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1900*o - 2495*o - 2 + 4 to the form n*o + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -h**4\/8 - 53*h**3\/8 + 1191*h**2\/8 + 53*h\/8 - 595\/4 = 0.\nAnswer: -70, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 363 and 429.\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (14\/(-4))\/(2\/(-12)). Suppose g - d = -5. Suppose -2*l + 124 = 2*l. What is the remainder when l is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (132*t - 132*t + 62*t**3)*(0*t - 2*t - 16 + 5).\nAnswer: -124*t**4 - 682*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1*(2 + sqrt(17)) + 4 + sqrt(17) + 3*sqrt(17)).\nAnswer: 36 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 10120?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5257076 and 1956?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.226917 and 4.\nAnswer: 3.773083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*a**4 - 2*a**3 - 487066*a + 50*a**2 + 487066*a wrt a?\nAnswer: 720*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -223147, -223081, -223015, -222949, -222883, -222817?\n\"Answer: 66*o - 223213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 325 (base 6) to base 11\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + 44. Suppose -7 = 5*d - i. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -342 - 1134 + 401 - 178*f wrt f.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161774 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 69 + -79. Let g = 26 + a. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1461031 + 2?\nAnswer: 1461033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19293 and 725523.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 4*a - 643, 0 = a + 4*s - 62 - 110. Suppose 38*l + 57*l - 3584 = 39*l. What is the greatest common divisor of l and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.1 - 2.6. Let v = a - 1.46. Let x = v - -0.16. Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 - t - 4. Let x be b(3). Let k be (1\/x)\/(1\/28). Let i be (-4904)\/k + 6\/21. Round i to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -100*f + 105*f + w - 22, 4*w + 32 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 55 + -22. What is the second derivative of l + 7*c - 5*c**4 - 33 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**3 - g**2 - 2*g + 1. Let c be t(-3). Let y = c + 60. Solve y*d + d = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -59*a + 2763. Calculate d(45).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 9 and 203377396675.201?\nAnswer: 203377396666.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 6:42 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4166319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**3 + 13*t**2 - 12*t + 17. Let z be m(8). Let l = z + 485. What are the prime factors of l?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 3*3*sqrt(832))**2.\nAnswer: -432*sqrt(13) + 67401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42300, 42299, 42298?\nAnswer: 42297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 7009 (base 10) to base 5\nAnswer: 211014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 814606004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of 67*r**7\/42 + r**6\/15 + 5*r**3\/2 - 5*r**2\/2 - 19*r + 1. What is the second derivative of z(l) wrt l?\nAnswer: 1340*l**3 + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -555 + 389. Let d = -20.76825345 - -186.76823035. Let y = d + u. Round y to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2845 + 1815.7155. Let c = 1815.9998413 - z. Round c to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 175\/19, -0.09, -2, -1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(-1 - (-12)\/10). Let q = -66 - -61. Does s = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.6 - -2. Let f be 4*3*(-30)\/60 - -4. Which is the closest to 2?  (a) p  (b) -1.3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -289 - -2309\/8. Let m = 72 + -91. Let r = -19.4 - m. What is the second biggest value in r, -1\/4, h, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*l - 1)*(141*l - 7 - 75*l - 71*l).\nAnswer: 10*l**2 + 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*q - 402*q + 42*q = 6314 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 28904, 56059, 81466, 105125?\n\"Answer: -874*d**2 + 29777*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34185641.\nAnswer: 7, 4883663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 2*k + 96. What is the remainder when (-16525)\/(-75)*1 + 8\/(-6) is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 9, m: 4, p: 1, r: 1, c: 2}. Give prob of sequence mpml.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/486 and -89\/5638734?\nAnswer: 16916202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from wwwwwawwaawwww.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7742 divided by 79?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - 3*d - 6. Let a be y(-3). Solve -4*x = -5*w + 2*w + 7, 2*w - a = -x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 13*z**2 + 2*z - 1. Let m(d) = -d**2 + 2*d. Let g be m(2). Suppose 2*k = -o + 2, g = -o - 3*o. Is t(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 271, -27, 3, -1.\nAnswer: -27, -1, 3, 21, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 51 + 399. Is r a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2c442 (base 13) to base 2.\nAnswer: -10100100011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -263be - 2eb?\nAnswer: -266a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 460 - 318. Suppose s = 5*p - 417, -4*p - n + 493 = 5*s. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 plus -5154383?\nAnswer: -5154386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.056498l?\nAnswer: 9056.498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**2 - 2*q**2 + q**2)*(6*q + 0*q - 3*q) + (-2 - q + 2)*(0*q**2 + 5*q**2 - 3*q**2) - 2*q**3 + 2*q**3 - q**3 - 5*q**2 + 5*q**2 + 8*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*k - 13*k + m = 5 - 3, k - 14 = 3*k + 4*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, m: 2, n: 4, j: 2}. What is prob of picking 1 t and 1 n?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2725054 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 39611 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*s + 123 = 0. Let c = s + -17. Calculate the remainder when 47 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14464521 (base 7) in base 11?\nAnswer: -860957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17277246 (base 9) to base 10.\nAnswer: 8672388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(-4\/5)\/w)\/w**(-3\/5))\/((w**(1\/4)*w)\/w*w**(1\/4)))\/(w**(-1\/3)\/(w\/(w\/(w**(-9)\/w*w))))**(-1\/15) assuming w is positive.\nAnswer: w**(-11\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 7\/339?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 7*j = 20. Solve -x = 7 - j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 - 323. Let t(k) = -5*k**2. Give t(m(x)).\nAnswer: -5*x**4 + 3230*x**2 - 521645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 - 3)*(26 + 25 - 48)*(-100*u - 6 - 115*u + 193*u) in the form n*u + s and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - 8. Let z be 6\/w - 12\/(-5). Suppose -z*i - 38 = -4*v, -v + 8 + 6 = 4*i. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 4*i - 11. Suppose 5*g + 12 = -3*h, -i*g + 4 = -2*h + h. Is 2\/27 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 135 and 1755?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -1001010010?\nAnswer: -1001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 116*q**2 - 77*q + 15. Calculate the remainder when x(2) is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 4*q - 18. Let h be 14034*6\/108 + (-1)\/q. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*g**2 - 8076*g - 145*g**2 - 5*g**2 - 8079*g + 16155*g.\nAnswer: -142*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b - 1 + 5 - 8. Give l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 667436000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 + 34. Let w = 27 + j. Solve -w + 1 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32 - -36. Suppose -10 = -5*y, -2*j + y = 3*j - 33. Sort 0, m, j, -2 in decreasing order.\nAnswer: j, m, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/3*(-6 - -3). Let f(n) = -28*n. Let r be f(u). Suppose -16 = a - 5*o, -o + r = 5*a + o. Solve 5*d - 20 = 2*y, a*d - 16 = y + 2*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of -c**3\/3 + 7*c**2\/2 - 4*c - 9887. What is z(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (17 - (-7 - -5)\/(-2)) + -4. Let w be -45*(6\/(-4) - 198\/s). Calculate the highest common factor of w and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqxqqqkqqqqqkkx. Give prob of sequence xx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 8*-61\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 24*c + 33690 = 2*c. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 6) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, 0.23, 1.1, 2, -11, -13?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -3\/103, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2262555.399931 + -2262557. Let m = -1.6 - r. What is m rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = -2*g - 8. Let b = 20.9 - -12.1. Let w = -34 + b. What is the fourth biggest value in 5, w, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of 1\/3*g**6 + 0*g + 0*g**2 - 2 + 1\/3*g**3 + 0*g**5 + 0*g**4. What is the third derivative of m(y) wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 970.0094ug in tonnes?\nAnswer: 0.0000000009700094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/7 in 23, 3, 9, 118?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.5 - 1. Let b = -0.3 - -1.3. What is the nearest to 2 in b, s, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6408.517kg to nanograms.\nAnswer: 6408517000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/((-3 + 4)*1). Solve 0*b - 40 = 3*b + 5*x, k = 3*b - 3*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -71 times -46?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r + 15 = 12*r. Suppose 2*a = a + n - r, 5*n = 2*a + 16. Suppose 2*v + 7 = -3*q - 9, 5*q + 15 = -v. Is q at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 182*f + 14. Let h(t) = -123*t - 10. What is -5*d(b) - 8*h(b)?\nAnswer: 74*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 - 18.4. Let p = y - -8.4. Which is the closest to -2\/7?  (a) p  (b) 1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16*(-25)\/(-3800) + (462\/(-380))\/(-3).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.0199754 - 1.02. What is v rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-24)\/(-26))\/6)\/((-518)\/1036).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 + 2*m**2. Let y(d) = -d**3 - 2*d**2 + d + 1. Let j be y(-2). Let k be i(j). What is the greatest common divisor of k and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.773, 7\/3, -0.5, -5 in increasing order.\nAnswer: -5, -0.773, -0.5, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002955457 to 5 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -370?  (a) 3  (b) -3\/4  (c) -0.2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/6 - (-707)\/(-399) - 182\/(-546).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.121 + 0.879. What is the nearest to -5 in -3, 0.034, g, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -2*g**3\/3 - 4*g. Let k(n) = -3*n**2. Calculate k(p(m)).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 + m**2 + 0*m**2)*(-10*m + 8*m + 0*m) + (-2*m**2 + 3*m**2 + 0*m**2)*(-m - 7 + 7).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -321*c + 98564 + 131233 + 57633 = 10734*c for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 16*s**2 - 2*s - 2. Let b(p) = -15*p**2 + 2*p + 2. Calculate -5*b(d) - 4*g(d).\nAnswer: 11*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -25971*x - 181795. Determine y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 647781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g + 11*g**2 - 2 + 0 + 1 - 2*g. Let k(n) = -n**3 + 6*n**2 - 1. Let w be k(6). Calculate the remainder when 21 is divided by b(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 + w**2 - 2*w + 332. Let l be d(0). Suppose 0 = p - 3*a - 115, -p + 4*p + 4*a = l. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-9 + (-243)\/(-45))*(-70)\/4. Suppose 7 - 73*a**2 + g*a**2 - 7 + a**3 = 0. What is a?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2. Let z(v) = v**3 - 289. Let r be z(0). Let h = r - -286. Let x(n) = -5*n**2. Determine h*l(k) - x(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1765 = 13*c - 4319. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -55*b**2 + 157965*b - 22045250 = 0?\nAnswer: 1618\/11, 2725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-30) + (-58)\/204?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9837\/7 - 1405. Let t = -0.2 + 5.4. Let u = t + -5. What is the smallest value in 0, -2\/17, u, n?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.09945 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24263*n**4 + 496*n**3 + 4*n**2 + 45947001*n?\nAnswer: -291156*n**2 + 2976*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3534002 (base 8) to base 16.\nAnswer: eb802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 5*g - 2 = 0, 47*m + g - 22 = 44*m. Find the third derivative of -205*i**2 - 96*i**2 - 49*i**2 - 311*i**3 + m*i**2 + 49*i**2 wrt i.\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 3*m + m)*(455 - 423 + 533 + 240 + 394).\nAnswer: -1199*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -7\/230123?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -5*l**3 + 2*l. Calculate f(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -817 + 824. Sort -2, 5, p in decreasing order.\nAnswer: p, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bfovfobfdoobffbdf. Give prob of sequence bffd.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kjf when three letters picked without replacement from {y: 6, j: 4, k: 5, e: 1, f: 4}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 2, -g - 3 + 4 = u. Let q = 33 - 33. Suppose q = k - 5*k. Solve 0 = -p + u - k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, -1\/2, 2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 3 + 8 - 5*i - 4*i. Let r be f(1). Which is the second smallest value?  (a) 5  (b) r  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 4*q - 3978, 11*f = 12*f - 5*q - 1983. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 407 divided by 20484.\nAnswer: 407\/20484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 - 6*j. Suppose -5*v + 23 = -3*g - 3, 3*v = 5*g + 6. What is the units digit of q(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-20)\/8*4\/(-2). Let b = -127 - -129. Suppose -161 = -a*g - b*f + 24, 3*g + 5*f - 130 = 0. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4936 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1568 and 882?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -332*m - 196*m - 5887 = -16447 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -36\/11 + 155\/44. Determine k so that 0 + l*k**4 + 0*k + 1\/4*k**2 - 1\/2*k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.8 and -0.8017?\nAnswer: -0.64136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -2 + (-1 - 1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 - 1. Let s be r(-2). Let j = -4 - -4. Let l be (j - (3 + -3))*-1. Solve 4*v = -s*c - 0*v - 19, 4*c + v + 21 = l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151 + 1 + -3 + -1432 + 1422?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 7*u**2 + 3*u + 31. Let y(t) = -4*t**2 - 2*t - 16. Give -3*o(q) - 5*y(q).\nAnswer: -q**2 + q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9428952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-8))\/(((-6727)\/1116)\/(-217)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21 - 4*m**2 + 2*m - m**2 + 47 - 28 to the form x*m + c + k*m**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 3*b - 48 = 0, 3*s = -2*s - 3*b + 80. Suppose 15*n = 19*n - s. Let z be (-405992)\/(-14) - n\/(-7). Round z to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4109918 + 2*r**3 + 2*r**2 + 2054960 + 2054958.\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*y + 40*y = -4*t + 26401, -26405 = -3*y - 2*t. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -3*t + 21. Let u(w) = -7*w + 63. Let p(r) = 8*d(r) - 3*u(r). Determine p(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 299*b + 3019. What is the remainder when 1971 is divided by d(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175177686.\nAnswer: 2, 3, 211, 138371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of -f**4\/12 + 11*f**3\/6 - 5*f**2 - 13*f. Let d be i(4). What is d rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -f**2\/4 + 19*f\/2 - 361\/4 = 0. What is f?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 1 = k, -3*w - 5*k = -8*w + 25. Let f = -6 - -2. Sort f, w, 5 in ascending order.\nAnswer: f, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bqbqbbbbbqqbbqbqbb. Give prob of sequence qqq.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - 2*z + 26 = 0, -12*f + 13*f = -3*z - 17 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11504.8584 rounded to 0 decimal places?\nAnswer: -11505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1201019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (75\/30)\/(1\/(-238)). Let y be (0 - 1\/(-2))\/(k\/(-6120)). Factor 0 - y*p - 4\/7*p**5 + 8\/7*p**3 - 48\/7*p**2 + 16\/7*p**4.\nAnswer: -4*p*(p - 3)**2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 6 - (-5 - (-8 - 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 46222, 46277, 46332?\n\"Answer: 55*s + 46167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2986752 is divided by 1829?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 165, 1077, 2725, 5103, 8205, 12025, 16557?\n\"Answer: -z**3 + 374*z**2 - 203*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009961 rounded to seven dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 0. Suppose -q*o + 1152 = -4*p, 2310 = 4*o + p - 6*p. Round o to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48 - 76) + (6 - -6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 457\/263?\nAnswer: 457\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 2*y**5\/17 - 196*y**4\/17 + 1112*y**3\/17 - 724*y**2\/17 - 1114*y\/17 + 920\/17 = 0.\nAnswer: -1, 1, 5, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 249*f - 5. Let i(l) = -130*l + 2. What is -5*i(d) - 3*k(d)?\nAnswer: -97*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1309652 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = v - 2. Let a be 3\/(v - 2) + -1. Suppose a = 5*y - 24 - 36. Solve 4 - 1 = -s, -5*s - y = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13468.99996068 + -13469. What is f rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 4*r**2 - r - 2. Let a be i(3). Let g = -3 - a. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y - 5. Let c be p(3). Solve -5 = 2*b - 5*l, 0*b - 4*b - 4 = -c*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -7786*r**2 - 9*r. Let o(n) = 5880376*n**2 + 6797*n. Let b(x) = 6797*h(x) + 9*o(x). Let m(g) = -2*g. Give b(m(k)).\nAnswer: 7768*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 4*l**2. Suppose -5*v + 66373 = 2*t, 6*t - 3*t = 3*v - 39828. Let i(q) = v + 11*q - 13275. Give i(k(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7408 = 2*d + 4*f, -4*d + 18465 = d - f. Is d 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 7022008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -33*j**2 + j. Let o(f) = -133*f**2 + 4*f. Give -22*g(v) + 6*o(v).\nAnswer: -72*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -996 - -126490\/127. Let s = -2090700910\/889 + 2351745. Let j = c + s. What is the common denominator of 89\/15 and j?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2349721 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**5\/5 + 12*k**4 + 536*k**3\/5 + 1488*k**2\/5 + 256*k = 0. Calculate k.\nAnswer: -16, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 18\/22*20\/(-6). Let o(g) = -3*g**2 + 8*g + 8. Let i be o(5). Let q = -29 - i. Which is greater: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 303772639 is divided by 2636?\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 83 (base 16) to base 15\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2321 - -3?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of -27*l**2\/2 + 98*l - 123. Does 20 divide s(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 54 = 4*a, 3*x - 72 = -5*a + 5*x. Calculate the common denominator of ((-153)\/(-36) - 4)\/(a\/(-132)) and 57\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l + 30*x - 25*x + 9, 0 = 2*l + 5*x + 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3709622015 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2383  (b) 0.5  (c) 2\/7  (d) -108  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/264724 and 53\/119068.\nAnswer: 27266572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2258 * 0.32.\nAnswer: -0.072256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2779*v**3 - 40*v**2 - 71799*v wrt v?\nAnswer: 16674*v - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 183.03626 - 183.2. Round n to three decimal places.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 184\/12 + 1\/(-3). Let r = 21 - p. Let l(j) = -j**2 + 8*j - 4. Determine l(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 4*z + 13 = 0, -7 = 4*s + 5*z - 1. Let x = -17\/3 + 5. Which is the nearest to s?  (a) -4  (b) x  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 + 39.0203. Let m = l - -110.0797. Let t = -116 + m. What is t rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 252 and 70164?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 370825 is divided by 133?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 14. Suppose -k - 4*b + 11 = -3*b, 4*b = -2*k + 30. Calculate the smallest common multiple of k and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - 5. Let g = 4.85 - -0.15. Let m = 0.3 - -0.1. Sort a, g, m in increasing order.\nAnswer: m, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 82189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 4*r + 230, -2*p + 3*r + 83 = 14. What is the remainder when 186 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 20 = -y, -y + 7 = h. Let n(r) = -4*r + 4 - r**2 + 0*r**2 + 0 - h*r. Let c be n(-5). What is the highest common factor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -2*k - 4, -4*g + 0*g = 2*k + 16. Let u(m) = m**3 - 7*m**2 + 6*m + 8. Let x be u(6). Suppose c + k*c = x. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -467\/6 + 78. Let x(i) be the second derivative of 1\/24*i**4 - m*i**3 + 1\/4*i**2 - 3*i + 0. Solve x(c) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 783 and 17708357.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of -b**7\/126 + 9*b**5\/10 - 6*b**4 + 27*b**3\/2 - 6*b - 62. Suppose k(h) = 0. Calculate h.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 6:48 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9795*a - 142466 = 650929 for a.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -11881?\nAnswer: 11881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -16. Let r be 159\/j - 7\/(-14). What is the greatest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 1 = 7. Suppose -k - p = -8. Suppose 0*u + k*u = 440. What is the highest common factor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -232 divided by -16.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000015220486 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4827240 by -1656.\nAnswer: -2915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jwjj when four letters picked without replacement from {g: 4, w: 1, j: 4, u: 2, v: 6}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11.14093 - -11.16. Round a to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 5:09 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/211588 and 3\/14092?\nAnswer: 57340348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 1\/19  (c) 8  (d) -36  (e) 4\/9  (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2*o + 6 = -4*o, 5*z + 3*o + 9 = 0. Suppose 2*d + z*r + 3 = -r, -3*r - 9 = -5*d. Suppose d = 2*x - 0*x. Is x <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + y**2 + (3*y - y - 4*y)*(-3*y + 3*y - 2*y) + ((5 + 0 - 4)*(-68 + 29 - 40) + 2 - 2 + 2)*(-y**2 + 0*y**2 + 0*y**2)*(-12 - 6 - 7).\nAnswer: -1920*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 50962*i + 50959*i + 6 + 8 - 101919*i. Let y(f) = -3*f - f + 0*f + 2*f. What is k(y(l))?\nAnswer: -4*l + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/(b\/b**(1\/7)*b)))\/(b\/b**4))\/(b**(-14))**(2\/23) assuming b is positive.\nAnswer: b**(978\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 15229*l - 36. What is s(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of -y**10\/75600 + y**6\/240 + y**5\/12 + 3*y**2. Let s(a) be the third derivative of c(a). Differentiate s(r) wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -15450847 and -15450848 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4007401 kilometers to centimeters.\nAnswer: 40074.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 353 - -64. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 299886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 61+-61\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3654 - -5604. Does 65 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.7, 3\/35, 3?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5 = -4. Let o(j) = j**2 + 4*j - 6. Let p be o(1). Which is the nearest to p?  (a) -0.1  (b) l  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -74 - -122. Let o be q\/20 - (-2)\/(-5). Solve 2\/3 - 2\/3*r**o + 0*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*h - 5*h + 24 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhiisdshhhhhhhhhssh. What is prob of sequence iis?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -7.6. Which is the closest to -1\/2?  (a) v  (b) 2\/13  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100011001 (base 2) in base 11?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -343 - -10414244?\nAnswer: 10413401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 108*p - 345. What is m(8)?\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 6 = -2*d - 3*v, -2*d + 26 = -2*v. Suppose 0 = 5*g - 2*g - 9. Let o = d - g. Solve -o*z - 10 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k - 4. Let s be w(-7). Suppose 2*f + 3 = -4*a + 7, -3*a + s = -5*f. Is a greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 2*k + 2466, -4588 - 2807 = -3*b + 5*k. Suppose -1202 = q - 3*q - 5*j, -4*j - b = -4*q. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/3 + 48*f - 864.\nAnswer: -2*(f - 36)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 4. Suppose -6*q + q + 10 = c. Solve 4 - q = 2*y + 5*b, y = 2*b + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -411 + 600. Let y = z - 114. Calculate the remainder when y is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 117.2 + -117. What is the second smallest value in -5\/2, -2, g, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28 - -33. Let j be l\/(-10)*0 + -1. Is j greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.006514 - 0.0044. What is n rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6585109 divided by -33091.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*x**2 + 1 + 62*x**2 + 91*x**2 - 4 - 13*x**2 in the form u*x**2 + v*x + n and give u.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 5*t**2 + t - 2. Let i be z(-2). Let f(g) = -3 + 10*g + 2 - i*g. What is f(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t\/(t**(1\/9)*t)*t**(1\/21) assuming t is positive.\nAnswer: t**(59\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of 13*d - 1\/3*d**3 + 24 + 13\/2*d**2. List the prime factors of a(6).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 370\/7?  (a) 2\/11  (b) 1\/2  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 507, 648, 1039, 1806, 3075, 4972?\n\"Answer: 21*c**3 - c**2 - 3*c + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, o: 4, a: 1, m: 2, j: 2, l: 2}. What is prob of picking 1 j, 1 l, and 1 z?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(78) - 1*sqrt(78)*2 - (sqrt(78) + (sqrt(78) - sqrt(78)*1)*5 + sqrt(78) - sqrt(78))))\/(sqrt(36)\/sqrt(384) + -4*sqrt(294)).\nAnswer: -96*sqrt(13)\/223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - s**3 - 3)*(38*s - 18 + 18).\nAnswer: -38*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -8.2  (c) -0.4  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 7 - (-2 + 8 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7134811 and -0.4.\nAnswer: 2853924.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -24220240 (base 6) in base 7?\nAnswer: -6333360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 2.5. Let n = -2.5 + p. Let y = 13\/8 - 179\/120. What is the nearest to -0.2 in y, 4, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 3 + -3 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -100 + 164. Suppose -f + 220 = a. Suppose 2*k + z - f = 5*z, 0 = 2*k + 3*z - 177. What is the greatest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*m - 385 = 23*m. Sort m, 0.74, -4 in descending order.\nAnswer: 0.74, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 (base 6) in base 15?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10180 + -10179.9. Are v and 1018 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hyyhyyyyyhyhhhyyyyy. What is prob of picking 3 y?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -10099*o - 484192. Give y(-48).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2. Let v(h) be the third derivative of -33*h**2 + 1\/12*h**5 + 0*h**4 + 13\/6*h**3 + 0*h + 0. Determine v(m(l)).\nAnswer: 5*l**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 144136?\nAnswer: 2, 43, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 247047234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 3872?\nAnswer: 3875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 11) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6902 a factor of 2974865530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 5 - n**4 + n - 1 + n**4 - 2*n**4 + 2*n**4 + (n**3 - 2*n**3 - n**3)*(3*n - n - 3*n) to a*n**2 + o*n + l*n**4 + w + c*n**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + -6. Suppose 5*g - 3 - b = 0. Sort g, 4, -3.\nAnswer: -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + v**5 + 1 + (4*v**5 + 0*v**5 - 3*v**5)*(0 + 3 - 5) + 5*v**5 - 5*v**5 + 3*v**5.\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 234462359?\nAnswer: 43, 107, 131, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/50179 - -73813685\/9433652. Let j = 27\/47 - l. Is -7 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (13 - 1)\/(-12) + -1. Which is the second biggest value?  (a) 27  (b) z  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -14, -23, -32, -41?\n\"Answer: -9*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4ae7 (base 15) to base 12.\nAnswer: -92a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 384186 and 4722.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 11023, 22045, 33067, 44089, 55111, 66133?\n\"Answer: 11022*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 409 - 415. What is the nearest to 0 in y, -2\/7, -6\/5, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 158.6 + -144.6. Which is the closest to 0?  (a) 5  (b) 3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3635064*0.2.\nAnswer: 727012.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 405179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 + 31*k + 39. Calculate r(-13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**5*q\/q**(3\/7))**(4\/19)\/((q**(-1\/2)\/q*q)**42)**(-2\/87) assuming q is positive.\nAnswer: q**(2662\/3857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1525\/4 - 381. What is the fourth biggest value in 6, 4, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -97637.9 to the nearest one hundred.\nAnswer: -97600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -171 + 1469. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + ((sqrt(17) - sqrt(17)*6)**2 - sqrt(17)))*-6 + 4)*-4.\nAnswer: -24*sqrt(17) + 10136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1234 and 1665283.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s**4 - 80*s**3 - 400*s**2 = 0 for s.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j**3 - 8*j**2 - 4*j - 3. Let u be i(-5). Let z = u - 64. Solve p - 3*g + 6 = -3, -5*p - g = -z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2*c - 9 = -3*v, 0 = -3*v + 5*c - 28. Find the common denominator of (((-21)\/12)\/v)\/1 and 75\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -76, -4*y - 3456768*d + 115 = -3456763*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - 3. Suppose 195 = u*m + m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -116 - -118. Let w(n) = 0 + 179*n**3 + b + 0 + 3*n**2 - 3*n - 178*n**3. Suppose 4*r + 5*c = 3, 2*r + 2*c - 5*c = -15. Calculate w(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -18 and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -307, -363, -459, -601, -795, -1047?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + 40*u**2 + 404*u + 294. Calculate q(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i - 2*i + 3*i**3)*(4394 - 10417 - 8877 - 2327).\nAnswer: -51681*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*g + 5*g - 85 + 54 in the form y + h*g and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 83916130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30 + -21. Let h be (-42)\/(-49)*3\/(-27)*3. What is the closest to j in -0.5, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/5 + 0 + 3\/(-18). Let d be 1\/((-147)\/156) - -1. Let k = -162\/245 - d. Which is the nearest to 2\/7?  (a) m  (b) 3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 9*s**2 - s - 2. Let o(i) = 5*i**2 - i - 1. Suppose -23 - 19 = -7*g. Let m be (-6)\/5*(45\/g - 5). Calculate m*a(y) + 5*o(y).\nAnswer: -2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/61, -47, -0.11?\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/(-294)*-7*(-14)\/(-15).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1339847107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 1:32 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/11))**(2\/163)\/(m**9\/m**(-11)) assuming m is positive.\nAnswer: m**(-35864\/1793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 5:35 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7002, -10456, -16212, -24270, -34630, -47292, -62256?\nAnswer: -79522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 5. Let p = 3 + -3. Let d = p - 0.4. Which is the biggest value?  (a) d  (b) s  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 300090649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.583 - 0.533. Let m be 4\/(16\/(-9)) + 27\/9. What is the fourth smallest value in -1\/7, 1, j, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1118 - -1742. Which is bigger: 625 or m?\nAnswer: 625","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/o**(-5))*o)\/o)**17\/(o**(1\/5))**(20\/3) assuming o is positive.\nAnswer: o**(-259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - 3 - (-20 + 31)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43569*t + 188*t**2 + 43569*t)*(2 + 5 + 0).\nAnswer: 1316*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 8*w**2 - 2*w + 4. Let b(x) = 3*x**3 + 25*x**2 + 6*x - 12. Let z(j) = -2*b(j) - 7*g(j). List the prime factors of z(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**5 - 6*l**3 + 21*l - 3 wrt l.\nAnswer: 40*l**3 - 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 4\/9 - 4\/9*d**3 - 4\/9*d**2 + 4\/9*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*c - 39*c = 120. Let g = c - 57. Suppose g*v + f - 2107 = 0, 0 = v + 5*f + 75 - 768. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 51, -4, 2, 23, -2, 6, -14 in increasing order.\nAnswer: -14, -4, -2, 2, 6, 23, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s, 1 d, and 1 z when four letters picked without replacement from xsddxazstxaa?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -143*o**4\/4 + 71*o - 47. Let l(y) = -144*y**3 + 70. Let q(d) = -3*i(d) + 2*l(d). What is the derivative of q(j) wrt j?\nAnswer: 423*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + 9. Let o = -5711\/8 - -708. Find the common denominator of o and (-2 + 119\/h)\/((-12)\/(-10)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*p + 4*p - 3*p + (-1 - 2*p + 1)*(4 + 0 - 3) - 2*p - 1 + 1)*(18*p + 15*p + 239*p - 5)*(-4*p + 0*p + 2*p) as m + k*p**2 + s*p**3 + r*p and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*v + 8 = 8*v + 6*q, -v - 2 = 4*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a millennium in years?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 42*u**2 + 296*u + 10. Is w(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of 47*r**6\/30 + 17*r**4\/4 + 5*r + 13. Let o(a) be the first derivative of i(a). Find the third derivative of o(u) wrt u.\nAnswer: 1128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q + 13*q = 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 106743270*r**3 + 101*r**2 + 2012007?\nAnswer: 640459620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-13)\/(208\/(-24)))\/((-3)\/146). Suppose 3*o - z - 78 - 265 = 0, 2*z + 8 = 0. Let m = v + o. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -961 - -2498. Let l = o + -1190.1. What is l rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 5*y**2 - y. Let f(l) be the first derivative of 1\/3*l**3 - 3 - l - 1\/2*l**2. Let n(c) = 6*f(c) - k(c). Calculate n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 3*a + 32. Let u(t) = -t**2 + 10*t + 7. Let b be u(10). Let y(m) = 3*m. Calculate the remainder when y(b) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 50 = -1. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 753, 832, 923, 1026?\n\"Answer: 6*b**2 + 61*b + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**3 + 6*f + 6. Let t(x) be the third derivative of -x**4\/24 + x**3\/6 + 48*x**2 - 27*x - 2. What is -5*t(i) + u(i)?\nAnswer: 2*i**3 + 11*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*j**2 + 780*j**2 - 75*j**2 + 824*j**2 + 532*j**2 to the form p*j**2 + c*j + i and give p.\nAnswer: 2083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 9 = -3. Suppose 0 = -r - 2*r - 5*y + 18, -4*r = -k*y + 5. Let h be 7\/(21\/(-6)) + 4. Solve -5*o + h = -3*x, 0 = -3*o + 5*o - 3*x + r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 10:04 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 + 4)\/(-4)*2. Solve p = -v - 2*s - 4, -2 = s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1433684, -5, -2, -4, 3, -12 in ascending order.\nAnswer: -1433684, -12, -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -282, -239, -196, -153?\n\"Answer: 43*p - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-40104)\/(-15) - (2 - (-35)\/(-25)). Let p = d + -1522. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 - 33. Let i be (1\/1)\/(n\/65). Is i >= -25\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10101 (base 2) to base 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-92)\/(-5) + -282 + 263\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -20  (b) 1\/5  (c) 2\/5  (d) -336  (e) -7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mqbmjjmqjqqjjjjqmqjq. Give prob of picking 2 j.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1800930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -1\/5, -2, 2, -1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 6411 - 12339 = 0. Let a = -2673 - s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - t = 1, -l + 4*t + 4 = -3*l. Suppose 2*b = 2*k - 7 - 9, 25 = -3*b + 4*k. Let v be (5 + b)*(-5)\/2. Put l, v, -1 in increasing order.\nAnswer: -1, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-38))\/(4\/(-60)). Let k = 1320 + -1319. Is j less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 4:26 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 349822 is divided by 116429?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -519, -1021, -1509, -1971, -2395, -2769, -3081?\nAnswer: -3319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-410)\/18 + 2\/(-9). Let w(r) = -23*r - 45. Calculate the least common multiple of 16 and w(o).\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -u**5 + 14487*u**4 - 52489992*u**3 + 156992104*u**2 + 1258311984*u + 1468503792 = 0.\nAnswer: -2, 7, 7242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 440 a factor of 115415973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12349, -12319, -12289, -12259, -12229, -12199?\nAnswer: -12169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6436958 or -4?\nAnswer: -6436958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*n + 1589 = -871. What is the remainder when n is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -610.84 - -610.9. Which is the closest to -0.02?  (a) 0.8  (b) -0.4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2159*v + 10431*v + 51075 = -56461 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 8*g**2 + 7*g + 3. Let v = 0 + -7. Let c be d(v). Suppose 4*i = 2*a, c*a - i - 7 = -2*i. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 380 = 24*f. Suppose -3 = -4*d + 3*d. Suppose -g = -f - d. 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 wwwwtttwwwttww. Give prob of sequence ttww.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + 16*m + 72. Let v be g(-8). Suppose 9*b - v*b = 0. Is 4 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, l: 3}. Give prob of picking 2 p.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*x**2 - 3*x**2 + 45*x**2)*(8*x**3 + 7*x + 12*x**3 - 19*x**3 + 3).\nAnswer: 62*x**5 + 434*x**3 + 186*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27.9 - 28.3. Let h = -147 - -142. Which is the second smallest value?  (a) 0.5  (b) h  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 56 - 40. Suppose -9*u = -5*u - c. Differentiate -1 - r**u + 3*r**4 - r**4 + 0*r**4 with respect to r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 9 = -2*p, 24 = 4*v + 4*p - 2*p. Suppose -3*b = -6, -5*b = -i + v*i - 1366. What are the prime factors of i?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 4*a - 35, 5*a = -5*q + 10*a - 10. What is the second derivative of 62*l**3 + 12 - 7 - q - 4*l wrt l?\nAnswer: 372*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(4*(sqrt(2448) + 1 + sqrt(2448) + sqrt(2448) + -1) + 4))**2.\nAnswer: 4608*sqrt(17) + 1410112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -0.8277?\nAnswer: -4.1385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20493 and -2?\nAnswer: 40986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 37*z - 636. Let s(p) = 46*p - 634. Calculate 4*s(u) - 5*w(u).\nAnswer: -u + 644","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-178)\/8)\/(25\/12400*-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4 + -3)*28\/7. Let z = -9 - -11. Solve a + w*k + k = 24, -5*a + z*k - 15 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(228)*1 - sqrt(228)) + sqrt(228) - -6*(sqrt(228) - 2*sqrt(228)))\/(1*sqrt(972)*-6).\nAnswer: 5*sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110000111110111 + -101?\nAnswer: 11110000111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*p - 586 = k - 648, 2*p - 13 = k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -3, 2\/9, -0.31, 0.4?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3710\/11 = 338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 781*-1\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/2280 and -67\/180.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, 1\/7, 3\/7, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4*n = 9, 2*n = 38*x - 42*x - 18. Which is smaller: -80\/19 or x?\nAnswer: -80\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - 131?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7580 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -130897, -130887, -130877?\nAnswer: -130867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 57 + 5*q - 40*q + 16*q + 3*q. Does 13 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2512.3 times -14571?\nAnswer: -36606723.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 30885769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*28\/(-8)*(-17)\/4641*-2301?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 220217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2)*(-1 + 3*i + 1)*(0 + 3*i + 2 + 0).\nAnswer: -18*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 19*s + 94. Let v be (24\/(-228))\/((-2)\/152). Calculate k(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 2. Let p(z) = z - 3. Let c be p(5). Solve d*j + 3 + 5 = -c*g, -5*g + 2*j = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 4:07 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6757*z**4 - 130308720*z**3 + 130308720*z**3 - 5248*z wrt z?\nAnswer: 81084*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of 4*m**3\/3 - 4*m**2 - 4*m - 90. Let y be h(-1). Solve y = -3*n + 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*k - 257206 = 4029714. Let t be (-4)\/(-14) - k\/112. Let o = 3478 - t. Calculate the common denominator of 91\/18 and o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k = 15*k + 62. What is the highest common factor of k and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -94*p + 24*p**2 - 13*p + 18*p**2 - 77*p**2 - 3 + 25*p**2 as f*p**2 + z + b*p and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 60919*g + 1218409. Determine k(-20).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 - (-35)\/(700\/460).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11703 is divided by 3869.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**2 - 6203348*w + 12406680 = 0. Calculate w.\nAnswer: 2, 1550835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111980 is divided by 37317.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.009 and -31.9.\nAnswer: -31.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 - 4*i**2 + 4*i**2)*(0*i**2 + i**2 + i**2) - 2*i**4 + 7*i**4 - 3*i**4 + 5*i**4 - 4*i + 4*i + (i - i - 2*i**3)*(i + 3*i - 3*i).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) -3450  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 760, 1522, 2286, 3052?\nAnswer: 3820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-12)\/t*t)\/(t**15*t)*t\/t**32*t**(-4\/5) assuming t is positive.\nAnswer: t**(-299\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 651 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1742*r - 2091 wrt r?\nAnswer: -1742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -7, -2\/7, 0.7992, 7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 440\/32 + -15 + (-14757)\/(-4)?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, g: 1, a: 5}. Give prob of sequence rgr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 - 9*l + 19. List the prime factors of p(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92130878?\nAnswer: 2, 7, 71, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(27)\/(sqrt(9)*-3) - (sqrt(3) + 1)*-1)**2 - (sqrt(225)*-1 + sqrt(9))\/(-6*(sqrt(3) + 1*sqrt(3)))).\nAnswer: sqrt(3) + 10\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2661251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**5\/6 + q**4\/3 + q**3\/6 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 752276 and 1612020.\nAnswer: 11284140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13186 and 0.19.\nAnswer: 2505.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -2*g + 15. Suppose g*h + 5 = 15. Let j be ((-20)\/15)\/(h\/(-21)). What is the greatest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o - 19. Let d be z(8). Let a be (22\/(-50))\/(11\/(-110)). Is d < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 32 - 13 = 0. Suppose -38*c + h*c - 2233 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 291 (base 14) to base 13.\nAnswer: 30c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -360*o**2 + 10516 - 10516 to the form d*o + j + c*o**2 and give c.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + -2 + 102\/(-50)*-3. Let c = h + -258\/275. Find the common denominator of -85\/44 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/(-9)*(-12)\/(-25)*635\/508.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 252 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -5*t + 16. Suppose -2*w + 3 = -7. Solve -f + t = -w*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 575 + -415. Let i be (1 + (-21)\/15)*c\/(-64). Let h be 0\/(4\/6*3). Solve h = -0*a + a + i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8205 + 73843\/9. Which is the second biggest value?  (a) 0.3  (b) -445  (c) u  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103 - 81 = 11*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3404909 kilometers to meters.\nAnswer: 340.4909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + 3 + -19 - -7) + -6 + -28.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 5 + (-1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38376 and 4849.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -3*z + 12, h - 26 = 2*z. Suppose i = 3*f + 2613, 2*f - 66*i + 1742 = -71*i. Let w = -745 - f. Calculate the remainder when w is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -27 + (13 - 25)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i**3 - 2*i**2 - 2. Let n(o) = -o + 6. Let g be n(4). Let t(v) = -8*v**2 - 2 + 4*v**2 + v**3 - 5*v**g + 0. Let b be t(9). What is z(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41 - 60 - v**2 - 43 + 145 - 63.\nAnswer: -v**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/u**(-1\/3))\/(u\/(u\/(u**8\/u))))**(-5\/2) assuming u is positive.\nAnswer: u**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*z - 7 - 20*z + 106*z to d + t*z and give t.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -55409\/10 + 5530. Find the common denominator of s and 107\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxsxxxxsssxxssx. Give prob of picking 2 s and 1 x.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 1875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((1*sqrt(1900)*3)**2*-1 - ((sqrt(133)\/(sqrt(343)*3 - sqrt(343)))**2 + -5)).\nAnswer: -3350639\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, t: 1, h: 1}. Give prob of sequence ssh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 99.78 - 98.8862. Round u to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y + 1. Let j be (2\/4)\/((-5)\/(-100)). Suppose 4*g + 2*u + 0 + j = 0, 0 = -4*g - 3*u - 13. Determine n(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -394 = 2*y + t + 111, -1020 = 4*y + 4*t. Let d = y + 404. What are the prime factors of d?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 7*z = 30*z + 21*z - 300 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2157 + -2153. Let h(f) = f - 2. Let g be h(4). Let w be -3 + (64\/p)\/g. Solve 1 = w*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-861)\/41*11\/(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 147673288*i - 102008319.\nAnswer: 147673288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 0 + 1 = 0. Let b(s) = -253*s**3 + 3*s**2 + s. Let k be b(j). Calculate the remainder when 152 is divided by ((-2)\/((-10)\/k))\/(-2 + 3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.023 - -0.35?\nAnswer: 0.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-45)*6*22\/44?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1343 = 86*g - 2771 - 979 - 67 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 19 - 35 = -g, -5*g + 355 = -2*x. List the prime factors of 4*(g\/12 - 5) + 531.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/5 of a litre?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43458*n + 4*n**3 + 43458*n + 8*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 92496 and 11562?\nAnswer: 92496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 534 + -282. Let u = 542 - g. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-12))\/((-4)\/12)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -14520, -35716, -56910, -78102?\n\"Answer: y**2 - 21199*y + 6678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 298624004065 minus 0.41?\nAnswer: 298624004064.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of 1\/120*x**4 + 0*x**6 - 1\/150*x**5 - 3*x**2 + 1\/525*x**7 + 0*x - 1\/1680*x**8 + 0*x**3 + 0. Factor y(f).\nAnswer: -f*(f - 1)**3*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -190, -756, -1682, -2968, -4614?\nAnswer: -6620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (19*(-51)\/(-9))\/((-1)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/40*2)\/(-13). Let l = g + -2\/13. Let v = 7.7 - 8. Which is the closest to 2?  (a) v  (b) l  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-107)\/(-2) + 1\/2 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/((-3)\/2) + 23 + -25. Let n be (85\/34)\/((-1)\/c*2). Suppose b = 2, -b - 18 = 4*t + 2*b. Put n, t, -3, 1 in increasing order.\nAnswer: t, -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -1740010*o + 60. Let q be d(6). What is q rounded to the nearest one hundred thousand?\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872)*-3 + sqrt(1872))*-5 - (sqrt(1872) - (-4 + -1*sqrt(1872))) - (4*-2*sqrt(1872) + -2)*-3)**2*6.\nAnswer: 23040*sqrt(13) + 2875992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + 12. Suppose t*a - 10*a - 20 = 0. Find the second derivative of 0*l**4 - 29*l**a + 29*l - 6*l wrt l.\nAnswer: -348*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 586355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2242870 (base 9) to base 8\nAnswer: -4472061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 702371 and 2183.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*a + 28*a - 3*s - 64 + 73 = 0, 0 = -6*a - 5*s - 28 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123 = 24*m - 45 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000450468965 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 319 by -74.\nAnswer: -319\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i**4 - 52070*i**3 - 135407900*i**2 + 814323000*i = 0. Calculate i.\nAnswer: -5210, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**35*s*s**(-3\/8) assuming s is positive.\nAnswer: s**(285\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/5))**(-1\/33)\/(w*w**2*w)**44*w**(-1)\/w*(w*w**2)\/w*w*w*w**(-9)\/w*w*w\/(w*w**2)*w assuming w is positive.\nAnswer: w**(-30359\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + m + 1. Let k(s) = 4*s**2 - 6*s - 6. Let d(x) = k(x) + 6*o(x). Let u be -3 + 0 - -5 - 0\/(-5). Let c(j) = -8330 + 49*j**u + 8330. Give d(c(n)).\nAnswer: -4802*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2406.863l to millilitres.\nAnswer: 2406863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -528 - -533. Let r(w) = w**3 + 2*w**2 + 2*w - 4. Let h(a) = -3*a**3 - 5*a**2 - 5*a + 7. Determine b*r(k) + 2*h(k).\nAnswer: -k**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 23  (b) 644.7  (c) -4\/3  (d) 5  (e) 1\/4  (f) 0.3  (g) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10773221?\nAnswer: 233, 46237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1443 - 1417. Solve 0 = 18*s - g + 116 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/9))**49 assuming f is positive.\nAnswer: f**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1505 + 6673*s + 2135 - 691 wrt s.\nAnswer: 6673","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 14844 * 5.88\nAnswer: 87282.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10031 > 745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -454 (base 6) to base 5.\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1404)\/50 + (241 - 213)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence teb when three letters picked without replacement from {t: 13, r: 2, b: 1, e: 2, h: 1, m: 1}.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 54, 3, -1, -3, -2\/299?\nAnswer: -2\/299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1914d + 46?\nAnswer: 19193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -199 - -371\/2. What is the common denominator of r and -183*8\/(-288) + 15\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**5\/4 + 13*j**4\/2 + 15*j**3 - 101*j**2\/2 + 115*j\/4 = 0. What is j?\nAnswer: -23, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -15941739 divided by 15941739?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -3*u**3 - 9*u**2 + 1405*u + 4211. What is z(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*i + 240*i + 1230731 - 8075906. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -513 + -753?\nAnswer: -c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3310*x - 3313*x - 3 = 0, 0 = -p - 5*x + 2 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -3*c**3 + 3*c**2 - 5*c + 7. Let g(a) = a**3 - a**2 + 2*a - 3. Suppose -9 + 1 = 4*t. Let l be (-19)\/4 + 3\/(-12). Calculate l*g(n) + t*x(n).\nAnswer: n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -16\/35*b**5 + 16\/7*b**4 + 3 + 4\/7*b + 4\/7*b**3 - 11\/7*b**2 - b**6. Find c such that n(c) = 0.\nAnswer: -1, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0)**24\/((y\/y**(1\/2))\/y)**(-17))\/((y**(-1\/3))**(2\/103)\/((y\/(y*y\/(y\/y**(-2\/13))))\/(y\/((y*y**(2\/7))\/y*y)*y))) assuming y is positive.\nAnswer: y**(-509177\/56238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-3)*(-3)\/2. Let z(g) = -5*g - 3 + g**c - 2*g**2 - 2. What is z(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v**3 - v + 1. Let m be x(1). Suppose -4*d - d + 3*c = -6, -4*d - 6 = m*c. Calculate the remainder when (-1)\/2*(d + -58) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145 = 5*r + 140, 0 = 5*q + r - 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x. Let z(s) be the third derivative of s**7\/1260 + 13*s**4\/8 - 12*s**2. Let t(q) be the second derivative of z(q). Calculate t(k(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b + 67. Let r be t(11). Let g = r - 76. Solve g*c - 6 = -3*k + 5*k, k = -4*c + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 4*k = 6*k - 18, 2*k - 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**2*l**2 - 2*h**2*l - 2*h**2 + 93*h*l + 2*h - 572109*l**2 - 51 wrt l.\nAnswer: -4*h**2 - 1144218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 50*i**2 - 1583*i - 685. What is k(32)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8\/49 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f + 4*f - f)*((1 + 2 - 5)*(-2*f + 5*f - f) - 5 - 2*f + 5).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-120)\/(-200) - (5 + (-2232)\/27)\/(710\/(-6))\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*r + 5. Suppose f + r*f = -4*m, -4*f + 2*m + 26 = 0. Solve -f*v = v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of -v**6\/540 - v**5\/30 - 23*v**4\/108 - 5*v**3\/9 - v**2 + 51*v. Find m, given that a(m) = 0.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -243*v - 1335*v - 224*v.\nAnswer: -1802*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/8)\/((12\/(-42))\/(52\/91))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2965434, -2965437, -2965440, -2965443, -2965446, -2965449?\n\"Answer: -3*v - 2965431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**3 - 2*c**3 + 0*c**3)*(c**2 - 3*c + 3*c + (-3*c - c + 2*c)*(-2*c + 2*c + c) - 2*c**2 + 4 - 4).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.456173 - 276542.543827. Let a = 276493.0038 + n. Let l = -50 - a. Round l to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 - 3*r + 3. Suppose 66*u = 61*u + 30. Suppose a = -a - u. Let d(x) = -x**2 - x + 1. Give a*d(j) + q(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -276, 0.1.\nAnswer: -276, -2\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 1:57 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/29, -9, 29 in increasing order.\nAnswer: -9, 2\/29, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.6 + -1. Let f be 1\/(-3) - (-4)\/(-24). What is the nearest to f in -2, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 4 - 4)*(4 - 2 - 3) - 11 - 7 - 3)*(1938 - 1938 - 63*v**4).\nAnswer: 1260*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27810 - 27561. Is -18 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3105 + 613?\nAnswer: 3718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 1) + 51 + 4 - (139 + -151)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5100 by 20.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 1204 = 4*w, 5*y - 3*w - 2004 = -7*w. Suppose j = -134 + y. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of -5*i**4\/12 + i**3\/6 + 28*i**2 - 2*i. Let w(n) = n**2 - 6*n + 4. Let k be w(4). Let u be t(k). Solve -u + 16 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x - 10. Let p be s(7). Let l be p*(92\/(-12) + 6). Let j(o) = 2*o**3 - 5*o**2 - 5*o - 5. Let c(u) = u**3 + u**2 + u + 1. Give l*c(k) + j(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -76 + 100. Suppose 2*w - 74 = -26. Is w less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + 16*a + 19. Let k be q(-15). Suppose -2*n + k*f + 20 = -28, -n + 3*f + 28 = 0. Solve -4*g - n = -0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 1396.\nAnswer: 3\/1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2*g**3 - 2*g**2 + 2*g - 1. Let m(f) = -708*f**3 + 344*f**2 - 8*f + 4. Let h(w) = -m(w) - 4*n(w). Find the third derivative of h(j) wrt j.\nAnswer: 4200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 9461*u - 140. Let b(o) = -1893*o + 29. What is -29*b(x) - 6*n(x)?\nAnswer: -1869*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmwmwmmwemmwmmwwwwwm. Give prob of picking 1 w and 1 e.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1530 = -9*a - 909. Calculate the highest common factor of a and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13.511 - 4812.4141.\nAnswer: -4825.9251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + j + 1. Let o(c) = -2*c**2 + 6*c - 6. Let p(d) = o(d) - 3*w(d). List the prime factors of p(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(6\/2) + -28. Let b be 1\/3 + p\/(-6). Suppose z - b*z = 0, 3*z = -4*g + 68. Calculate the remainder when 49 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2600 and 1725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**2 + 4*d**2 - 13*d**3)*(-3 - d + 3) + (2*d**3 - 4*d**3 + 0*d**3)*(2*d + 4 - 4).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 3. Suppose 0*z - z = n. Let r = 10 + z. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 8*o + 95 - 83 = 0, 3*o + 3 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 464063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -331 (base 6) in base 8?\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - 7*a - 14. Let l be o(10). Let s = l - 14. Suppose f - 4*y - s = 31, -60 = -2*f + 2*y. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7184 is divided by 1119.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**2 + r**2 - 2*r**2)*(-3*r + 6*r + 6*r) - 270*r**2 - 58*r**3 + 270*r**2 - 31*r**3.\nAnswer: -62*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 4*k + 42. Suppose f = 4*f - h + 30, -2*h - 28 = 2*f. Let w be a(f). Let o(i) = 4*i**2 + 2*i - 2. Determine o(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (46\/(-23))\/(-2)*2\/(4\/(-42))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4305208.395 and -3.\nAnswer: 4305205.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29003*l - 28985*l + 57988*l - 4*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-10428)\/99*(-3 - 153)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4*(1 + -2) - (-2 + 1). Is 24 a factor of 36*-1*((-410)\/30 + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -h - 3. Suppose 5*j - 22 = h. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -60*g - 5. Let h be s(1). Let i = 57 + h. Is 12\/i*1168\/(-6) - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**6\/d**(-1\/3)*d\/(d\/(d**(1\/3)\/d*d))*(d**3\/d)\/d*(d**(-2\/3))**43*(d\/(d**1\/d*d*d))**(-15\/7) assuming d is positive.\nAnswer: d**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -321242 + 12146?\nAnswer: -306063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4*s**2 - 1 - 5*s**2)*(-4620*s + 270821 - 270821).\nAnswer: 4620*s**3 - 9240*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 50705 or 50706?\nAnswer: 50705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -3*c - 3*c + 10*c + 27, -232*c - 94 = -220*c - 2*m for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tkkvktkkvvivitvikv. Give prob of picking 1 i and 2 v.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2499175?\nAnswer: 5, 7, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 4 = -4*y, 190 + 59 = 66*y + 3*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 342810029 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k - 430. Let v(q) = q - 442. Calculate -4*l(m) + 5*v(m).\nAnswer: -3*m - 490","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -4*j + 6, -j + 6 - 1 = -3*n. Factor 4\/5*u**j + 32\/5*u + 64\/5.\nAnswer: 4*(u + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of -m**4 + 20*m**3 + 32*m**2 + 351. Solve t(s) = 0.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**2 - 21*k + 18*k - 65 + 4*k**2)*(-13 + 9 - 23).\nAnswer: -54*k**2 + 81*k + 1755","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -620668, -620807, -621176, -621889, -623060, -624803?\n\"Answer: -19*o**3 - o**2 - 3*o - 620645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkjrrpprrp. Give prob of picking 2 p, 1 j, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5634*u**2 - 48941*u + 48941*u.\nAnswer: -5634*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*q + 69*q + 258 = 55*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -732151, -732153, -732155?\nAnswer: -732157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2*g**3 - g**2 - g + 341. What is the units digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 611 = 4*a + 4*g - g, 0 = -2*a + 4*g + 278. Let s = -167 + a. Suppose -38 = q + q. Are q and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/2680551 and 47\/4106376.\nAnswer: 192999672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-1 - (-4 + (-9 - -12))) - 4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.8*6\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14421319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (18\/(-12))\/(21\/(-12) + 1). Suppose -5*x + 2 = k. Solve x = -6*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 12*c**2 - c - 2. Let o be f(-12). Solve -o = -5*r, -2*y = r + 3*r - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19702 is divided by 5882?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 557 = 137*d - 676. Solve 0 = 4*k - 0*r + r - d, -2*r = 3*k - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1454 - -1467. Solve 3*o + p*z = 14*z - 9, o + 19 = 3*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, i: 1, q: 1, h: 1, s: 1}. Give prob of picking 1 h and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - 6*k + 1. Let y be a(5). Let c be ((-15)\/(-6))\/(2\/y). Let b = 4 + c. Which is smaller: -1\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -4 + -3 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38 + 68. Suppose -5*i = 4*r - 48, 2*i = -2*r + i + o. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5022410, 5022409, 5022408, 5022407, 5022406?\nAnswer: 5022405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5\/21 - 1\/14. Suppose 2*z + 18 = 8. Let m be (-1 - 2)\/(z - (-1 + 1)). What is the third biggest value in n, 2, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/14702434 and -65\/374.\nAnswer: 2749355158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 p when three letters picked without replacement from phhphphhuuhdhphhdphh?\nAnswer: 55\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-480)\/(-210) + 4\/(-14))*-2. Let v(b) = 9*b + 56. Calculate the remainder when 677 is divided by v(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 326, 322, 316, 308, 298, 286, 272?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 + 21. Let b(p) = p**3 - 4*p**2 - p + 4. Let q be b(4). Suppose -21 = -4*k + 3. Solve q = -s*z - z + k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 3*n**2 - 4*n + 3. Let z be (2\/5)\/(2\/(-20)). Calculate w(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45035318, 45035317, 45035316, 45035315, 45035314, 45035313?\nAnswer: 45035312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 5*o**5 - 595*o**4 + 17990*o**3 - 16810*o**2 - 17995*o + 17405 = 0.\nAnswer: -1, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 3. Let n(h) = -5*h**2 - 3*h - 76. Let c(i) = -3*i**2 - 53. Let p(s) = -3*c(s) + 2*n(s). Give p(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2 - 191212800*m - 3046861240320000.\nAnswer: -3*(m + 31868800)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1881 = 969*m - 1397 - 22771 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -87*-0.00015\nAnswer: 0.01305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 265, 523, 781, 1039, 1297, 1555?\n\"Answer: 258*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2839593 divided by -11049\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 359.19 and -16?\nAnswer: 375.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 6*x = 4. Let b(m) = -m**3 + 4*m**2. Determine b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-32)\/16 + -1 + 46 + 0. Calculate the greatest common divisor of 43 and f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lwwt when four letters picked without replacement from tltwtwitllttllw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11098 = -215*q + 4*q + 4938 for q.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -4. Let q = 9 - 8. Sort i, q, 3 in decreasing order.\nAnswer: 3, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 462.\nAnswer: -1\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (14 + -8 - 16 - -9 - 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9734 - -9837. Calculate the remainder when 289 is divided by a.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 242408.\nAnswer: 2, 157, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*h**2 - 8*h**2 + 28*h**2)*(0 - 1 + 3 - 2*h).\nAnswer: -66*h**3 + 66*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 886 and 2037850502?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(4200) + (sqrt(42) + (sqrt(126)*2)\/sqrt(3) - sqrt(42)))\/(sqrt(6) - (sqrt(30)*-2)\/sqrt(5) - (1*sqrt(24))\/sqrt(4)).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*p = -92*p - 396 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**4 + 9*a**2 + 1373*a - 1 - 1371*a - a**3 + 3*a**4 in the form p*a + k + g*a**4 + h*a**2 + f*a**3 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 4*n - 85, -n + 64 = -c - 16. Let l be (537\/c - 5)*(-3)\/(-9). Let u = -4847\/324 - l. Find the common denominator of -75\/154 and u.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2307920371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6982.255l to millilitres.\nAnswer: 6982255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.010237 - 0.5\nAnswer: -0.489763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -6*i - 10. Let x be k(-3). Solve d - 3*d = -x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 13 - -148?\nAnswer: 15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6871 and 0.12?\nAnswer: -824.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 723978 by -162.\nAnswer: -4469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/4, -2, -68, 0.28, -53?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85560298.\nAnswer: 2, 42780149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.86 times -1.3?\nAnswer: 25.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t. Let w(v) = 4*v - 5. Let u(a) = a - 1. Let f(d) = 5*u(d) - w(d). Calculate h(f(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/(sqrt(160) + sqrt(10)) + 4*sqrt(28).\nAnswer: 41*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(1\/16*-4)*14\/28. Suppose 4*l + 15 = -1. Let o be (-6)\/l + (-2)\/(-4). Put w, -5, o, -8 in ascending order.\nAnswer: -8, -5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100101100001111111 (base 2) in base 10?\nAnswer: -153727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11802.\nAnswer: 2, 3, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + -1 + -5 + 7 - -5. Let n be 6\/(-24) - (-1042)\/d. Let s = n + -45. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n**2 - 12*n**2 + 2003 + 11*n**2.\nAnswer: 3*n**2 + 2003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6 - 970 - -1)*-1. Let i = w + -566. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 12\/559, -2, -0.1 in decreasing order.\nAnswer: 12\/559, -0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 654 + -1137. Let z = -87 - j. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2467513.19 rounded to the nearest ten thousand?\nAnswer: -2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n + 4. Let h be s(0). Is (-597)\/(-9) + h\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 71312276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 491 is divided by 382?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1065*u**2 + 2113*u**2 + 1052*u**2.\nAnswer: 4230*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-15)\/(-40))\/(9\/(-6)). Suppose -j + 2 = -3*j. Is a smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2122 (base 3) to base 9.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -4*b - 15, 2*b - 2*t = 2*t + 20. What is the closest to -0.1 in -0.9, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/3 + (-52)\/42. Let u be (-4 - -3)\/(-1) - 0. Let f be (-6)\/9 + 51\/36. Which is the closest to u?  (a) r  (b) 0  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/195?  (a) 4  (b) 19\/176  (c) -0.5  (d) 5  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -19\/16684256?\nAnswer: -19\/16684256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -2345873 smaller than -2345899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 228208 and 147664?\nAnswer: 2510288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j**4\/4 - 12795*j**3\/4 - 250944*j**2 + 839097*j + 4689360 = 0 for j.\nAnswer: -80, -3, 6, 4342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/28)\/(969\/45220).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 499, 487, 461, 415, 343, 239, 97, -89?\n\"Answer: -g**3 - g**2 - 2*g + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*a + 9*a**3 + 0*a - 4*a**3 - 6 wrt a?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1084.5 - -2038?\nAnswer: 953.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16498 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 35720, 143670, 323592, 575486, 899352?\n\"Answer: 35986*l**2 - 8*l - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28*(-117)\/91 - 216\/(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2*2\/(-2) - (-17)\/10. Which is the biggest value?  (a) 4  (b) i  (c) -0.2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -9 - (-17 + 19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -5*x + 206 - 211, -70 = -5*p - 15*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 10*y - 11, -19*n - 14*y = -23*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -185 + 189. Suppose -6*x + 16 = -2*x. Suppose 2 = 3*a - x. Solve 0 = -p*z + a*z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50124744793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4491 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -5, -17, -45, -95, -173, -285, -437?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.405686 minus 0.35305?\nAnswer: 93.052636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*3*(-15 + 14). Let p(z) = -3*z**3 - 20*z**2 + 20*z - 12. Let q(n) = n**3 + 7*n**2 - 7*n + 4. Let k(t) = -6*p(t) - 17*q(t). Give k(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1.500691l?\nAnswer: 1500.691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -532654 and 1.\nAnswer: -532653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -163.952 - -167.1. Let f = s - 3.3. Round f to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -23*x**2 + 98*x + 88. Let v be j(5). Sort -1\/5, v, 1\/4, 12, 0 in increasing order.\nAnswer: -1\/5, 0, 1\/4, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 5*n**2 + 3*n + 1. Suppose 0 = 3*u + 2*u. Suppose -3*m + 15 = -u*m. Calculate the remainder when y(m) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1310513 (base 6) to base 3.\nAnswer: 10122001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43840683\/1435 - 30551. Let k = 87519\/11480 - l. Let g = k - 649\/40. What is the common denominator of g and -15\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.6 + -1300?\nAnswer: -1306.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8\/5 or -9?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007575990379 rounded to 7 dps?\nAnswer: -0.0000758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 + 31 + 14 + 19 - 11)*(-2 - 5 + 3)*(-15*d - 23*d + 9*d) to i*d + p and give i.\nAnswer: 5336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -972 (base 14) in base 5?\nAnswer: -24424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + 6*p + 8. Let d be t(-5). Suppose z = -2*o + 24, d*o - 7*o = 5*z - 120. Calculate the highest common divisor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.07 and -0.0248.\nAnswer: 0.001736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*d - 6269 = -4169 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24212465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 53  (b) 8  (c) 4\/7  (d) 3\/10  (e) -0.3  (f) -3  (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -228 + -730. Is 3\/(-6) - v\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9295 is divided by 133.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 AM and 10:52 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i + 4. Let k be a(-4). Is (k - -1)\/((-2)\/(-4)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*g**2 + 2 - 1 - 17*g**2 to the form p + s*g**2 + d*g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c - n - 223 = -461 - 99, 0 = -n + 1 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -856 divided by 214.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 399944.\nAnswer: 2, 49993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 15 + 3*q - 9 - 5*q.\nAnswer: -2*q - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 210583645.\nAnswer: 5, 29, 1452301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 59*b. Let r(q) = 9*q**2. What is r(y(g))?\nAnswer: 31329*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1055, 5, 12 in decreasing order.\nAnswer: 12, 5, -5, -1055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 961 = 31*l. Let k be (1 + l)\/((-22)\/(-11)). Solve -k + 4 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*a - a - 7*a + (-a + a - 2*a)*((1 - 2 + 2)*(18 - 26 - 42) - 3 + 2 - 1).\nAnswer: 93*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.490917 and -4.\nAnswer: -4.490917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 4:26 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 79 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 181420 divided by 470.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/1155*3*121\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39 + 22. Let w = 0.303 + -17.103. Let a = w - r. What is the second biggest value in a, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 154 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5733\/630 + 1\/(-10). Solve 4*q = w*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13000 + -31221232?\nAnswer: -31202232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 4. Let g be 7\/2 - z\/(-4). Suppose 4 = -g*w + 1. Which is the closest to w?  (a) 3\/2  (b) 2\/3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) 24  (c) -0.2  (d) -31\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 5*x - 37, -3*o - x = x + 124. Let s be 3\/(-6) - o\/12. Suppose 2*i + s*i - 270 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -15541?\nAnswer: 2\/15541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q - 2712. Let s(l) = -38*l**2 + 1. What is w(s(k))?\nAnswer: -76*k**2 - 2710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-45)\/(-30) - 2\/4. Suppose -20 = -5*k - 2*v, 5 = k + 2*v + a. Differentiate -7 - 2 + 15 - 10 + k*i with respect to i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000257710219 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3*b + 54 = -z, -z + 50 = b. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 - -17. Let o be (-106)\/(-34) + (-72)\/612. Solve 13 = -o*g + y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**2 - 46380*t + 10300936.\nAnswer: -4*(t - 218)*(t + 11813)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 0.2023?\nAnswer: 0.2023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.029 + -0.565. Let y = -0.494 - q. Is y greater than or equal to -6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -28588606*q**5 - 15*q**2 - 27*q - 3389 wrt q.\nAnswer: -1715316360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*d - 16*d + 5*m + 45, 2*d - 48 = -4*m for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*m - 119*m = 3*g - 25, 0 = g - 3 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3209?\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vdxza. Give prob of picking 1 a and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -300\/7*c**2 - 60*c + 3*c**4 + 15\/7*c**3 + 144\/7 = 0?\nAnswer: -3, -2, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.048 + -0.1. Let h = l + 0.052001. Round h to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*r - 1316 = 0, -9*r + 1306 = z - 8*r. List the prime factors of z.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of d**5\/30 + d**4\/24 - d**3\/3 - d**2. Let g be y(2). Let x be 3\/2 + (-10)\/g. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (5 - -6) - -26 - 32?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -116 + 120. Let p = -5 + 7. What is the second derivative of -3*m**p - y*m**2 + 34*m - 26*m - 38*m wrt m?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u**2 - 2*u**2 + 3*u**2. Let y(m) be the second derivative of 0*m**2 + 4*m + 0 - 2\/3*m**3. Determine g(y(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.03 - 2.37. Let v = -0.6 + u. Which is greater: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 - a**3 + 0*a**3 + 0*a**3.\nAnswer: -a**3 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 15) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1855812923 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 378 and 4158.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 2 y, and 1 a when four letters picked without replacement from ayeqayin.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8 minus 2.31478?\nAnswer: -1.51478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -6*s + 20. Let q be d(-6). Let v = q + -36. Let p be 6*v*(2 - -1). Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (7\/(-455))\/(((-12)\/(-60))\/(-1)). Which is bigger: -9.5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07216904629 rounded to 3 decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 5, -128, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18583365629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 131212130132202 + -2?\nAnswer: 131212130132200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 2*o - 8, 5*u + o - 204 = -200. Let c = 12 + -8. Solve -2*b = -b + 4*r + 20, u = c*b + 3*r + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v**4 + 111*v**3 + 15570*v**2 - 680736*v - 696192 = 0. Calculate v.\nAnswer: -74, -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 2852.135 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/96395 or -1?\nAnswer: 2\/96395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15\/16*(0 + 6\/15). What is the second smallest value in -1, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74902 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 7\/5, -4356?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1006 + 7958. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1175 - -1182. Which is the third smallest value?  (a) -7  (b) x  (c) 0.1  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 + -29. Let l = 2 - -1. What is the nearest to -1 in l, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6432 - 6406. Solve -26 = -y*v + 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 182863?\nAnswer: 107, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 11, l: 9}. Give prob of sequence llal.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2.31, 1\/3, -0.29?\nAnswer: 2.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, f: 6, t: 2, j: 2, i: 3, z: 1}. What is prob of sequence wz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/61)*q**(-1\/11))**(-3))**(-10) assuming q is positive.\nAnswer: q**(-1170\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 489.8237 days?\nAnswer: 705346.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 1489731?\nAnswer: -1\/496577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3699?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101 (base 3) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -4. Let t(s) = -s**3 - 7*s**2 - 2*s + 10. Let n be t(y). Suppose n + 14 = v. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.9050972 months to years.\nAnswer: 0.1587581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4334 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5*500\/2 + 1. Suppose -8*l - l + d = 0. Let q = -66 + l. What are the prime factors of q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 3*z**2 - z - 2*z - 5 + 7. Let u be j(1). Solve -m = -0*x - 4*x - 3, u*x = 2*m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85064 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 217482 - 110915657\/510. Calculate the common denominator of -97\/90 and v.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.155413374 rounded to four decimal places?\nAnswer: 0.1554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000035651309 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9307 is divided by 4649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -55 in -22, -4\/5, 0.4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -47147 (base 13) in base 7?\nAnswer: -1050401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 6:13 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 0*q = -4*g + 24, q + 5 = 3*g. Let p(i) = -1 - 49*i**2 + 26*i**2 - 9*i + 27*i**2. What is the remainder when p(q) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, 18, -21698 in decreasing order.\nAnswer: 36, 18, -21698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -218 + 248. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - -2313032212020?\nAnswer: 2313032212031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 72*l**3 + 348*l**2 - 3*l + 172993.\nAnswer: 216*l**2 + 696*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 + 6*n**2 - 4*n - 3. Let r be u(5). Suppose r = 2*m - 0. Let f(p) = p**3 - 2*p + 1. Determine f(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - (11 + 6 + -10 + 3) - 103 - 1.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(5\/7)\/w)\/(w*w**7) assuming w is positive.\nAnswer: w**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*k = -382*k - 10230 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1746 + 2577 = 131*b for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 14569, 84945, 202239, 366451, 577581, 835629?\n\"Answer: 23459*y**2 - y - 8889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -6 - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*p + 2*p - 160. Let o be -2 + 6 + p\/5. Solve g = -2*g - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 25552 = -11*g. Is 53 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + w = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -277 + 253 = -2*t. What is the greatest common divisor of t and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + 22 + (-69 - (-3 - (-11 + 5) - 3)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 + 36. Suppose 2*p - m = -4*x, 0*p = -p + x + 33. Calculate the greatest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 6*s - 11 = 4*h, -3*s + 20 = 5*h. What is the greatest common factor of 8 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 63204, 252818, 568842, 1011276, 1580120, 2275374, 3097038?\n\"Answer: 63205*m**2 - m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/1894 + -52562\/6629. Find the common denominator of t and 119\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 238610 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.8648 + -0.87. Round a to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 8 + 7 = 0. Suppose k*y - 204 = 6*y. Let z = 227 - y. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 66 - 6. Let b = 16 + -7. What is the least common multiple of b and 8\/d + 10\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 26*q + 1. Let v(j) = -4*j - 4 + 28*j + 5 + 3*j. Let w(y) = 7*c(y) - 6*v(y). Let k(a) be the second derivative of -a**4\/6 + 19*a - 2. Give w(k(o)).\nAnswer: -40*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1392711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -82 in 1, 5, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, 4, 36, -5 in ascending order.\nAnswer: -5, -1, 0, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1646466 divided by -823233?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -2*x + 4 + 25, -3*m = -5*x - 36 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 232.9 - 232.97. Which is the biggest value?  (a) g  (b) 0.16  (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z - 23. Let y(d) = 4*d + 47. Let c(v) = -7*r(v) - 4*y(v). Let j be c(-12). Let a be j\/2 - (-24)\/16. Put 4, -6, a in decreasing order.\nAnswer: 4, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*(-6)\/36*3*0. Solve f = -u - 3 - 1, 4*t - 5*u = 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1237194.\nAnswer: 2, 3, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (35 - 123) + 69 + 9 + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + -2*sqrt(70))\/sqrt(5))\/((sqrt(56)\/sqrt(4))\/sqrt(7)) - 6*(sqrt(847) + (sqrt(847) - (4 + (sqrt(847) - sqrt(847)*-1))))**2.\nAnswer: -96 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*m = -36*m. Let s(y) be the second derivative of 5*y + 0*y**2 + 1\/3*y**3 - 1\/5*y**5 + 0*y**4 + m. Find the second derivative of s(h) wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 388937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**8\/k)\/k**(-6) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42003 = -57*j - 6891. Calculate the greatest common factor of 224 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of 5*q**2 + 0 + 0*q**4 + 0*q**3 + 0*q + 1\/30*q**5. Let g(c) = 9*c**2. Determine g(v(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18.2 + 33. Let l = t + 91.2. Let m = 106.00043 - l. What is m rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -12348?\nAnswer: -12348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t + 2. Let z(i) = i + 2. Suppose 0 = 31*n - 26*n - 5*k - 20, 3*k - 4 = -n. What is n*b(h) - 3*z(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(2\/5))\/b)**(-38)\/((((b**(-5\/7)\/b*b)\/b)\/b)\/(b**(-6)*b)))**(-15) assuming b is positive.\nAnswer: b**(1836\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**2 + 3*g + 1. Give y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 28, -2 in decreasing order.\nAnswer: 28, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5674.24 - -6337. What is w rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 - 8 = 3*y + 5*f, 4 = -2*f. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 - -33. Suppose -3*l - 235 = -p. Let h = -30 - l. Calculate the highest common factor of 66 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11629 = 1446*m - 437*m + 22677 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -59.995 - 0.405. Let f = b + 60. Sort 0, 4, -2, f in descending order.\nAnswer: 4, 0, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 152837, 154909, 156981, 159053, 161125?\nAnswer: 163197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-48)\/24)\/(4*5\/(-110)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 PM and 12:34 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 14260.4847 seconds in weeks?\nAnswer: 0.02357884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 77 and 1397.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + i - 5*i - 1 = 0, -3*i = -q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 5)\/(((-238)\/3332)\/((-16)\/(-42)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 87\/7, 0.4, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 135415124 to the power of 1\/2, to the nearest integer?\nAnswer: 11637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2502040 by 500408.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 320967690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -551 - -2295. Calculate the greatest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 530.\nAnswer: -3\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k*(k**(-2\/5)\/k)\/k)*k**8\/k*k)\/((k**1*k*k)\/(k**(9\/4)\/k*k)) assuming k is positive.\nAnswer: k**(173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(((z**(-20\/7)\/z)\/z)\/z)*z*z)\/(z*z\/z**(-2)))\/((z\/z**(-1\/8))\/z*(z\/(((z**19\/z)\/z*z)\/z)*z)\/z) assuming z is positive.\nAnswer: z**(1217\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 + 5*s**2 + 3*s - 6. Let n be b(6). Let c be (n\/(-20))\/(3\/280). Let f = 29 - 15. Calculate the highest common factor of c and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of -11*i**4\/24 - 5*i**3\/3 - 5*i**2. What is the remainder when d(-4) is divided by (8 - 2)\/((-2)\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 3*g. Let n(d) be the first derivative of d**5\/30 + 3*d**2 - 2. Let z(l) be the second derivative of n(l). Determine z(h(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of -2*y**9\/945 - y**5\/10 - 53*y**4\/12 + y - 4. Let k(j) be the third derivative of b(j). Differentiate k(f) wrt f.\nAnswer: -128*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 a when four letters picked without replacement from xxxxaaaxxxxxax.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 9*m - 3. What is b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 1 = 2*h - 4*z, 3*h - 5*z = 10. Suppose -2*g - 29 + 2 = q, 4*q + g + 87 = h. List the prime factors of (-210)\/q + 1\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 13 = 8. Let a(l) = l**3 + 4*l**2 - 5*l + 2. Let d be a(-5). Solve -u = z - d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/535  (b) -3\/2  (c) -2  (d) -24\/161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 2263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifty-one fifths of a centimeter?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 3. Let f = -16 + 15.86. Let n = -0.54 - f. What is the closest to 1 in 2, t, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 64 and 114635328.\nAnswer: 114635328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 128, 1280, 4516, 10880, 21416, 37168, 59180, 88496?\n\"Answer: 174*k**3 - 2*k**2 - 60*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.97 + -0.03. Sort 3\/2, 5, y in decreasing order.\nAnswer: 5, 3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5441\/5 - 2197\/2. Calculate the common denominator of 29\/930 and v.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 5*g - 26, 6*g - 2*g - 4*a - 20 = 0. Solve -2*f + 0 = 4*r - g, -f + 3 = 3*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -363 + 358. Put -0.05, 29, c in increasing order.\nAnswer: c, -0.05, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15826 and 27406.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 5:53 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48460 and 29076?\nAnswer: 145380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 309407 and 309407 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 g, and 2 x when four letters picked without replacement from mmfmtfxftmxtmkmmxgk.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/6311184 and 35\/25244736.\nAnswer: 25244736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 20 = -y. Suppose -3*x + 0 = -j + 9, y*j - 4 = -4*x. Suppose -2*b = -j*b + 37. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000007845 to 7 dps.\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18142 + 18179. What is the remainder when 522 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -47*s + 2*s + 89*s. Let y(q) = 7*q**2 + 4. Determine h(y(g)).\nAnswer: 308*g**2 + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/60 - 3014746\/(-100380).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 199.297233 from 87.\nAnswer: -112.297233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 231 + -230.9. What is the closest to 11 in k, -0.2, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, x: 3, r: 4, g: 4, m: 5, d: 1}. Give prob of sequence rm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2. Suppose 5*y = 4*c + 3*y - 104, 3*c + y - 73 = 0. Suppose -6*i + c = 7. Let g(q) = -48 + 48 + i*q**2. Give h(g(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y - 7*y - 6*y + 12*y. Let i(o) be the second derivative of o**5\/60 + o**3\/3 + 2*o. Let z(p) be the second derivative of i(p). Determine l(z(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 2*h - 3 = 0. Let m(r) = r**3 - r**2 - 2*r - 1. Suppose 0 = -5*t - 5*q + 20, -3*t + 5*q = 2*q. Let l be m(t). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r - r + 0*r + (-1 + 1 - 6)*(4*r - 5*r - r).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 298075747 and 35539.\nAnswer: 5077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, e: 5, n: 1, r: 3, q: 1, j: 1}. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/20 + (-57)\/180. Let v(w) be the second derivative of 1\/3*w**3 + u*w**4 + 0*w**2 + 0 + 2*w. Find the second derivative of v(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**3 - 813*l**2 + 1711*l**2 + 2 - 14*l - 804*l**2 in the form b + n*l**3 + j*l**2 + y*l and give j.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/(-54))\/((-2)\/(-6))*-12. Solve 13 = j*v + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2444 and 3172.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 0 = 5, 9*n + 58*h = 11*n + 53*h - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 14*s. Let x(i) = -5*i. Let j(v) = 3*d(v) + 8*x(v). Calculate the smallest common multiple of j(5) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1037 or 26935\/26?\nAnswer: 1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z = -27 - 63. Suppose -2*r = z, 15*n - 10*n + 3*r = 11. Solve 5*p + 25 = -3*t, -10 = n*t - 5*p - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 6:09 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1446160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1710 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -82 + -91. Let v = l - -270. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3487.157 decades to years.\nAnswer: 34871.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 12 = -2*v, m + 3 + 22 = 5*v. Let t(c) = 13*c**3 + 2*c**2 - 6. Let z be t(v). Suppose 17*n + 8 - z = 0. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 760444727 is divided by 696?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 j when three letters picked without replacement from ubuujjbjbbbj?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 410830534 to the power of 1\/2, to the nearest integer?\nAnswer: 20269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2805\/14 - 21845\/112. Find the common denominator of 83\/42 and o.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 1004613*z - 9041524. Determine d(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -56440, -56021, -55322, -54343, -53084, -51545?\nAnswer: -49726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 470042973 to the power of 1\/2, to the nearest integer?\nAnswer: 21680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 466409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1774901?\nAnswer: 1774901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 43\/27 in -3, -1\/2, 5, 55, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*g - 0*m - 2*m, 5*m = 3*g - 29. Suppose 5*z = -4*k + 240, -g*z = -4*k + k + 153. Calculate the greatest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.8829 to two decimal places.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 148288831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 57*h**2 - h + 2. Does 29 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 12, e: 1}. Give prob of picking 2 f.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1236*y + 37366 = -461*y + 788*y - 1709 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkbbkbkkgzkdbbggbgg. Give prob of sequence kzk.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 divided by 37.\nAnswer: -19\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of y**5\/60 - y**4\/8 - 5*y**3\/6 - 2*y**2. Let o be m(5). Let l(s) = -s + 6. What is the units digit of l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of l**6\/30 - l**5\/4 + 3*l**4\/4 - 7*l**3\/6 + l**2 + 11*l. Factor x(u).\nAnswer: (u - 2)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 594129 >= 594129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.7 + 0.7. Let m = 0.40993 - 3.40163. Let z = 0.0083 - m. What is the biggest value in a, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -2*c - 2, -4*u + 88*c = 85*c + 1. Suppose -26 + 6 = 10*n. What is the nearest to n in -1, 3, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42961111?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {v: 1, u: 1, a: 3, x: 1, i: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n**2 - 14*n**2 + 12*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s**2. Let v(q) be the second derivative of -5*q**3\/6 - q + 6. Calculate v(l(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2)*(-6139*x**4 + 2096*x**4 + 2559*x**4) to the form p + l*x**4 + n*x**2 + c*x**3 + o*x and give l.\nAnswer: -2968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 1 + 0)*(-2*w - 3*w + 6*w)*(8 - 6*w**2 - 8)*(1 - 1 - 2*w**2).\nAnswer: 120*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*x**2 + 7499240*x - 2811930028880 = 0. What is x?\nAnswer: 749924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0323 - 221.0323. Let a = -218 - w. What is the closest to 0 in a, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + 27021991.392.\nAnswer: 27021991.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 18017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i - 1. Let o(z) = -7 + 44 - 13 - 18 - 5*z. Give -3*a(u) - o(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48830?\nAnswer: 2, 5, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {p: 1, y: 1, t: 1, b: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -4, p - 3 = -2*v + 2*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*t + 4*t + 72 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.0047 times 42\nAnswer: 0.1974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 44 or -1502?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 6*h**2 + 74*h + 1. Let r be w(12). Let v = -19 + r. Solve j - v*j - 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-168)*58 - 758\/7959?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 12727*t**2 - 52*t - 39. Let c(f) = -2121*f**2 + 8*f + 6. Let r(p) = 2*a(p) + 13*c(p). Let k(i) = -i. Calculate r(k(v)).\nAnswer: -2119*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + 3 - (6 + -7 + 52). What are the prime factors of (-51 - k) + (-1 - -26)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - 2. Let s(v) = -6*v**3 - 7*v**2 + 40. Suppose -16*x + 29 = 13*x. Let t(d) = x*s(d) + 4*j(d). Find the third derivative of t(m) wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10530)\/52)\/(-45)*-1*(-12)\/(-1539)*-3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 1.02. Let w = -0.08 + o. Let h = w - -0.1. What is the smallest value in h, -3\/4, -1\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 349 - 150. Let s = b - 171. Suppose 0 = -5*q - 45 + 115. Calculate the highest common factor of s and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*w + 119*w = 0. Is w smaller than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 0. Let y = 6.7 - 7. What is the third biggest value in z, -0.5, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 5*b. Let s(r) be the first derivative of r**3 + b*r - 3\/4*r**4 - 1 - 1\/2*r**2 + 1\/5*r**5. What is d in s(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.035, 1\/125, -96\/5, 0.3 in descending order.\nAnswer: 0.3, 0.035, 1\/125, -96\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - h + 13 = 0, -c - 5*h = c - 17. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -530959 + 2?\nAnswer: -530957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 - 7*c + 10. Let v be s(-8). Suppose -v*b = -35 - 85. Suppose -5*o = -2*o - b. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5 + 0 + 14*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11138 - -11138. Let k(g) = g. Let r be k(-1). Which is the nearest to r?  (a) o  (b) 1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {i: 2, v: 1, w: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 470*s**3 + 227.\nAnswer: 1410*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)\/(sqrt(567)*-3 - sqrt(7) - sqrt(7) - sqrt(7) - sqrt(7)) - (sqrt(130) - -4*2*sqrt(130))\/sqrt(10))*2.\nAnswer: -560*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2135*n + 27 = -2132*n. Solve 5*s - 14 = -n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n - 1559*n**3 + 2250*n**3 + 0*n.\nAnswer: 691*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 33462.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 609 a factor of 1635774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3*(-1 + 664\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 4:30 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.3  (b) -1\/5  (c) -10  (d) 1  (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(132)\/(-2*sqrt(12))*-4.\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.113 - -1.013. Let w be (1 - 1)\/(-2 + 1). Let h = -3 + 1. Sort w, h, f, -3\/4 in decreasing order.\nAnswer: w, f, -3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 5*l**2 + 23*l + 46. Does 14 divide y(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**3\/4 + 3441*g**2 + 204435*g + 3056400.\nAnswer: 3*(g + 30)**2*(g + 4528)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g**2 + 17*g - 12. What is f(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence na when two letters picked without replacement from asglssalnagllanwggsw?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yykkkvywvk. Give prob of picking 1 y and 2 k.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.3 - 2.2. What is the third biggest value in 0, k, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13*(-9)\/39)\/((-6)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -823 + 822.4. What is the biggest value in x, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5456246, 5456247, 5456248?\nAnswer: 5456249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6 - (53 + -42))\/(-1 - 2\/(-3)). Solve 5*u - 4*r = -9*r - 20, -3*r = a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 4) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**4\/2 + 932859*f**3\/2 + 96689902419*f**2\/2 + 3340346036480145*f\/2 - 10022778628434693 = 0. Calculate f.\nAnswer: -103653, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or 198?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 913 is divided by 104.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 362569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 147324, 147326, 147328, 147330?\n\"Answer: 2*n + 147322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 11*t - 1. Let g be q(6). Suppose 0 = -3*z - 168 - 45. Let k = -45 - z. What is the greatest common divisor of g and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -8 + 100\/12 + 169\/(-3). Let x be n\/(-36) + -1 + 1\/(-1). What is the biggest value in x, 0, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 280*y + 12*y**3 + 280*y.\nAnswer: 12*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5150957 divided by 2?\nAnswer: 5150957\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 0 = -3, -2*b - 3*n = 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-65)\/(-52)*2760\/75. Solve q = -13*k - 45 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.9457 >= -54841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -237*h - 129. What is the hundreds digit of m(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -340254*a**3 - 120*a**2 - 2*a - 89 wrt a?\nAnswer: -2041524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26874 - -72126. Round x to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 + 276*v**2 + 580*v - 852.\nAnswer: -4*(v - 71)*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {u: 1, g: 6, m: 5, x: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3056505930.\nAnswer: 2, 3, 5, 33961177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3531072 litres to millilitres.\nAnswer: 353.1072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 18*m = -m + 481 - 560, -u + 2*m = -14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2932?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 560.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 - -4. Let n(q) = q - 1. Let u(x) = 3*x - 4. Let v(i) = -4*n(i) + u(i). Let o(p) = 3*p - 3. Let t(j) = o(j) + v(j). Calculate t(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 - -67. Suppose 2*o + 3*g = 51, -o + 28*g - 24*g = -53. What is the highest common divisor of n and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + y = 6, -4*y - 25 = -2*z - 45 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -143c + -2b0?\nAnswer: -16ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-322)\/(-65) - 5 - 2\/(-10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12386)\/(-88) + 1\/4. Let i = -1 + t. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*n - 5. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 5 = -2*p + s, 0 = 4*p - 3*s + 5. Solve p - 3 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17537 or 135?\nAnswer: -17537","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of 0 - 11*w**2 - 29\/6*w**3 + 1\/120*w**6 - 7\/20*w**5 + 0*w - 17\/24*w**4. What is the remainder when l(22) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*(3*r - 3*r - 2*r) + 338 + 348 - 692 + 3*r.\nAnswer: 5*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 - 3*y**3 + ((-11 - 1 + 2)*(-y - y + 0*y) + (-2 - 4 + 3)*(-5*y - y + 5*y))*(-1 + 1 - 4*y**2) to the form h*y**2 + s + m*y**3 + d*y and give m.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82457 is divided by 27455.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*f**4 + 521*f**3 - f**2 + 15*f + 32.\nAnswer: 96*f + 3126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*f + m, -m - 4 = -4*f + 3*m. Let g(w) = w - 1. Let y be g(f). Suppose 0 = v - u - 78, 180 = y*v - u - 129. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((-2*sqrt(88)*-5 - sqrt(88) - sqrt(88) - sqrt(88)) + -2*sqrt(88)*-3))\/(2*(6*(sqrt(128) - sqrt(128)*2 - sqrt(128)) - sqrt(128))).\nAnswer: 5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 1:56 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3*k**2 + 47*k - 14. Let b be o(-16). What is the second smallest value in b, 0.2, 60?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/5 in 3, -23, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15254 is divided by 640?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 307.3969nm?\nAnswer: 0.00003073969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 + 28*i**2 + 66*i + 62. Let k be b(-25). What is the greatest common divisor of k and 246?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.79 - 0.21. Which is the biggest value?  (a) -2  (b) -0.5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (35\/56)\/((-5)\/(-40)). Put 2, -10, -4, x in ascending order.\nAnswer: -10, -4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 16*m**3 + 5*m**2 + 6*m - 5. Let a be g(6). Let x = a - 2607. Round x to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -613\/1092 + 13\/21. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -471 less than -492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8817560 divided by -12967.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*c**4 - 1073913*c**2 + 5*c - 6054433 wrt c.\nAnswer: 36*c**2 - 2147826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.0257 - -0.4743. What is the closest to -2\/5 in -0.6, 2\/21, d?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1324 and 2979?\nAnswer: 11916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*j**3\/7 - 916404*j**2\/7 - 21990944*j\/7 + 14660928 = 0. What is j?\nAnswer: -229077, -28, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 + 15*s + 39. Let y be v(-11). What is the fourth biggest value in 1\/4, 15, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 409198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - 15b5b3?\nAnswer: -15b5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 7*s - 326. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*m - 3, -3*m + 21 = 3*i. Let p be (1\/i)\/(4\/60). Suppose p*n = -5*t + 25, -2*t + 3*n + 17 = -t. Solve r = -3*r - 4*z - 20, 2*r + z = -t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -180 (base 11) to base 14\nAnswer: -10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (616\/(-49) + 10)*35\/(-13 + 8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3469516741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -3*b**2\/4 + 41145*b - 493713\/4 = 0?\nAnswer: 3, 54857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1236 + 1236 + 21*r**2.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - 21*h + 57. Let m be y(18). Suppose -2*v + 5*v = m*z + 393, 5 = -z. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.01 - 0.29. Let i be ((-21)\/2 - 0)*(-4)\/(-16). Let k = i - -247\/88. Which is the nearest to 1?  (a) 1\/2  (b) v  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15444108 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1653878132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 - 27. Suppose 4*g + j = 3*j + 34, -g - p = 5*j. Solve -4*c - 1 = g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.54 + -221.54. Let v = x - -220. Let k = -1.8 - -2. Which is the nearest to k?  (a) v  (b) 2  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {t: 1, u: 4, m: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -53, -30, -610, 5, 4 in decreasing order.\nAnswer: 5, 4, -30, -53, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 5*f - 10*f. Suppose 5*s - 4 = f. Let k be 6 + (1 - 2) + 5. Solve -s = -3*n + k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 199 divide 2049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -606067 at most as big as -606002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/24 and 143\/3336?\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1313 + 327*j**2 - 326*j**2 + 1342.\nAnswer: j**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 + 17. Let w = x + -6. Find the third derivative of y**w + 0*y**6 - 3*y**6 + 7*y**2 + 5*y**6 wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1758 - -1754.8. Which is the third smallest value?  (a) u  (b) 5  (c) 1\/9  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-16)\/(-72) + 1742\/18. What is the tens digit of (-6 - -5)\/((-1)\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 7:20 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -312501*n**3 - 3*n**2 - 3*n - 2. Suppose -j + 2 = 4. Let d be y(j). What is d rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 - -2. Let u = o - 19. Suppose -s - 3*s + 160 = 0. Calculate the greatest common factor of s and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 544 and 663.\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o**2. Let g(b) = -15*b + 22290. Give g(l(r)).\nAnswer: 30*r**2 + 22290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - -4) + -7 + 10. Suppose 0 = -g - 5*o + 16, -k*g - o = 44 - 4. Let p be 15\/10*3\/g. Which is the closest to 2?  (a) p  (b) -1\/3  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/18 + 1 - 3\/2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/7312 and 89\/32.\nAnswer: 14624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mma when three letters picked without replacement from {a: 1, m: 2, e: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(3402) - (sqrt(3402) + (sqrt(3402) - -2*sqrt(3402)))) + sqrt(42))\/sqrt(6) - (4*-2*sqrt(7) + sqrt(49)\/(sqrt(7) + sqrt(7)*1)))**2*2.\nAnswer: 9583\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 101*h**2 + 16*h + 17. Let i(s) = 25*s**2 + 4*s + 4. Let t(a) = 9*i(a) - 2*q(a). What is the units digit of t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-1\/9)\/g)\/g*g)\/g**(-5\/12)*g\/((g*g**11*g*g)\/g)*(g*g*g**(-37))\/g)**(-3\/2) assuming g is positive.\nAnswer: g**(1753\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of 8*z**6\/15 + 5*z**4\/12 - z**3\/3 + 1157*z**2\/2 - 562*z. What is the second derivative of b(f) wrt f?\nAnswer: 192*f**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 477*j - 23199. Let d be b(55). Let y(h) = 400*h - 1. Let c be y(3). Calculate the greatest common divisor of d and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 - ((-15)\/(-5) - 5). Solve 7*f - 5*f + 10 = o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*m*n**3 - m*n - 167663*n**3 + 6*n**2 - 262608*n - 1 wrt n?\nAnswer: 180*m - 1005978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 7*m - 111. Let f be w(16). What is the nearest to f in 21, -5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 391*-9.137\nAnswer: -3572.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95*o - 6*o - 209*o - 2*o**2 - 102*o + o**2 - 4*o**3.\nAnswer: -4*o**3 - o**2 - 412*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55 - 27 - 25 + 23 - 27 + 12*k + 1.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -34*u**5\/9 + 10052*u**4\/9 - 25810*u**3\/9 - 165880*u**2\/9 + 528584*u\/9 - 346912\/9 = 0. What is u?\nAnswer: -74\/17, 1, 2, 4, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 3.400732 centuries?\nAnswer: 0.3400732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 divided by 931534?\nAnswer: -11\/465767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 140, 70, -56, -244, -500, -830, -1240?\n\"Answer: -c**3 - 22*c**2 + 3*c + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 40 = 4*j. Let c = j + -15. Let n(q) = q**2 + 6*q + 7. Calculate n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y + 2 = 4*y. What are the prime factors of (-20)\/((y\/(-22))\/(-1))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of 7*b**5\/60 - b**4\/24 - b**3\/6 - 65*b**2 - 10. Let k(h) be the second derivative of d(h). What is k(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 123211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + p = 2*v + 14, -4*p = -3*v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 707 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -275*u**4 - 38226*u + 3750711.\nAnswer: -1100*u**3 - 38226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1805*l - 50*l = 26325 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -27*h + 194. Let q(j) = -74*j + 584. Give 11*f(c) - 4*q(c).\nAnswer: -c - 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -t**5\/20 + t**4\/4 - t**3\/2 + 3*t**2. Factor v(o).\nAnswer: -3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1478 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 - a**2 - 2*a**2)*(1 - 1 + 2*a) - 161*a**2 - 9*a**3 + 95*a**3 - 39*a**3 + 4*a**3 - 16*a**3.\nAnswer: 33*a**3 - 161*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 527*r - 18845 = -6197 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -78405 divided by 15681\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 6 = 2*s, -5*h + s - 13 = -7*h. Solve -5*w = -4*w + h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135 is divided by 85.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 238892427.\nAnswer: 3, 73, 363611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 147686590 divided by -5.\nAnswer: -29537318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o = -3*o - 18. Let s(r) = -r - 3*r**2 + 2 - 8*r**o + 9*r**2 - 2 - 4. Calculate s(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5 + 1. Suppose 0 = -4*t - 363 + 131. Let p = t + 68. What is the remainder when p is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 14791837, 14791903, 14791969, 14792035, 14792101, 14792167?\n\"Answer: 66*q + 14791771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 6:44 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**3 - 249*n**2 - 2119*n + 30992. What is v(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 543719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 6*d**2 + 4*d + 9. Determine s(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -446*s - 370*s - 388*s + 84*s.\nAnswer: -1120*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38437?\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*k - 4 = 0, -4*y - 28 = -0*y + 5*k. Let q(i) = 82 - 2*i + 11*i + 82 - 162. Give q(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 61 - 18 - 19 - 103*z - 24. Let m(t) = -t**2. Give k(m(v)).\nAnswer: 103*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 45458*i - 363597. Calculate o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 equal to 32075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1061 - -1073. Let i be (-4)\/(4\/(-15)) - 0. Determine q, given that q**2 + 11*q - 21*q**2 + 42*q - 30 - i*q**3 + p*q = 0.\nAnswer: -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1)\/d)\/((d**0\/d)\/d))\/(d\/d**(-1\/3))**(2\/11) assuming d is positive.\nAnswer: d**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*c**3 - 4*c**3 - c**3)*(-5*c + 0*c - 3 + c) + (2*c**2 + 2*c**2 - 3*c**2)*(2*c**2 - 2*c + 2*c) to h + s*c + n*c**3 + y*c**2 + m*c**4 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*(r\/r**(3\/4))\/r)\/r*(r**(-1\/2)*r*r)\/r)**43\/(r**(-2\/7)\/((r\/((r**(1\/4)\/r*r)\/r))\/r))**(4\/5) assuming r is positive.\nAnswer: r**(-1389\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.6 - 5.4. Let y = -0.3 - -0.1. Let k = -0.3 + -0.2. Which is the smallest value?  (a) k  (b) y  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = i - 3*c - 0, -15 = -3*i + 5*c. What is the smallest common multiple of (1\/2)\/(i\/60) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of -41*d**2\/2 + 18*d + 158. Let a be x(0). Solve -10*n = -n + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 50653, 102237, 153817, 205393, 256965, 308533?\n\"Answer: -2*u**2 + 51590*u - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - 12*w**2 - w + 16. Let d be u(12). Suppose 0 = 4*j + p - 16, 3*p = -d*j + j + 21. Solve -j*b = b + 5*q - 1, -5*b = 5*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 150150 and 1540?\nAnswer: 300300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 97, 202, 337, 514, 745?\n\"Answer: 2*y**3 + 3*y**2 + 82*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10179 or -10164?\nAnswer: -10179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {k: 5, r: 2, o: 13}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -4*y - 3 - 2 + 3*y + y**2. Let o be n(0). What is the nearest to 0 in o, -3\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -235 + 242. Solve 0 = -h*o + 8*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 + -3 - 1\/(-1). Let g(b) = y*b - 1 + 3*b + 0*b - 6*b. Let l(r) = -r - 1. Let d(f) = -3*f**2 + 71*f - 43. Let a be d(23). What is a*l(c) - 4*g(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/1)\/(1 - 3). Suppose 3*a - 38 = -4*v, 12*v = -2*a + 10*v + 22. Let k be -2 + 2 + 3*10\/a. Put t, -6, k in ascending order.\nAnswer: -6, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - 18\/((-24)\/(-4)))\/1. Suppose g + h = -5, g + 0*g + 3*h + 13 = p. Let c(f) = 9*f**3 - f**2 - 2*f - 1. What is c(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 172 and 557882.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**3 - 115*h**2 + 310*h - 200.\nAnswer: 5*(h - 20)*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*w = 0. Solve w = -j - j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, w: 6}. What is prob of sequence wqwq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*h = 6*h + 932 - 692 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of g**4\/24 + 7*g**2. Let k(x) be the second derivative of x**4\/2 + 5*x. Determine k(j(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 9*a + a**3 - 5*a**2 - 2*a - 6*a - 6*a. Let c(y) = y**3 - 4*y**2 - 4*y. Give 2*b(v) - 3*c(v).\nAnswer: -v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-567)\/630 - 1\/(-2). What is the third smallest value in -3\/7, -3, b, -1\/10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81277415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -2, 1\/3, 0.1, -2025?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 8, 0.2 in increasing order.\nAnswer: -5, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.9677 and -5.\nAnswer: -19.8385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*c - 3 = 32*c. Suppose 0 = c*z + 19 - 340. What are the prime factors of z?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.018424 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 11 - 35 = 0. Let k be (-154)\/(-33) + 4\/q. Factor 0*f + 0 + 1\/6*f**5 - 1\/6*f**3 - 1\/6*f**2 + 1\/6*f**k.\nAnswer: f**2*(f - 1)*(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 - 431*o - 3412. What is k(-8)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -438704\/9 + 48745. Factor 0 - 1\/9*m**4 - 4\/9*m**3 + c*m**2 + 4\/9*m.\nAnswer: -m*(m - 1)*(m + 1)*(m + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j = -70 + 40. Does 9 divide -2 - -99 - ((-11)\/(-11) - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -47*n - 6*n + 10*n + 1505 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -9*(54\/18)\/(9\/(-2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1193, 2315, 3439, 4565, 5693?\n\"Answer: r**2 + 1119*r + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 45 = 9. Let j = q - 9. Suppose j = -2*d - 4*y - 68, -188 = 7*d - 2*d + y. What is d rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/52195 and -112\/36465.\nAnswer: 2661945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 741071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of -w**3\/3 + 9*w**2\/2 - 6*w - 27. Calculate j(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*c**3*h**2 + 125916678*c**3 + 15496183*c*h**4 wrt h.\nAnswer: -8*c**3*h + 61984732*c*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d - 15*d + 30 = 0. Let w(y) = -y - 3*y - 14 + 2*y + 4*y. What is the units digit of w(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1\/4, 1\/24, 3, -3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33 + -86. Let n = l + 89. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2\/10247 - -840284\/153705. Let l = 2855\/5313 - -94\/161. What is the common denominator of l and z?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 826188 divided by 60\nAnswer: 68849\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(sqrt(27) - sqrt(3)) + (sqrt(3) - (4 + sqrt(3)*-3))**2 + (sqrt(3) + 4 + -3 + sqrt(3) + -3 + 1 + sqrt(3))**2.\nAnswer: -75*sqrt(3)\/2 + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sgsfqgqggsgqge. What is prob of sequence gse?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12194 and 469?\nAnswer: 12194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/110 and 47\/121?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 - 9*a - 25. Let n be (-84)\/15 - (-22)\/(-55). What is c(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21302480 or 21302474?\nAnswer: 21302474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 54317432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/9, 0, -98, 5, 3\/2 in descending order.\nAnswer: 5, 3\/2, 0, -4\/9, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, u: 8}. What is prob of sequence bb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*m + 340 = -17*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 70\/(-9) - (0 - 36\/(-162))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -442 + 5?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -50*n**5 - n**2 - 151.\nAnswer: -3000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3827720709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1.29*0.1377\nAnswer: -0.177633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3570251, -3570250, -3570249?\nAnswer: -3570248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3020.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) -3  (c) -5  (d) 15.4  (e) -0.07  (f) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-69)\/92 + 1078\/(-24)*-1. Is 44 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2600193?\nAnswer: 3, 859, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 5:58 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4818 divided by -2.\nAnswer: -2409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 16809.7751 to the nearest ten.\nAnswer: 16810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 11*s**2 + 9. Let v(w) = -w**2 - 1. Let l(g) = -3*g**2 - 3. Let h(u) = 2*l(u) - 7*v(u). Let p = -34947 - -34925. Give p*h(k) + 2*x(k).\nAnswer: -2*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 287 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000852884504 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-3) + 2 - 0. Is (-4 + (-167)\/u)*-21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a*a*a\/(a*a\/a**(-2\/25))*a))\/a*a)\/a**(-2\/35))\/(a\/(a\/((a**5\/a)\/a)))**(-26) assuming a is positive.\nAnswer: a**(13499\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3653 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 360 or 403?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 45 - -38. Let i = a + -83. Solve -2*g = -w - 7, i = 2*w + 2*w - g + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 719 + -4572. Does f = -3854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -153*q - 161*q - 161*q - 155*q + 626*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 10*b + 12*b + 36 = 0, 3*w + 3*b = 27. Let x(c) = 2 + 1 - 3 + 2*c. Calculate the smallest common multiple of 14 and x(w).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 AM and 12:00 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28009962 to the nearest integer?\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -o**8\/6720 + o**7\/504 + o**6\/120 + o**5\/30 - o**4\/4 + o**2. Let n(l) be the second derivative of d(l). Give n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7104894 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -6*a**2 - 7*a - 8. Let h = 61203 + -61196. Suppose -5*c - 15 = 10. Let l(t) = -4*t**2 - 5*t - 5. Determine c*q(z) + h*l(z).\nAnswer: 2*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2*h - 62 = 5*t, 4*t - h = -61. Which is the second smallest value?  (a) -0.3  (b) t  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189707246 is divided by 10255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 3*g**2 - 7*g + 1504. Does 18 divide x(61)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -787, -2837, -6239, -10999, -17123, -24617?\nAnswer: -33487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/19)\/(46\/(-16)) - 62*(-202)\/118978.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.542005 centuries to years.\nAnswer: 854.2005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -389*p**4 - 2*p**2 + 215 wrt p?\nAnswer: -9336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3046*w**2 - 7*w + 4*w - 5 + w.\nAnswer: -3046*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -5\/2  (b) 1\/3  (c) -2\/7  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, 39, -1480?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4 - 4 + 2)*(-2 - 3*f + 2) + f + 3*f - 5*f + 0*f - 2*f + f)*(-99*f + 26*f - 57*f) in the form y*f + n*f**2 + q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 + 45*g - 21. Let a(i) = -2*i**2 + 93*i - 39. Determine 6*a(x) - 11*z(x).\nAnswer: -x**2 + 63*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of -11*h**2\/2 - 47*h + 96. Calculate the remainder when q(-6) is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 2*r - 4*n + 10 = 0, -2*r + 8 = 5*n. Let v = -44 - -47. Let i be (15\/126*v)\/(3\/2). Which is greater: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 - 11*b**2 - 14*b + 6. What is v(-10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/3*0\/1. Suppose g = 2*k - 0*k - 264. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 2 = -t, z - 6*z - t = -2. Suppose 3*v - 3*s = -z*s + 2667, 3*v - 2667 = -s. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*q + 3. Let g = 13 - q. What is the remainder when g is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(27))**2 + 6*(-2*sqrt(3) + sqrt(3)) - ((sqrt(3) - -1*sqrt(3))*-5 - (sqrt(9)\/sqrt(3) + 3))**2.\nAnswer: -426 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.550213 + 3.55. Round f to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3846190807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12 + 4*n**2 + 12)*(-12*n**2 - 21*n**2 - n**2) + (2 - 4 + 1)*(2*n**4 - 3*n**4 - n**4) in the form r*n**4 + w*n**2 + q*n**3 + c + g*n and give r.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-4) + 2618\/44. Let y = -59 + b. Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by 110304?\nAnswer: -5\/55152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 6  (b) -567  (c) 1\/2  (d) 0.3  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49454866 divided by -382.\nAnswer: 129463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 47972 and 2864?\nAnswer: 191888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03230822 - -0.0433.\nAnswer: 0.07560822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 20*3\/(-48)*-4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-5*1*sqrt(480) - sqrt(480)) + sqrt(480))\/((sqrt(54) + 3*sqrt(1944))\/sqrt(9)))**2.\nAnswer: 2000\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, k: 8, c: 4, a: 2}. What is prob of picking 3 k and 1 c?\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = p - 66, 2*w = 4*w - 3*p + 28. Let x = w + 35. Calculate the highest common divisor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 719736, 719738, 719740, 719742, 719744?\nAnswer: 719746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*z + 36*z + 0 + 0.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -27866906, -27866903, -27866898, -27866891?\n\"Answer: s**2 - 27866907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6687054 - -5.55?\nAnswer: 6687059.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - k**2 - k + 1. Let l(r) = -4*r**3 + 19*r**2 + 26*r - 8. Let t(m) = -2*h(m) - l(m). Is t(10) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14237 or -14271?\nAnswer: -14271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 226244 divided by -652.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 r when three letters picked without replacement from arrrrrrrrarara?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-3*(sqrt(275) + 2) + -1*sqrt(275) + 1)**2 - 5*((sqrt(176)*2 + sqrt(176))**2 + 1)).\nAnswer: -3503 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 + 6. Let f = -27.9 + x. Let o = f - -3. Which is the second biggest value?  (a) 0.4  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 748129824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 2*a**4 + 4586598*a**3 - 45866114*a**2 + 151358322*a - 165118248 = 0.\nAnswer: -2293309, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2777046*w - 925679*w - 925686*w - 925685*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 477449 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 909\/(-18)*10\/(-1). Suppose a - 109 = -d, 5*a - 5*d + 2*d = l. Let s = a - -11. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/5  (b) 16  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004200358 rounded to five dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2373.\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*m - 31*m = -q + 9, 4 = -4*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1257522?\nAnswer: 2, 3, 7, 79, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((520\/30)\/(-13))\/((-1288)\/(-1656)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -225 divided by 2?\nAnswer: -225\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -424 * -0.4\nAnswer: 169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 21712\/12*1\/12. Let o = h - 151. Which is the smallest value?  (a) -2\/7  (b) 3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 317453809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 220212 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 487733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**3 - h**3 + 2*h**3)*(-1 - 3 + 5) + 5 - 3 - 4 + h**3 - h**3 - h**3 - 9*h**3.\nAnswer: -8*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*y = -385*y + 1652 + 156 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 514 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1890)\/(-110) - 3\/(33\/2). Solve 5*c = -2*d + x, 2*c - c = 3*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36174286 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/5)\/((h*(((h\/(h\/(h**(-3\/4)*h)))\/h)\/h)\/h*h)\/h))\/(h**(-3\/7)*h**(-5)))\/(h**(1\/12)*h**8*(h**(-1\/5)\/h)\/(h\/h**(3\/4))) assuming h is positive.\nAnswer: h**(313\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -261\/5 + 52. Let v(p) = -p - 4. Let z be v(-5). Which is the nearest to 1\/3?  (a) z  (b) 3\/5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h + 3*h + 2*h)*(15 - 10 + 16)*(2*h**2 - 3*h**2 - 2*h**2).\nAnswer: -126*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10643\/477 - -202\/9. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.066559332 to five dps.\nAnswer: 0.06656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 4 = b, -2*b + 20 = -2*t + 7*t. Suppose d = -b*d. Suppose -7*k + 5*k + 8 = d. Solve 4*c + k = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*w**2*z - 14*w**2 + 75*w*z + 62*w + 9660656*z wrt w.\nAnswer: -24*w*z - 28*w + 75*z + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, t: 1, j: 1, k: 2, h: 1}. What is prob of sequence kjx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 787780 is divided by 157555.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 20231 (base 5) in base 11?\nAnswer: a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 5442, -1 in decreasing order.\nAnswer: 5442, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -422968 (base 13) to base 5\nAnswer: -344021140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76875930, -153751862, -230627794, -307503726?\nAnswer: -384379658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from ieeeeeeieeeee.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 129777, 260610, 391443, 522276, 653109?\nAnswer: 783942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 276 and 52302.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2703, 10332, 23049, 40854?\n\"Answer: 2544*i**2 - 3*i + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Work out 49 * -17.\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -0*r + 34. Let n(j) = -j**3 - j + 4. Let f(q) be the third derivative of q**6\/40 + q**4\/12 - 11*q**3\/6 + 506*q**2. Give r*n(w) + 6*f(w).\nAnswer: w**3 - 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -8*q - 1. Let s(m) = -4 + 6*m + 5 - 1 + 1. Let v(a) = -7*s(a) - 5*t(a). Give v(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(6\/(-36)*-3). Suppose 0 = o*p, 6*j + 4*p - 455 = j. What is the remainder when j is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -176994 divided by 58998?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-540)\/(-1620)*(-42 + 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 2:45 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 690, 599, 448, 243, -10?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 211882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**3 - 3436*g**2 + 30512*g + 74800.\nAnswer: 4*(g - 850)*(g - 11)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 586 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/(-1) + 2 - (-67 + 77)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 735685*w**4 - w**2 + 1300049*w wrt w.\nAnswer: 17656440*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1009967?\nAnswer: 7, 223, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3012, 12058, 27164, 48330, 75556?\n\"Answer: 3030*c**2 - 44*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22328*b**3*h + 119*b**3 - 26*b**2*h + 6350*b*h wrt b.\nAnswer: 133968*h + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/6*(-4)\/(-12). Let u(v) = 13*v + 88. Let s be u(-7). What is the smallest value in s, o, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/(-3))\/((-2)\/(-12)). Let b = 3 + r. Suppose 2*h - 5*h = -6. Sort 0, h, b.\nAnswer: b, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/(l\/((l**(-4)*l)\/l*l)*l))\/(l\/(l\/l**(-7))))**(18\/13) assuming l is positive.\nAnswer: l**(72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((9\/1020)\/(56\/(-280)))\/(2\/(-16)*-2).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 171?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 + -28166.455?\nAnswer: -28165.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*3\/6*-7. Let x = 27 - k. Suppose 0 = z - 3*z + x. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2172 + -2172.07. Let o = -1.5 + 1.1. What is the second biggest value in o, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + ((-7784)\/315 - -18 - (-2)\/18)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -337*u**3\/3 + 23*u - 16. Let v(h) = 7*h**2. Determine v(f(j)).\nAnswer: 3179932*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r = -15 + 35. Solve r*l + 7 = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -71*l + 2. Let t be w(1). Let i = t + 121. Let h = i + -8. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2)*(3*b - 11*b - 5 + 7*b).\nAnswer: -2*b - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -242646 - -136124471\/561. What is the common denominator of 29\/255 and n?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1444\/20 - 3\/15 and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**11\/(g\/(g\/(g*(g*g**(-3)\/g*g)\/g*g))))\/(g**(-13)\/g*((g**13\/g)\/g)\/g) assuming g is positive.\nAnswer: g**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, c: 2, e: 1, r: 1}. Give prob of picking 1 e and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29172020 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-18)*9\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q\/((q*(q**(-1\/6)\/q)\/q)\/q*q)))\/q*q)\/q**(2\/7)*(q**(-16)*q)\/((q*q\/(q**(16\/7)\/q))\/q))**(1\/14) assuming q is positive.\nAnswer: q**(-97\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 672520 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 140632158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h. Let y(z) = -2*z. Suppose -2*u = -5*u + 6. Let t = 1 + u. Let v(k) = k**2 + 15*k + 45. Let g be v(-4). Calculate g*y(r) + t*o(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 300*i**2 + 2*i + 1. Let f be -3 + 7 + -3 - 2. Is t(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33\/(-6))\/(7\/21 - (-10)\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -4, 2171, 13, -5, 1 in ascending order.\nAnswer: -8, -5, -4, 1, 13, 2171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 + -3 - 4) + 1. Suppose 0 = n - 4*j + 28 - 6, -5*n + 3*j = 59. Let q = u - n. Solve 5*c = -5, 4*c = q*l + 17 + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)\/((sqrt(60)*-2)\/sqrt(12)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32625 - -32626.7439. Round h to two decimal places.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5894 - 5889. Solve -2*c - 2 = -2*b, -12*b + 3 = -9*b + y*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 4, -3, -16, -35, -60?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -322, -296, -280, -280, -302, -352, -436?\n\"Answer: -s**3 + s**2 + 30*s - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*p + 180*p = -125 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1951018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z + 0*z + 1 + z + (52*z - 32 + 32)*(4 - 1 + 0).\nAnswer: 157*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 7*d - 6. Let i be q(8). Suppose 2*t - 72 = -2*t. Suppose -i*l + 0*l + t = f, 5*f - 20 = 0. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + 2 + 3572\/(-1155). Let d = 2\/77 + b. Let c(r) = -r**2 - 4*r + 6. Let m be c(-5). Which is bigger: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 195069325?\nAnswer: 5, 11, 23, 30841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 + -4716540?\nAnswer: -4716549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y + y**2 + y**2 - y**3 - 5*y**2 + 2 + 4*y. Let h = 120 - 124. What is k(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69772 = 1720*i + 809*i - 4018 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -10*s**2 - 19*s. Let r(z) = 28*z**2 + 54*z. Let x(p) = 6*r(p) + 17*t(p). Let m(v) = -3*v. Determine x(m(g)).\nAnswer: -18*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -13. Suppose -m*s + 64 = -3*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z**2 + 3472*z**3 + 335*z**3 + 0*z**2.\nAnswer: 3807*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 94900 and 379600?\nAnswer: 379600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1375704.46 to the nearest 10000.\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 103324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qiu. What is prob of sequence qui?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/(-3) - 168\/20. Which is greater: -5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -241 + 236. Let b(m) = -5*m - 6. Let j(v) = 10*v + 15. Let q(l) = u*b(l) - 2*j(l). Let a(x) = 44*x. Determine a(q(p)).\nAnswer: 220*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-24))\/(r\/(((r*(r**(-9)\/r)\/r*r)\/r)\/r*r*r))*(r\/(r\/(r**(-1\/4)\/r*r)))**(2\/11) assuming r is positive.\nAnswer: r**(-727\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - (-5 + 3)) + 2. Suppose -14 = f*p - 64. What is the least common multiple of p and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 117 = -3*g. Let b = g + -38. Is 839 + b + (-5 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aal when three letters picked without replacement from maamlmgm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.9 * -51378.48.\nAnswer: -46240.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9567 is divided by 195.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*f + 4*k - 2, 2*f - 246 = 4*k - 254 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 176 divide 13024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 38 and 1938.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by 15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - u = 2*i + 15, -u + 5*i - 20 = 0. Suppose 105 = u*h + 5. Solve -3*q - h = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sp when two letters picked without replacement from gvspgggrg?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2437 - 2397. Calculate the smallest common multiple of t and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3238880 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 564391.\nAnswer: 564391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -27311 take away -1001.5?\nAnswer: -26309.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 - 16. Suppose x = 3*u - 18 - 30, q*u - 4*x - 87 = 0. Suppose 18*s = u*s + 24. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, o: 2, l: 1, q: 1, s: 1, y: 1}. What is prob of picking 1 y, 2 o, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 6426*k. Let c(h) = -2*h. Determine t(c(r)).\nAnswer: -12852*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84 and 14909160?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 35296 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 603 and 1930404.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**2\/5 + 14*q\/5 + 16\/5 = 0. What is q?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 18 = 27. Let k be (12\/d)\/(2\/15). Calculate the greatest common factor of 30 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 18.267352329 and 53903.\nAnswer: 53921.267352329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -455 - -255. Let u = -117 - w. List the prime factors of u.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 255886721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/4382368 and -91\/640.\nAnswer: 87647360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23726?  (a) -0.0423  (b) 2  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10.4807 - -0.0007. Let y = -0.98 - a. Let v = 2.5 - y. Which is bigger: -0.2 or v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 17*u**2 - 4*u - 16. Give l(17).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2383321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -37 + 37.0000033. Round n to 7 dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/y**(1\/3)))**38\/(y\/(y**4\/y)*y**7) assuming y is positive.\nAnswer: y**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (-1727)\/3 - (-8)\/(-12). Suppose 11*a - 12*a + 575 = -2*f, -4*f = -a + h. What are the prime factors of a?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -875*d - 563*d + 427*d - 298*d.\nAnswer: -1309*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t + 8. Let x be d(7). Calculate the highest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**3 + 9*d**4 + 72922*d**2 + 73076*d**2 - 146996*d**2 to the form n + s*d**3 + j*d + t*d**2 + v*d**4 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-88)\/12)\/(8\/(-12)). Let j = t - 19. Let x(n) = 2*n**3 + 15*n**2 - 10*n + 11. What are the prime factors of x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7, 76, 265, 634, 1243, 2152?\n\"Answer: 10*h**3 - h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 5*d**4\/4 - 2515*d**3\/4 + 8715*d**2\/2 - 8690*d + 4960 = 0.\nAnswer: 1, 2, 4, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 6*z - 5. Let g be i(-6). Suppose -10 = -2*t + 8. Let k = t + g. Solve k*o - f = o + 4, 0 = -2*o - 4*f - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 192\/144 + (-4984)\/3. Round p to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 - -29. Solve -q - 10 + 2 = c, 0 = 2*q + c + j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 127736 divided by 63868.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -115470*t**3 - 3*t**2 + 17264*t?\nAnswer: -692820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2664?  (a) -0.7  (b) -0.1  (c) 0.5  (d) -0.07  (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 186337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 1 + (0 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 + 6*d**2 - 41*d - 8. Let m = -977 + 967. Let p be z(m). Solve -20 = p*j - 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.01 from -5156480.714.\nAnswer: -5156480.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of 53*s**6\/3 - 13*s**5\/6 - 1407*s**2. What is the third derivative of y(i) wrt i?\nAnswer: 12720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 3 = 0, 17 = 7*k + r + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-382)\/((-1075)\/5700 + (-2)\/(-24)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10322*v + 21548*v - 11226*v + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 412 - 188. Calculate the highest common factor of p and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 0*l = -18. Solve -21 = -l*v - 4*n, v = 2*v + 4*n - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**(-5)\/o*o**(-3)\/o*o*(o**1)**(-14\/9)*((((o**(-1\/2)\/o)\/o)\/o)**(-2\/5))**6 assuming o is positive.\nAnswer: o**(-52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 6*n + 13*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -993767*u**3 - 2280585*u**2 wrt u.\nAnswer: -5962602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -220 - -318. Does 65 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -217 or -64149\/295?\nAnswer: -64149\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -68 + 74. Let z be 28\/(-98) - 23\/(-7). Suppose -z = -3*o, -4*f + 837 = h*o - 9. What are the prime factors of f?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13.2 + -2.8. Let c = -16.09 - w. What is c rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13066.81 decades to years.\nAnswer: 130668.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13600453429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 133924403*n**4*w + 2*n**3*w**2 + 256840599*w**2 with respect to n.\nAnswer: 535697612*n**3*w + 6*n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 PM and 11:35 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 658527000 rounded to the nearest 1000000?\nAnswer: 659000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 439 divide 8958398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, -0.2, 17, -19, -1, -13.\nAnswer: -19, -13, -1, -0.2, 2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -8*g - 1. Let s(c) = -3*c. Give s(u(o)).\nAnswer: 24*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*f**3 + 5*f - 5*f)*(3 + 4 - 6)*(-2 + 8 - 1) in the form u*f**3 + w*f + b + m*f**2 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10.7963 + -129703.7963. Let o = b + 129692.000016. Let t = o + 1. What is t rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**2 - 28*x + 33. Let u be j(13). Let n be 3*144\/(-56)*u. Are n and -54 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 2*c**2 + 1. Let t(i) = -i**2 - 2*i + 1. Let m be t(1). Let f be q(m). Let g be -3*(-4)\/6 + 0. Solve -4*p + 3*h - g = -2*p, -p + 3*h = f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46.39268 millimeters in meters?\nAnswer: 0.04639268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60112*s + 4797 = -59995*s for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 3:16 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(1584) - (sqrt(1584) + -3 + sqrt(1584) - sqrt(1584))) + -1) - (2 + sqrt(1584) + -4)*4)**2.\nAnswer: -1344*sqrt(11) + 25540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-5 + 5) - (33 + -38) - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44 divided by 72.\nAnswer: 11\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -34, -9274, 1 in decreasing order.\nAnswer: 3, 1, -5, -34, -9274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.5 + -5.50000012. Round u to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 0*a - 5*a + 6*a + 0*a. Let y = -6 - -8. Let k(w) = 3*w + w + y*w. Give d(k(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 22074 divided by 13\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10114\/179 + 9117457\/895. What is y in 1\/5*y**3 + 4107\/5*y + n + 111\/5*y**2 = 0?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 10:36 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 605083727 to the power of 1\/2, to the nearest integer?\nAnswer: 24598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 57*t + 4616. Determine f(-81).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.5806578 to 2 dps.\nAnswer: 4.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 5. Let q(b) = -b**2 + 2*b**2 + 1 + b - 2*b**2. Let i be q(k). Is 0 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -290426827*c**2. Let o(s) = 2*s**2. What is o(v(x))?\nAnswer: 168695483682575858*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + -4 - 1144\/(-195). Which is the closest to 4?  (a) 3\/10  (b) s  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 4*l = 3*h, 3*l - 4*h - 19 - 9 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1094 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 865*c**2 - 307*c - c**4 + 305*c + 768*c**2 - 2*c**3 as v*c**2 + x*c + s + h*c**4 + f*c**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 0*c = 4*c + 10, 14 = 2*x - 2*c. Suppose -5*a + 75 = 5*s, 0 = -5*a + x*s + 56 + 40. Calculate the remainder when 34 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1221 and 10175.\nAnswer: 30525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -182.4*-0.2.\nAnswer: 36.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 10980, 11001, 11036, 11085, 11148, 11225?\n\"Answer: 7*o**2 + 10973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 4*w. Suppose 5*f - 7 = -5*h + 3, h + 2*f = 5. Give j(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of q**3\/3 - 4*q**2 + 6*q - 1. What is the remainder when 9 is divided by x(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.5, 1, -49993\/5, 3\/4, -4, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 8 = 1. Suppose -a*w - 13 = -4*r, 5 = -2*r + 2*w + 13. Solve 4 = -5*g - r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (12 + 1)\/(7\/1988). Suppose -4*g - t + 2957 = 0, -t - 2*t - u = -5*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 980.991 kilograms to nanograms.\nAnswer: 980991000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/21*(-7)\/(-3). Let h(q) be the first derivative of -1 - u*q**3 + 5*q + 3\/2*q**2. Let o(k) = -k**2 + 2*k + 4. Give 2*h(m) - 3*o(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1472*z**4 - 2858?\nAnswer: 5888*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -5*c + 84. Let r(t) = -13*t + 251. Let v(p) = -14*h(p) + 4*r(p). What is the first derivative of v(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7459 + 7482. Solve c*x = 3*x + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.4073261 minutes?\nAnswer: 24439566000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -73*i - 127. List the prime factors of s(-37).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1492472999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of b**6\/120 - b**5\/12 - b**4\/12 + 5*b**3\/6 - 2*b**2. Let a(r) = r**3 - r**2 - 5. Let m be a(0). Let v = m + 10. What is x(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 1 - (14 - 1) - -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-4)*2 + -1. Suppose 42 = 76*w + 118. Is w greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*i**2*s**4 + 2743*i**2 + 1967*i*s**2 - s wrt s.\nAnswer: -24*i**2*s**2 + 3934*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -340*v**3 + 2*v**2 - 40*v.\nAnswer: -2040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrrw. What is prob of sequence rrr?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 81343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1312 + 2?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 99*l**2. Let r(f) = -26023*f. What is n(r(k))?\nAnswer: 67042456371*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*p*v**6 - 7*p*v**3 + 11*p*v**2 + 15*p wrt v.\nAnswer: 600*p*v**3 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 4. Suppose -2 = i - m. Solve i*f + 12 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 176160084?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 214 (base 16) to base 13\nAnswer: 31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.0545, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*y**4 + 1 - 1 - 2*y**4 + 0*y**2 + 0*y**2 + (-2 + 1 + 3)*(-y**4 + 0*y**4 - 2*y**4).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 5*k + 4*q - 15, 0 = -5*k + q + 48. What is the first derivative of -8*x**3 + k*x**3 + 1 + 2*x**3 + 11 wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*n**3*v**3 - 1107*n**3 - 16*n**2*v**3 - n**2*v**2 - 132*n*v**3 - 15*n*v**2 wrt v.\nAnswer: -78*n**3 - 96*n**2 - 792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/3 - 692*n\/3 - 464.\nAnswer: 2*(n - 348)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -48 + 69. Suppose -4*m = -m - b. Let v(o) = -o**3 + 7*o**2 + o + 3. Let p be v(m). Solve 5 = 4*c - h, 3*h = 4*c + 5*h + p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1290118 = -5*l - 2*j, -39*j = -40*j + 4. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2742 divided by 117262?\nAnswer: -1371\/58631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of v**6\/120 - 11*v**5\/60 + v**4\/24 - 13*v**3\/6 - 374*v**2. Give b(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 179*j**4 - 123*j**4 - 83*j**4 + (0*j**3 + j**3 - 7*j**3)*(0*j + 0*j + 2*j) + (-2*j**2 + 4*j**2 - 4*j**2)*(-6*j**2 + 0*j**2 + 4*j**2).\nAnswer: -35*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -933 - -931. Which is the nearest to 6\/5?  (a) -3  (b) -20\/7  (c) -1  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 0 - ((-4 - 9757\/1) + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from prff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -513*f**2*g*u + 254120*f**2*g - 2*f*g*u - 4*f*u - 2*f - 2582*g*u + 5*g + 98 wrt f?\nAnswer: -1026*g*u + 508240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -15 - 4619*s - 3*s**2 + 4*s**2 + 4633*s. Calculate m(-12).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46757 is divided by 46585?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -851*-470615\nAnswer: 400493365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = x + n, x + 2*n = 5 - 4. Solve 3*g - x*g = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/325 - -5194\/975. Determine v so that 14\/3*v**2 + f*v - 10\/3*v**3 - 8\/3 = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3582987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in 1\/3, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -107134 divided by 40?\nAnswer: -53567\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k**2. Let n(y) = -2*y**2 + 49*y. Give n(d(l)).\nAnswer: -8*l**4 + 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/(l**(-14)\/l)*l*l))\/l*l**1 assuming l is positive.\nAnswer: l**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = x + 5*v, -5*v - 52 + 4 = 3*x. Let n = 294183 + -294185. What is the third biggest value in -4, -4\/7, n, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9212, -36895, -83052, -147695, -230836, -332487, -452660?\nAnswer: -591367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 6 = p. Suppose 4*i - p*k = 104, -3*i = -4*k - 98 + 25. Suppose 5*h + 97 = 2*q + i, 0 = h + 2. Calculate the greatest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/7665*-21*-8?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2. Suppose 3*b - 4*z + 81 - 139 = 0, -5*b + 114 = 2*z. Let n(h) be the second derivative of b*h + 0 - 1\/3*h**3 + 0*h**2. Give p(n(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*d - 14 = 27*d. Determine r, given that -87*r - 4*r + 0*r**2 + 1352 - r**d + 3*r**2 - 13*r = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7277.163l to millilitres.\nAnswer: 7277163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -81 + 12. Let a = 49 + m. Let c = 3 - a. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 + -4. Factor -l*a**4 + 0*a**2 + 5*a**4 + 2*a**4 - a**2.\nAnswer: a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131 divided by -82?\nAnswer: -131\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1160000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 5*t + 8703. Let r = t - 78. List the prime factors of r.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24385214 to the nearest integer?\nAnswer: 4938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -27180, -31627, -39044, -49431?\n\"Answer: -1485*p**2 + 8*p - 25703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*p**2 + 3*p**2 + 3*p**2)*(-489 + 115 + 1141) + 2*p**2 + 7*p**2 - 8*p**2 to the form q + r*p + x*p**2 and give x.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -59 - -91. Suppose -4*y + s = -3*y. Let c(i) = 917*i + 4665. Let n be c(-5). What is the greatest common divisor of n and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1056113780.\nAnswer: 2, 5, 17, 431, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 26 - 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 126 = 9*v. Let y(l) be the first derivative of l**4\/4 + 13*l**3\/3 + 9*l**2\/2 - 9*l + 2. Let o(f) = 3*f**2 + 2*f - 2. Calculate v*o(i) + 2*y(i).\nAnswer: 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 - 33 = -15*s. Suppose a - 2*c + 117 = s*a, 2*a - 85 = c. Calculate the remainder when 117 is divided by a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -2 + 15 + -16 + 9 - -21\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 + 7 + m + 34 in the form w + l*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 4, 3, -3, 18, -0.11 in decreasing order.\nAnswer: 18, 4, 3, 0.2, -0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 3*j - 3570. Suppose 4*w = -3*w + j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*o + 244 - 137 + 233 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 144 = -d - 4*b, 60 = 2*d + 4*b. Suppose -82 = -5*z + d. Calculate the remainder when 43 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 600716393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of -j + 3. Let c(y) = 2*y**2 - 2*y - 3. Let k(l) = -2*a(l) + c(l). Let v(b) = -b + 2. Let g be v(0). Calculate k(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 158824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2134 - -448?\nAnswer: -1aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 17 = -3*k, 7*k - 14 = 3*l + 9*k. Let r be (-1)\/l - 12464\/(-64). What is the greatest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 260 = -6*d, 0 = -44*x + 41*x - 6. Let o(t) = 57*t - 60. Let y be o(18). What is the highest common factor of y and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 5*n**2 - 2*n - 2. Give r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -793*y**2. Let o(g) = 103*g**2. Calculate o(v(j)).\nAnswer: 64771447*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17df - -36?\nAnswer: -17a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.02 - -0.12. Let y = -0.19 + r. Let m be (-6)\/45 + (-132)\/(-315). Sort m, 1, y.\nAnswer: y, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-163 - -163) + (1 - 229). Which is bigger: -236 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 20*u**2 - 8*u + 18. Suppose -a + 4*n + 4 = 0, 4*a = -3*n - 2*n + 16. Is p(a) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 3. Let o(m) = -m + 4. Let u be o(0). Suppose -3*v + u*s + 15 = -11, 33 = 4*v - 5*s. What is the smallest value in k, v, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2963 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -6. Suppose -25 = -y*b - 0. Let c = b - -5. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 540 (base 8) to base 11\nAnswer: 2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 26882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)*-1*-2 + sqrt(119))\/(4*sqrt(7)*-5).\nAnswer: -3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 798 is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 31 - 544680?\nAnswer: -54464b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 773784913 to the nearest integer?\nAnswer: 27817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 585\/(-351)*7812\/4030?\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 8 = -5*y. Let p be ((-9)\/y)\/((-6)\/16). Suppose -p*r + 2*r = -32. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0*(-3 - (-10)\/5). Suppose 5*o - 4*o - 5*s - 23 = n, -4*s = -o + 27. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 - 9*p**2 - p - 10. Let z be k(-9). Put 0, z, 5, 1 in descending order.\nAnswer: 5, 1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 10:12 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 5 + -261 + 216\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 16 = -3*k + 4, -2*y - k = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 - -20. Suppose -19 - 91 = -r*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31\/3 at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132990?\nAnswer: 2, 3, 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/259, -3, 0.5, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001408565 rounded to 7 dps?\nAnswer: 0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3608 (base 14) to base 2\nAnswer: 10010011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.7 less than -105?\nAnswer: -115.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1216)*-1*3)**2 + (sqrt(114)\/sqrt(54) - ((1*sqrt(114) - sqrt(114) - sqrt(114))\/sqrt(6))**2).\nAnswer: sqrt(19)\/3 + 10925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, v: 3, g: 3}. Give prob of sequence pv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 3, 0.3, 8 in descending order.\nAnswer: 8, 3, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = 7*q - 686. Let u = q - -21. Suppose -s + u - 116 = 0. Is 1\/7 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -103.9 - -99. Let b = 0.1 - o. Let r = -3902 + 3902.2. Sort b, 1, r.\nAnswer: r, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*a = -19. Suppose -h + a = 2*g, 8*h - 40 = -5*g + 3*h. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.844999242 + -0.845. What is f rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-49869)\/60*38\/57. Let a = -554 - t. Let c = -5 - -2. What is the nearest to 11 in c, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 144 - 142. What is the second smallest value in 6\/5, 5, -4, q?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) 19  (c) -4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 127 and 856922594.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2102012222201 (base 3) in base 16?\nAnswer: -1396b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5616\/63 - (-1)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 12:11 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -74 - -224\/3. What is the nearest to -0.1 in 1.1, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 104 - 1201142?\nAnswer: -1201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -1, -31, 0.15, -0.5 in descending order.\nAnswer: 0.4, 0.15, -0.5, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/(-12))\/((-3)\/4431). Let j = -123 - o. Do 0 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000001459957 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.99 - 5. Let v = 0.49 - j. Which is the third biggest value?  (a) -3  (b) 0.3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2295967 + -0.111973. Let r = 0.1177 - g. Round r to 6 dps.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = -5*s - 20, 798*s - 787*s + 28 = -28*p - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 30*z - 12. Let g(r) = -90*r + 34. What is 6*g(f) + 17*t(f)?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s. Let o(u) be the first derivative of 25*u**4\/12 + 41*u**2\/2 - 49. Let z(t) be the second derivative of o(t). Calculate z(x(v)).\nAnswer: 100*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/6 and -97\/30964.\nAnswer: 92892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -7\/3*w - 2\/3 - w**2 = 0. Calculate w.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1301 greater than or equal to -1299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 188 = -7*a + 2*u, 24 = a + 3*u. Suppose 2*h - 232 = m, 4*h + m = 576 - 124. Let k = -60 + h. What is the highest common divisor of a and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/(-6))\/(-2) - 32\/(-24). Suppose -q = v*c - 73, -8*q + 203 = -5*q - 2*c. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2812115 and 68271.\nAnswer: 59054415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 131 minutes after 7:53 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-46368)\/(-15)*(5 - 55\/(-33))?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 6*d**3. Let t be h(-1). Let l(w) = w**3 + w + 1. Let i(o) = 0*o + 2*o + 5 - o - 4. Let g be i(0). Let s(j) = 5*j**3 + 5*j + 6. Give g*s(x) + t*l(x).\nAnswer: -x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(59\/245) - (-52)\/(-13). Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 9. Let g = 52\/231 + 2\/33. What is the closest to -1\/2 in t, g, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -3*i**2. Let o = -43 + 48. Let j(h) = -13 + 13 + o*h + 6*h. Determine l(j(m)).\nAnswer: -363*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2254471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 26384 divided by -97?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -2 - (8 + (1 - 11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 276 = -3*y, -11*x = -12*x + 2*y + 89. Is 26 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*g - 5730 = -12*g. List the prime factors of g.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/3 + 0 + -2. Let n(v) = 2*v**2 + 15*v - 10. Let g be n(-8). Sort -2\/9, t, g.\nAnswer: g, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 35*c - 305. Let v be k(-18). Let z be (-2)\/4*(-6)\/3. Let y be 14\/16 - (-1 + z). Is y at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1419 a factor of 117176763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -508 - -506. Let t be f + 17 - (-4)\/16*-20. Calculate the highest common factor of 4 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 2, 0.7, 0.3, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/(-2))\/(-9 + 6). Let z be (-2)\/15 - 160\/(-75). Let h be 1*1\/(-2)*z. What is the nearest to -2\/7 in h, b, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1225, 9782, 33013, 78256, 152849?\nAnswer: 264130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 13) in base 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/21, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2333, -4667, -6999, -9329, -11657, -13983?\nAnswer: -16307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 15052 - 77231 = -4*m, -5*m + 77693 = 4*g. Let f = m - 26041. What is f rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -702509*c**5 + c**3 + 184*c**2 + 285*c - 6.\nAnswer: -42150540*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 2105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3399 and 0.19?\nAnswer: 645.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -10, -2, -1619 in increasing order.\nAnswer: -1619, -10, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 71244\nAnswer: -142488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 7817*n**2 - 21*n - 15*n**3 + 16*n**3 - 7798*n**2 - 18. Let c be 6*((-20)\/(-3))\/(-2). Let a be z(c). Solve a*v - 7*v = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14308)\/56)\/((-2163)\/(-618))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 95 = 18. Calculate the greatest common divisor of c and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -29874.22 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/807*(((-1404)\/261)\/(-13))\/((-6)\/(-87)).\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6449123826*i - 6449123826*i + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {v: 1, z: 2, j: 1, p: 2, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*f + 8*f - 6*f - 90*f**2 + 1 - 2*f to b*f**2 + s + d*f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -14898969, 5 in ascending order.\nAnswer: -14898969, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 4*l - 11585. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -108\/437 - 9134\/23161. Find the common denominator of p and 1228\/(-48) + 2\/6.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of 7*f**2 - 1\/3*f**4 + 0*f + 5 + 0*f**3. Let p(h) = -9*h. Determine p(y(d)).\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -53*x**3 + 12*x - 20. Determine v(2).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (-3 + 4)) + 3 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 21*q**2 - 12*q + 130. Let s(f) = -5*f**2 + 2*f - 2. What is 4*s(x) + z(x)?\nAnswer: x**2 - 4*x + 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*d - 77*d = 14*d + 2376 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert c682 (base 15) to base 11.\nAnswer: 29597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -20*x + 84. What is m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-3*((5 + sqrt(700)*3)*5 - (sqrt(700) + -5*(-1 + sqrt(700)) + 3)**2).\nAnswer: -101151 + 7110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 4*d**2 + 4*d. Let x be z(-5). Let r(t) = 2*t - 2. Let g(w) = 3*w - 4. Determine x*r(f) - 3*g(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-12)*7*4\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/i**(-5)))\/i**(-2\/15))**(-2\/177)*(i**(1\/2))**(11\/6)\/(i\/i**1)**20 assuming i is positive.\nAnswer: i**(10319\/10620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119 is divided by (-180)\/80*8\/3 - -40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 + -12.8. What is the closest to 1\/4 in 3, l, 2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*(-10)\/(-350)*2*(1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -970 + -0.6\nAnswer: -970.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2379 and 28182.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0366418 + 0.084464. Let x = 1.5520628 + v. Let k = x - 1.6. What is k rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-6)\/(-3)) + 21\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 12:11 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25, -114, -215, -334, -477?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(1 - 1 - 3*g)*(-3*g**4 + 3*g**4 + 4*g**4).\nAnswer: -12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 10, 29 = 3*h - t - 33. Let s(d) = 10*d - 40. Let o be s(h). What is the highest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 107 = 162. Let h = t + -142. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*c + 0*c + 133 + 207 - 7*c in the form u*c + b and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 181 = 12*l + 145. Put 2, l, 0, -1 in descending order.\nAnswer: l, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -6*f**2 + f + 6. Give k(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c**4 - 11540*c**3 - 34715*c**2 + 115550*c = 0.\nAnswer: -5, 0, 2, 2311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + q - 433192 = 0, -30 + 38 = 4*q. Let t = -11938 - m. What is t rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 114950840 and 9760?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l - 1. Let a be d(-6). Suppose f - 34 = -3*t - f, a*t = f + 48. Calculate the remainder when 4\/10 + (-176)\/(-10) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8 - -54?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*q**3*v**3 - 4*q**2*v**3 + 2*q**2*v**2 + 142 wrt q?\nAnswer: 42*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -7. Suppose 32 = -f*t + 4*t. Calculate the greatest common factor of t and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 + d + 3. Let x be z(0). Let t = x + -4. Let s be -1 + t*0\/(-1). Is 1 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -154, -165, -33 in decreasing order.\nAnswer: -33, -154, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 516706.\nAnswer: 2, 258353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-38)\/14*7)\/((15\/3)\/5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -276 + 264.9. Let r = -11 - y. Which is smaller: 0.08 or r?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 6 + 2 + 3*y - y**3 + 6 - 10. Let u be v(-2). Is (1 - 135\/u)*-46 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 883 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7.36931 millilitres?\nAnswer: 0.00736931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -90282\/15793?\nAnswer: -90282\/15793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -7  (b) -16  (c) 63\/11  (d) 3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 + 44*a + 17. Let g be m(41). Let y be (4984\/g)\/(8\/10) - -4. Which is greater: y or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 - 3*i**2 - 6*i + 3. Let v be w(4). Let n(k) = -2*k - 8. Let p be n(v). What is the second derivative of 4*h + 8*h**4 + 20*h**p - 20*h**2 wrt h?\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ceqkeddzc. Give prob of sequence ekz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -12007*w**2 - 6*w + 36*w + 12006*w**2 + 96. Let q be b(33). Sort -0.5, -23, q in decreasing order.\nAnswer: -0.5, q, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 90.5 * -0.008.\nAnswer: -0.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a**2 - 18*a - 15. Suppose 2 + 24 = 2*i. Is b(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 246*b. Let a(n) = -44*n. Give j(a(x)).\nAnswer: -10824*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 4*v + 42. Let f be a(0). Suppose -4*q + 134 + f = 0. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/70 and -39\/77?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 - 7*b - 4. Let c be z(-6). Suppose 0 = 3*u + 2*u + c*h - 147, -3*h = -5*u + 142. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 468 = -2*t, -4*t - 8*z + 11*z = -964. What is the derivative of 95*y**4 + 35*y**2 - t - 65*y**2 + 30*y**2 wrt y?\nAnswer: 380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 26, 0.2, 2\/107, -8 in ascending order.\nAnswer: -8, 2\/107, 0.07, 0.2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, -3, 16, -1 in descending order.\nAnswer: 16, -1\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37 and 8177.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*x**2 + 93*x**2 - 47*x**2 - 25*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 + (-62)\/(-4))\/((-3)\/(-12))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62991003.\nAnswer: 3, 2293, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20.2 and -0.01?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (11358\/(-39753))\/((-4)\/(-238))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/13437 and -161\/9020706.\nAnswer: 27062118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 155498 a multiple of 383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 592740?\nAnswer: 2, 3, 5, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 84304 divided by 958\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 41 in 245, 0, -5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -227909.334 to the nearest one thousand.\nAnswer: -228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 3:20 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1249, 1241, 1233, 1225?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from xxxqqxq?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -161 - 10.1.\nAnswer: -171.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2073 + -2070. Let x = -2 + 5. Suppose -2*o = 2, o + 247 = y*b - x*o. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -l, 10*l = 5*b + 5*l + 15. Let m = -7\/3 + b. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1594901 (base 10) to base 3\nAnswer: -10000000210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w**3 - 22*w**2 + 44*w - 152. Determine l(6).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -470476, -470460, -470466, -470506, -470592, -470736, -470950?\nAnswer: -471246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42 - -237. Suppose r + 0*u = -5*u - 37, 4*r + 248 = 5*u. Let w = r + g. Is w a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 15*o**2 + 45*o + 45. Let g(f) = 7*f**2 + 22*f + 22. Let x(y) = 2*a(y) - 5*g(y). Factor x(n).\nAnswer: -5*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 9b?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 343 is divided by 89?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 226741383.\nAnswer: 3, 11, 19, 23, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -4*n**3\/3 + 57*n. Let v(r) = 15*r**2. Calculate v(j(b)).\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2*c**2 + 0)*(-3 - 2 + 2)*(-44 - 4 - 32) + (-3 + 4 + 0)*(-2*c**2 + c**2 + 3*c**2) as h*c + r*c**2 + d and give r.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -14*a**2. Let k(m) = -1340*m + 3216. Let c(j) = 3*j - 8. Let y(z) = -402*c(z) - k(z). What is y(r(u))?\nAnswer: -1876*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 59 in 29, 17866, 1\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22027 is divided by 92.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from {i: 4, h: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -u - 0*u - l, -u = 3*l + 6. Let k(o) = 9*o + 2. List the prime factors of k(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -67\/62  (b) 482  (c) 0.3  (d) 5  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -308 equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 4*s**2 - 3*s + 2. Let h(j) = j**3 + 5*j**2 - 4*j + 2. Let l = -2422 + 2426. What is l*d(n) - 3*h(n)?\nAnswer: n**3 + n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 - 62. Let w be l\/12 - (-42)\/(-18). Let x = -12 - -13. What is the nearest to x in w, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 194952539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.5+5.158\nAnswer: 5.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -9*d - 47. What is v(-16)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28.918 - 0.082. Let w = p - -29.5. Let h(j) = 4*j**2 + 2*j + 2. Let o be h(-1). Which is the fourth biggest value?  (a) o  (b) 2  (c) 0.02  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - 30863627?\nAnswer: -30863615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100122 + -18.75561.\nAnswer: 100103.24439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 0*g = 6. Let v be 1\/g*(-2 - -5). Is 1\/(1*v\/37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 22*s**2 + s. What is r(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -3*t - 12. Let z(f) be the third derivative of f**5\/60 - 270*f**2. Give r(z(y)).\nAnswer: -3*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of l**5\/12 - 5*l**3\/3 + 25*l**2\/2 + 2. Let a(o) be the second derivative of m(o). Differentiate a(d) with respect to d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-74)\/259)\/((-1)\/(-21)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 19, r: 1}. What is prob of picking 1 r and 3 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 1083009939*z**2 + 213129*z + 213129. Let t(j) = 10163*j**2 + 2*j + 2. Determine -2*f(l) + 213129*t(l).\nAnswer: 10149*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9058400 and 546050?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence achc when four letters picked without replacement from yhccacceece?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 24 - -28403?\nAnswer: 28427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 1608 = -7*m. Suppose m = 9*p - 3*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3030221 (base 5) to base 7\nAnswer: -262210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 38584800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 0.042.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b**2 + 43*b + 14. Give i(26).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from ppkbbjs.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 110, -1, -34, 5, -3 in decreasing order.\nAnswer: 110, 5, -1, -3, -12, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 - 169*x + 6609. Let g be o(108). Solve -22*s + g = 197 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j, 1 c, and 1 t when four letters picked without replacement from {j: 5, s: 3, m: 1, c: 3, t: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 14*c - 15*c. Suppose -c = -j - 0. Suppose -6 = -a - j. Solve -3 - a = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 626611 - 428604. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {c: 1, x: 2, p: 3, s: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16898 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3837*l**3 - 6668 with respect to l.\nAnswer: 11511*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -35*q - 1775. Let n be x(-66). Which is greater: n or 532?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of s**3\/3 + 18*s. Let m(b) = -36*b. Determine m(w(z)).\nAnswer: -72*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from zznpzpnjvbzzv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**3 - 14*a**2 + 16*a - 19. Let v be g(6). Let n be 0*(-1 + -2 + 2). Suppose -3*z = n, -5*y - z = -2*z + v. Put y, 9, -5 in descending order.\nAnswer: 9, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 47\/38 + 26\/171. Calculate the common denominator of v and 103\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 62, 91, 136, 203?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 271354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 20 + 4. Suppose 0 = 2*q - 3*x - 103, 0 = -g*x - x + 5. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/10 + 43*l\/2 + 225.\nAnswer: -(l - 225)*(l + 10)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**2 - 3*a - 6. Determine q(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 249634 is divided by 27733.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -249\/5, 1\/5, -2, -1, -5 in ascending order.\nAnswer: -249\/5, -5, -2, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i**2 - 2*i**2 + 7*i**2)*(0*i**2 - 3*i**2 + 5*i**2 + (-3*i + 33 - 33)*(i - 1 + 1)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 451423?\nAnswer: 7, 64489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -3*n - 1. Suppose -i - 3*j = 5, 4*i + 5*j = -6 - 0. Suppose -i = 3*w - 10. Solve 2*q + 4 = -3*u, -w*u + n*q + q - 32 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + g**2 - 3*g - 2. Let u be t(-2). Let o be 27415\/(u - (-1)\/2). Let j = o + -1830. Round j to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 20*l**2 + 5*l + 198974 wrt l?\nAnswer: 40*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 5*t. Let n(f) be the first derivative of -f**5\/40 + 8*f**3\/3 - 9. Let p(x) be the third derivative of n(x). Determine p(c(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3141)\/12)\/(1\/(-4)). Let t be (-4)\/18 - i\/27. Let c = 350\/9 + t. Find the common denominator of -34\/11 and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 4*h = 3, 0 = 3*y + 5*h. Let g = -1.8 - -2. What is the nearest to 0.1 in g, -0.2, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 143441152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3431?\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g**2 - 3*g**3 + 7*g**3 + 1 + 0*g**2 + 0 to s + c*g**2 + u*g**3 + o*g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 8.95. Which is the second biggest value?  (a) 3  (b) l  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 144.8724 - 144.4423915. Let y = p + -0.43. What is y rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19671 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13131 + 8322. Let m = 10831 + p. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -748, 74, 4, -4 in descending order.\nAnswer: 74, 4, -4, -748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 206b70c?\nAnswer: -206b70b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k**4\/6 - 37075*k**3 - 667445*k**2\/6 + 370775*k = 0 for k.\nAnswer: -5, 0, 2, 44493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 297142650 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 168 + -172. Let w = -6\/5 - -32\/35. What is the nearest to w in n, 1\/3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/63 and 209\/1050.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4003 smaller than 4005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bfx when three letters picked without replacement from fyrbxrfbfb.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 16 = -3*s, 602 - 594 = 2*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1618 - -3303\/2. Find the common denominator of 37\/4 + (3 - 2) and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + h + h)*(-2*h**3 + h**3 + 4*h**3)*(-3*h + 2*h + 2*h).\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/3)\/(459\/6723). Let c = y + -31\/119. Find the common denominator of c and -2\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -59*g - 1. Let b(v) = 7*v. Let c(u) = 5*u. Let y(r) = -3*b(r) + 4*c(r). What is y(d(o))?\nAnswer: 59*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 444 and 276732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2080*f - 4115.\nAnswer: -2080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n - 195*n**2 + 0*n - 320*n**2 + 491*n**2.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(700) + 2)*4)**2*-1*-5 + 5)*1.\nAnswer: 3200*sqrt(7) + 56325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -48180 divided by -10?\nAnswer: 4818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74213506.\nAnswer: 2, 19, 379, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j**3 + 81 - 2*j**4 - 4*j - 29 + 2*j**2 - j**2 + 18*j - 17*j to the form b*j + r*j**3 + g*j**2 + t + s*j**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 30\/(-2)*4\/(-12). Suppose h*s - 2 = 8. Suppose s*u = 3*u. Solve u = 4*k - 4*q + 1 + 3, -2*q = -3*k - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7)\/(10 - (2 - -7)) + 7332. Calculate the greatest common divisor of p and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of -3*a + 1\/84*a**7 + 0*a**5 - 1\/12*a**3 + 0*a**2 + 0 + 1\/30*a**6 - 1\/12*a**4. Factor y(v).\nAnswer: v*(v - 1)*(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -33 - 15*b + 33 - 4*b in the form f*b + u and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 < -22\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45, 82, 133, 192, 253, 310, 357?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2082149288 to the power of 1\/3, to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-13)\/(-2) - 1\/(-2). Suppose -t - 1 = -4*p. Let x(o) = 5*o**2 + p - 3*o**2 + o + 0*o**2 + 3*o. Give x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9619*a**3 - 12864*a - 4 wrt a.\nAnswer: 57714*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -64 - 62?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 188, 223, 258, 293?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - 64?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 675 and 11637?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - 5*k - 9. What is f(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 137 - 1093\/8. What is the biggest value in t, 2\/3, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14483639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 35.35531?\nAnswer: 176.77655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n - 2*n + n + (-1 - 1 + 1)*(n + 4*n - 4*n) - 5 - n + 5 - 3*n - 5 + 5 + 0*n - n + 6*n + (1 + 1 - 3)*(-2*n + 5*n - n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 12.\nAnswer: 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-31)\/(-93)*-462)\/(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3374435 (base 8) in base 11?\nAnswer: -576012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.12 + 2.12. Let u(a) be the third derivative of -a**4\/24 - a**3\/2 - 2*a**2. Let l be u(-2). Is z != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 480 = -480. Let x(g) be the third derivative of i*g**3 + 0*g**4 + 0*g + 0 + 35*g**2 - 1\/180*g**5. Factor x(t).\nAnswer: -t**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24 - -20. Let z be (1 - (-9 - -2)) + k\/4. Differentiate -5*r - z*r**3 + 6*r + 12 - r with respect to r.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7161 (base 8) to base 14\nAnswer: -14c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38\/101 + 367\/707. Let c = 4 - 2. What is the nearest to 0 in c, u, -10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 96*p - 22*p**2 - 96*p + (-p + 2*p - 3*p)*(4*p - 4*p - 2*p).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2973 and 15992758.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 802428841 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 500409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 12 = -5*j - 3*q, -5*j + q = 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.29 + 0.55. Let x be (-11)\/(6355\/248 + -27). Which is the closest to r?  (a) x  (b) 4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*r = -31*r + 480. Let o = r - 91. Let d(b) = 8*b**2 - 2*b + 1. Let k be d(1). Sort k, 0, o in ascending order.\nAnswer: 0, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 797*j. Let b(r) = -r**2 + 258*r - 5. Determine b(h(s)).\nAnswer: -635209*s**2 + 205626*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 4768141\nAnswer: 3\/4768141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z - 3 + 6 + 3*z. Let h(j) = -4*j - 2. Let m = -11 - -13. Give m*c(y) + 3*h(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 539559 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1543)\/(-3 + 2))\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of o**5\/60 + o**4\/24 + 4*o**3\/3 - o**2. Let b be v(0). Which is smaller: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + o + 17 = 3, 5*o = -z - 7. What is the lowest common multiple of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -151554504 by 6.\nAnswer: -25259084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1 from 0.348021964.\nAnswer: 0.248021964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40.07 - 27.07. Which is the second smallest value?  (a) 3  (b) i  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26760 + -26759.66106. What is f rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -406 = -12*x + 218. Suppose 8 = 15*n - x. What is the fourth smallest value in n, -9, 1\/6, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 76?  (a) -0.2  (b) -0.3  (c) 322\/3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4891065?\nAnswer: 3, 5, 23, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(1\/2)\/v*v)**28*(v**(-1\/4))**(5\/3))\/(v**(-6\/7)*v\/(v*v\/v**(1\/11)))**21 assuming v is positive.\nAnswer: v**(10385\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*c + 60*c + 349*c**2 - 31*c.\nAnswer: 349*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*f**3 - 13 + 13.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3*d + 1. Suppose -2*u = 2*h - 14, -u + 10*h + 19 = 14*h. Let o(c) = 3*c. Give u*o(a) + 2*n(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 142\/451 - 26\/2002*28.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 37\/5 of a century?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-62)\/6 - (-68)\/51. Suppose -1 = -4*t + 3*z, t = 4*t - 2*z - 1. Sort t, a, -5 in descending order.\nAnswer: t, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -251, -468, -605, -620, -471, -116, 487?\nAnswer: 1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((9216\/(-1040))\/192)\/((-2)\/(-5)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11 or -29?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6900*a**4*l**2 + 39*l**2 - 8 wrt a?\nAnswer: 27600*a**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 298 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 195326, 390642, 585930, 781184, 976398, 1171566?\nAnswer: 1366682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, d: 1, g: 2, j: 2, s: 5, n: 6}. What is prob of sequence njng?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 + 4*n - 2. Let k(z) = z**3 - 7*z**2 + z - 57. Let s be k(8). Suppose 0 = -3*x + 5*x + b + 9, -5*b = 5*x + s. Give a(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36774*v**3 + 18381*v**3 + 18390*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1864, 1936, 1964, 1924, 1792?\n\"Answer: -4*v**3 + 2*v**2 + 94*v + 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n\/n**(-6))\/n**(6\/5)*n**(5\/6)\/n**5)**27)**(-2\/11) assuming n is positive.\nAnswer: n**(-711\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Simplify (((j**49*j)\/j)\/j*j**(-3))**(-3\/14) assuming j is positive.\nAnswer: j**(-135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*y = -2*m + 1522, -2*m - y + 1022 = 0. Suppose -301 = -182*a - 16*a + 1679. What is the highest common divisor of a and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 152 + -53. Let s = p - 64. Calculate the remainder when s is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1759068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3927.\nAnswer: 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -427 at most 1.54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -19, -76, -171, -304, -475, -684?\n\"Answer: -19*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21112 (base 3) to base 4.\nAnswer: -3023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 9 = -12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 5 = -4*w - f, 0 = -w + 3*f - 15. Let j(b) = 2*b**3 - 95*b**2 - 51*b + 156. Let i be j(48). Solve -n - i + 11 = w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -2bb1a524?\nAnswer: -2bb1a525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - 11664.77961.\nAnswer: -11657.77961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114 is divided by 2*(5409\/198 + (-4)\/(-22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2623388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12525818 to the power of 1\/2, to the nearest integer?\nAnswer: 3539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2610*d**2 - 1866*d.\nAnswer: -5220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**3*x + 570*d**3 + 2*d**2 - 12*x wrt d.\nAnswer: 6*x + 3420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 6 + 0)*(1 - 2 + 0)*(-4 + 4 + j)*(6 + 4 + 5) to the form a + y*j and give y.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -582 - -750.5. Let p = -168 + f. Suppose -5*s = -s. Which is the second smallest value?  (a) s  (b) p  (c) -6  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 3*z + 33. Let v be i(-10). What is the second derivative of -11*l - 12*l**3 - 21*l**v + 2 - 22*l**5 + 31*l**3 wrt l?\nAnswer: -440*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 2. Calculate the common denominator of 49*(4 + -2 + l) and 1\/4 + (-161)\/36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 45 - 43 = 0. Suppose s*v = 2739 + 32389. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2 + 24\/10 + (-398)\/(-80) and 43\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3646 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 10*w**2 - 10*w + 6. Let l be h(9). Suppose -1679 = 8*c - 1711. Sort 2, -4, l, c.\nAnswer: -4, l, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*p - 2*p + 0*p)*(p**3 + 4*p**3 - 4*p**3) - 3 - 2*p**2 - 2*p**4 - 1507301*p + 1507301*p - 12*p**3 as t*p**4 + a*p + b*p**2 + w*p**3 + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of -f**8\/1344 + f**7\/504 + f**6\/24 + 6*f**4 - f**2 + 9*f - 1. Let a(i) be the third derivative of s(i). Factor a(k).\nAnswer: -5*k*(k - 3)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 13*x**2 + 19*x + 6. Let r be f(-14). List the prime factors of ((-6)\/(-2)*5)\/((-48)\/r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.02, -1, 7, -3\/20, 2\/5.\nAnswer: -1, -3\/20, -0.02, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/112)\/((-3)\/(-1474)). Let v = w - -326\/7. Let i = -14026 + 140143\/10. Calculate the common denominator of i and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122717155 is divided by 61358572.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3584800 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 665 is divided by 133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3*((-84)\/306)\/7 - (-1375)\/17. Suppose 5*f - 8 = 7. Suppose 84 = f*h - 4*t, -t = 4*h + 4*t - r. What is the common denominator of h and 19\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001811 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of -c**5\/3 + 423*c**4\/8 + 1393*c**2. What is the second derivative of x(q) wrt q?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*f + 113 - 113 + (-2 + 0 + 15)*(-f + 4*f - 2*f) as p*f + c and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.7*2859.\nAnswer: 2001.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 29651142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - w - 29 = z, -5*w = -5*z + 45. Solve -30 = -z*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 + 15*n**2 - 12*n + 18. Let v be z(-16). Let q = 99 + v. Suppose q*d = 52*d + 1. Sort d, 5, 4 in ascending order.\nAnswer: d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/130 and 56\/143.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27518120*c + 9172703*c + 9172705*c + 9172711*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 AM and 9:51 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2\/8*4\/(-6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-5)*(8 + -3). Let v be (g\/7)\/((-1)\/7). Suppose v*k + 5 - 3 = h, h - 4*k = -6. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16.8 - 4.1. Round c to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21.66 - 39.56. What is y rounded to 0 decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3 + v + 3. Let u(h) = 3*h**2 - 113 - 162 - 14*h**2 + 278. Give m(u(r)).\nAnswer: -11*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 46, 1, 2, 1375, 0 in ascending order.\nAnswer: 0, 1, 2, 46, 1375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - m + 3. Let s be f(0). Suppose w + 0*r + 8 = r, 0 = -3*w - s*r - 6. Let g(b) = b**2 + 3*b - 2. Calculate g(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 21818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3025 + 3022.058. Let y = 0.058 - m. What is the nearest to 6 in -0.4, y, 1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44189551 + -36\nAnswer: 44189515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/4761 and -41\/7314.\nAnswer: 504666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23212 (base 4) to base 14.\nAnswer: -3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4019*s - 162 = -4010*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.07 * -1.5\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*y**2 + 17449*y - 8716*y - 8733*y + 6*y**2.\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 36468980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of t**2\/2 + 2*t - 15. Calculate s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -2*a**4\/9 + 22*a**3\/9 - 28*a**2\/3 + 136*a\/9 - 80\/9 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 5*n + 48 = 0. Suppose 3*v - 28 = -3*x - x, -4*v = -16. Solve -x = -2*k - n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -97141898 divided by -916433?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8396*r**2 + 832*r - 19772*r**2 - 832*r to the form i*r**2 + a*r + h and give i.\nAnswer: -11376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 12 = 4*s - s, 4*s + 3*q = 16. Suppose g = 5, 4*k + 3*g - 24 = 55. What is the highest common factor of k and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17889 and 896259.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 8c5515 (base 14) to base 8\nAnswer: 22164477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of -u**5\/10 + 399*u**3\/2 + 3210*u**2 - 5646*u. Differentiate l(n) wrt n.\nAnswer: -6*n**2 + 1197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (83 - 70) + 2 + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 11:06 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -251*m**4 - 432*m**2 + 4*m + 3540079 wrt m?\nAnswer: -3012*m**2 - 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(3 + (-15)\/6). Find the common denominator of 3\/t*(-108)\/(-66) and -83\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3*g. Let a(b) = 10*b + 5*b + 42*b**2 - 24*b - 4*b + 11*b. What is a(x(o))?\nAnswer: 378*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -58*j**2 - 14597*j - 29202. Give o(-2).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b - 15. Let h be o(15). Suppose 2*p + p - 60 = h. Solve -3*m + 4*g = 15, p = -5*m - g - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/1032912 and -41\/16.\nAnswer: 1032912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 - -14. Let f be (p - 57\/12)*-8. Solve 0 = 2*k - f*j + 5*j + 5, -4*j = -3*k - 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b - 7*b = 6. Suppose 3*f - b*n = -27 + 205, 2*f - 115 = 5*n. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -10. What is the derivative of 49*s - 49*s + s**3 + f wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m**3 - 222*m**2 - 255*m + 3482. What is d(112)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = 2*s - 7, -1 + 0 = 3*k + 4*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-3 + sqrt(50)) + 2)**2.\nAnswer: -850*sqrt(2) + 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 5 + 4 = -2*a, -5*l + 5*a = -30. Suppose 0 + 8 = 2*f. Let g = l + f. What is the highest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -25*u**2 - 1060*u + 12778. Calculate c(12).\nAnswer: -3542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 6855, 16409, 32331, 54621?\n\"Answer: 3184*d**2 + 2*d + 3669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/6 and (-551)\/(-55) - (-2)\/11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -3*h**3 - 3*h**2 + 5*h + 9. Suppose v - 4*b = -3, -b = -0*v - v - 3. Is 8 a factor of s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196348 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21691 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 13) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 - 5)\/(-6 + (-21295)\/(-3550)). Suppose 6*v + 298 = s. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216199193 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 46375434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.81 - 19.11. Let q = r + 0.3. Let c = q + 17.000036. Round c to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of m**5\/20 + 7*m**4\/6 + 2*m**3 - 9*m**2\/2 + 5*m. Let x be b(-13). Solve 0 = 3*k - x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/(16 + (4578\/(-147))\/2)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 11:22 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 12, 0.5, 1, -215?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = -5*t + 19, -547*f = -4*t - 545*f + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21724650 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16933 is divided by 2820?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 2*m + 94, z - 96 = 3*m + 4*z. Let k = -89 + m. Let x = 261 + k. What is the highest common factor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 + 20. Let k(y) = y**2 + 2*y + 1. Let d be k(b). Let w = d - 35. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1010102221010 - -2012?\nAnswer: 1010110000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10a8 (base 12) to base 15.\nAnswer: -83b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 7) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m - r + 28, 193*r + 23 = 4*m + 194*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 33052 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*8\/10*(-450)\/1260?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 102 + 38. Let j = -26 + s. Suppose -m = m - j. Calculate the highest common factor of m and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*h - 6*h + 0*h)*(-4 + 2 + 3)*(162 - 17 - 9) in the form d*h + k and give d.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -186566  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - -2 - (-71 - -42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = h + 2*v, -3*h - 3*v - 28 = -109. Calculate the highest common factor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3  (b) 0.4927  (c) -2  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 138 and 9338?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7552131*t**2 + 15525585*t.\nAnswer: -15104262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -9*n**2 - 5*n - 6. Let o(x) = -13*x**2 - 7*x - 9. Give 7*m(v) - 5*o(v).\nAnswer: 2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*f - 2*f + 0*f + 1)*(0 + 0 - 2) to the form m*f + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 272349 + 272353 - 544713 - 4*x - 5*x.\nAnswer: -9*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 3*d**2 - 4296*d + 1532169. Calculate r(760).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 7*i**3 - i**2 + 3*i - 2. Is c(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -301*x + 156 = -275*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + 3. Suppose -4*d + d - 15 = 0. Let w = f + d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.1 - -5.14. Let y = a - 0.34. Is y <= -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 0*s - 304 = 0. Suppose 0 = -6*j + s + 8. Calculate the lowest common multiple of 8 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -976432 by -1.\nAnswer: 976432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + 15*i**2 + 20*i - 25. What is the units digit of u(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 499965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -11380*a. Let t(x) = -1101*x**2. Give v(t(q)).\nAnswer: 12529380*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - -20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 81.7997785 + -81.8. Round r to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218 - 2147 = 5*l. Let j = 44 - l. Find s such that -2*s**4 - 2*s**5 + j - 517 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 244256 (base 7) to base 14\nAnswer: 1242d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = u - 1. Which is the smallest value?  (a) u  (b) -8  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.9685 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 0.068?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 46 = 4*p - 6*p, 5*r = 4*p - 25. Let s = -6 - r. Suppose s*g - 4*m - 130 = 0, 3*g = -0*m - 4*m + 146. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 + 42*m - 243. What is c(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 11\/((-308)\/(-1533)) - (-2)\/8. Suppose 3*m + 6755 = 5*f + 1836, 0 = 3*f - 4*m - 2947. Suppose f = 6*j + p. List the prime factors of j.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -598*d + 596*d - 6*z = 18, -2*d - 16 = 5*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4290382 is divided by 3221?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmmmmmmdmdmmmmmmmd. Give prob of sequence mmm.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -14*q**2 + 37*q - 210. Give f(7).\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -2  (b) 0.1  (c) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 523 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -11  (b) 61  (c) -1\/5  (d) -2\/5  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1)\/(-9 + 10 + (-2064)\/2040)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 18*w - 66. Let d be k(12). Let i be ((-72)\/16 + d)\/((-9)\/312). Which is greater: -56 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 - -18. Sort 5, l, 9 in increasing order.\nAnswer: l, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 3*l + 33, -4*z + l - 9 = -2*l. Let d(j) be the third derivative of j**5\/60 + j**4\/8 - j**3\/3 + 4*j**2. Calculate d(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 33600840 to the nearest integer?\nAnswer: 5797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 224.8 + -225. Let w be 3\/(-18)*-3*24\/22. What is the nearest to -0.2 in w, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -8, 4683, -4, -1, -38 in descending order.\nAnswer: 4683, 1, -1, -4, -8, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -12, -4, 4, 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {w: 5, d: 2, z: 1, h: 2, b: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -229*n**3 + n + 229*n**3 - n**4 + 4 to i*n**2 + b + m*n + t*n**4 + c*n**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppb when three letters picked without replacement from bpppbb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from {b: 1, a: 2, j: 14, r: 1, s: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 264574219 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 5*g**3 + 7245*g**2 + 93400*g + 86160 = 0.\nAnswer: -1436, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 392 divided by -2.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 8 + -44 + 72 + -28.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24\/17 - -243\/136. Which is the third biggest value?  (a) 2\/11  (b) m  (c) 0  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 303082580 to the power of 1\/2, to the nearest integer?\nAnswer: 17409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.71 from -209692.\nAnswer: -209691.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, u: 2, e: 1, r: 5, p: 1}. What is prob of picking 1 h and 3 r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 13 = 4*r, 7*w - 3*r = 2*w + 7. Let v = 1 + -1. Which is bigger: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/v**(8\/9)*v**0)\/(v**2*v)**20)**(-14\/11))**49 assuming v is positive.\nAnswer: v**(33614\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 753, 1508, 2263, 3018, 3773?\n\"Answer: 755*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*i = 290285 + 355665. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0533 - -17.\nAnswer: 16.9467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -97, -213, -367, -553, -765?\n\"Answer: r**3 - 25*r**2 - 48*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74608*l**3 - 74633*l**3 - 1862929 + 1862929.\nAnswer: -25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -22305 divided by -4461?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -21*h**2 + 6*h - 57. Let y(a) = 64*a**2 - 16*a + 172. Let m(z) = 8*p(z) + 3*y(z). Find the first derivative of m(r) wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/6)\/(360\/135)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of -i**7\/840 - i**5\/30 - 5*i**3\/3 + 4. Let j(z) be the third derivative of n(z). Find the second derivative of j(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 71862229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-9))\/((-10)\/45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(13) + -1) + -3 + (sqrt(13) - (2 + sqrt(13))))*2 + 6*(-4*(4 + 2*sqrt(637)))**2.\nAnswer: 10764*sqrt(13) + 246122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 6 - 2)*(58 + 19 + 23)*(3 - 6 + 2)*(-2 + 2 - x).\nAnswer: -1700*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -214*j + 212*j - 2*g, 4*j - 100 = -20*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3301481492 to the nearest integer?\nAnswer: 57459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8866298m in kilometers?\nAnswer: 0.0008866298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 646 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 75 - 35. Let p(m) = m**2 + 30*m + 210. Let s be p(-25). Let x = s - n. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 765 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**2 + 76*p - 155. Let z be v(2). Let a(w) = w**3 - 10*w**2 - 37*w - 14. Give a(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*q = -40*q + 128. Solve 5*w = 4*d - 4 - 14, 0 = 5*d - 3*w - q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201220 - -1002011001?\nAnswer: 1001102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 + 33*w - 145. Calculate g(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = t - 23, -4*t + 2*t = 4*o - 4 - 10 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**2 - 2*v**2 - v**3)*(-2*v**2 + 2*v**2 + 2*v**2) - 4*v**5 + 6*v**5 + v**5 + 20*v**5 - 74*v**2 + 74*v**2 - 376*v**2 + 376*v**2 - 26*v**5 + 5*v**4.\nAnswer: -5*v**5 + 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 13*w**2 - 13*w + 16. Let q be r(-14). Suppose 4*m - p = 16, -q*p = m - 3*p - 7. Solve 13 = m*t - n, -2*n = 3*n + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -214 + 354*x + 214 to the form i + k*x and give k.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16429 is divided by 530?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - 2*d**2 + 86*d + 45. What is b(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3598530 is divided by 250.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 10, -5, -1666 in descending order.\nAnswer: 10, 3, -5, -1666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4 + -0.2. Let w = -559.2 - -559. Which is the third biggest value?  (a) d  (b) -2\/3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2 and 3338133.\nAnswer: 3338135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-84))\/(6\/18)*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 416563\/186864 - 1\/15572. Calculate the common denominator of 25\/16 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - y**2 + 1)*(0*y + 2*y + 0*y)*(8*y**2 + 3*y**2 + 0*y**2) + (-3*y - y + 3*y)*(y**2 - y**2 + 4*y**4).\nAnswer: -26*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3000855 is divided by 55571?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 - 23. Suppose u*q = -q + 108. Let l = 31 - q. What is the least common multiple of l and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41 + -40. Solve 3*b - 2*g = o - 5, -5*b - 2*g + 20 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*8\/3192*(-3)\/(-1).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 955245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -17*i**3 + 11*i**2 - 13*i. Let y = -3 + 16. Let r(x) = 5*x - 1. Let l be r(-1). Let n(c) = -8*c**3 + 5*c**2 - 6*c. Determine l*d(o) + y*n(o).\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/1*(17280\/512)\/(-27)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 6. Let g(d) = -d**3 + 14*d**2 - 6*d - 78. Let a be g(13). Solve r*l - 15 = 2*f + a, -f + 11 = 3*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 31 = -7*y. Suppose m + 6*d = y*d + 90, 3*d + 145 = 2*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that a**3 + 63*a**2 - 129*a + 65 = 0.\nAnswer: -65, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 3, 4, -5 in increasing order.\nAnswer: -5, 3, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 21658 = -34429. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 4*t**2 - 33*t - 29. Let i be f(9). Which is the nearest to -0.2?  (a) -5  (b) -7  (c) -4  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -5*k. Let b(h) = 8*h - 7. Let s(i) = -4*i + 12*i - 1 - 2*i - 5*i. Let n(t) = -2*b(t) + 14*s(t). Calculate p(n(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 46*g**2. Let x(w) = 116*w**2. Determine b(x(i)).\nAnswer: 618976*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(-37)\/g*g*g**(3\/14)*((g*g**(2\/81)\/g*g)\/g)\/g*g**8*g assuming g is positive.\nAnswer: g**(-31481\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10120 - 1102100?\nAnswer: -1021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -7346, -7329, -7312, -7295, -7278, -7261?\n\"Answer: 17*w - 7363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of -1\/2*u**4 - 2\/15*u**5 - 2*u**3 - 1\/120*u**6 + 0 + 0*u - 8*u**2. What is the remainder when 67 is divided by t(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000046102188 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(3\/7)\/h)**(12\/11) assuming h is positive.\nAnswer: h**(36\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of 0*a**4 - 1\/3*a**3 + 0 + 4*a**2 + 1\/60*a**5 + 0*a. Differentiate o(k) wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*l + 1029 + 292 = -265 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 12*j**2 - 19*j + 13. Let b be q(-10). Suppose 6*c + 2*f = 4*c, f - 2 = 0. Let p = 7 + c. Solve 3 = -y + 2*z - 4, -b*z = p*y - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 140 and 2881466?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81.9 - -0.5.\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 920 and -2\/37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2583979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-146)\/(-60))\/(-1) + 4690\/1407)*(-600)\/72.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*p - 4*p + 27*p + 18*p as o + i*p and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + (-152 - -161) + -19*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/(-175)*860\/516.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - 32*y**2 + 169*y + 828. Calculate n(23).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 + 2. Let k(t) = -t**3 - 7*t**2 - 15*t - 16. Let y be k(-5). Let j = b - y. Solve 0 = -x - 2*c - j*c + 9, 4*x + c - 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.02 - 48.62. Let s = 45.3 + x. Sort -1, 0.5, s in increasing order.\nAnswer: -1, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -63 + 188. Let a(j) be the second derivative of 7*j**3\/6 - 45*j**2\/2 + 6*j + 2. What is the remainder when o is divided by a(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2557, 5111, 7665, 10219, 12773?\n\"Answer: 2554*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3585*a**3*i**3 + 3*a**2*i**2 + 2*i**3 - 31*i**2 wrt a.\nAnswer: -21510*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -174 (base 8) in base 6?\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 781 = -z + 774 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 6*l + 5 = 0, d + 479 = 2*l + 494 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45 and 87045.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 7)*(f - 2*f - f)*(9*f**3 + 8*f**3 + 0*f**3) in the form g*f**2 + d*f**4 + s + a*f**3 + m*f and give d.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 110011110001010010100 (base 2) to base 6\nAnswer: 100205420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + 74. Let p be x(9). Let r = p - 130. Calculate the remainder when r is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32593968 divided by -1810776.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38142753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 AM and 6:25 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 2:04 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -750*a + 750*a - 56 + 12 - 22*a**2 in the form o*a + s + u*a**2 and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iif when three letters picked without replacement from igbbgzbfbbbibiibib.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/304 and -9\/40.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -0.04. Let g = p + 1.96. Let u = 18702 - 18699. Is g greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -15 + 33. Suppose s*r + r = 330. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 3*l + 2. Let i be u(2). Let p(w) = -w**2 + 5*w - 4. Let g be p(i). Suppose -34 = -2*y - g*y. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -169539687520336 plus 2?\nAnswer: -169539687520334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -75922, -151927, -227918, -303889, -379834?\n\"Answer: l**3 + l**2 - 76015*l + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 12:05 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + -6 + 10 - (-6 - -25)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8650*u + 8356*u + 12821 - 21372 - 17321 for u.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uhuahahu. What is prob of sequence huhu?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 4:15 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 43 - -97. Calculate the greatest common factor of 28 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11*-0.4003\nAnswer: 4.4033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from tatggx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 75036*k**5 - 209*k**3 - 83329476*k.\nAnswer: 1500720*k**3 - 1254*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of -b**8\/42 - b**6\/60 + 149*b**5\/60 + 9649*b**4\/24 + 15*b**2 + 129. What is the second derivative of o(m) wrt m?\nAnswer: -160*m**3 - 12*m + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1630 divided by 1\nAnswer: -1630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*l - 6 - 17*l**2 - 3*l**3 + 3*l**2 + 2*l**2.\nAnswer: -3*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8*d**4 + d**3 + 33*d**2 + 100916?\nAnswer: -32*d**3 + 3*d**2 + 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 - 6*c + 4. Let y(h) = 1. Determine -r(d) + 5*y(d).\nAnswer: d**2 + 6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 3*h**2 + 2*h + 9. Let t be c(-6). Let r(m) = 3*m**2 + 47*m - 166. Let l be r(4). What is the greatest common divisor of l and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1084112 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26 - (1 + (27 - 29))) + -49?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.41 - 43?\nAnswer: -32.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from {n: 2, u: 2, q: 1, k: 1, t: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13765 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -72 and -518821785.\nAnswer: -518821857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -31*q. Let r(d) be the third derivative of d**7\/2520 - d**5\/20 + 17*d**4\/24 + d**2. Let j(h) be the third derivative of r(h). Calculate s(j(l)).\nAnswer: -62*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 140 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -45283, -45282, -45283, -45286, -45291, -45298, -45307?\nAnswer: -45318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8579133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) 14  (c) 0.3  (d) -1\/31  (e) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203893035.\nAnswer: 3, 5, 151, 90019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 647.\nAnswer: -5\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.099 - 17.601. Let g = j - -18. Which is the third smallest value?  (a) g  (b) 5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 5 = 4*i - 8, -2*i = 5*n - 1. Solve 2 = 2*o - i*x, 1 = -o + 3*x - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 143231\/9570 - 2\/(-60).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225*u - 79*u - 74*u - 3*u - 72*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24290 divided by -135.\nAnswer: 4858\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 88 = -4*o, -o - 5*z + 14 + 24 = 0. Suppose -q = 5*q + o. Does 10 divide (-12)\/(-9) - 56\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15108769983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -193 + 281. Let q(m) = -m**2 + 9*m + 8. Let f be q(9). Calculate the greatest common divisor of y and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 80*h - 15. Does 55 divide s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -121692, -243475, -365258, -487041, -608824, -730607?\nAnswer: -852390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.83562325 rounded to 4 decimal places?\nAnswer: -0.8356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 11*b**2 - 12*b - 1. Let s be c(-12). Suppose 5*m + 2*n = 30, -2*m + 5*m - 22 = -2*n. Sort s, m, 1.\nAnswer: s, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -18, 4, 0.1, 21, 2\/15?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/(-2) - -5) + 0. Let h be (-1)\/(2\/(-6)) + 2. Suppose -v*d + h*b = -24, 4*d = 3*d - b. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -m - 3*u, 4*u + 26 = -m + 13. Which is smaller: -5\/24 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.12 + -3.88. Let y = u + 2. Let o = -1.7 + 2. Sort y, o, 2 in descending order.\nAnswer: 2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 415 divide 3916355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-992)\/(-186)*(-6)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 20*o + 5. What is j(3)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**0)**(14\/3)\/(c*c\/c**(-2\/11))**(-19))**(-2))**(-1\/8) assuming c is positive.\nAnswer: c**(114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-2 + 8) - (5 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 466 is divided by 45?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 12*g**2 - 28*g + 7. Let c be w(9). Sort 4, c, -12.\nAnswer: -12, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -3.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 7:24 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*v - 72*v + 1 = -q, -2*q - 2 = -v. Let z = -7 - -7.07. Let i = z + -3.07. Which is the closest to -23?  (a) v  (b) i  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 2, -4\/7, 0, 29?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31 - -33. Suppose c*s - 6*s = -16. Suppose s = 3*n + 2*n - 4*t, t = -1. Solve -3*f = -o - n*f - 17, -4*o = f + 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 + 9*p - 14. Let l be n(6). Factor 8\/3*w**2 + 2\/3*w**5 + 8\/3*w**4 + 0 + 2\/3*w + l*w**3.\nAnswer: 2*w*(w + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 19*j**2 + 17*j - 147. Is 43 a factor of z(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g - 1. Let r be (-2)\/9 + (-408)\/108. Let n be c(r). Suppose v - 16 = -3*z, 107 = 5*v + n*z - 21. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*u**3 + u**3 - u**3 + 2 - u**3 - 2 + (2 + u**2 - 2)*(4 + u - 4) - 2 + 2*u**3 + 2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v*v**(5\/3))**(5\/3)\/((v**(-1)\/v)\/(v**(-5\/4)\/v)))**(-5\/8))**35 assuming v is positive.\nAnswer: v**(-36925\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9936.1 - -9933. Let i = 21\/260 + 1\/52. Let f = 12 + -11. Which is the smallest value?  (a) i  (b) s  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a - 4*o + 43 + 145, -72*o = 10*a - 1435 - 1629 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4884739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 - (-18)\/(5 - 2). Suppose 0 = -5*g - 10 - 5. Let a = -6 - g. Sort -1, p, a.\nAnswer: a, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 606473.57 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 53 + -76. Let q = -20 - v. Let h = 2.999997 - q. Round h to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 24\/14 + 8\/28. Suppose -5*y = -6*y - w. What is the units digit of -9*(-1)\/3 + (-4)\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(125) + (-2 + sqrt(125))*-1)**2 + -5 + sqrt(180) + sqrt(5) + (sqrt(45)\/sqrt(3))\/sqrt(3).\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-5 + (sqrt(99) - (sqrt(99) - (sqrt(99) + 3))) - ((1*sqrt(2200) - sqrt(2200)) + sqrt(2200))\/sqrt(2)) + -1)**2 + 1)*-5.\nAnswer: -2745 - 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {x: 19, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14340035 is divided by 715?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*x**2 - 27*x**2 + 4*x - 28*x**2 - 2*x + 2*x**4 to s*x**2 + k*x**4 + m*x + y + r*x**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -255 - 5*p + 104 + 75 + 76 - 5*p**2.\nAnswer: -5*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/1)\/((-4)\/(-4)). Let g(b) = -3*b**2 - b**2 + 3*b**s + 0*b**2. Let d(n) = 5*n. What is g(d(c))?\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-13685)\/1564)\/(25\/(-12)))\/(48\/5).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {d: 1, t: 4, n: 2, c: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 1 = -7. Let f be (-4)\/b - (0 + 2). Let c = -46.2 - -42.2. Sort c, f, -2 in decreasing order.\nAnswer: -2, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -725, -1301, -1549, -1307, -413?\n\"Answer: 27*p**3 + 2*p**2 - 771*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 21\/12*-1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1880 - -1883. Solve q + h*n + 0 = -3, 8 = -4*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-911)\/(-2) + 9\/18. Suppose t*p - 452*p = 0. What is the nearest to 0.2 in 25\/4, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y + 10. Let l be a(9). Let d be l - -2 - (-3 + 13). Let z(o) = -o - 5. Let n be z(d). Solve -n = -4*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81941 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(171) + 3)**2 + sqrt(171).\nAnswer: 27*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 - 1555*z - 380306. Calculate a(-304).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-24)\/14)\/(60\/(-58170))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/(-4) - 51\/6*-6. Let m(x) = 2*x - 3*x - u + 49. Let y be (-2)\/(2 - 20\/9). Let t(j) = -5*j. Calculate y*m(w) - 2*t(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35819 is divided by 180.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -23*h. Let d(s) = -9*s + 4*s + s. Let z(l) = 34*d(l) - 6*q(l). Let r(m) = -m + m - 2*m**2. Calculate z(r(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -8\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f - 6. Let d be p(-3). Is 39 - 0 - d\/(-12) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9537?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24931*j + 374 = 24953*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7.247546ml?\nAnswer: 0.007247546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -426470 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jrrr when four letters picked without replacement from {s: 4, n: 3, j: 4, r: 8}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6211 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (4*(-2 + sqrt(112)) + 3)**2 + (((sqrt(112) + sqrt(112) + 0 - sqrt(112)) + sqrt(112))*-3 - (4 + 1 + sqrt(112)))**2 + -3.\nAnswer: 120*sqrt(7) + 7323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, o: 1, y: 4, u: 10, b: 1}. What is prob of sequence oyy?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*h**3 - 7041*h**2 - 999*h - 5 wrt h?\nAnswer: 18*h - 14082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 3*k**3 - 102*k**2 + 369*k - 270 = 0.\nAnswer: 1, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 + 9*t - 3. Let i be v(8). Suppose 0*d + 97 = 5*d - j, -i*d = 2*j - 91. What is the remainder when d is divided by 2\/(18\/14 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2229)\/((-216)\/32 - -6).\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 d, 1 f, and 1 t when four letters picked without replacement from {t: 1, f: 1, e: 2, d: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 1.44, 1, -3 in decreasing order.\nAnswer: 4, 1.44, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1591308 to the power of 1\/2, to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3596592844 + -5?\nAnswer: -5.3596592844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5772.659kg in grams?\nAnswer: 5772659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/392154 and -4\/3.\nAnswer: 392154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = v + 2*i, -17 = 3*v - 6*v + 4*i. Let t = 20.2 + -20. What is the second smallest value in v, t, 33?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**3 + a**3 + a**3 + (a + 3*a + 0*a)*(4 - 4*a**2 - 4) + 3*a**3 + 2*a**3 - a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**1\/t)\/t)**(-48)\/(t\/t**0)**(15\/2))\/(t*t\/(t*t**(-2\/5))*t*t\/t**(2\/17)*(t*t*t**4\/t)\/(t\/(t*(t*t\/t**(-3\/7)*t*t*t)\/t)*t)) assuming t is positive.\nAnswer: t**(-22861\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 244522 divided by -102.\nAnswer: -122261\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 75\/2 of a millennium?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -198*u. Let s(h) = 94*h**2. What is f(s(j))?\nAnswer: -18612*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-7)\/(a\/a**(1\/4)))\/(((a**(-5\/2)*a)\/a)\/(a\/(a*a**(-2\/7)*a))))**22 assuming a is positive.\nAnswer: a**(-1837\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.6107ml in litres?\nAnswer: 0.0316107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71599374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192709.\nAnswer: 11, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4623534 is divided by 121.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-704 + 275 + 292)*(3 + 2 - 2)*(2*a**4 + a**3 - 2*a**4 - 2*a**4).\nAnswer: 822*a**4 - 411*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - ((11 - (11 - 0)) + (3 - 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 225022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2 - 1028*q + 264196.\nAnswer: (q - 514)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**7*o**(-17))\/(o**9*o*o*o\/((o\/o**(-3))\/o)*o) assuming o is positive.\nAnswer: o**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4409527.\nAnswer: 4409527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 466*p**2 + p - 33. Is z(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 6 - 3)*(5*v**3 - 5*v**3 - 3*v**3) + 2*v**3 + 0*v**3 - 5*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**3 + 2*l**3 - 5*l**3)*(-9 + 8 + 17).\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 52041696*r**4 - 117564359.\nAnswer: 208166784*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 3*p = -2 - 0, 0 = -3*o + 5*p - 2. What is the second derivative of o + 2*l - 4*l**5 + 0 - 1 wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 208\/(-234)*(-12)\/(-7408). Let w = -7796569879 + 75806048852941\/9723. Let l = t - w. What is the common denominator of 93\/8 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 21*a**2 + 45*a + 177. What is the remainder when p(23) is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*k + 3 = 0, -w + k = -4*w - 4. Put 5, 1, w in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + -4. Suppose 12 = 4*k, -5 = -w*j + 6*k - k. Suppose j*s = s + 16. Solve 0*b - b = -s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(21\/(-49)) + -7. Suppose x = -b - 0*b - 5*b. Solve 4*z = -w - 19, 4*z + b*w - 2*w + 10 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480758 to the power of 1\/2, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**2. Let g = 437\/162 + -5\/162. Let f(t) be the first derivative of g*t**3 + 0*t + 0*t**2 + 1. Calculate f(z(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do -15 and -15 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, -52, -14618\/621 in decreasing order.\nAnswer: 4\/5, -14618\/621, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7272*k**2 - 4267*k**2 + 787*k**2 - 6840*k**2.\nAnswer: -17592*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -318814 (base 10) to base 7\nAnswer: -2465326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.8, 17.57 in ascending order.\nAnswer: 0, 0.8, 17.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - -2 - (-49 - -50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11.18 - 0.18. Let l = 12 - y. Which is smaller: l or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 7301947, 14603890, 21905867, 29207896, 36509995?\n\"Answer: 3*g**3 - g**2 + 7301925*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1710 and 9768.\nAnswer: 2783880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4*y**2 + y - 1. Let z be w(-2). List the prime factors of z + 3 + (-4 - -2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 804545.8 grams to tonnes.\nAnswer: 0.8045458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 741 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21867 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4066 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 133*k**3 + 165*k**3 + 5*k**4 + 138*k**3 - 532*k**3 + 743*k wrt k?\nAnswer: 60*k**2 - 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (52046 + 6 - 6) + (3 - 2). Suppose 60*n = 29493 + a. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -64020, -63812, -63604, -63396?\n\"Answer: 208*q - 64228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -115806 plus -1.5718381?\nAnswer: -115807.5718381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -466674820 by 41095.\nAnswer: -11356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 866819 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1331336*c*u - 8617684*c wrt u?\nAnswer: 1331336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2443*x + 4868. What is m(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 3, -3, -5, 41, -595, -2 in decreasing order.\nAnswer: 41, 11, 3, -2, -3, -5, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-1)\/(-1 - 0)). Suppose 2*o - 3*r + 4 = i, -2*o - 3*r = -15. Suppose 496 = 4*l + o*z, -z = -0*l - l + 131. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3457 - 3443. Suppose 0 = 4*f - 4*d, -2*f - 20 = -3*f - 3*d. Suppose -f*r + 80 = 10. Is r smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1))**17*(t**(-1))**(-17\/3) assuming t is positive.\nAnswer: t**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35819 is divided by 85.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9812 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-12\/7)*u**(-5\/3) assuming u is positive.\nAnswer: u**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from doodhhjhjdooo. What is prob of sequence dh?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0036 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l*l\/(l**0*l))\/(l\/(l\/(l\/l**(-4\/5)))))\/((l*l*l**1*l)\/(l\/l**(-6))))**(-3\/2) assuming l is positive.\nAnswer: l**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = -5*i + 41. Let h(u) = -u**2 - 7*u - 6. Give h(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -9*p - 4. Suppose -5*w - 482 = 2*l - 458, -4*l + 8 = -4*w. Let i(j) be the first derivative of -40*j**2 - 35*j - 1. What is w*i(q) + 35*g(q)?\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13820\/7 or -1975?\nAnswer: -1975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 6*o - 8. Let l = 23 - 19. Let q be r(l). Let z = q + -13. Solve 4*c - 2*p + 8 = 0, -z*c - 2*p - 1 = -9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 + 6*y - 3. Suppose -20 = 2*u + 3*f, 0 = -u - 0*u + 5*f + 3. What is the units digit of n(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 - -13. Let a(g) be the second derivative of 0*g**3 + 2*g + 0*g**2 + r*g**5 + 0*g**4 + 0*g**6 + 1\/168*g**7 + 0. Factor a(u).\nAnswer: u**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -30 - -30.3. Let t = 31 + -26. Which is the fourth smallest value?  (a) -3\/2  (b) y  (c) t  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r - 15. Suppose -3*v + 3*y - 12 = 0, 12 = v + 5*y - 10*y. Let c be -3*1 + (13 - v). Let h be x(c). Solve -f - 7 = -2*b, 16 = -5*f + h*f + 5*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 0.4, 0.6283792, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 121800000 = 9*z. What is z rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-6)*2\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*o + 44068*o**3 + 35591*o**3 + 12*o - 6*o.\nAnswer: 79659*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -o + 4*k + 8, 5*o + 13 + 1 = 2*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccomddcmmd. Give prob of picking 1 c and 1 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z + 1. Let o(v) = -2*v + 3. Let l(g) = -2*g**3 - 69*g**2 + 27*g - 279. Let s be l(-35). Determine s*o(d) - 2*r(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of a**5\/100 + a**4\/20 - a**2\/2 - 3*a. Let n(j) be the first derivative of q(j). Let n(p) = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 43 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, 2172, -1 in descending order.\nAnswer: 2172, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 73010.65 rounded to the nearest 1000?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 5, b: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 2*p - 3. Let s = 5 + p. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4524613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (8 - -2)) + 4 + (-6 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1782348732.\nAnswer: 2, 3, 19, 677, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -4*m**2 - 8 + m + 3*m**2 + 7*m. Suppose g + 2 = 2*l, -g - 2*l + 3*l = -1. Calculate the least common multiple of r(6) and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 + -0.7. Let s = y - -1.1. Suppose 0 = -8*m + 3*m + 15. Put m, 2, s in ascending order.\nAnswer: s, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.1444208 to three dps.\nAnswer: -2.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 130 - 103. Let y = r + 69. Is ((-10768)\/y)\/(2\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 414 - 414. Factor f**3 - 2\/3*f**4 + 4\/3*f**2 + z - 1\/3*f**5 - 4\/3*f.\nAnswer: -f*(f - 1)**2*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 38?  (a) 1\/2  (b) -0.7  (c) -11  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 6*i**2 - 7*i. Let a be h(-5). Suppose 3*l - 14 = a. Suppose l = 4*j - 2*w, -5*j - 4*w - 10 = -46. Solve 14 + 6 = -j*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84, 203, 332, 471, 620?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 101747.94, 0.25, -0.4 in increasing order.\nAnswer: -0.4, 0.25, 101747.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23340 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 221713747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17666 and 92444.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 18*h**2 - 11*h - 39. Let a be l(17). Find the common denominator of 1\/18 and (a\/378)\/(15\/(-154)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*4*sqrt(70)*3*-2)\/((-2*sqrt(110)*5 + sqrt(110) + sqrt(110) - sqrt(110))\/(sqrt(99)*-4 + sqrt(11))).\nAnswer: -88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/20 and (-32 + -5)\/(-2 - -36).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**4 + 14*d**3*s + d**3 - 26*d**2*s + 8*s - 3 wrt d.\nAnswer: 24*d + 84*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10706 by 1.\nAnswer: -10706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2091.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -34 + 43. What is the least common multiple of 16 and r?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of 0*o**2 + 0 + 1\/6*o**3 - 17*o. Let z(g) = -4*g**2. What is b(z(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3511 - -3535. Solve 7*b - w*b + 34 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -12*n + 8*n. Suppose n*f = -0*f. Let t = 19 - f. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1675, 3358, 5015, 6640, 8227, 9770, 11263?\nAnswer: 12700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48627160 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 10) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -92.01 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = 4*y - 3*d, -3*y = -5*y + 3*d - 50. Let l = y - -35. 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: Let f(c) = 7*c**2 + 4 - 20*c**2 + 14*c**2 - 63*c + 74*c. Calculate f(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3087048 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.3 + 1. Let w = 0.19 - -0.09. Let c = 0.08 - w. What is the second smallest value in -0.09, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24420 - 610 = -664*s - 1126 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 147945 less than 1.3682762?\nAnswer: -147943.6317238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7484 + -5722. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/10010 and -7\/245927.\nAnswer: 223793570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 210, 204, 202, 210, 234, 280, 354, 462?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 10:40 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 48*h - 96. Let a(n) = -3*n + 6. Let m(s) = -33*a(s) - 2*j(s). Suppose -7 + 22 = 5*c. Let t(k) = -k - k - c + 7. What is -5*m(y) - 8*t(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/9 or -7448?\nAnswer: -7448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -6483413 * 0.1\nAnswer: -648341.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - k - 44 = 0. Let j(z) = -2*z**2 + 4*z + 5. Let m = 6 - 8. Let c = m - -6. Let t(y) = -5*y**2 + 11*y + 14. What is c*t(u) + k*j(u)?\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.025 + -5.975. Let s = 532 + -533. What is the biggest value in p, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -0.2, 3.6, -27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34 - 39. Is -7 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, -2\/15, -4, -3, 13, 1.9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 200303 (base 4) in base 10?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17024 + 4*k**2 - 658*k**3 + 17024.\nAnswer: -658*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 4, 2*i = -3*f + 4*i + 164. Let h = f - 49. Suppose -x + 12 = 2*b + 3*x, 0 = h*b - 3*x + 9. Solve b*v - 2*v - 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1799d + 5?\nAnswer: -17998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -24  (c) 181392  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.739, -2, 0, 1 in decreasing order.\nAnswer: 1, 0.739, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1480 - -2200. What is the derivative of -v*n**2 - 23 - 88 + 8*n**4 + 718*n**2 wrt n?\nAnswer: 32*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yvir when four letters picked without replacement from {y: 1, i: 1, w: 2, v: 1, x: 2, r: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 + -28 - (0 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(264)\/(sqrt(6) + sqrt(6)*-2) - sqrt(44))\/((sqrt(196) - (sqrt(196) + -2*sqrt(196))) + sqrt(196)) + -3 + -1*sqrt(176) + sqrt(11) + -5 + 2.\nAnswer: -65*sqrt(11)\/21 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -64*i + 325. Let g be a(5). Let v(o) = 292*o + 277. List the prime factors of v(g).\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 745832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1412107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 184516 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 384757889 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/182)\/((-5500)\/(-14300))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 7. Let w be 6\/3 + (0 - -1). Let l = w - b. Calculate the greatest common divisor of l and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 + (8 - 9) - 7) + (-3 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1724 >= 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q + 71. Let y be u(-22). Let m(f) be the first derivative of 2 + 1\/12*f**3 - 1\/8*f**2 + 1\/16*f**4 - 1\/20*f**y + 0*f. Let m(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 495462 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43\/15 - 43721\/15330. Is 0 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of 551*u**4\/3 + 8941*u**3\/6 + 2*u**2 - 9*u + 85. Find the first derivative of q(x) wrt x.\nAnswer: 4408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - (-3)\/(-6)*-14. Suppose f*n + 0*n + 5*j - 130 = 0, 5*j = 2*n - 24. Solve 3*o - 8 + 42 = 5*a, -5*a + n = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1686*g = 206*g - 111628 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 22\/3 - (-4)\/6. Suppose -12 = -5*g + v. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -492.1726 rounded to the nearest integer?\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + 9 - (-63 - -46)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -67 - -37. Let t = -23 - y. What is the greatest common divisor of 14 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3289278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-122)\/671 - ((-56)\/(-55) - 0)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7756 or 8264?\nAnswer: 8264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 612779873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmommmommmmommmmo.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 - -2)*(-1 + 2). Calculate the remainder when 3 is divided by f\/(-2 + 6\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4475 - 4294 - (77 + 1).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -28, -42, -56, -70, -84?\n\"Answer: -14*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 - 22*k - 115. Let g be t(35). Is -2112 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -173*m = -72*m - 78*m + 115 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 12, 5 in decreasing order.\nAnswer: 12, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3300341.\nAnswer: 11, 197, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1255 (base 6) to base 13\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4*s + 0*s = 0. Solve s = 5*t + 5, -3*d = t - 3 + 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 368756 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38744, 38743, 38738, 38729, 38716?\nAnswer: 38699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 161795, 161890, 161985, 162080?\n\"Answer: 95*i + 161700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 16 = -0*u. Let f(t) = -10 + 10 + u*t + 0*t. Let j(d) = 118*d + 113*d - 229*d. Determine f(j(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228204234 is divided by 1868.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 682680.5 decades to millennia.\nAnswer: 6826.805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40498 + -20960. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 3*s - 30. Let m be a(6). What is the lowest common multiple of (33\/m)\/((-1)\/12) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 827602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) - (sqrt(432) - -4*1*sqrt(432)))**2 + sqrt(432) - ((2*sqrt(432))**2 + -5) - (-5 + sqrt(432)*2 + sqrt(432) - (1 + sqrt(432)*-2)**2).\nAnswer: -72*sqrt(3) + 6923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 9:03 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21064, 21107, 21160, 21229, 21320, 21439, 21592, 21785?\nAnswer: 22024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -k**4\/24 + 5*k**3\/6 + 10*k**2. Give a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4*v + 3\/4*v**2 - 3\/4 + 3\/4*v**3.\nAnswer: 3*(v - 1)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3986669 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(2\/21)*o**8)**10 assuming o is positive.\nAnswer: o**(1870\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 344453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 11*f - 15*f - 1716, -868 = 2*f + 4*n. Let u be (-1 - f\/660) + 4\/22. Let q be (-6)\/(-15) + (-4)\/10. Put u, q, 0.1 in ascending order.\nAnswer: u, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1501, -1573, -1647, -1723, -1801?\nAnswer: -1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 783.1511 + -0.1511. Let x = -776 + r. What is the second smallest value in -0.06, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3408845 = 881*h + 3497826 for h.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3907, -3857, -3773, -3655, -3503?\nAnswer: -3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -219 - -223. Let q(o) = 5 - 3*o - 4 + 4*o + o**3 - 4*o. Let d be q(2). Solve -d*j - 16 = -7*j, -p*g + 2*j - 12 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 9, c: 2}. What is prob of sequence ccj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-630)\/(-1680) - (604\/(-96) + 3).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9048.057 rounded to the nearest integer?\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/44 - (-96)\/44. Let t(a) = -100*a - 94*a + 2*a**b + 194*a. Let g(l) = -111*l. Determine g(t(h)).\nAnswer: -222*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 94 + -176. Let q = -27 - l. Calculate the remainder when q is divided by -2*1\/((-2)\/19).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 158*c**2 - 912*c + 10. What is i(152)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -34687, -69243, -103801, -138361, -172923?\n\"Answer: -u**2 - 34553*u - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1787861301?\nAnswer: 3, 595953767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 84791197 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 135*z**3 - 2*z**2 + 6*z - 4. What is the units digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 258669823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 395030 and 22?\nAnswer: 4345330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(759\/92)\/11*20\/(-18).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1373)\/5 + (-10)\/25. Let k = y - -278. Let m(x) = 3*x - 1. What is m(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69403.4 nanometers to meters.\nAnswer: 0.0000694034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 13*m - 1440. Suppose 0 = 22*w - 12204 - m. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -11\/42  (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - 58*u**2 + 26*u - 1955. Determine f(-59).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 16 = -v - 21, 5*u = 2*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y - 7*y + 4*y + 0*y + 0*y - 2*y - y + y + y + y + 2*y - y + (4 - 2 + 0)*(0 + 2*y + 0) + y + 0*y - 3*y + 2 - 2*y - 2)*(4 - 3 - 2) + 3*y - 2*y - 2*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15097 is divided by 388.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101595?\nAnswer: 3, 5, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 42764120 rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -1610*c + 37091. Give y(23).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177410 is divided by 88615.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 c when three letters picked without replacement from {e: 1, u: 1, c: 2, k: 2, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32848.\nAnswer: 2, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10886\/7 + 1548. Calculate the common denominator of f and -15\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48, 96, 132, 150, 144, 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -233996 * -81.\nAnswer: 18953676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.369 * -0.5.\nAnswer: -0.6845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(4\/13)*f)\/f*f**(-15)*(f**8*f)**(-21) assuming f is positive.\nAnswer: f**(-2648\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/4 - 18052*o + 216660.\nAnswer: -(o - 12)*(o + 72220)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from {c: 6, w: 3, h: 1, i: 3}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/8*d**5 + 3\/8 - 9\/8*d**4 + 3\/4*d**2 - 3\/4*d**3 + 9\/8*d.\nAnswer: -3*(d - 1)*(d + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of 2*w**3\/3 + w. Let p(d) be the third derivative of 1\/6*d**4 + 0*d + d**2 + 0*d**3 + 0. Determine x(p(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2122848616 divided by -4.\nAnswer: 530712154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uzm when three letters picked without replacement from {u: 1, m: 1, q: 1, j: 1, z: 1, f: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 6 + (1 - (3 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2420 divided by -4?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 77\/(-2) + ((-91)\/(-26))\/(115\/460).\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -6503*w + 24360. Give g(4).\nAnswer: -1652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 58 - -84. Calculate the remainder when i is divided by 64.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express t**2 + t**2 + 0*t**2 + 15*t - 6*t + 2*t**3 + 3 in the form x + z*t**2 + k*t + w*t**3 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -186*-18998.\nAnswer: 3533628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3379 (base 11) in base 12?\nAnswer: -26a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 42 - 41. What is the third smallest value in 7\/4, t, 3\/5?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 12:16 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 - -1959.\nAnswer: 1958.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2335 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -10. What is the fourth biggest value in f, 5, 3\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 25 = 3*m, -2*i = -m - 11 + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15575 + -3 + (-90)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 11233?\nAnswer: 11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 + 38. Suppose -h - 4*q = 4, -q + 8 - k = 3*h. Let m(g) = -g**2 - 5*g. What is the units digit of m(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1011168 by -8.\nAnswer: 126396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -66 - (4 + 5 + -8 + -5 - 6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/6 and 27\/53240.\nAnswer: 159720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 506146.32 minutes to days.\nAnswer: 351.4905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -6*k - 21. Let m(l) = -6*l - 24. Let h(b) = 5*m(b) - 6*s(b). What is h(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 10*r**2 + 7*r - 100. Suppose 1 = m - 5*u, -5*u = -4*m + 10 + 24. Is h(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + 1. Let p(g) = -g**2 + 11*g - 6. What is -p(q) + 3*v(q)?\nAnswer: -2*q**2 - 11*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -8*m + 639 - 7*m - 663. Let n(u) = 2 + 2 - u - 5. Let w(c) = d(c) - 18*n(c). Differentiate w(b) wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90 = -271*x + 277*x - 5*p - 38, 19 = -5*x - 8*p + 150 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11855?\nAnswer: 5, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrvrvrrr. Give prob of sequence vvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*q + 3*j, -3*q = -6*q + 2*j. Suppose 3*m - 2*z + 16 = 0, q*m + 4*z - 16 = -0*m. Let r be (0 - 2)*m*1\/4. Solve -5*x - 4 = r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1 + 0.08. Let s = 51844.0199974 - 51844. Let d = v + s. What is d rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 758*f**3*l**3 - 671*f*l**3 - l**3 wrt f.\nAnswer: 4548*f*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 7) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11340 and 7938.\nAnswer: 79380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.8005 to 1 dp.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 42, 46, 62, 96, 154, 242?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 1168*f**2 + 116*f - 114. What is a(1)?\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3552\/14400 + 2\/(-25)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n**2 - 12*n**3 + n**2 - 4*n**2.\nAnswer: -12*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (4 - -4 - (5 + -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13.5?  (a) -5  (b) 0.5  (c) 3\/10  (d) -4  (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 78 - 82. Put w, 3, -5, -2 in descending order.\nAnswer: 3, -2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -67*p**5 + 206*p**3 - 12*p**2 - 4081*p.\nAnswer: -4020*p**2 + 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8c - -aa9?\nAnswer: b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1057 and 12254858.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 94, 4, 5 in decreasing order.\nAnswer: 94, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -2*f**2\/5 + 2354004*f\/5 - 692666854002\/5 = 0.\nAnswer: 588501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*a = -26*a - 30*a - 820 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23075 = a + 2*o, -333*a + 335*a - o - 46165 = 0. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*p + 10817251 = 121*p - 25686495. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 0 - (183 + -122 + -42)) + -56.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6931, 24237, 51921, 89983, 138423, 197241, 266437?\n\"Answer: 5189*b**2 + 1739*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26527393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 30, -742, -2318, -4698, -7882?\n\"Answer: -402*a**2 + 434*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v. Let j(q) = -q**3 + 10*q**2 - 6*q + 3. Let b be j(9). Let y(o) = -205*o**2 + 203*o**2 - 34 + 91 + b. Give f(y(d)).\nAnswer: -2*d**2 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 - -8) + 22 + -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 7*y - 25. Let d = -12 - -38. Suppose 0 = -2*m + 2*b + d, 3*b + 2 = -4. Let r(v) = 4*v - 13. Let s(z) = m*r(z) - 6*w(z). Differentiate s(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40 + -38. Suppose 3*k = 2*j - 234, j + 254 = 3*j + v*k. Suppose -3*q + j - 78 = 0. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2913397?\nAnswer: 149, 19553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 779 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**4\/9 + 1792*k**3\/9 - 52642*k**2\/3 + 266820*k - 1126656 = 0.\nAnswer: -978, 9, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 - 22. Suppose 5*f = y + 28, -4*f = b*y - 9 - 2. Suppose -2*t + 4792 = j, -f*t - 14420 = -2*j - j. Round j to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -3 - (-5 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 4480000 = 7*c. Round c to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 340 is divided by 179.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.07 + 0.03. Let f = -28903\/116 - 1525\/29. Let o = f - -85689\/284. Is o less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 726*n**3 - 3*n**2 + 14*n - 10. Does 18 divide x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5603 + 5616. Let o = 3103 - 3090.07. Let q = s - o. Round q to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17.01 - 17. Let s = 0.17 + k. Let b = 0.17927 - s. Round b to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2289610 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.789 less than -0.012287?\nAnswer: -0.801287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -115?  (a) 0.2  (b) 4.2  (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 + -10. Let t(h) = h**3 + 15*h**2 + 9*h - 6. Let d be t(-14). Suppose 8*s + 16 = d. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 11, b: 9}. What is prob of sequence bggb?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 245*x - 202 = -122 + 1145. What is l in -3*l**x - 33\/2*l - 33\/2*l**4 - 3 - 69\/2*l**3 - 69\/2*l**2 = 0?\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/1370016 and -25\/17182.\nAnswer: 165771936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 103*p - 106*p + 63. Suppose p = -9*u + 246. Find the second derivative of -3*s - 5*s**5 - 19*s + u*s**5 wrt s.\nAnswer: 400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 1:37 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 319430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7\/(-4 - 247\/(-39)). Which is the nearest to -0.2?  (a) i  (b) -66  (c) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 7*d**2 - 1. Let a be u(7). Let f(z) = -z**4 - z**2. Let q(p) = -2*p**4 - p**2 + 2. Let x(c) = a*f(c) + q(c). Differentiate x(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40629532, -40629560, -40629586, -40629610, -40629632, -40629652?\nAnswer: -40629670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -9*y**4 - 17*y**3 - 3*y**2 + 5*y + 5. Let f(k) = 28*k**4 + 52*k**3 + 8*k**2 - 16*k - 16. Let w(l) = 5*f(l) + 16*p(l). Factor w(z).\nAnswer: -4*z**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*g**2 + 41 - 41 + (2 + 0 + 0)*(2*g**2 - g + g) - g**2 + 6*g**2 - 3*g**2 to the form t*g**2 + b*g + f and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k - 25. Let z be w(14). Suppose -z*x + 12*x = -35. Calculate the smallest common multiple of 2 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -79 - -112. What is the greatest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y**3 + 0*y**3 - 4*y**3 + 4*y**3 - y + 17481738*y**2 - 17481768*y**2 + y.\nAnswer: 2*y**3 - 30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -s**7\/21 - 37*s**6\/45 - 18*s**5\/5 + 56*s**4\/9 + 160*s**3\/3 + 48*s**2 + 10*s + 27. Let j(r) = 0. Calculate r.\nAnswer: -6, -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 + 13*k - 11. Suppose -2*m = 5*x - 0*m + 27, -5*m - 5 = 0. Let s(d) = d**2 + 2*d - 5. Let j be s(x). Is o(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2853317903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (150\/(-200))\/((-2)\/8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 2 = -3*c, 0 = -5*b + 6*c - 3*c + 8. Suppose 0 = 5*x - 3*x. Let f be (-2)\/(-4)*x*1. Which is smaller: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of -2*x**2 + 1\/3*x**3 - 8 + 2*x. Calculate t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72)\/84)\/((-12)\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 77230571023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 80.145839 - 74.19486. Let c = 5.95 - b. What is c rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -471676000 rounded to the nearest 1000000?\nAnswer: -472000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 PM and 6:55 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 100\/30*1*(-3)\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, 23\/3, -0.06192 in increasing order.\nAnswer: -0.06192, -0.01, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d\/(d\/d**15))*d*d**(4\/7) assuming d is positive.\nAnswer: d**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - v - n = -162, 0 = -3*n - 6. Let o = v - 11. Let u = o + -13. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -255285 divided by -51057\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - 2*z - 10. Let k(j) = -j**2 + 3*j + 15. Let q(d) = 4*k(d) + 6*x(d). Let l(f) = -899 + 123*f + 899. Give l(q(t)).\nAnswer: 246*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ojjjjgjjewggoe. What is prob of sequence wggo?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8258669 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1499\/3465 + -2\/495. Which is the biggest value?  (a) -0.3  (b) -5  (c) m  (d) 1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/5 - 116*h**2\/5 + 140341*h\/5 - 195272.\nAnswer: -(h - 317)*(h - 7)*(h + 440)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 5:52 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -13*-0.31\nAnswer: 4.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 153*m**2 - 3134 + 3135 - 153*m**2 - 783*m**3 + m to the form k*m**2 + v + s*m + y*m**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*k + 27. Solve 2*b = k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-309)\/412)\/(2\/8*33)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3598 = -942*p + 601*p - 2114 + 3972 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31 - 22.7. Let b = -43.8 - -42. Let u = b + j. What is u rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((3*(-3)\/(-81))\/1)\/(-3)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -362.193768 to 0 dps.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-3) + 43\/3. Suppose 4 - 2 = i. Suppose i*v - v = 2. Solve -2*f = -2*p + 8, 3*f + v + x = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + 5 + -4 + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12319 - 12314. Solve 4*c = q*k - 11, -3*k - 5*c + 14 = -0*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 64, 97, 154, 235, 340, 469?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32.1 - -32. Which is the closest to q?  (a) -4  (b) -3  (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/4)\/((-2)\/1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -343987 and -1024301.\nAnswer: -1368288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/12 - 19\/(-57))\/((-5)\/(-1290)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 5 = 4*p, 4*p - 2*u + 7*u = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 300 = 72*y - 12*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 5*n**2 - 4*n + 7. Let i be c(4). Let h be 4 + i\/(21\/990). Let y = h + -111. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/70*7)\/((-945)\/90).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-4)*2 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293573720 to the power of 1\/3, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2330*t + 13412 = -1220*t + 45362 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u**3 - 3*u**3 + 2*u**2 + 4 - 2 - 3*u**2 in the form s*u**3 + k*u**2 + d*u + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -75527760 rounded to the nearest ten thousand?\nAnswer: -75530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -646 = -51*i - 472 + 693 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*z + 56*z + 21 = -58*z + 2*v - v, -40 = -5*z - 4*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 886\/7 - 126. Let a = 80 - 75.1. Let t = a - -0.1. What is the third biggest value in b, 1\/6, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2. Let i(k) = -2*k**2 + 7*k. What is a(i(f))?\nAnswer: -4*f**4 + 28*f**3 - 49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1698901883 less than 100.4?\nAnswer: -1698901782.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**5\/3 - 4*r**4 + 20*r**3\/3.\nAnswer: r**3*(r - 10)*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -96103 (base 10) to base 2\nAnswer: -10111011101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - -12 - 18) + 442\/(-44).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 575680 (base 11) to base 12\nAnswer: 381777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 12*b**3 - b**2 - 4*b + 1. Let x(m) = -35*m**3 + 12*m**2 + 13*m - 3. Let v(u) = -3*p(u) - x(u). What is v(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1)\/((-2)\/60) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {l: 4, x: 10, o: 1, p: 2, s: 1}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*x**2 - 27*x**3 + 27*x**3 + 15*x**5 wrt x.\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23080 + 23080. What is the closest to 2 in -1, 3, -15, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 4:15 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4238*p + 2092*p + 5*p = 291410 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2 - 18 = 0. Suppose 2*l - 7*l = -m. Let z be (-6)\/l*8\/21. Are 0 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11, -50, -117, -212?\n\"Answer: -14*n**2 + 3*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 4:35 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -523143, -523149, -523159, -523173, -523191?\n\"Answer: -2*g**2 - 523141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 66 and ((-176)\/10)\/(-1) + 10\/25.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 3*x - 56, -80 = 5*w - 9*w + 3*x. What is the highest common factor of w and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 6*n + w = -631, -4*w + 794 = 5*n. List the prime factors of n.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, 1\/2, 79, 2, -0.1?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1212063351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.03 - -3.97. Let h = 158 + -229. Let s = h + 68. Which is the nearest to -3?  (a) s  (b) -2\/3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376.2636um in centimeters?\nAnswer: 0.03762636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -5*a + 2289, -3*a - 410 = 2*u + 751. Let j = u + 1696. Round j to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of 15\/2*p**3 + 1 - 11*p + 35\/12*p**4 + 5*p**2. Find r such that f(r) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 10698, 21421, 32156, 42909, 53686?\n\"Answer: a**3 + 10716*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -17  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -38 + 84. Suppose 6*p - 7*p = -v. Suppose -p*x = -41*x. Solve x = 2*s - 2 - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 5*v - 12 = 0. Let j(o) = 2*o**2 + 2*o + 1. Let p(x) = x**2 - 8*x + 20. Calculate the remainder when j(v) is divided by p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/3  (b) 3\/2  (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 465\/(-10)*178*8\/(-24)?\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.24825 rounded to 3 dps?\nAnswer: -0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22022011021 + 1202?\nAnswer: -22022002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 50 + 12 = 3*x, 5*x - 98 = -2*b. Let y = x + -13. Solve -g - 12 = -4*d + 6, 3*d - y = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 3201011203312?\nAnswer: 3201011203301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 123811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.3, -1, 0.067, 132, -2\/9, 3?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*m - 28 = 16*m. Suppose 15*h - m = 46. Suppose -4*z + 3*l = -32, 11 = 3*z + 2*l - l. Solve 0 = -z*a - 5*w + 5, 0 = h*a - w - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 8*i + 72. Let d = -5 - -5. Suppose -2*t - k + i - 3 = 0, -t + k + 3 = d. What is the smallest common multiple of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 184*s - 3*s = 362. Solve 0 = 2*x - 3*o - 9, -4*o - 20 = s*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/1 + 48\/(-3). Find the common denominator of (-112)\/(-6) + d\/24 and 2\/(-3) - 50\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*v**2 - 2\/11*v**4 - 224\/11*v + 28\/11*v**3 - 128\/11.\nAnswer: -2*(v - 8)**2*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-1\/2)\/l*l)\/l)**(1\/28))**(-42) assuming l is positive.\nAnswer: l**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xaaxaxraxxrarakaxa. Give prob of sequence aa.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 0.7352.\nAnswer: 0.3676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3*w**2 - 2*w - 55. Calculate o(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 10 = l - 5*d, 4*l = -2*d + 32. Solve -5*n + 4*s = -7, 5*n - l - 3 = 3*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000750652074 rounded to 5 dps?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 16 = k, 2*k = -0*k + 3*u + 22. Let t = k - 6. Suppose -t*a + 40 = -0*a. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 + 6*u + 3. Let f be b(0). Let -9*m**4 + 136\/3*m**2 + 16\/3 + 9*m**5 - 80\/3*m - 24*m**f = 0. What is m?\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 + -6. Suppose 9 = b*d + 21. Suppose 0 = -h - v + 1, -h - 515 + 506 = -4*v. Sort d, 1, h.\nAnswer: d, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -2. Suppose -4*s + 2*z - 8 = c, -20 = -0*z - 5*z. Suppose s*l = -4*l - h + 32, 5*h - 20 = 0. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.18137 + -0.28137. Let m = -2\/221 - 428\/1547. What is the nearest to 1 in w, m, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2, -0.1, -0.8, 1.096?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s + 19. What is i(19)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26776 - -12576. What is n rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 7*p**3 - 3*p**2 - 20*p + 26. Let t be f(7). Suppose 5*m - 700 = t. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3*(-4*-1*sqrt(35))\/sqrt(5).\nAnswer: -12*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 1) + -4 - 5 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -11100110010101010011 (base 2) in base 3?\nAnswer: -1202221011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of u**5\/30 + 19*u**4\/4 - 118*u**3\/3 - 643*u**2. Factor p(l).\nAnswer: 2*(l - 2)*(l + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/2 in -5, -1\/5, 0.9, -2\/13, -1.7?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/329 + -632\/4277. Which is the second biggest value?  (a) -0.7  (b) 0.1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*h**3*q - 13520711*h**3 - 2*h**2*q - 132604890*h + 2*q wrt h?\nAnswer: 48*q - 81124266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 2, -o - o = -5*p + 14. Is 38*(-1)\/o*1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 39*y**2 - 7*y + 29. Is n(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and 2242.\nAnswer: 2241.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 903*v - 880*v - 575. Solve v = 216*r - 211*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -12, -1, -32, 0, 5 in ascending order.\nAnswer: -32, -12, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**1*a*a)**(2\/35)\/((a**5*a)\/(a**(-2\/3)\/a*a)))**(1\/6) assuming a is positive.\nAnswer: a**(-341\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 537.3128um to nanometers.\nAnswer: 537312.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*z + z. List the prime factors of z*((30 - 2) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2448\/204 + (-45)\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*c + 2*x = -15*c + 14, -3*c - 2*x - 7 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5764899535 + 5764899560.03002297. Let n = c + -25.03. Round n to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.8 in 3, 245\/4, -2, -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (42\/(-14))\/(0 + 6\/(-10)) - -6336 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 + 6*u + 5. Let x(t) = t**3 + 5*t**2 + 4*t + 3. Let c be x(-4). Suppose -a - 9 = -o, -3*o + o - 5*a - c = 0. Calculate z(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*(0 - (-2)\/(-3)). Let a be 16\/6 - 8\/12. Let v(f) = f**3 + 3*f**2 + 3*f - 4*f + 0 - a. Calculate v(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -90  (b) -2\/9  (c) 0.5  (d) 3\/7  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 11 + 10*y - 6*y**2 + 5*y**3 + 4*y**2 - 4*y**3 - 6*y**2. What is the units digit of x(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) + sqrt(136) + -5*sqrt(136))*-6)*-3)\/(-2*1*sqrt(1152)).\nAnswer: 19*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 58 + -34. Suppose 3*c - t*c = -1197. Calculate the highest common factor of c and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1  (b) -0.07465  (c) 3\/10  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2 + 76556368*j - 76556369.\nAnswer: (j - 1)*(j + 76556369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 174 (base 11) to base 12.\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n - 2. Let b be m(-6). Let l be b\/((-3*2)\/(-3)). Suppose l*z - 45 = -3*z. Calculate the remainder when z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18861716, 18861714, 18861712, 18861710, 18861708, 18861706?\nAnswer: 18861704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 - ((-56)\/(-7) + -8 + -2). Sort 7, -1, 3, l in descending order.\nAnswer: 7, l, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 + 2*i + 8. Let w = -197 - -199. Let n(m) = -3*m**2 + 4*m + 17. Determine w*n(r) - 5*u(r).\nAnswer: -r**2 - 2*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -12*u + 41. Let t be b(-4). Calculate the highest common divisor of 1157 and t.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of -34 - 1\/51*t**6 + 0*t - 5\/34*t**4 + 8\/85*t**5 + 4\/51*t**3 + 0*t**2. Factor r(i).\nAnswer: -2*i**2*(i - 2)*(i - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 110788 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*l + 4*l + 425. Let p(h) = 1 + 6*h + h**2 - h - 3*h - h. Calculate the remainder when p(-9) is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 PM and 2:36 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 3*j = -13, 0 = -214*h + 213*h + 2*j + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 - 45\/(-4 - -7). Let z be (12\/(-24))\/((-2)\/x). Is (-191)\/(0 + (z - -2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -43 + 89. Suppose -w = -r - 12. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -19*p**3 - 12*p**2 - 2*p. Let f(k) = -18*k**3 - 13*k**2 - 3*k. Let r(o) = -3*a(o) + 2*f(o). What is the third derivative of r(n) wrt n?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 5*u + 5*n, -4 = -4*u + 2*n + n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 + 6*l + 7. Let w(i) = 5*i + 6. Let z be (-444)\/(-5550) + 73\/25 + 0. What is z*c(r) - 4*w(r)?\nAnswer: 3*r**3 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -221, -1790, -6037, -14300, -27917, -48226, -76565, -114272?\n\"Answer: -223*r**3 - r**2 - 5*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*b - 156 + 134 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 152577806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of 5*i**6\/2 + 13*i**5 + 65*i**4\/4 - 15*i**3 - 40*i**2 - 20*i - 5. Solve t(c) = 0 for c.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -31  (c) -1\/6  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1368 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 33 - 18 = 0. Suppose -d*n = -n - 22. Calculate the highest common divisor of 110 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffjc when four letters picked without replacement from cffj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.079058 rounded to four dps?\nAnswer: -0.0791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1116.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8\/4)\/6)\/((-19)\/((-5187)\/28))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n + 4*n - 4363 = -3*x, 7275 = 5*x - 5*n. Suppose -14*v = -6*v - x. Calculate the highest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1\/8, 5, 2\/249.\nAnswer: -5, -1\/8, 2\/249, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxuxluxxxxxuxxxx.\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10298645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*f = -36*f - 20. Let z = 19 + -20. What is the tens digit of 116\/4 - z*f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1417592 = -14*y + 1416808 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 578334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**4 + 60*b**3 - 2220*b**2 + 13600*b - 24000.\nAnswer: 5*(b - 10)*(b - 4)**2*(b + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24664, 24661, 24658, 24655, 24652?\nAnswer: 24649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2. Let b be w(1). Let k(n) = n**3 + 3*n**2 - 3*n - 8. Let s be k(-4). Calculate the remainder when 14 is divided by ((-6)\/(-9))\/(b\/s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3935 is divided by 1309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c. Let a = 4 + -6. Let g = 2 - 2. Let l(r) = -r + 0*r + g*r. Calculate a*l(b) - 4*t(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 5*r = -15, -9*j - r + 27 = -4*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (7 + -13 - -7) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -194\/5397861?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108614695?\nAnswer: 5, 7, 3103277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**2 + n + 1. Let v(o) = 3*o**3 - 3*o + 2. Let i be v(1). Suppose -y + 5 = 0, i*m + 4*y - 22 = m. What is r(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -15.093 to 1 decimal place.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9394*a**2*j**2 + a**2*j + 11*j**2 - 772*j - 1 wrt a?\nAnswer: 18788*a*j**2 + 2*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 9) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20*l**2*p**2 - 9*l**2 + 385*l*p**5 + 4*l - 45*p wrt p.\nAnswer: -40*l**2 + 7700*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1bb07 (base 15) in base 3?\nAnswer: 11120202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/((-40)\/140 - (-5)\/(-56)). Let u = f - -36. Suppose u*h - 8 = 0, -3*m - 341 = -8*m + 2*h. What is the remainder when m is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 AM and 7:55 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5, q: 3, x: 6, t: 1, n: 3}. What is prob of picking 2 x?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 78448709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 87264139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 372*p**3*t**2 + 14453*p**3*t - 3*p**2 - 1824*t**2 + 439*t wrt p.\nAnswer: 2232*t**2 + 86718*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -3 + 4*w - 6 + 3. What is a(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 + 20 - 10) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 - (29 + -23).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1022901 = 267*j - 44*j. Is j equal to 4587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -330 divided by 2?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6\/51 + 312247\/221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -43*t**3 + t**2 + t + 1. Let s be a(-1). Let k(z) = 1 + z**2 + z + z**2 - s*z**3 + z. Is k(-1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -4*b - 9, 4*b + 4189 = -2*x + 4175 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 15, -2 in ascending order.\nAnswer: -2, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 63*d*i*r**3 - d*i*r**2 - 33*d*i*r - r**2 - 2 wrt r.\nAnswer: 378*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.96 - 0.04. Which is the biggest value?  (a) r  (b) 35  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (2 - 0) - (2 + 117 - 119).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -43268575*q**6 - 3*q**2 - 84*q + 24314 wrt q.\nAnswer: -5192229000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 143243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.2 - 3.1. Sort 13, 2, 6, h, -6 in ascending order.\nAnswer: -6, h, 2, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 + 24. Let n be (-18)\/(-3) + (l - 4). Find the third derivative of 0*r + 3*r + 4*r**n + 6*r**2 - 3*r wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 329*y + 50*y**3 - 166*y - 3*y**2 - 163*y as o*y**2 + k*y + i*y**3 + v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = 8*q + 10. Does 17 divide (-5 - 60\/q)*2056\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((4*(sqrt(18) + 1 + sqrt(18)) - (1*sqrt(450))**2) + sqrt(36)\/(sqrt(72) - sqrt(72)*-2 - sqrt(72))).\nAnswer: -97*sqrt(2)\/4 + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -45263524 (base 7) to base 4\nAnswer: -32333321101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2746.6158ns?\nAnswer: 0.00000004577693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -400503 (base 6) to base 7\nAnswer: -160134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 141 + -157. Let b be -1 - k\/10 - (-880)\/200. Solve b = -5*d, -2*z + 4*d - 5 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 4125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {r: 1, m: 1, z: 3, w: 4, v: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3569728*z + 6336164?\nAnswer: 3569728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/336 and 19\/420.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -322443\/4 - -80200. Let l = 411 + v. Are l and 1\/4 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/15)\/(60\/(-450)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4703 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -223*n + 249*n = a - 29, 4*a + n = 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1674 = -3*b - 3*u, 3*b - 1230 = -2*u + 446. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -34*y**2 + 8*y. Let k be h(-3). What is k rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4195283 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 4*k**3\/3 - 656*k**2\/3 + 644*k = 0.\nAnswer: 0, 3, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17749?\nAnswer: 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 - r - 1. Suppose -5*l = -0*l. Let b(f) be the first derivative of 5 - 4*f + l - 3. Determine b(i) - 2*p(i).\nAnswer: -2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -242 - -1071b?\nAnswer: 10499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**2 + 2*c**2 + c**3 - c**3 - 5*c**3 + 4*c**3 + (4*c**3 + 0*c**3 - 5*c**3)*(2 - 3 + 2) + 3*c**3 + 3*c**3 - 4*c**3 + 2*c**3 + 3*c**3 + 2*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-1326)\/91 - -15)\/(2\/(-14))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81136 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -3*c + 1, 69*w - 71*w = -3*c - 23. Solve -w*g = -4*g + 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -203.\nAnswer: -4\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1850 and 1108890?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 3:47 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 + z + 4*z.\nAnswer: 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -10012010021021 (base 3) to base 10\nAnswer: -1695121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -3*q. Suppose q = -2*k - 6 + 4. Let s(y) = -y**2. Let d(v) = 0 + 35*v**2 - 2 - 27*v**2. Calculate k*d(x) - 6*s(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2948\/198 - 16 - (-22)\/(-45).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001101001 - 11001111100111101?\nAnswer: -11001101011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8001 + 8036.59. Let g = 0.59 - x. Let u = g + 34.9986. Round u to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 3*k**2 - 3*k - 4. Let b be v(-3). Let t(x) = 7*x + 5. Let r(n) = 3*n + 2. What is b*r(z) - 2*t(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6\/(-15) + (-39069)\/(-135) is divided by 132.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/203?  (a) -5  (b) -25  (c) 2\/5  (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*n - 267*n + 2*n**2 + 293*n - 2*n**2 - 71*n - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -592, -1\/4, 0.05 in ascending order.\nAnswer: -592, -1\/4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*y - 99*y = -52*y - 15. Let q(f) be the first derivative of -2*f**2 + 0*f + 4\/5*f**5 + 4*f**3 - y - 3*f**4. Suppose q(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -391, -394, -399, -406, -415, -426, -439?\n\"Answer: -q**2 - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -1. Let m(o) = -8*o**2 + 1. Let q(k) = -5*k - 14. Let p be q(-3). Determine p*w(h) + m(h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1267690 rounded to the nearest ten thousand?\nAnswer: 1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/39 - (19 + (-4480)\/208 + 16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 1\/32, 0.045, 33, 5?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35)\/42*(-12)\/(-855)*3.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 393185657.\nAnswer: 393185657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, a: 5, y: 1, d: 1, g: 3, n: 3}. Give prob of picking 1 a, 1 y, and 1 n.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((0 + sqrt(567))*3)**2 + (sqrt(252) - (0 + -2*sqrt(252))**2 - -2*sqrt(252)*2).\nAnswer: 30*sqrt(7) + 4092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1.718, 1\/5, -4?\nAnswer: -1.718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1404 and 388?\nAnswer: 136188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -24. Calculate the remainder when 150\/135 + 754\/18 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 48 = -2*r. Let g be (-3)\/r - (138\/(-8) + 1). What is the remainder when 5 + g\/(-3) + 43\/3 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4125029905?\nAnswer: 5, 1049, 786469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0212301 rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-165))\/(-88*(-22)\/3630*(-27)\/(-24)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**2 - 50252106*s = 0. Calculate s.\nAnswer: 0, 16750702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3465341\/70 - 49503. Find the common denominator of ((-7)\/(-294)*1)\/(6\/26) and y.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -3*m**4\/4 + 3*m**3 - 9*m**2\/2 + 3*m + 8. What is r in o(r) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 303705.9589947 + -303706. Let r = -0.041 - d. Round r to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108867660 and 21346600?\nAnswer: 1088676600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 3\/11507, 4, 1\/5 in decreasing order.\nAnswer: 4, 3, 1\/5, 3\/11507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.476499072 rounded to 4 decimal places?\nAnswer: -1.4765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**4*p*p**(-9))**3 assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*c + 12*c + 10*c + 2 + 24 + (1 - 6 + 3)*(c - c + 2*c).\nAnswer: 4*c + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(5) + 1)*-1 + -6*sqrt(5)*-3)**2*2*-6.\nAnswer: -2448*sqrt(5) + 104112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000860787 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n + 22*n - 105 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 7*k**2 + 5*k. Let a(q) = 7*q**2 + 6*q. Let d(o) = 4*a(o) - 5*y(o). What is d(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - d**2 + 2*d + 1. Let l(u) = u + 21. Let m be l(-9). Suppose 2*t - 2 + m = 4*a, -5*a + 9 = t. Let o be t - 4\/(-16)*-4. Determine k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + -2. Let p = -3\/565 + -22\/113. Which is the closest to 2\/3?  (a) p  (b) 3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -100521 - 224?\nAnswer: -101145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.09, -1, -13791, 4, 0.03, -3\/2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 895377, 895375, 895373?\nAnswer: 895371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-20)\/(-6) - (-2)\/3. Let k be (-7)\/(-35) + (0 - 0). What is the biggest value in s, k, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 43714931 - 509202.\nAnswer: 43205729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24 + 25. Let b(l) = -r - 1 - l + 4. What is b(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -662 - -656. What is the second biggest value in -4, y, -6.9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -1\/42, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 1\/2, 2\/7, 0.12578, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65, -137, -209, -281, -353?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 15 = 4*i, i - 2*r = 2*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 4*j - 2568 = 0, -3*a + 483 = 5*j - 1451. Let z = -447 + a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2854441?\nAnswer: 29, 98429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -b - 2*b. Suppose 4*z = -8 + 36. Let p = z + b. Solve 2*s - p*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24670797 is divided by 1925.\nAnswer: 1922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*c**5 - 99*c**4 - 68*c wrt c.\nAnswer: 40*c**3 - 1188*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 7*s + 135. Let w(h) = 10*h + 132. Give -4*f(q) + 3*w(q).\nAnswer: 2*q - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 901\/11 + 1\/11.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1485 divided by 495.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-14) - (16\/7 + -4). Suppose b*x - 3*o + 0 - 1 = 0, 2*x - 2 = 4*o. Let m be -3 - (1088 + x)\/1. Round m to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, 2, 54, -5, -8, 5 in decreasing order.\nAnswer: 54, 19, 5, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34127, 69886, 105645, 141404?\nAnswer: 177163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.654514191 rounded to 3 decimal places?\nAnswer: -3.655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.059, 4, 0.04062, 68 in increasing order.\nAnswer: 0.04062, 0.059, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11001 + 1222121012?\nAnswer: 1222110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 2 + -2 - (3 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 4*z. Do -1\/2 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-35)\/(-14))\/(4\/1016 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6693827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 391279410 rounded to the nearest one million?\nAnswer: 391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 5:27 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5*v - 24 = 0, 0*i = -5*i + 2*v + 18. Let d = 7421\/11 + -29607\/44. Let -1\/2 + d*a - 1\/4*a**4 + 5\/4*a**3 - 9\/4*a**i = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j - 4. Let d(i) = 2*i + 8. Let p(t) = 3*d(t) + 5*n(t). Let s be ((-1)\/(-6)*-15)\/(1\/(-2)). What is the units digit of p(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22271\/3 - -7425. Find k such that f*k + 0 + 5\/3*k**2 + 1\/3*k**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 13 + 7. Suppose d = -r - 2*d + 8, -p*r + 50 = 3*d. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*c**3 + 24608658*c*f - 103159*f + 25 wrt c.\nAnswer: 6*c**2 + 24608658*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4*x + 122. Let a be u(5). Let t = -19 + a. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/5 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 274690 is divided by 34335?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134311963?\nAnswer: 29, 1759, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8604952 + 12098396 = 612*z. What are the prime factors of z?\nAnswer: 33829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -55, -122, -191, -262, -335, -410?\n\"Answer: -a**2 - 64*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-1*(-3)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -475  (b) 2  (c) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 10*s - 19. Let n(v) be the second derivative of v**3\/2 - 3*v**2 - 3*v - 172. What is -4*d(r) + 14*n(r)?\nAnswer: 2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/(-20) + (-166)\/8. Let b be n\/7 - 6*-1. Suppose -22 = -5*o - 3*k, b*o = 2*k - 0 - 2. Solve o*c + 11 = 5*t, 2*c + 3*c + 3*t = 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2*5\/(-35) - (-132)\/21. Factor 2*h**2 + s*h**2 - 5*h**3 - 10*h + 7*h**2.\nAnswer: -5*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2. Let o(b) be the third derivative of 0*b**3 + 0*b**4 - 3*b**2 + 0 + 1\/15*b**5 + 0*b. Give o(n(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41.020915 + -7.894.\nAnswer: -48.914915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -25 (base 6) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17\/(1904\/(-96))*((-392)\/16)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -182*h**2 + 50*h + 12. Let p(w) = -181*w**2 + 52*w + 8. Let l(u) = -2*k(u) + 3*p(u). What is the second derivative of l(q) wrt q?\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 5 - 2*i - 2*i**3 - i**4 - 5 to u*i**3 + b*i**2 + q + z*i + p*i**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -366, -438, -510?\n\"Answer: -72*t - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from -219743.\nAnswer: -219739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -14. Calculate the smallest common multiple of 22 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 259*v = 260*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 - 5 + 5)*(-a - 2*a**3 + a) - a**5 + 8*a**5 - 6*a**5 + (12*a**4 + 30*a - 30*a)*(-a - 14 + 14).\nAnswer: -9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 252496.\nAnswer: 2, 43, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 800.9714 millilitres to litres.\nAnswer: 0.8009714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 156, 167, 182, 201?\n\"Answer: 2*c**2 + 5*c + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -931 + 1038.3. Let o = h + -101. Let p = o + -1.3. What is the second smallest value in -2\/11, p, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26.7 at most 8729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 313?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2730072, -2730120, -2730168, -2730216, -2730264, -2730312?\nAnswer: -2730360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of 5\/6*i**3 - 1\/3*i**4 - 1\/20*i**5 + 0 + 3\/2*i**2 - 2*i. What is the units digit of f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/((-12)\/(-30)*-10)*-5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 898 - 878. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -72*f + 16. Let h(x) = x - 2. Let l(p) = 10*h(p) - y(p). Let o be l(5). Calculate the highest common factor of 34 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 5*k**3 + 22*k**2 - 10*k - 74. Determine x(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.08  (b) 5  (c) 1\/5  (d) 218  (e) -3  (f) 36\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80 and 315.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.2 and 119117?\nAnswer: -381174.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2*j + 5*j - 8 + 7 - 2*j. Give b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 32 + 41 - 125 = 0. Solve 0 = 5*h - 4*c - g, 2*c + 0*c = 3*h - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1437844, -5751378, -12940600, -23005510, -35946108, -51762394?\n\"Answer: -1437844*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29 or -25?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m**3 - 5*m**3 + 0*m**3)*(-6*m + 4*m - 5*m)*(-5 + 3 - 5).\nAnswer: -49*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -17\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 5*k + 630, 0 = -3*n - 2*k + 302 + 78. Let g be (288\/(-7))\/((-3)\/14). What is the highest common divisor of n and g?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ncoc when four letters picked without replacement from ocnccncoconcxcnnx.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**3 + 0*q**3 - q**3)*(-2 + 2 - 2*q) - 3*q**4 - q + q + 0*q**2 + 2*q**4 + 0*q**2.\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 44647 = 5*y + 199547, -4*p = 5*y + 154900. Let a be (y\/(-6))\/(1\/3). Round a to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/9826265 and -61\/431397?\nAnswer: 88436385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 + 55*n + 2*n**2 - 55*n. Let v(m) = -47*m. Give v(z(j)).\nAnswer: -141*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 616\/220*(-10)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 53  (b) -5  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(-10)\/650*(-3 + 5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, j: 2}. What is prob of picking 1 r and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-10)*(825\/495)\/((-14)\/(-24)). Let 0 + l*n - 3\/7*n**5 - 9\/7*n**4 + 6\/7*n**3 + 36\/7*n**2 = 0. Calculate n.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 - 14 = -3*x. Let l = -17 + x. Put 5, l, 4 in descending order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 2:10 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -0.227767  (c) 2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**0)**28\/(((y\/(y\/(y**(-1)*y))*y)\/y)\/y**(-1\/2))*(y*(y*y*(y**0\/y)\/y*y)\/y)**(-2\/37)\/(y**3*y*(y\/y**(-3))\/y) assuming y is positive.\nAnswer: y**(-559\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1148406243 to the power of 1\/3, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3489 + -3489. What is the nearest to y in -3\/7, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2823 divided by 941?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 217553294 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -260, -519, -778?\n\"Answer: -259*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -11*v + 46. Let b be a(5). Let n(c) = -c**3 - 7*c**2 + 16*c - 17. Let t be n(b). Is t greater than 2\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 32  (b) -2\/3  (c) -2\/5  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y - y + 3*y + (1 + 2*y - 1)*(5 - 3 + 3) - 2*y - 2 + 2 + 5*y - 8 - 3*y - 14 as t*y + b and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/972 and 79\/432.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6444\/324 + (-2136)\/2403?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 17*m**2 - 3*m - 4. Let a(j) = -16*j**2 + 3*j + 5. Let r(d) = 3*a(d) + 4*g(d). Is r(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 5*i**2 + i - 10. Give o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8250*n**3 + n**2 + 10*n + 421393 wrt n.\nAnswer: 24750*n**2 + 2*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 10) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-3)*-4*4\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -838 - 1762 = -8*q. Find the third derivative of 325*r - q*r + 7*r**3 + 7*r**2 wrt r.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k**2 + k. Let w(r) be the first derivative of -r**4\/4 + 13*r**3\/3 - r**2 + 25*r - 3. Let n be w(13). What is c(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*w + 238 + 2*w - 19*w)*(w - 3*w + 3*w)*(-w + 0*w - w).\nAnswer: 10*w**3 - 476*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 9 = z - 6*z, 0 = -g + 5*z + 18. Solve 2*t = -3*y + g*t + 14, -3*y - 4*t = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.979327364 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - 0. Let y be (z - 1) + (1 - 0). Find the third derivative of -c + c - c**3 + y*c + 3*c**2 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 45*j**3 - 181*j**2 + 365*j + 8. Calculate h(2).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 50062 and -1.\nAnswer: -50062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 83713144 to the nearest integer?\nAnswer: 9149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000181235691 rounded to 6 decimal places?\nAnswer: 0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of n**4 - 132*n**2 + 6*n*o**2 - 12*n*o + 13566*o**2 - 3 wrt n?\nAnswer: 4*n**3 - 264*n + 6*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h**3 - h**2 + 3*h - 1. Give f(3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = -60, -4*o + 753 + 726 = -3*s + 1416 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -177*m - 40192 = 137*m for m.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3126 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(16) - sqrt(4))\/((sqrt(20)\/sqrt(5))\/sqrt(2)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -1.997. Let l = y - -24.003. Let w = l + -24.00000038. Round w to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-124 - (35 + -141))*(-2)\/(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-1*2*sqrt(200) + 1 + -2 + sqrt(200))*3)**2.\nAnswer: 180*sqrt(2) + 1810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**5 + 892\/9*g**4 - 892\/9*g**2 - 200\/9*g + 236\/9*g**3 + 0 = 0. What is g?\nAnswer: -1, -2\/9, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13189*u + 2 + u**2 + 13189*u.\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1\/(g\/(g\/((g*g**3)\/g)*g)))**(-27) assuming g is positive.\nAnswer: g**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 u when three letters picked without replacement from {u: 4, d: 16}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n. Let r be g(10). Factor r*o**3 + 4*o**2 - o**3 - o**2 + 0*o**3.\nAnswer: 3*o**2*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 5 = 2. Let c = y + 5. Is 5\/(-15)*(c + -251) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1024465.\nAnswer: 5, 13, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1.32*0.3\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one tenth of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001515247 to 7 dps.\nAnswer: 0.0001515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41 and 507170?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -2*z - 20 + 74, -2*n - 8 = 0. Is 0 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4118 + 4118. Which is the nearest to -1\/3?  (a) i  (b) 5  (c) 0.4  (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, -11, -70, -199, -422?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 105035983 + -105035981.10000036. Let r = 1.72 + 0.18. Let q = r - a. Round q to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46182318 and 738.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) -2  (c) 2976761\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, m: 2, t: 5}. What is prob of sequence mp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/(-2))\/(-2)*-5. Let t be (d\/(-4))\/(-1) + -1. Let k = 2 - 2.1. Which is the closest to k?  (a) 2  (b) t  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 71664  (c) -2\/3  (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.52 - -2.4. Let s = 0.0112 - 0.13152. Let w = s - b. Round w to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81767.\nAnswer: 7, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1842805*k**2 + 921744*k**2 + 921056*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.8 + -0.2. Let l = 10.06 - 9.9. Let w = l - 0.06. Which is the third smallest value?  (a) 6  (b) w  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13630469 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 3) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -r**3*v**4 - 6255013*r**3*v + 5647804*v**3 wrt v.\nAnswer: -12*r**3*v**2 + 33886824*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2507 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-27) + 40\/18. Let n be (-1)\/(u + (-9)\/5). Sort 3, n, -3 in descending order.\nAnswer: 3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 770874485 and -2.\nAnswer: -1541748970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 289564, 2316495, 7818156, 18531913, 36195132, 62545179, 99319420?\n\"Answer: 289561*b**3 - b**2 + 7*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w + 59. Let s(q) = -27*q**2 + 14*q. Let m(l) = -8*l**2 + 6*l. Let t(f) = -3*m(f) + s(f). Give o(t(a)).\nAnswer: 6*a**2 + 8*a + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*v - 386 = -4*v + 550 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 7736 - 2134. Let h = 3755 - d. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide -129*(6 + (6 - 13))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 87370 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*o = -36*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g - 7. Let n be c(-5). Let t(f) = -5868*f + 4. Let b be t(n). What is b rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 11:04 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 8:41 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9*(4 - 33\/9). Let z(o) be the third derivative of -59*o**4\/24 - 2*o**3\/3 + 4*o**2 + o. Calculate the remainder when z(t) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 42 = -4*z. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 5*l, 11 = 3*i - l + 5*l. Solve -i*q = n + 3, 9*n + 6 = 14*n + 4*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 0*p + 14 = -4*l, -6 = -3*p. Let o be l\/8 - (-15)\/12. Suppose 2*u = 3 - o. Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6\/9)\/((-2)\/(-15)). Let t(n) = -2*n - 7. Let f(i) = 35 - 9 + 2*i - 8 - 10. Give o*f(w) + 6*t(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 22 = -2*x, -2*p - 13 - 15 = -3*x. Suppose 15*q - 75 = x*q. What is the remainder when 56 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*l - 214*l + 585 = 0 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 2*l + 17 - 19 = 0, 2*k = 5*l - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8537036*d**5 - 7*d**2 - 1440226*d?\nAnswer: -512222160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1791*r + 163440 = -1841*r for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dppmupuvmmdpdpvuvuv. What is prob of picking 1 v and 1 d?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 5, p: 1, f: 4, g: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 205391629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 140675 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1217, -1220, -1221, -1220, -1217, -1212, -1205?\n\"Answer: c**2 - 6*c - 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -141 - -143. Suppose u*n - 4190 = -8*n. What are the prime factors of n?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -33 - -19. Let a = -11 - w. Let o = -0.2 + -0.1. Sort 0.3, a, o.\nAnswer: o, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 81*-2*((-20)\/(-6) - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*b + 0*b + 0*b)*(0 + 3 + 1) + 0*b + 5*b - 4*b - 13*b + 13*b + 41*b to the form l*b + z and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -309789*h + 619639*h - 309818*h.\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-21) + (-30)\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 39, -5, -1665801 in ascending order.\nAnswer: -1665801, -5, -4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 708979 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 2 - 2)*(111 - 71 - 78)*(-8 + 3 - 1)*(-26 + 26 - 5*l)*(0 + 2 - 4) to y*l + p and give y.\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 AM and 6:23 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/7))**(-4\/3)\/(i**(2\/5)*i*i)**(-25\/6))\/((i\/i**(-2\/25))\/i**(2\/11))**(-38) assuming i is positive.\nAnswer: i**(257056\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -2\/11  (b) -3\/8  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**6\/288 + x**5\/32 - 15*x**4\/16 - 13*x**3\/2 + x**2 + 93. Let u(a) be the first derivative of g(a). Factor u(z).\nAnswer: 5*(z - 3)*(z + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.125708863 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z - 2*z - 2*z + (9 - 11 + 11)*(1 - 2 - 1)*(4*z - 5*z + 2*z).\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v - 4*v + 2*v + v + v - v + (1 - 8 + 3)*(v - 15*v + 6*v) + 23*v - v - 5*v.\nAnswer: 51*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from bmbaqagbaga.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-4)*j*j)\/j**(-2\/5)*((j*j*j**(-2\/3)*j*j)\/j)**(-3\/34) assuming j is positive.\nAnswer: j**(-307\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*g**3 - 30*g**3 + 9*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -4141144001?\nAnswer: 4141144002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -220, 2\/11 in increasing order.\nAnswer: -220, -3, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/6292 and 58\/2057?\nAnswer: 106964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2365562 divided by 2.\nAnswer: -1182781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -48*i + 45*i - 339. List the prime factors of (0 + -2)\/(1\/i).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*a**3 - 22*a**3 - 20*a**3 - a**3 - 13*a.\nAnswer: -59*a**3 - 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2581 - 2573. Let g(d) = -18*d + 15. Let v(f) = 9*f - 8. Let m(b) = -3*g(b) - 5*v(b). Calculate the remainder when m(4) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = g + 8, 2*g + 21 = n + 2*n. Let s = 0.12 + 65.88. Let k = s - 66. What is the third smallest value in 0.1, k, n, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 3*j + 997, -4*r + 1386 = -4*j + 394. Let a = r - 167. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3498*k + 3460*k - 722 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 1. What are the prime factors of (15\/6)\/(z\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*8\/(-32)*4)\/(42\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 79*v + 469 = 81*v, v + 158 = -y. Let o = y - -679. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 5:07 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 - -6. Let j = 7 + u. Solve i + i = j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 56\/18731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.05*0.005.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8562 is divided by 2389.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (99\/18 - 7) + 0\/(-18 + 10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 + 9*f**2 - 3*f**2)*(3*f**3 + 0*f**3 - f**3) - 2*f**5 + f - f.\nAnswer: 14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 37 - 23. Calculate the remainder when 81 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.706 + 123.294. Let k = 1047020097.00000461 + -1047019969. Let f = t - k. Round f to 7 dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, -1, 2631 in decreasing order.\nAnswer: 2631, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 + 4)*(-3*z**2 - z**2 + 2*z**2) + (-5*z + z + 2*z)*(2*z + 0*z - 6*z) to a*z**2 + y*z + r and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1092 = -169*w + 85*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 5416*x - 21672. What is j(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10*(-5088)\/(-3900) + (-13 - 0))*(-2)\/6?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 203494173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 35467, -1257 in descending order.\nAnswer: 35467, 3, -1257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -370 or 296?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -4*j + 20. Suppose 3*k - 5*a = 40 + 73, 0 = -5*k + j*a + 185. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-139*k**2 + k + 3*k + 135*k**2)*(4*k**2 - k**2 - 2*k**2).\nAnswer: -4*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 221 - 223.22. Let s = w + 0.02. Let r = s + 6.5. What is r rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by (-20)\/(-3) - 4\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -3*u**3 - 1 + 89*u**2 - 233*u**2 - 1 + 2 = 0.\nAnswer: -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*l - 9*l - 27*l)*((0 + 3 - 2)*(4 + 1 - 3) + 6 - 3 + 2 + 0 + 1 - 3 + (1 + 4 - 4)*(-2 + 1 + 3)).\nAnswer: -98*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 230652973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5\/3, -135\/7, 3, -4, -96 in decreasing order.\nAnswer: 3, -5\/3, -3, -4, -135\/7, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 227186799 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40 + 38 - (0 + 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1134221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27874103, 55748210, 83622321, 111496436, 139370555?\nAnswer: 167244678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2836305, -2836277, -2836249, -2836221, -2836193?\nAnswer: -2836165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 569790884?\nAnswer: 2, 13, 227, 48271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1254 - -1254. Let k(x) be the first derivative of 0*x**4 + 6 + 9\/5*x**5 + 5\/3*x**3 + a*x + 0*x**2. Find the third derivative of k(j) wrt j.\nAnswer: 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of -g**6\/180 - 53*g**5\/90 + 25*g**4\/4 - 19*g**3 + 12918*g**2. Factor y(r).\nAnswer: -2*(r - 3)*(r - 1)*(r + 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -497*t - 3828. Give i(-8).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 12*a. Let w(b) = 4*b + 13. Let l be w(-3). Let d be p(l). Is d\/(-28) + 6530\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 196\/6*(3801\/14)\/181?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -0*m - 5*r + 26, -2*m - 42 = -5*r. Let v be -3 - 0 - (m - (1 + -11)). Solve -v*q = -16 + 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f*f**(-12)*f))\/f**2 assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of 3*c**5\/20 + c**4\/6 + c**2\/2 - 2*c - 4. Let u(q) be the first derivative of g(q). Is u(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000122263 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of 3*w**5\/100 - 13*w**4\/60 - 14*w**3\/15 - 6*w**2\/5 + 324*w - 1. Suppose m(d) = 0. What is d?\nAnswer: -1, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 807 = -3*k, -26*x + 27*x - 1051 = -4*k. Calculate the highest common factor of k and 1496.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-225)\/1*8\/(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, c: 7}. Give prob of sequence cce.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (-6)\/4 + 21330\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and -4570847?\nAnswer: 4570846.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/2)*o)**11 assuming o is positive.\nAnswer: o**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-550)\/(-440) + (-66)\/40)*(-2 + -158).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64525 is divided by 296.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 84234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34629.\nAnswer: 3, 7, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (-23 - (-15 - 33))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b + 14. Let s be d(12). Let n(j) = 3 + 0*j**2 - 4*j + j**s - 1. Suppose -2*h - h = -9. Determine n(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 16 = 44. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -28496, -28591, -28700, -28829, -28984?\n\"Answer: -n**3 - n**2 - 85*n - 28409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 455774?\nAnswer: 2, 11, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.9 - 1. Let x = 0.19 - 0.59. Sort x, r, -3\/5 in ascending order.\nAnswer: -3\/5, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 5*i = 16, 5*i - 8*i - 6 = 3*v. Suppose 4*s = 4*k, -3*s - 25 = -8*s. Let p = v + k. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 4482*v + 147930. Determine w(-33).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 + 5*v + 10. Let x be z(8). Let k = -9 - x. Suppose 0 = -4*y - 3*j + 821, 0*y = -y - k*j + 218. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nccaenhhheahucecchh. What is prob of sequence nc?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25.7 in -0.1, 8\/7, -2\/11?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2\/2 - 2855*x\/6 - 317\/3.\nAnswer: -(x + 317)*(9*x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 589 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from yyyyeyrer?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 17*g**2 - 295*g + 1214. Calculate z(8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3149 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 450976935 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 - 15. Suppose -2*o + i = -0*o. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + 6*c**2 + 3*c - 12. What is the remainder when s(5) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4056408010 to the nearest 100000.\nAnswer: -4056400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5303 - 5303. What is the closest to -0.1 in 2, v, 96, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 3*f - 677805, -17*f + 7*d - 903806 = -21*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9\/5 in 3\/5, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ia when two letters picked without replacement from eia?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -130322436, -260644867, -390967298, -521289729, -651612160, -781934591?\nAnswer: -912257022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -665 + 1429. Let m = n + -351. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -219524343 divided by -7149?\nAnswer: 30707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-8))\/((-259)\/74)*182\/(-4)*4.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 11:46 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 4*v + 67 = -98, -2*l + 2*v = -110. Let j be 8\/(-10) - (-11)\/l. What is the nearest to j in -2, -2\/9, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66*z**4 + 257*z**3 - 3*z**2 - 2786101*z.\nAnswer: 792*z**2 + 1542*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.018 and 2?\nAnswer: 2.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 4*j + 38 = -5*t, 9 = -t - 2*j. Let h = t - -52. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -59820, -59669, -59516, -59361, -59204, -59045?\nAnswer: -58884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/((-11016)\/51800) - 128\/(-3264)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0.2, 0.03, 3, 1.07?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 17 times 6\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5285947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 114.63 + -109.43. Which is smaller: j or 59?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -9*z - 68. Let h be u(-10). Suppose 0 = h*t - t - 42. Solve -4*m = -5*m - t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7588881, -15177764, -22766647, -30355530?\n\"Answer: -7588883*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 12 - (2*-2 + 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -2. Suppose 4*j - 27 = p, 2*p - q = j - 7. Factor -5*m**2 - 3*m**3 - j*m + 12*m**3 - 1 - 3*m**2 + 7*m**3.\nAnswer: (m - 1)*(4*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5*k = 6458, k - 9577 + 951 = -4*a. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 9}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -40. Let n = z - -37. Let u(h) be the second derivative of 2*h**3\/3 + 2*h**2 - 2*h. What is u(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16.74 - -17.04. Which is the smallest value?  (a) 2  (b) 2\/9  (c) -2  (d) 4  (e) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3 - 5*v**2 - 3. Let z be j(5). Let o be 3\/z*30\/(-6). Suppose -5*t - o*y = -1 + 11, 4*t - 5*y = 37. Solve -s + 5 - t = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 2*r + 60 = 0, 47 = y + r + 7. Suppose -39*d = -26*d - 455. What is the lowest common multiple of y and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/w**2)*w*w\/w**(-4)*w**(1\/3)\/w**(-3\/7))\/(w*w*w\/w**1*w**(2\/13)\/w)**(1\/5) assuming w is positive.\nAnswer: w**(2329\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 9516 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-1)*(-11)\/22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 228140 and 706380?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 2 + 17. Suppose 5*f - 3*f + 3*z = 6, -u*z - 21 = -f. Let j be (-60)\/(-1)*12\/10. Calculate the greatest common divisor of j and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 45*i = 44*i + 2, 5*d + 3*i = -49. Let r be (-8)\/28 - 6\/28. Which is the closest to -1\/4?  (a) d  (b) r  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56 + 56 + 2664*j - 3520*j.\nAnswer: -856*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -0*t - 3*t. Suppose 2 = 2*y - l, -t*y - l = -3*l - 3. Let h be y\/((-16)\/(-6) + -3). Put h, 0, 1\/9 in descending order.\nAnswer: 1\/9, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 121714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 26355 and -2.\nAnswer: -52710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120 - ((437 - 417) + (2 - -2 - 16)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -r**5\/15 + r**2 + 30. Let a(l) = 5*l**2 - 4. What is g(a(p))?\nAnswer: -100*p**4 + 160*p**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(8\/(-9)))\/((-95)\/(15675\/99))\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8224 by -3344.\nAnswer: 514\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 5934851.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -6593*d - 3. Let k(u) = 800*u. What is y(k(h))?\nAnswer: -5274400*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(-2) + (29\/2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3105.5 + -3105. What is the biggest value in a, 3, 0.1, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 1 - (-7 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-1 - 2\/(-3)*12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128050264.59 rounded to the nearest ten thousand?\nAnswer: -128050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -11  (b) 5  (c) 4\/8201  (d) 1  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 - 15*q**2 - 8*q + 7. Let r be b(16). Suppose 3*o - 84 = 2*u, -5*u - r = -3*o - 2*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7857*x**3 - 4845*x**3 - 2*x + 10251*x**3 + 3.\nAnswer: 13263*x**3 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 + 3*q**2 + 26*q - 168. What is the hundreds digit of a(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31229597 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 8:31 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -18, -27, -36, -45, -54?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*h + 2*b = -12702, -3*h + 2*b + 9529 = 0. Suppose 6*a = -1151 + h. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(3\/2)*v**(-2\/5))\/(v**(1\/3)*(v*v\/v**(2\/5))\/v) assuming v is positive.\nAnswer: v**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1638\/399 + -1 + -3. Which is the closest to -1?  (a) 8\/11  (b) w  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.165587 micrometers in kilometers?\nAnswer: 0.000000001165587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6229.55387 less than 0.3?\nAnswer: 6229.85387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000798901 rounded to 5 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.075 times -312794.9?\nAnswer: 23459.6175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 - 305 = 2*t. Let s = -95 - t. Does 30 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 + -5 - 41 - -32.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, p: 1, i: 5, s: 6, t: 2, h: 3}. Give prob of sequence piit.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10 - 1007?\nAnswer: -ee7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 + 4\/3*r**2 + 4\/3*r**3 - 32\/3*r = 0 for r.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3*w + 8 - 2*w - 2. Suppose -87 = 6*b - 35*b. What is the remainder when n(0) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 437102*f - 803487 wrt f.\nAnswer: 437102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 4)*(3*n + 4 + 16 - 18)*(-1 + 1 - 4).\nAnswer: -72*n - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 112211212 (base 3) in base 2?\nAnswer: 10101001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 4*t. Let x(o) be the first derivative of o**6\/180 + 4*o**3\/3 + 1. Let r(u) be the third derivative of x(u). Calculate f(r(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1694) + (sqrt(1694)*-1 + sqrt(1694) - sqrt(1694))*-2)\/(3*sqrt(6)\/sqrt(3) - -1*sqrt(2)*5).\nAnswer: 33*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -9*s**4\/5 - 26521*s**3\/5 - 152857*s**2\/5 + 220561*s\/5 - 41174\/5 = 0.\nAnswer: -2941, -7, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8.28 * -0.088\nAnswer: 0.72864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-102)\/(-170)*3*5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 127559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*i - 6*i + 4*i - 5760. Calculate the least common multiple of i and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 8*p**2 + 10*p - 4. Let n be f(7). Suppose -3*h = -n - 1. Solve 0*y - 3*d = -4*y + h, -2*d = 5*y - 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2397 and 1974.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/96 and 19\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 386 and 16?\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 - 5)*(-2272*l + 4603*l - 2278*l - 9).\nAnswer: 53*l - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 114462 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29616261 is divided by 562.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 30*l**2. Let n(g) = -14*g. What is n(a(o))?\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*f + 5974 = 23*f - 2*p, 4*f + 5*p + 23905 = 0. What is f rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -38369*p**4*y + p**3*y - 50279*p*y wrt p.\nAnswer: -460428*p**2*y + 6*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*c - 323 - 141. Let l be (-6)\/(-14) + (-244)\/14. Let t = l + 25. What is the greatest common factor of c and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154620 = -17*t + 70069. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 + 8*k - 7. Let v be i(5). Let a = v + -5. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.051 - -0.081. Let q = 0.03 - s. Are q and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*d + 660 = 926 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 13, e: 5}. What is prob of sequence hhee?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35 - -135. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 122*w - 684. Let q be v(6). Let z = -11 + 27. Let n be (2 - 5)\/((-6)\/z). What is the highest common divisor of n and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2835\/(-21)*3\/(-9). What is the greatest common factor of 63 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, l: 3}. Give prob of picking 1 l and 2 g.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (23 - 7)*(-2)\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p - 7. Let h be c(-7). Suppose 4*f + h = 4. Suppose 0 - 3*o**2 + o**4 + f + o**2 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 410 - 365. Factor -31 - 9 + 302*s + 18*s**2 - 347*s + 5*s**4 + 17*s**2 + a*s**3.\nAnswer: 5*(s - 1)*(s + 1)**2*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 81.3319 millennia?\nAnswer: 81331.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-1 + -4 + 5 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15\/4 in 4\/11, 0.4, -1\/2, -4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = 5*y - 7*y + 3, -y - 12*s = 61 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/sqrt(2) + 3 - (3*2*sqrt(8))**2.\nAnswer: -285 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 337959498?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - 17*y + 51. Suppose 5*t = -z - y, -z - 5*t + 1 = 2*z. Factor n - 4\/5*n**z - 1\/5.\nAnswer: -(n - 1)*(4*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13928?\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -635 at most 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of 1\/30*j**5 + 0*j + 1\/2*j**3 + 4*j**2 + 0 + 0*j**4. What is the first derivative of k(b) wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 259.3 + 24820222899.\nAnswer: 24820223158.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k. Let d(a) = -2*a - 3. Let g(c) = -72*c + 12. Let x(y) = 4*d(y) + g(y). Give x(b(r)).\nAnswer: 80*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, q: 2, i: 1, h: 1, z: 2, t: 1}. Give prob of picking 1 i, 1 o, and 1 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -50*v**2 - 2*v + 49. What is i(-4)?\nAnswer: -743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.36 - 0.46. Which is bigger: t or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 2 - (-9 - 5 - -1 - -24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 377 divide 136677580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 252397577?\nAnswer: 19, 13284083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 37 + 15\/6*2\/5. What is the second derivative of -t*i - 42*i**5 + 8*i + 5*i wrt i?\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 694.184 micrometers?\nAnswer: 0.000000694184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77721 divided by 3.\nAnswer: -25907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lpplppppplppppp. What is prob of sequence lll?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - -2. Suppose 3*d + 38 = 134. Suppose -5*o - 4*q = 6 - d, 2*o + t = 4*q. Calculate the lowest common multiple of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2\/1185 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -617 at least -686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7257, 7254, 7249, 7242, 7233, 7222?\nAnswer: 7209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -76 + 89. Suppose -2*x + 9 + f = 0. Solve 3*j + 8 = -l + 7*j, -j = 3*l + x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7*((-12)\/(-6))\/((-35)\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4689674.\nAnswer: 2, 11, 59, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 995391 - 2345.\nAnswer: 993046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 304 + -31.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 4:15 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 128.057 - 0.057. Let b = z - 138.4. What is b rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 312 and 708.\nAnswer: 18408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -15447, -61840, -139113, -247260, -386275, -556152?\n\"Answer: c**3 - 15446*c**2 - 62*c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.5 + 1.5. Let o = w + -7. Let q = -23 + 24. Put 0.5, q, o in decreasing order.\nAnswer: q, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 0.3, -10.769, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -26*b + 19*b + 14 + 7 + 13*b. Let j be y(13). Let u be 1452\/j - (0 - 4\/(-6)). What is the greatest common divisor of u and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1285435 - -934553.8714565. Let i = m - 934551.000056. Let x = -3 + i. Round x to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 230455151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5983 + 5987. Solve -4*s - u*g + 11 + 21 = 0, -2*s - 19 = -5*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of 0 - 5\/16*z**4 + 0*z - 1\/40*z**5 - 80*z**2 - z**3. Factor i(p).\nAnswer: -3*(p + 1)*(p + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 14 = -7*g. Suppose 6 + g = 2*x. Let a = x + 7. What is the remainder when 64 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 668580181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from rruur.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1111110110110000000 (base 2) to base 10\nAnswer: -519552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-4)\/(-32)*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 2:53 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = a - 187, -5*o + 215 = -4*a - a. Suppose -i - 3*i = -3*g - 193, -5*g = -25. Let q = i - o. Solve q = 2*s - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6833430 at most as big as -6833428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*c - 154*c = -150. Let f(w) be the first derivative of 0*w + 1\/3*w**3 + 0*w**c + 1. Let q(s) = -16*s**2. What is q(f(i))?\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 6*s + 5. Calculate the lowest common multiple of m(-5) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35d13 (base 14) in base 3?\nAnswer: -20200102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -107 - -49.4. Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24004.\nAnswer: 2, 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*u + 7*u - 10. Is (-502 - 0\/3)*u\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k + 4. Suppose -9*t = -0*t - 18. Let y(b) = -b - 1. Calculate t*y(l) + f(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 36, 97, 188, 309, 460, 641, 852?\n\"Answer: 15*b**2 + 16*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -6*d. Let o(y) = -2*y. Let v(h) = 7*o(h) - 2*u(h). Let f(z) = z**2. Calculate f(v(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3 - 2.7. Let o = -2 - w. Let j(q) = -q**2 + 6*q. Let r be j(6). Sort o, r, 3.\nAnswer: r, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 6015778?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 f when three letters picked without replacement from {o: 8, f: 4, y: 2, a: 1}.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qsqgkqqokqskksu. What is prob of picking 1 u and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (-8 + 3 + -2 + (2 - 0) - 6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 584053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(42\/40)*24\/(-120).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.45683215 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211106?\nAnswer: 2, 7, 17, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/11 - ((-1173)\/(-1309) - 1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - 3*d**2 - 2*d)*(4 + 0 - 6)*(-2 + 2 - 2).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -16*n - 7. Calculate y(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 265 is divided by 52.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of b**7\/252 - b**5\/40 - b**4\/36 - 15*b. Factor q(u).\nAnswer: u**2*(u - 2)*(u + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-2 + -3 + (-3*((sqrt(128) - (sqrt(128) - -2*sqrt(128))) + sqrt(128) - sqrt(128)) - sqrt(128) - sqrt(128) - 5*(sqrt(128) + -1)))*6*-4)**2.\nAnswer: 73731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -21\/5  (c) -2  (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -5*o + v, v - 6 = o - 0*v. Let x = o + 11. Does 3 divide x + 4 - 4\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 11*j + 22. What are the prime factors of o(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6678 (base 10) to base 15\nAnswer: -1ea3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*f**3 + 93*f**3 - 49*f**3 - 39*f**3 - 36*f**3.\nAnswer: -68*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 55937.945152 and -151.\nAnswer: 55786.945152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 0*t**2 - 8*t**2 + 4*t**2. Let m(a) = 5*a**2. Give h(m(f)).\nAnswer: -100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.325267735 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.28369 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1340000 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38 and 11932.\nAnswer: 11932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - -62. Suppose 22 = g - q, -g + w = 2*g - 4*q. Suppose 0 = f + 4*p - g, -2*f + 4*p = 2*f - 48. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5649, -11293, -16937?\n\"Answer: -5644*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 86*y + 270. What is j(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/16420 and -11\/20910?\nAnswer: 34334220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 2*i**3 + 0 + (1 - 5 - 1)*(-i**3 + 0*i**3 - 2*i**3) - 4*i**3 - i**3 + 4*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-3)\/(d*(d\/((d\/(d\/d**(-5)))\/d*d))\/d*d))\/(d**(-2\/7))**3)**(-6\/7))**(-11) assuming d is positive.\nAnswer: d**(-4224\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -6 * 733\nAnswer: -4398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14, 13, 6, -13, -50?\n\"Answer: -x**3 + 3*x**2 - 3*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24\/10 - 2\/5. What is the third derivative of 6*i**6 - i**2 - r*i**6 + 4*i**2 wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*y - y + 8*y + 7*y to the form j*y + q and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 36199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from cjiietttejei?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Is 103787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -8*l**2 - 108*l + 705. Determine j(7).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5975 and 5056045.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7085 - 6836 = a. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 134 = 206. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 48*q**3 - 2*q**2 + 8*q - 7. Calculate the remainder when 324 is divided by r(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {i: 5, p: 1, q: 1, l: 5, m: 1, o: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2176*y**2 + 21*y**4 + 3*y**4 + 2173*y**2)*(7 + 0 - 15) in the form n*y**3 + w*y**2 + l*y**4 + h*y + d and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, 5, 6088 in increasing order.\nAnswer: -3, 3, 5, 6088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 2:30 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 8*i + 3*f - 198, 43*i - 5*f + 284 = 36*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 11:11 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nqeiin. What is prob of picking 1 e and 2 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of -c**6\/2 + 18*c**5\/5 + c**2\/2 - 55*c - 41. What is the second derivative of y(n) wrt n?\nAnswer: -60*n**3 + 216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 703165132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2508 - 2504. Let f = 416\/2167 - 2\/197. Which is the nearest to 0?  (a) -3\/5  (b) f  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -1. Suppose i - 10 = -i + 2*n, 5*n + 25 = 4*i. Let r(q) = -q + 3. Calculate the remainder when r(i) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g = 11 - 331. Suppose -x = -11*x + g. Put -3, -2, x in decreasing order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28 and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nhhhnhhh. What is prob of picking 1 n and 3 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -o**4\/2 - 2*o**3 + 11*o**2\/2 + 6*o - 533. Suppose 5*j + 28 = 2*h, 0*j - 5*h = 3*j - 8. What is y(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 88232 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/5))**(7\/5)\/(t**(1\/15))**(-1\/9) assuming t is positive.\nAnswer: t**(194\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73, -50, 11, 128, 319, 602, 995, 1516?\nAnswer: 2183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 4*j**2 - j - 4. Let g be i(2). Let b(a) = -a**2 - 7*a - 4. Let t be b(-6). Let c(o) = t*o**2 - 3*o**2 - 3*o - g - 4*o. Give c(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9.2 in 0.4, -0.3, 0.1, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 6 + 0 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 977, -4, 1 in descending order.\nAnswer: 977, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/15 + 58658*t\/15 + 39108\/5.\nAnswer: -2*(t - 29331)*(t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2492 + -2179. Sort c, -0.09, 5.\nAnswer: -0.09, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 divided by 188?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 166*l + 84*l = -4*g - 86*l - 12, 4*g + l + 3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 302 + -127. Calculate the greatest common factor of a and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -n + 5, -2*n - 23*g = -24*g - 32 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*j + 30 = 0, -190 = -3*h - 2*h - 5*j. Let u = 231358 - 231226. Calculate the highest common divisor of h and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(57)\/sqrt(3)*6)**2 - (sqrt(1216)*-1 + -3).\nAnswer: 8*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence idh when three letters picked without replacement from iddhelllddl.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (644\/(-6))\/(19\/(-57)).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*c + 21*c. Solve c = -7*j - 3 - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 26865 = -5*w, 2*b - 5*b = -w + 5385. What is w rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**4*c)\/c)**(-6\/13)*c**(-8)*c*c\/c**1 assuming c is positive.\nAnswer: c**(-115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*z**2 + 2*z**2 + 0*z**2)*(-z + 2*z - 2*z) + z**3 - 2*z + 2*z)*(155*z - 307*z + 239*z).\nAnswer: 261*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004013 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-36))\/((-39)\/1989)*-1*1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-18)\/(-72))\/((-1)\/(-4)). Let t be d\/((464\/60)\/4 + -2). Let i be t\/((-945)\/14) + 43\/9. Is 3 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 87 = -3*q. Suppose 0 = -7*k - 106 - 69. Let u = q - k. Is u != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7150)\/(-429)*(2 + (0 - 1273022)). Round p to the nearest one hundred thousand.\nAnswer: -21200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 192 and 4683008.\nAnswer: 14049024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66 (base 13) to base 15.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -22\/7*i**2 + 236\/7*i + 66\/7 = 0.\nAnswer: -3\/11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + j + 13 - 39 = 0, -j = -4. Let p(f) = 8*f - 9*f**2 + 12*f**3 + 3*f**2 - z*f**3. Let t(m) = 2*m**3 - 13*m**2 + 17*m. Give 13*p(x) - 6*t(x).\nAnswer: x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in 2\/9, 1\/29, -191\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(112) + 4 + sqrt(112))**2 - (sqrt(112) - sqrt(112)*-2)**2*-5) + (sqrt(42)\/(sqrt(72)\/sqrt(108) - sqrt(6)))**2*-5.\nAnswer: -32*sqrt(7) + 20357\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 + 14. Let y be 3*(-5)\/(-15) + g\/(-2). Let z be -1*y\/(-15) - 9\/(-15). Is z < 1\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 34*o**2 + 301*o - 64. What is the thousands digit of l(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, o: 2, d: 1, w: 5, u: 8}. Give prob of sequence du.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {n: 3, j: 1, i: 1, t: 2, p: 2, d: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28 + 22. Find the common denominator of 2\/y - (-124)\/120 and 51\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jiqoc. What is prob of sequence qoij?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.07 from -0.06759.\nAnswer: 0.00241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.05, 0.04, -780?\nAnswer: -780","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.83998544 + -1.8399. Round y to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 4*z - 40, -4*c + 0*z = 2*z - 56. Suppose -2*b + 0*q - c = 5*q, 3*q + 18 = -3*b. Let d = -302 - -298. Sort 4, d, 0, b in descending order.\nAnswer: 4, 0, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1867545 - 362775 = -6*p. Round p to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r - 42 = -24*b - r, b + 4*r + 191 - 362 + 193 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*p**4 - 9435*p**3 + 58512*p**2 - 15948*p = 0. What is p?\nAnswer: 0, 2\/7, 6, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of y**8\/6720 + y**7\/840 + y**6\/240 + y**5\/120 + y**4\/4 + 2*y**2. Let h(l) be the second derivative of d(l). Factor h(v).\nAnswer: (v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 10. Let u(m) = 3 + 28*m - 10*m - 8*m - 12*m. Is u(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*w + 9. Suppose w*b = -4*a + 24, 0 = 3*b - 4*a + 15 - 41. What is the greatest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 38, 43, 30, -7, -74?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(1573) + 2 + (4*sqrt(1573)*2 + sqrt(1573) - sqrt(1573)))**2.\nAnswer: -198*sqrt(13) + 127414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -b (base 13) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3*m**3 + 31*m**2 + 6*m - 11. Let a be j(-10). Is a not equal to 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 6*f = -4*m - 20, 2*m + 16 = 4*f. List the prime factors of 116 - (m - -3 - 2).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101021 (base 3) in base 6?\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -43118.4, -1\/6, -2\/11?\nAnswer: -43118.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 4 + 0 + sqrt(2)*-1 + (sqrt(162)*-2*6 + 2)**2.\nAnswer: -433*sqrt(2) + 23333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, -3, 4\/9, -0.02, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.02 + -0.58. Let a = -4.8 - i. Let p = 1101\/5 + -219. What is the nearest to p in -2\/5, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 451 * -13.\nAnswer: -5863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 - 479)\/(-3) - 11?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 > 4302\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-280)\/56)\/(15\/(-12)). Let x be 4\/(-8) - 442\/(-28). Let t = 15 - x. Which is the third smallest value?  (a) 2  (b) g  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 59636628 and 12411?\nAnswer: 417456396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 5*g + 1. Let i be o(-5). Let k be (-4)\/(-16) - 10\/i. Sort -5, k, 2 in descending order.\nAnswer: 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4294*i + 221056 - 54741 = -78443 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-12)\/8)\/((-10)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 48*w**2 - 187*w - 268. Is y(46) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28041 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 65 - 113. Let p = w + -6. What is the remainder when 74 is divided by 1*(2\/3)\/(p\/(-627))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from vwwtw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*j - 40 = 40*j - 5*o, 0 = 3*o - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -10*n - 87. What is m(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 19546266839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 102?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 136840 and 13340.\nAnswer: 91272280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 3 + (2 - 1 - 3)*(-2 + 0 + 0) - 1 - 1 + 4 - 16 - 9 - 8)*(-9 - 3 + 4)*(12*m**3 + 6*m - 6*m) as x*m**2 + g + v*m + k*m**3 and give k.\nAnswer: 2688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118*q + 120*q = 48. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -219*g**4\/5 + 5926469*g**3\/5 - 40093313713*g**2\/5 - 3991252601*g - 2197055532\/5 = 0. Calculate g.\nAnswer: -1\/3, -12\/73, 13531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 34695697 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 11*w**2 - 13*w - 17. Let q(n) = 5*n**2 - 6*n - 8. Let x(o) = 4*g(o) - 9*q(o). Determine x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.032386575339+4\nAnswer: 3.967613424661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.04 + 2.24. Which is the second smallest value?  (a) -2  (b) -5  (c) 11  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 11*a**2. Let y(j) = -181*j - 2. Determine y(k(g)).\nAnswer: -1991*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-5)\/(-75)*-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -123, -167, -99, 81, 373, 777?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24683 - 12355 - 12328 + 7*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - 532523*n + 3195191. Give t(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101 is divided by (-36)\/(-8)*(-30)\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 8\/11  (b) 5\/2  (c) 2\/25  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6643, 12550, 17721, 22156, 25855?\n\"Answer: -368*t**2 + 7011*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bkakabbbbbkbkkzkkbb. What is prob of sequence abaz?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 7*w**3 - 5*w**2 + 26*w - 142. What is the least common multiple of 880 and l(4)?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 10 = -k. Let h be (4\/k)\/((-2)\/790). What is the common denominator of (1\/(-3))\/((-16)\/h) and -63\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53 - 29. Suppose -8*c = -0*c - z. Let k(l) = -4*l + l + 2 - c*l. Calculate k(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -76548*f + 153068. What is k(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 42, 75, 120, 177, 246, 327?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(264)\/((6*sqrt(60))\/sqrt(10)))\/(sqrt(28)\/(1*(sqrt(7) + (sqrt(7)*-5 - sqrt(7))))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7493 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 22395*j - 73004 wrt j?\nAnswer: 22395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 56 and 548?\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3061484462 rounded to the nearest 1000000?\nAnswer: -3061000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7*(-51)\/4046 - (1 + 2) and 61\/166.\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/30)\/((-8)\/60)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16717481167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x = 4*q + q + 64, -42*q = -11 - 157 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6051, 5994, 5937, 5880?\n\"Answer: -57*n + 6108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t + 3*t - 5*t + 2*t to the form v + f*t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 146473 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-30) + (-14)\/(-35).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 172.14 + 665500.541.\nAnswer: 665672.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11.7 + -2.3. Let p = -3 - r. Let b = p - 10. What is the third smallest value in 3, b, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3726 equal to -3727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, r: 16}. Give prob of sequence rerr.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -309 and -0.074418836.\nAnswer: -309.074418836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -8*u + 3*u + 1385, 2*u = q + 554. Let f(d) = 4*d**3 - 5*d**3 - 7 - 284*d + u*d - 7*d**2. What is f(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y + 4. Let q(d) = 6 - 3 - 2. Let l(n) = 4*q(n) - z(n). Let j(m) = 9*m. What is l(j(f))?\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of 23*k**7\/210 - 3*k**6\/40 + k**5\/30 - 23*k**4\/24 - 494*k**2. Find the third derivative of i(n) wrt n.\nAnswer: 552*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34 + 48. Calculate the greatest common factor of 70 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-69)\/(-165) - 30\/50?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b**2 - 4*b + 4. Let s(z) = z**2 - 3*z + 3. Let w = 28545 - 28543. Calculate w*x(n) - 3*s(n).\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, d: 1, l: 1, m: 3}. Give prob of sequence ld.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2621, -2615, -2609, -2603, -2597?\nAnswer: -2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.666, -0.5, -12\/11, -0.2, 1, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -34*n - 60. Give l(-5).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zizizzizizzzzi.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -801*l**3*v**5 - 543*l**3*v**2 + 2*l**3*v + v**5 wrt v.\nAnswer: -48060*l**3*v**2 + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in 4, 2\/7, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = u + 39, 14 = 5*r - 4*u - 82. Suppose -40 - r = -5*f. What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from quurztuuuttr. Give prob of sequence qtt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 2992.80937 to zero decimal places.\nAnswer: 2993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*z - p + 8, -7*p + 4*p = -2*z - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 220314202 (base 5) in base 16?\nAnswer: e7754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/81 and 14\/37.\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the first derivative of 61*m**6\/360 - 5*m**4\/12 + m**3 - 11*m + 12. Let r(a) be the third derivative of f(a). Differentiate r(k) with respect to k.\nAnswer: 122*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**2 - 4. Let q(g) = -g - 7. Let y be q(-4). Let i(f) = -f**3 - 4*f**2 - 3*f - 3. Let o be i(y). Determine w(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, l: 3, j: 3, v: 3, d: 1, b: 2}. What is prob of sequence vb?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1819 - 1815. Solve h + 3 = 4*t - 2*t, -j*h + 2*t - 18 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1))**(-3\/2))**(12\/17) assuming z is positive.\nAnswer: z**(18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50 + -54 - (-263 + 111)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10\/17747 + -556497\/11251598. Let l = x + -14284\/2853. Let u = -847\/2 - -403. What is the common denominator of l and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = -4*i - 4*d + 468, 4*i - 394 = -2*d. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mqekzqmessmm. Give prob of sequence qekz.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185*y**2 + 39*y**2 + 68*y**2 + 32*y**2 + 1 - 1 + 27*y**2.\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110101001100111001110101 (base 2) to base 9.\nAnswer: 28215874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*z**3 + 75*z**2 - 96*z + 36.\nAnswer: -3*(z - 2)*(2*z - 3)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-27)\/18 - (-3 + 0). What is the third smallest value in 2, d, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2060*q - 6362*q + 2060*q + 2261*q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + -3.2. Let i = 2 + y. What is the biggest value in 0.5, 3\/5, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 284 and 1575135.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - 445?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 + 6. Let y = -6 - g. Let v = 3 + 1. Which is the nearest to 0.1?  (a) y  (b) v  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k. Suppose -5*j = d + 4*d - 20, -3*j = -5*d - 4. Suppose -j*s - s + 8 = 0. Let r(c) = 0*c + s*c - 5*c. Calculate n(r(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide -1 - (-88280)\/64 - 18\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 8:01 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + 1 + -7 + 27. Let k(a) = -68*a. Let w(p) = 17*p. Let h(o) = d*w(o) + 4*k(o). Let t(n) be the first derivative of -2*n**3\/3 + 1. What is t(h(c))?\nAnswer: -2312*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/((14\/(-20))\/(-7)). Let l = 13 + f. Factor -2*p**l + 5*p**3 - p**2 - 3*p + p**2.\nAnswer: 3*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 times 12768?\nAnswer: 434112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - c - 5*r - 29 = 0, 5*c + r - 15 = 0. Let j(o) = -16*o**3 - c + 3*o + 4 - 11*o - 5*o**2. Is j(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 883 is divided by 293.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39\/(-12) + (-4)\/(-16) - 11*(-930)\/341.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5120 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.2906 - 0.2906. Which is the nearest to d?  (a) -1  (b) 0.3  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 896 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 193\/19320 and 151\/399280.\nAnswer: 1197840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/21?  (a) 1  (b) -0.4  (c) 3  (d) 1\/3  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*m - 66*m - 216 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**4\/5 - 16*g**3\/5 - 84*g**2\/5 - 16*g\/5 + 112\/5.\nAnswer: 4*(g - 7)*(g - 1)*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 3*x = -19, 2*x + 1 = -w - 5. Suppose -3*m - 955 = 2*q - 3977, w*m - 4035 = 3*q. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 42 = 4*c, 4*c - 249*s + 251*s - 36 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 314\/39 + (-17 - -9). Is -2 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9 - ((-2 - -1) + 2). Let j = y - -18. Suppose -2*l + 2*k = 2, 3*l + 2*k + j = 6*k. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 96*q - 89*q + 32 = 0, 3*q = -12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 344*l**4 + 400*l**3 + 8785*l**2 + 22 wrt l.\nAnswer: 8256*l + 2400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5 - 5)\/((-3)\/(-1)). Suppose 0 = -2*c - p*c - 30. Let o = -29\/2 - c. What is the second biggest value in o, 1, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64 + -69. Let v = -305 + 305.5. Let f be 4\/(-3)*1\/8. What is the closest to -1\/5 in o, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(7742\/56)\/(-79)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53403?\nAnswer: 3, 7, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/5*(-30)\/6 - 3. Let n(v) = -v**2 - 8*v + 1. Calculate n(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o + 2. Let k be x(2). Is 26 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 + 10*v + 60. Determine y(-7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 50*q**3 + q. Let t(i) = 50*i**3. Give 2*t(y) - 3*u(y).\nAnswer: -50*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 365568 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*b = 29*b - 6. Solve 0 = 5*n + 3*m - 6, 0 = -b*n + 2*m + 1 + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 216332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + -1 + 1)\/(-6). Let g = -0.055 - -0.385. Let l = -0.03 + g. Which is the nearest to 0?  (a) m  (b) l  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.2 - -0.89. Let m = c + 0.21. Put -3\/2, 0, m in decreasing order.\nAnswer: 0, m, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 2 - 8 = 0. Let c(s) = 5*s**2 - s - 1. Let t(m) = 20*m**2 - 4*m - 5. Let x(q) = 9*c(q) - 2*t(q). Let n be x(1). Sort n, b, 3.\nAnswer: b, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 + 5. Let n = -17.3 - w. Let g = -17 + 117\/7. Which is the closest to g?  (a) 1  (b) n  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*(g*g*(g*(g\/(g\/g**(-22)))\/g*g)\/g*g*g)\/g*g*g*g*g*g*g*g**(3\/4)\/g assuming g is positive.\nAnswer: g**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3*l**2 + 3. Let x = -2097 + 2098. Give o(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2416577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5*((-6 - 3\/((-30)\/124)) + -7). Let 5\/3*b**2 - 80\/3*b + 115\/3*b**q + 20\/3 - 25\/3*b**4 - 35\/3*b**5 = 0. What is b?\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/5  (b) 3  (c) -1878  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 428246481, 856492964, 1284739447, 1712985930?\n\"Answer: 428246483*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45.954 - 46. Let a = o + 0.046. What is the nearest to a in -2, -8\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32732\/3006 + 169\/468 + (-2)\/8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 8*s - 8. Let t be -5 + (1 - -3) + 7. Calculate x(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -1\/60*z**5 - 3*z**2 + 1\/60*z**6 + 1\/6*z**3 + 0 + 0*z + 1\/24*z**4. Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - m = d + 7, -5*m = -d + 21. Let f be (-27 + d)\/(-1 - (-5)\/(-5)). Which is the nearest to 0?  (a) 2\/19  (b) f  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -66 - -116. Suppose -q = 5*d - d - 10, -5*q + d = -s. Calculate the remainder when 29 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*b**2 + 8*b**2 + 15*b**2 + (2*b - b + 0*b)*(-2*b + 3 - 3) + 805*b**2 + 209*b**2 - 361*b**2 in the form h*b**2 + v + i*b and give h.\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, m: 4, h: 1, j: 1, b: 2}. Give prob of sequence hb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3359 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 21 - 5 = 0. Let i(d) be the second derivative of 1\/3*d**3 - 1\/4*d**f + 0*d**2 + 3*d + 0. What is the second derivative of i(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 5*s - 6, 5*h - 4*s = -2*s + 9. Let n be ((-4 + h)*1)\/(7\/(-14)). Solve 3*p - 2*p - n = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5571775175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/4)\/((-4)\/50)*-2. Let w(m) = -m**2 - 23*m - 83. Let j be w(-20). Is r bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -462 - -477. Calculate the least common multiple of 33 and v.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26763094 to the power of 1\/2, to the nearest integer?\nAnswer: 5173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 186 and 4.46025.\nAnswer: 190.46025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 4*x - 40, -3*x + 4*x - 3*s = 21. Differentiate -19*b**3 + x*b - 9*b - b**4 + 56 - 14 wrt b.\nAnswer: -4*b**3 - 57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*z + 8*z + 8*z to u + f*z and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 489684, 979370, 1469046, 1958706, 2448344?\n\"Answer: -w**3 + w**2 + 489690*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 10*m + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 2 - (-2 - 0 - (-22 + 41))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 3*w**2. Let p(c) = -8216879*c**2. What is p(z(r))?\nAnswer: -73951911*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 11483013, -2, -4 in decreasing order.\nAnswer: 11483013, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 30 = 2*x, g + 2*x + 0*x = 9. Suppose i + 6 = 4*i - k, -g = 5*i + 4*k. Solve i = 2*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gjjgjlzgtgyggjtjg. Give prob of sequence gzty.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20028769?\nAnswer: 3989, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.1, -5, -286\/7, 1\/9 in descending order.\nAnswer: 1.1, 1\/9, -5, -286\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5, 10, 15?\n\"Answer: 5*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/26*(-14 - -12). Let p = 12169\/23 - 529. What is the third biggest value in -3\/4, p, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h**3 + 16*h**2 + 5*h + 41. Give j(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (20\/8*-2 + 4)\/(-1). Let q = v + -5. Suppose t + 17 = 5*o + 2*t, -o - t = -1. Put o, q, -3 in descending order.\nAnswer: o, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9536722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -23 + -5 + (4 - -4) + -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 7 = 1. Let i(r) be the first derivative of -w*r**2 + 8\/3*r**3 - 1 + 1\/2*r. Find x such that i(x) = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-14)*m**(1\/2)\/m)**(-29\/2))**(-37) assuming m is positive.\nAnswer: m**(-31117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1323242157.\nAnswer: 3, 263, 1677113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(44)\/(sqrt(16)\/sqrt(4)) + -2) + 1 + sqrt(176) + sqrt(176) + sqrt(176)*-1 + sqrt(176) + sqrt(176) + sqrt(176) + 0)**2.\nAnswer: 182*sqrt(11) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = r - 2. Let m(n) = -r*n + 4*n - n. Let w(y) = -y**2. Calculate w(m(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 2:45 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -394397*d**5*y - d**3*y**3 - 8314*d**2*y**2 - 49*d*y**3 wrt d.\nAnswer: -23663820*d**2*y - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 2874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -879 by 15.\nAnswer: -293\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*1\/(-34)*-6. Is s equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4476992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 314354361 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*y - 166*y = 308 + 268. Let k = -0.07 - 6.93. Let j = -3 + 1. What is the second biggest value in -2\/7, j, k, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 939 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -259 + 137. Let v = 262 + s. Suppose -r = 4*r - v. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172 = -5*d + 433. Suppose -3*r = -m + d - 23, 258 = 3*m + 3*r. Suppose b - m = 132. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01677658 to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0190109655 to four dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -24266 + -4?\nAnswer: -24271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22975\/5514)\/((4\/6)\/((-4)\/30)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*j + 22*j - 5*m + 85, 0 = 2*j + 4*m - 54. Solve 130*r - 137*r + j = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*x**2 - 74 + 39 + 35.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 11:30 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.311754217 rounded to 5 decimal places?\nAnswer: -0.31175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 - (-1 - 2*-1). Suppose -4*v - 9 = -y*h - 33, 6 = 2*v. Let b = -759.14 + 759.34. What is the closest to 0.2 in b, 0, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/36*40\/(-110).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1558 = 38*g - 4294. Suppose -326*w = -328*w + g. Calculate the remainder when w is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -r + 2, 3*r - 33 + 7 = w. Suppose -12537 = r*o - 16*o. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2159174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 42 and 52507524?\nAnswer: 367552668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13680 is divided by 6819.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.63278 micrometers in millimeters?\nAnswer: 0.00163278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -5, -3, -4, 888 in ascending order.\nAnswer: -5, -4, -3, -0.2, 888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 - 38*l**2 - 103*l + 13. Determine r(-35).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 4*c. Suppose c = 4*i + 2*b - 39 - 51, -i = 3*b - 30. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 656 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 47695805293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g. Let x be f(-5). What is the highest common divisor of x and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/7 in -4, -1\/16, -3, 0.4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 244*2.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.6 - -1.6. Let f(w) = w - 13. Let j = 6 + 4. Let v be f(j). Which is the second biggest value?  (a) v  (b) 3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 178 = -5*r, 3*r - 42 = -2*v + 57. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -32\/5, 8, -3\/4, 2073 in increasing order.\nAnswer: -32\/5, -3\/4, 8, 2073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 390 and 328.\nAnswer: 63960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -3*y**5\/10 + 21*y**4\/8 + 23*y**3\/2 - 765*y**2\/4 + 675*y - 5735. Suppose i(l) = 0. Calculate l.\nAnswer: -6, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 12 = 72. Let t be 2\/7 - (-34)\/28. Sort z, -0.4, t in ascending order.\nAnswer: z, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3467 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.101 greater than or equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -170*r**5 - 3*r**4 + 7822*r**3 - 7605776*r**2 + 2*r wrt r?\nAnswer: -10200*r**2 - 72*r + 46932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -x + 22. Let r = x - 16. Let k(d) = 26*d - 13. Let p(t) = -13*t + 6. Let g(l) = -4*k(l) - 7*p(l). Let v(s) = -9*s + 7. Calculate r*g(n) + 7*v(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 5 + 2*g - 1 - 1. Let d be t(4). Let k be 0\/(-2) - 0\/2. Solve 5*m + d = -o - 0*m, k = 4*o - m + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - -8 - 4)*2\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19.55 - 9.4. Let o = 25 + s. Round o to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + t**2 + 3*t + 3. Let f(o) = o**3 + o**2 + 4*o + 4. Let s be 10\/20 - 9\/2. Calculate s*g(a) + 3*f(a).\nAnswer: -a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/225 in -4, 1, -19.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007332 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18532 and 2052419?\nAnswer: 4633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42595 is divided by 150.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -330\/7 equal to -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 101574*l + 1. Let r(y) = y. What is r(t(m))?\nAnswer: 101574*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 81000629429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 193788553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 919, -3, 5 in increasing order.\nAnswer: -3, 5, 919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6 - -69665 - (-13)\/(52\/32)?\nAnswer: 59, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3013 - -1?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 272995919421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 0 - ((-3 - (-10 - -6)) + -18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/8 and -127\/78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.49 and 0.06.\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*u - 2*j = -11 - 33, 3*u - j = -12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -3*m**3 + 33*m**2 - 41*m - 44. Let x(r) = r**3 - 11*r**2 + 14*r + 15. Let b(d) = 6*j(d) + 17*x(d). What is the units digit of b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o**4 - 6*o**2 - 2*o**3 + 3*o - 1 - 4*o + 7*o**2 to the form g*o**3 + k*o**4 + t*o + d*o**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/3  (b) -0.2  (c) -1\/9  (d) -12  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 8:02 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 218 = -4*d, -5*d - 213 = -3*s - 2*d. What are the prime factors of (-2)\/10*0 + s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 512.1 + -512.14326. Round b to three decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-8) - ((-124)\/16 - -4). Suppose k + x*d - 11 = 0, -d - 104 = -4*k - 2*d. Solve 2 + 7 = -4*q + w, -2*q - k = -5*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89481656 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3\/289675 - -36206981\/231160650. Calculate the common denominator of v and -59\/152.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqddqqqqqdqqqqdqqq. Give prob of picking 1 q and 3 d.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 0)*0 - 6690\/(-24530).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -q**4\/6 + q**2\/2 - 22*q. Determine u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3534801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -174272 - 65?\nAnswer: -174337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -45893711 divided by -232963?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 2:10 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.425?  (a) -1  (b) -2\/9  (c) -2  (d) 0.4  (e) -1337\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.069 take away -903737887591?\nAnswer: 903737887591.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 13 = 2*i, 5*v - 7*i - 2119 = -2058 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27765361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 21 + 26 = 0. Sort 3, a, -2 in descending order.\nAnswer: a, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + 1bb317?\nAnswer: 1bb318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (69\/6)\/((-1)\/(-2)). Let q be (-326)\/6 - (37\/(-3) + 12). What is the common denominator of 101\/40 and v\/(-160) + (1 - q\/(-45))?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*(h**(-1\/3)\/h)\/h)\/h)**(17\/7)\/(((h**3\/h)\/h)\/h*h\/h**(-2\/5)) assuming h is positive.\nAnswer: h**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the third derivative of -4*r**2 + 0*r - 1\/10*r**6 - 1\/4*r**4 + 7\/20*r**5 + 0 - 1\/2*r**3. Suppose w(y) = 0. Calculate y.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10*(-6)\/(-30)*273. Is b at most 546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -5.4.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-438)\/20)\/(16 - 2580\/(-75)) and 44\/63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32562 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**4\/24 - q**3\/2 + 7*q**2\/4 + 5*q - 14. Solve a(w) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -26*y - 5. Let v be w(-1). Let a be -2 - 4\/(4\/(-9)). Let q = a + v. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 99 + -90. Let l(o) = 52*o**2 + 14*o - 11. Is l(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 11*v**2 + 4*v + 1. What is l(-8)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 313020 divided by -564.\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 3*h**3)*(-240 + 12*h + 240) to z*h**2 + k*h**3 + i*h**4 + w + g*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 8*h**2 - 7*h - 1. Let y be w(7). Let r be (3\/6)\/(y\/(-24)). Suppose 4 = 2*t - r. Solve -t + 18 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + -205485545?\nAnswer: -205485563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n. Let j(p) = 2838089*p. Give r(j(k)).\nAnswer: 5676178*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n + 24 = n. Let i be 1 - (n + 100\/24). What is the smallest value in 6\/5, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 38, 73, 108, 143, 178?\n\"Answer: 35*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282088 is divided by 141033?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*k - 3*k = 319991. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*k - 3. Let w be (200\/60)\/(1\/k). Solve -5*n + w = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-40)\/25 - (-6)\/(-15). Let k(u) = -4*u - 3. Give k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -3*l**2 - l - 5. Let s(u) = 5*u**2 + 2*u + 10. Let q(r) = 4*s(r) + 7*t(r). Let h be q(0). Let w = 2 + -1. What is the closest to 0 in h, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1362 - 811. Suppose 416 = 8*t + 264. What is the greatest common factor of v and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1792 and 16?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f + 1. Let v(y) = 5*y - 34. Calculate 3*u(j) - v(j).\nAnswer: j + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (220\/231)\/((-40)\/(-140))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 6) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 871066.8us?\nAnswer: 0.01451778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*u - 160 = -73*u. Suppose v = -u*h + 7*h + 28715, -3*h + 4*v = -28690. What is h rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from {y: 4, x: 8, t: 1, b: 7}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -15*o**3 + 27*o**2 - 36*o + 523. Is b(-38) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1940 = 256*c - 132*c + 1408 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 165*h - 7926. Determine d(48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000217411747 rounded to six decimal places?\nAnswer: 0.000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, 3\/5, -0.3, -0.4, -4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3011 (base 5) to base 8\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 15  (b) 3\/2  (c) -8  (d) 2\/7  (e) 0.63  (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7987348, 7987352, 7987358, 7987366, 7987376, 7987388, 7987402?\n\"Answer: c**2 + c + 7987346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(4536) - (sqrt(56) + -2*sqrt(8064)))\/(-1*sqrt(800)*-6) + 2 + -2.\nAnswer: 8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*r - 12*r + 6*r - 535 = 175*a, r - 107 + 14 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.832 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m**5 - 25*m**4 + 1005*m**3 + 7525*m**2 - 1000*m - 7500 = 0. Calculate m.\nAnswer: -10, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a*((a*a\/a**(-2\/9))\/a)\/a*a)\/a)\/a*a**(-7)*a)\/(a*a**1*a**8*a) assuming a is positive.\nAnswer: a**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 88 + -51. Let s = x - 19. Calculate the greatest common divisor of s and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20 + -102240230?\nAnswer: -102240210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -dc + 6337?\nAnswer: 6239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-213*q - 287*q**2 + 67*q + 71*q + 75*q)*(-56*q + 6*q**2 + 56*q).\nAnswer: -1722*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 10 - (-34 + (-22 - -56)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of -w**4\/24 + w**3 - 2*w**2. Let t be d(6). Find the second derivative of 0*m**4 + 2*m + t*m - m**4 wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-95)\/30 - -3)*(-100)\/125. Sort 0.6, v, 1\/18.\nAnswer: 1\/18, v, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-605 + 605 - 247*k)*(3*k + k - 3*k) + k**2 - k**2 + 2*k**2 in the form d*k**2 + p*k + o and give d.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007811 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -125078\/23 - -5437. Is w smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.348808 plus 11468940?\nAnswer: 11468941.348808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of s**3\/6 - 11*s**2\/2 - s. Let c be d(13). Suppose -55 = -c*y - 19. Calculate the highest common divisor of 72 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*w + 39 + 6*w - 85)*(357*w - 357*w - 37*w**2).\nAnswer: 37*w**3 + 1702*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -29543, -29427, -29109, -28487, -27459?\n\"Answer: 17*x**3 - x**2 - 29559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 6\/107 - 684\/749. Sort p, 4\/3, -2\/3 in increasing order.\nAnswer: p, -2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*g + 15750 = 154*g. Does 50 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 f, and 1 x when three letters picked without replacement from hfhbxbzs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + -17 + (-1 - -10) + 23 + -80?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -94 - -95. List the prime factors of p - -113*(0 - (-10 + 5)).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-14 + 31 + -18 - -16)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 368140 by -395.\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 1 - 2)*(4*i**3 + i**4 - 4*i**3) + (3*i + 2*i + 0*i)*(-144*i**3 + 97*i**3 + 213*i**3) to o*i + h*i**3 + r*i**2 + x + z*i**4 and give z.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 633*a = -629*a + 15, -a = 4*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 26 (base 9) to base 13\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2060445 + 0.20421. What is l rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 140 and 270620.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -2, -3\/5, 1461?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d**2 - 7. Let s(m) be the third derivative of -m**4\/24 + 20*m**2. What is q(s(r))?\nAnswer: -3*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of -p**5\/60 - p**3\/6 + 305*p**2. Give v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 75 = -5*i, 0 = -5*r - 5169*i + 5167*i - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20.8 + 20. Sort f, 4, 3 in increasing order.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g + 29 - 109 = 0. What is the units digit of (-1)\/2 - (-516)\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3372 - 9*k + 3394 + 3382 - 10148.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.015642125 rounded to 3 decimal places?\nAnswer: -1.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 171839649 at most 171839646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/2)*x**(-6)*(x**(2\/7))**(-5\/13))\/(x**(-7)\/x**(-2\/15))**(-13) assuming x is positive.\nAnswer: x**(-259013\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*c + 7*c - 21. Which is smaller: c or 10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 9*b + 48555, b - 17405 = -3*j + 11696. Is 66 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 677 is divided by 220?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1517 divided by 1?\nAnswer: -1517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -2.8. Let m be (-4)\/3 + 176\/6. Let g be (-7)\/m - (-2)\/(-8). Sort d, 1, g in decreasing order.\nAnswer: 1, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -5*l**5 + 15590*l**4 - 11668860*l**3 - 764928710*l**2 + 5920939745*l = 0?\nAnswer: -67, 0, 7, 1589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -501*z + 471*z**3 + 909*z + 169*z**3 - 407*z.\nAnswer: 640*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42, 114, 198, 300, 426, 582?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2401\/20 + -120. Let y(h) be the second derivative of -g*h**5 + 0*h**2 + 0 - 2*h + 0*h**3 - 1\/12*h**4. Let y(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {k: 2, g: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t - 10. Let b be n(8). Let a = b + 5. Solve v - a*v = 8, -5*j + 14 = -v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22544147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 1385 and -337.25.\nAnswer: 1047.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t\/t**8*t**5\/t)**24)**(-5))**(-1\/32) assuming t is positive.\nAnswer: t**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**4 + 684*y**3 + 22798*y**2 + 236676*y + 697680 = 0. What is y?\nAnswer: -306, -19, -12, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1905  (b) 8\/33  (c) 0.6  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 385 = -5*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0166 times 32?\nAnswer: -0.5312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = 2*w + 13 - 25, 4*w = -10*o + 24 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 a factor of 2643455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*(f\/(f*f\/(f\/f**(-10)*f)))\/f*f)\/f*f\/(f\/(f*(f**(-9)*f)\/f*f))*f*f**6\/(f**0\/f*f))**44 assuming f is positive.\nAnswer: f**484","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34 + 102. Let v(o) = -y*o**3 + 69*o**3 - 4 + 3. Suppose -k + 3 - 2 = 0. Let j(d) = 4*d**3 + d - 2. What is k*j(z) - 3*v(z)?\nAnswer: z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j - 10. Let o be l(6). Put o, -2, -5 in descending order.\nAnswer: -2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + p**2 + p - 26. Let z be o(0). Let v = z - -48. Suppose 1385 = 36*a - 1783. What is the highest common factor of a and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -10*m + 2. Let u(t) be the second derivative of t**3\/3 + 19*t + 32. What is r(u(j))?\nAnswer: -20*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1713*b**2 + 173*b**3 + 124*b**3 - 467*b**3 + 171*b**3 + 186169411 + 978123*b.\nAnswer: (b + 571)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 4*k**4\/5 - 13608*k**3\/5 + 11600788*k**2\/5 - 46239984*k\/5 + 46185616\/5 = 0?\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 - 401*x**2 + 32 - 57.\nAnswer: -401*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/5, 4, 35?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 257*k**2 - 254*k**2 - 5.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -101723 + 101725. Let d = 1 - -4. Sort -3, 3, d, s in descending order.\nAnswer: d, 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 6*z = 10*z + 12, 9 = -2*t - 3*z. Let n = 1 - -5. Suppose 2*s - 2*w + 360 = n*s, -2*s + 4*w + 160 = t. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.031 + -1.031. Let j = 192 + -574\/3. Which is the third biggest value?  (a) v  (b) j  (c) 0  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1134) - (sqrt(1134) - (sqrt(1134) + (sqrt(1134) - -1*sqrt(1134))) - sqrt(1134)))*-3)\/(-5*(sqrt(2) - 2*sqrt(2)) + (sqrt(32) - sqrt(32)*-2)).\nAnswer: -108*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 4:42 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2 - 175*r - 36358. Let j be b(-98). Solve -21\/4*z - 1\/4*z**3 + 5\/2*z**2 + j = 0 for z.\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q. Let h(c) = -c**3 - 13*c**2 + 12*c - 7. Let k(s) = 2*d(s) - h(s). Let i(b) = b**3 + 8*b**2 - 85*b - 28. Let n be i(-14). Calculate k(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 13*h**2 - 11*h - 15. Let d be x(10). What is the greatest common factor of 50 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 38026 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 438*q = -440*q + 27103, 0 = 3*q + 12. What is the remainder when n is divided by 238?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4600.423165 rounded to 0 decimal places?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 + 8*2\/(-4))*-14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 64139820 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (1 + sqrt(76) + -5 - sqrt(76)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 617509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13038672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -102121?\nAnswer: 102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.13 in 2, -4\/3, 3, -7.6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**4 + 2*n**4 - 3*n**4)*(-6 + 2 + 3 + (-1 + 6 - 2)*(1 - 4 + 0)).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 12:18 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/10 - 17\/30. Let j(m) = m**2 - 12*m - 18. Let z be j(13). What is the nearest to f in z, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1759a95 (base 11) to base 7\nAnswer: -34242560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - 1 - (1 + -2). Suppose -16 - 9 = -5*a. Put a, -5, p in descending order.\nAnswer: a, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27.1?  (a) 0.005  (b) -2  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jpepagajjxaajjjgj. What is prob of sequence ja?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9511472189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = 13*o - 102694 + 102676 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 573*s - 5156. Let u be n(9). Let l be ((-2)\/(-4))\/(9\/(-15)). Put u, 3, l in decreasing order.\nAnswer: 3, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - 2*d - d)*(0*d**3 - 4*d**3 - d**3).\nAnswer: 15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 19  (b) 9  (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.94, -21\/2, 1\/2, 1, -2\/7, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 6. Let s = t + 11. 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 is 3\/1 + -27 + -9 + 13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2564 - -2591. Solve -10*p + s*p - 34 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 divided by -3?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 44 + -21. Let d = r + -12. Let m = 33 - d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - b**2 - 4*b + 1. Give d(-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-26) + 2268\/(-13104) - (-45)\/(-4)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -192 - 35*z**2 + 192 as i*z + w*z**2 + g and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1243 + -35?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 4, j: 4, n: 4, b: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**3*c - 324*b**3 - 3*b**2*c - 59*b**2 + 28077*b*c - 12*c wrt b?\nAnswer: 12*b*c - 1944*b - 6*c - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3004 and 44?\nAnswer: 33044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 746634.\nAnswer: 2, 3, 7, 29, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 381833708, 381833712, 381833718, 381833726?\n\"Answer: l**2 + l + 381833706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10613 + -15?\nAnswer: -10631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 3:32 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 3*i**2 + 2*i - 4. Let k be d(3). Solve 0 = -b + 3*q - 10, b - 5*q = 4*b + k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -6*t**2 - 2. Let h(x) = 6*x**2 + 3. Suppose 0 = -9*i - 33 + 60. Determine i*h(r) + 4*y(r).\nAnswer: -6*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j. Let u(a) = -a + 1. Let w be u(-5). Let f be -2*3\/(-9) + 15\/(-9). Let y(z) = -7*z + 2. Give f*y(x) + w*v(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 - 9*f. Let z be b(-9). Calculate the remainder when 43 is divided by 33*(4\/12 - z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13175 divided by -5958.\nAnswer: -13175\/5958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 0  (c) 535\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - m)*(0*m - m + 2*m) + 135 - 43*m**2 - 80 + m + 45*m**2 to the form l + d*m + o*m**2 and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of z**6\/120 - z**5\/30 - 11*z**4\/24 + 2*z**3 - 28*z**2. Let j be b(4). Solve j = w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n + 24. Let d be b(5). Let f be ((-14)\/d)\/(1\/(-116)). Let y = -113 + f. Calculate the highest common divisor of y and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7506 + 23084. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2065 + 8063 = 4*i. Suppose 0 = -453*s + 457*s - i. List the prime factors of s.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39866 - 10*t**3 - 39866.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-13680690)\/1584)\/(5\/(-2) + 3). Let d = y - -17274. Find the common denominator of 43\/18 and d.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 + 4 - 17 = 17*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 21998 and 21997 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*s**4 - s**4 + 2*s**4)*(-6 + 1 + 3) - 17901*s**4 - 5675*s**4 + 38337*s**4 as l*s**2 + p*s**3 + r*s**4 + k + u*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 1:04 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 3*g = 37. Let n = g - 26. Suppose -5*u = -2*w - n, -w = 3*w + 4*u - 20. Solve -w*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -207, -412, -617, -822?\n\"Answer: -205*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 20570?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/4 + (-15)\/4. Let w be 1\/(2\/u)*-12. Let m be (-48)\/(-20)*(-5)\/(-2). Calculate the highest common factor of m and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19473637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -5*s + 2*d, 5*s = -d + 2*d + 77. Calculate the greatest common divisor of s and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r*r**(-1\/20)*r*r*(r\/(r\/r**(-24)))\/r*r assuming r is positive.\nAnswer: r**(-401\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -165 + 165 + 9*s. Let z(f) be the second derivative of -2*f**3\/3 + 52*f. Calculate v(z(y)).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 2*g + 3 - 4 to the form m + r*g and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*o**2 - 2\/5 + 2\/5*o**3 - 2\/5*o.\nAnswer: 2*(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*x - 440 = -242 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8c1dc (base 14) to base 16.\nAnswer: -532a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 530*g - 14613 = 757 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -9*y**2 + y + 4. Let a(p) = 27*p**2 - 4*p - 13. What is 2*a(w) + 7*d(w)?\nAnswer: -9*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10833 - -10832.9. What is the closest to -1 in 181, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/6)\/x)\/(x**12*x)*((x\/(x\/x**9*x*x))\/x)\/(x\/((x\/((x**(10\/9)\/x)\/x))\/x)) assuming x is positive.\nAnswer: x**(-143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -2, 21\/296, -0.2, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 210*z - 17*z**2 + 57*z**2 - 13*z**2 - 25*z**2 - 74*z + 290*z.\nAnswer: 2*z**2 + 426*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 5*w**2 - 14*w - 3. Let v be u(3). Differentiate 34*a + 4 + 18 + 12*a + v with respect to a.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 9 = -4, m - 5*i = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -16*t. Let c(h) = 17*h. Let y = 10284 + -10288. Calculate y*z(m) - 5*c(m).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1414*n**5 - 2206*n**4 - 6*n**2 - 54328*n - 22?\nAnswer: -84840*n**2 - 52944*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 AM and 4:41 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.09  (b) 1\/3  (c) -67  (d) 0.02  (e) -144  (f) -2  (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35516930.\nAnswer: 2, 5, 523, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 257, -1, -4 in decreasing order.\nAnswer: 257, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*u = -39*u - 126*u - 2117 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10166 + 10193. Suppose 0*a = 3*a - 87. Do a and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -86 + 68. Let k = 16 + x. Which is the nearest to -1?  (a) 2\/5  (b) k  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 151, -0.5, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18414816 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 601 is divided by 560?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -5 + -7 + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 5*g - 4. Let q(l) = -l + 1. Let x(z) = -12*q(z) - 3*v(z). Let k be 3*(-6)\/72 + (-1220)\/(-16). Let r(o) = k*o + 77*o - 151*o. What is x(r(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 5*f + 1. Let t(a) = -5*a**2 + 47*a - 15. Let n be t(14). Let m = 333 + n. What is j(m)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 546 and 3722712.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6\/107 + 88\/2247. Put -0.2, -2, 3\/10, d in decreasing order.\nAnswer: 3\/10, d, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0856*-0.1.\nAnswer: -0.00856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 303*q - 4*q**2 + 13*q**2 - 289*q. Let h(i) = -6*i**2. Determine k(h(t)).\nAnswer: 324*t**4 - 84*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 212022 (base 3) in base 11?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of -n**6\/1200 + n**5\/200 - n**3\/15 - 4*n**2 - 57*n. Solve i(y) = 0 for y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -18*h + 22. Let k(d) = 10*d - 49. Let j be k(5). Let m be v(j). Which is the biggest value?  (a) -4\/31  (b) m  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2494143551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 685586 divided by 121.\nAnswer: 5666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -3*m**4 + 563*m**3\/7 - 4470*m**2\/7 + 9216*m\/7 - 4320\/7 = 0.\nAnswer: 2\/3, 15\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 + 14)*2\/(-3). Calculate the common denominator of ((-35)\/(-14))\/(2\/22) and 5\/24*(-99)\/g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*s - 3971 = 5668. Calculate the smallest common multiple of s and 85.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -234*f**4*v**3 + 34352*f**4*v**2 + 7*f**2*v**2 + f**2*v + f*v - 2*f + 41939*v**3 wrt f.\nAnswer: -5616*f*v**3 + 824448*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7769, 15547, 23337, 31145, 38977, 46839, 54737?\nAnswer: 62677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/10 of a meter in millimeters?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 649 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002752695625 rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 100159269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0036047529 to five dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-3))\/(1\/((-6)\/14)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 + 32 + 15 - 7)*(18 + 6 - 10 - 8*p) in the form b + j*p and give j.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {s: 10, a: 1, w: 1, f: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8152, 16312, 24472, 32632, 40792, 48952?\n\"Answer: 8160*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-24)*10)\/((-1)\/20). Suppose z + 2*y + 5 = 0, 0 = 24*z - 21*z - 4*y - n. Solve 5*m + 2*d - 30 = 0, z*m - 56 = -5*d - 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3336, 3283, 3234, 3189, 3148, 3111?\nAnswer: 3078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*o**3 - 7255*o**2 + 5 + 2*o**3 + 7265*o**2 + 3*o**4 - 5*o**5 wrt o?\nAnswer: -300*o**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -4*t + 12. Suppose 2*u - 3*r + 2 = 0, r + 1 + t = -5*u. Does 19 divide 134 - 14 - u*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 220 and 30250.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + v + 2*v)*(-4*v**2 + 0*v**2 + 6*v**2)*(22 + 14*v - 22)*(-5*v + 2*v + 2*v).\nAnswer: -56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of -11*p**5\/60 + p**4\/6 - p**3\/3 - p**2. Let h be t(2). Let q = -8 - h. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (0 + (5 - (9 + -3))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -234 - -b?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007435 rounded to four decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jeq when three letters picked without replacement from {k: 7, e: 2, i: 1, j: 1, q: 2, a: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 687686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 11*d + 14. Which is the nearest to -3\/2?  (a) -0.3  (b) 1.4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 + 9 = 2*a. List the prime factors of -5 - a - (-3 + 1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/11  (b) -0.5  (c) 14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 36305984147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 53645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z + 2. Let b be u(3). Let p(n) = -4*n - 1. Let q be p(b). Suppose 5*r = d - q - 13, 4*r = 5*d - 35. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqqp when four letters picked without replacement from {q: 7, p: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*w**5 - 8*w**2 - 141*w wrt w?\nAnswer: 360*w**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 + 2*a - 3. Let u = 1 + -5. Let g be h(u). Suppose 0 = 5*z + 4*v - 86, -v - v - 62 = -g*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -0.8. Let w = -3.8 - d. Let i = 3.00000004 + w. What is i rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*y - 7*y + 13. Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55*l**3 + 2*l**2 + 4*l + 11 wrt l?\nAnswer: -330*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -207 + 189.8. Let c = -17.1 - l. Sort -0.5, 0.08, c, -2 in decreasing order.\nAnswer: c, 0.08, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.547 and -4654?\nAnswer: -2545.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 460725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -q, -4*g - 5*q = -4939 + 4944 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + 2 + -4 + -5 + 5. Let f(b) = -b + 2. Let x be f(d). Let h be ((-4)\/18 + 16\/72)*x. Solve -1 = r - h*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44*p - 475 + 475 to t*p + d and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 2*w - 34 = 0, -38*d + 41*d - 4*w = -10 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 84 - 64. What is the highest common factor of g and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 11:20 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -71, -77, -83?\n\"Answer: -6*c - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113 + 138 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-325)\/(-25) + -7)\/(33\/2). Factor 0 + 18\/11*d**3 + 0*d + q*d**2 + 14\/11*d**4.\nAnswer: 2*d**2*(d + 1)*(7*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29098*a = 29142*a - 88 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -4*z**2 - 88*z + 92 = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1\/j)**(7\/3))**5\/((j**(-6)*j\/(j\/j**(-1\/2)))\/(j*j**(-2\/13)*j*j\/(j\/(j*j**(1\/4)))*j)) assuming j is positive.\nAnswer: j**(551\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*r + 20*r = 468. Suppose 19*q = 16*q + r. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.145 in -2\/1557, -0.5, 0.5, 3, -1?\nAnswer: -2\/1557","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/3, -22, -1, -5, -0.3, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1707535899 a multiple of 1128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*c**3 - 52*c**2 - 4*c + 52 = 0. Calculate c.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -58 >= -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t - 16. Determine g(13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/(-3))\/(2*(-1)\/(-12)). Which is the second biggest value?  (a) q  (b) -0.4  (c) 5  (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 51307 - 20148. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 183623 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + (-250)\/(-40))\/(3\/(-16))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15629, -0.1, 0.2, 2 in ascending order.\nAnswer: -15629, -0.1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*q**2 + 13*q**2 - 2*q**2.\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (64 - (-2 + 10)) + (70\/7)\/2 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = 5*a - 37, a - 6*a + w + 29 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 6296.\nAnswer: -3\/6296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**3 + 17*h**2 - 2*h + 4. Let t be l(-7). Suppose -5*n = -s - t - 2504, 3*n = 2*s + 2629. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23 + 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2 + 1 + sqrt(13) + 4.\nAnswer: sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7\/(-42) - (-47)\/(-6). Is -10 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -21*f**3 - 7*f**2 + 6*f - 6. Let c(t) = 44*t**3 + 14*t**2 - 13*t + 13. What is 6*c(o) + 13*q(o)?\nAnswer: -9*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(-7)*(-4)\/6. Which is the closest to 1?  (a) -1  (b) k  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 - (-1293)\/(0 + 3). Let x = a + -134. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*((-112)\/(-12))\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 9*r**2 - 2*r**2 + 12*r**2 + 4*r**2 to l*r**2 + h + a*r and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -175.44, 66, -4, -0.1, -3\/13 in increasing order.\nAnswer: -175.44, -4, -3\/13, -0.1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xmxms.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-64*p**2 - 2*p**2 - 13*p**2 - 17*p**2 - 88*p**2)*(3*p**2 - 6*p**2 + 0*p**2).\nAnswer: 552*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 247 and 417774793?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 2 + 3 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 154, -2\/305, 0.1?\nAnswer: -2\/305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -629.99254 - -630. Round p to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 11. Suppose 0 = 3*u - 5*p - 61, n*u - 2 = -5*p + 21. Calculate the lowest common multiple of 6 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -159*w - 492. Is y(-4) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 115 + -112. Let b be ((-6)\/(-75))\/(f - (-12)\/(-5)). Sort b, -3, 2.2 in decreasing order.\nAnswer: 2.2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 2*m - 147. Let x be 6\/14 - (-77)\/m. Which is the smallest value?  (a) 2\/19  (b) x  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*q**5 - 253*q**4 + 3233*q**3 - 12047*q**2 + 13870*q - 4800 = 0. Calculate q.\nAnswer: -96, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31 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 2018138*m**3*q**3 - 2*m**2*q**3 - 930621*m**2*q wrt m.\nAnswer: 12108828*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3*g**2. Let j(b) = 2*b**2 + 11*b - 16. Let s be j(-7). Let h(y) = -6*y + s*y + 15*y. Calculate o(h(f)).\nAnswer: -588*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**3 + 0*v**3 + v**3)*(-16*v**2 + 6*v**2 - 32*v**2 + (5 - 2 - 4)*(0*v**2 + 5*v**2 - 4*v**2)).\nAnswer: 86*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -8 - -2 - (-2 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -751, -780, -849, -976, -1179, -1476, -1885, -2424?\n\"Answer: -3*r**3 - 2*r**2 - 2*r - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 44562 (base 7) in base 11?\nAnswer: 8511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 2*a - 516 = -528, 2*n - 2*a = -3*a - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -54.4 - -8.4. Let y = d - -45.986. Let z = -0.014 - y. Which is smaller: -7\/3 or z?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.500225 and -1840.\nAnswer: -1841.500225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) + sqrt(162)*-2)\/((sqrt(441) - sqrt(441)*1) + sqrt(441)) + (0 + (sqrt(242) - (0 + sqrt(242))) - sqrt(242))**2 + -2)*4.\nAnswer: -12*sqrt(2)\/7 + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.01 + 8.69. Which is smaller: 2\/3 or r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1244 (base 7) to base 13\nAnswer: 2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0\/(-3))\/(3 + 0). Let s(t) = k*t + 6 + 1 - 2 + 17*t. What are the prime factors of s(4)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4 + 10*c**3 - 39*c**2 + 4*c + 52.\nAnswer: (c - 2)**2*(c + 1)*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -267 + 394. Let p = -135 + b. Let v(z) = z**2 + 2*z - 4. Let g(a) = -2*a**2 - 5*a + 11. What is p*v(j) - 3*g(j)?\nAnswer: -2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-3*(2*(sqrt(1584) + 5) + -1) + 1)**2)*-6.\nAnswer: -346188 - 22464*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3. Let i(q) = q**3 + 10*q**2 - 18*q + 11. Let g(x) = -2*d(x) + i(x). Let o be g(7). What is the highest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 5  (b) 2\/39  (c) -0.165  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 365 + -361. Suppose -2*u = v*x - 129 - 71, 3*u = 3*x + 318. Calculate the remainder when u is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c4d47 (base 14) in base 2?\nAnswer: 11110111001010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171581758.\nAnswer: 2, 449, 191071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -7*n**3 + 2*n**2 + 4. Let c(w) = -6*w**3 + 2*w**2 + 3. Let j(d) = -5*c(d) + 4*h(d). What are the prime factors of j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (3 - 9) - (-24 - (10 - 111)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 + -59 - (-66 - (-11 - -8))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3*t + 8. Let u be c(-6). Let q be 4\/u - 96\/(-15). Suppose -q*m = -5*m + 7. Is -8 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -478702 - 1530.\nAnswer: -480232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 13013*-0.047\nAnswer: -611.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20576, -20569, -20562, -20555?\nAnswer: -20548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10212 + 21011000121002?\nAnswer: 21011000110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 70  (b) -32  (c) -4  (d) -2  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -6*q**2 + 2*q + 2. Let y(h) be the first derivative of h**3\/3 - h**2\/2 + 3. Let j(g) = b(g) + 5*y(g). What is j(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 13*s + 2. Let w(t) = 2*t + t + 0*t - 2*t. Let u(h) = k(h) - 4*w(h). List the prime factors of u(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-26)\/(-130) + ((-14)\/(-21))\/(20\/(-6)). Factor 4\/7*q + 2\/7*q**2 - 40\/7*q**3 + m - 8*q**4.\nAnswer: -2*q*(2*q + 1)**2*(7*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.811 to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -33 by -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-5*sqrt(550)*1*6)\/(((sqrt(77)*1)\/sqrt(7) - sqrt(11)) + sqrt(11) - (2*sqrt(176) - sqrt(176))))**2.\nAnswer: 30000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -88*k - 94*k - 89*k - 95*k + 63*k + 302*k. Let y(c) = -8*c. Let s = -27 - -9. Determine s*t(g) + 2*y(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - -21.35702433.\nAnswer: 21.45702433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -4*(-3)\/(0 - -3) - (-2687 - -7) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 582368.999999 - 582368. Let o = -1 - -2. Let b = o - d. What is b rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.97 + 0.909. Let x = 0.039 - t. Let o = 5.9 - 0.9. Which is the biggest value?  (a) -1\/7  (b) 4  (c) x  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 6.8. Sort 3, -8\/3, m in descending order.\nAnswer: 3, m, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23224712 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -225, -2\/11, -100, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 178 - 136. Let i(l) = 122 - 37 - 45 - p - l. Give i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 797347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 5*i - 1. Let v be q(-23). Let w = -114 - v. Suppose 5*j + 7*d - 5*d = 484, 0 = -2*j + w*d + 202. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 8*i**2. Suppose 0 = 2*z - 4*z. Let m(u) = z*u + u + u. Determine a(m(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12\/5 + 0*q - 3\/5*q**3 + 9\/5*q**2.\nAnswer: -3*(q - 2)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 6 = 0, -3*m - 5*w = -m + 6. Let g(t) = 2*t + 32*t**m - 5*t + 2*t. Let h be g(-1). What is the highest common factor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -648 + 648 + 231*i to v + u*i and give u.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5872427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of a**5\/15 - a**4\/8 - a**3\/2 + a**2. Let d = -44 - -41. What is the units digit of v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 256539756?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.268885 to three dps.\nAnswer: -1.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (28\/8 + (-24)\/8)*6. Let k(j) = -4*j**3 + j**3 + 2*j + 2*j**3 + 3*j**2. Calculate k(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/2)\/(26\/(-52)). Are c and -7\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -124938*z**3 - 4*z**2 - 4*z + 499.\nAnswer: -749628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/4)\/v)**(-36))**(-22) assuming v is positive.\nAnswer: v**(-594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 10:07 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -311948 and 25.\nAnswer: -7798700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1409929 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 104324287 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of -9*p**6\/40 - 3141*p**5\/80 + 701*p**4\/16 - 117*p**3\/8 + 27*p - 46. Factor q(a).\nAnswer: -3*a*(a + 117)*(3*a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (27\/6 - -2)*2. Suppose -12 = -5*i + d. Find the third derivative of -2*v**3 + i*v**2 - 3*v**2 - 3*v**2 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1232 - ((-6)\/4)\/((-3)\/(-6)). Find the common denominator of (-8)\/(-76) + 3195\/x and -38\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 3*w + 6 = 0, 316*w = 315*w - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) 0.4  (c) 0  (d) 0.01  (e) 119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 + 39. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + 12*z**2 + 78*z + 68. Let r be v(27). Is r greater than or equal to -8761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 30*h**2 + 8278*h - 365. Determine k(-276).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000111 - -101001111000110011100?\nAnswer: 101001111000100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b*b*b*b\/b**3*b)\/b)\/b)**23)**(-47)*(b**(8\/3)\/(b**(-11)\/b*b*b*b))**(-10) assuming b is positive.\nAnswer: b**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**0\/d)**(-27)\/(d*d\/(d\/(d\/(((d**(-2\/5)\/d*d*d*d)\/d)\/d)*d))*d\/(d\/(d*d**1)*d)))**(-2\/71) assuming d is positive.\nAnswer: d**(-226\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/2 + (-152)\/(-24) + -5. Let r = -1.1 + 0.1. Let p = 2 + r. What is the nearest to p in -0.4, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2032032 (base 4) to base 10\nAnswer: 9102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -115*m**2 - 2553*m - 493487?\nAnswer: -230*m - 2553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4368953.9523 + -4369197. Let g = u - -0.0477. Let y = -242.9999901 - g. What is y rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -5*z**5 - 35*z**4\/2 - 35*z**3\/3 + 5*z**2 - 896. Let g(l) = 0. Calculate l.\nAnswer: -2, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.05, 5, 0.1441241, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1943*b - 3542*b = -39975 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 21361681*c. Let s(r) = 28*r. Calculate s(k(q)).\nAnswer: 598127068*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.00169 * 8.\nAnswer: -0.01352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1035 - 684. What is the greatest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-798)\/(-18144))\/(5\/70) and -53\/234?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2531.3 * -1.1\nAnswer: -2784.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 4*m**2 - 839*m. Let w(z) = -10*z**2 + 2098*z. What is -12*r(v) - 5*w(v)?\nAnswer: 2*v**2 - 422*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -14 + 6 + s + 8. Suppose 2*t + 2*t + 5*d = -25, 5*t - 10 = 2*d. Suppose t = 2*r + 3*r - 20. Give w(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 288\/1135 < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -194.2*2.2.\nAnswer: -427.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -4*r + 4 + 25, -4*r = -4*z - 68. Let u = -11 - z. Suppose 0 = u*m + 4*i - 54, 0*m + i + 91 = 5*m. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/7))**(-3\/20)\/(((x*x**(1\/10))\/x)\/x**(6\/7)) assuming x is positive.\nAnswer: x**(97\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -149, 2\/23, 4 in decreasing order.\nAnswer: 4, 2\/23, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11907 is divided by 742.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 2 = -4*j. Let n = -285\/7 - -41. Let y = -8\/21 + 22\/21. Which is the nearest to 1?  (a) y  (b) j  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -5796  (c) 2\/3  (d) 4  (e) 0.6  (f) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 128*j = -8*i - 6325 + 2226, 3*i = -3*j - 99 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) 0.18  (c) -2  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 98*n. Let t(q) = 32*q - 4097. What is t(j(p))?\nAnswer: 3136*p - 4097","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45\/(-75)*20\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 10)*(18 - 18 + 2*n**5).\nAnswer: -20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 2*f = 2, -4*n + 3*f = 7*f. Let r be (1\/n)\/(24\/(-176)). Let y(o) = -3*o - 31. Let h be y(-9). Is h not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + (-3 - (16 - 9)) + (10 - (-8 - -17)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 1086\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 50\/2943751 and 25\/7.\nAnswer: 20606257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -3*w**2. Suppose 0 = 3*d + 148 - 154. Let t(v) = -2*v + 7. Let l(p) = 1. Let s(k) = d*t(k) - 14*l(k). Determine s(n(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 89 + -69. Solve 10*u + c = 15*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1941 + 639 = -7*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 + -28. Suppose -v + 9 - 12 = 0, 2*j = -2*v. Solve 0*y = -w*k + y - 14, -6 = 3*k - j*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 6586, 9044, 11500, 13954, 16406, 18856?\n\"Answer: -r**2 + 2461*r + 4126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2896*f*h**2*y**2 + 685*f*h**2 - f*h*y**2 - 3*f*h - f*y - 2*h**2*y**2 - 2*h**2*y wrt y?\nAnswer: -5792*f*h**2 - 2*f*h - 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**3 - 2 + 6*h + 6*h**2 - 10*h + h**3. Let m be z(5). Let o be 0 + -1 - (m - 7). Let y(w) = -3*w + 1. What is y(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -3*u - 8. What is l(25)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*m**3 + 6*m**3 - 4*m**3 + 4*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -192975, -385951, -578927, -771903?\nAnswer: -964879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 5*f = 30, 2*k - 26 = -4*f + 4. Suppose -k*o + 120 = -2*o. What is the least common multiple of o and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7638 rounded to the nearest 100?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 391081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3455366 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -5*i**3 + 12*i**3 + 5 - 4*i + 3*i**2 + 0*i. What are the prime factors of x(2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3921 is divided by 215.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-4)\/7*(-7)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + 2*o + 0*o)*(-1 - 4 + 0) - 3 + 3 + 9*o + (-3 + 3 - 2*o)*(1 + 3 + 0).\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/3 and ((-3)\/(-21))\/(6\/114*3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f. Let j be x(3). Let d be (-33)\/2*j\/(-9). Let y = d + 21. What is the greatest common factor of y and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 7*r + 22. Let i be m(10). Let z be i\/6*(4 - 10). What is the units digit of z + -1 - (-2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 10*h**2 - 3. Let p(t) = -12*t**2 - 4*t - 20*t**2 + 13 + 4*t - 8*t**2. Calculate -6*p(x) - 26*q(x).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of 1\/3*s**3 + 0*s - 1\/120*s**5 + 0*s**2 - 5 + 5\/24*s**4. Let o(r) be the third derivative of w(r). Give o(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + ((-33)\/(-6) - -3) - 9.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4677583?\nAnswer: 43, 181, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -8, t + 3*o - 6100006 = -0*o. Round t to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3046 is divided by 441?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 7*y - 4. What is the units digit of j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*c + 2*k, -5*c + 5*k - 2 = k. Let l = 13 + 5. What is the remainder when l is divided by (1 + c)\/1 + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0324192 to four decimal places.\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 401, 14529, 38075, 71039, 113421, 165221?\nAnswer: 226439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 4\/5, 61, -5?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 859272*p**3*t**2 + 5*p**3*t - 4*t + 632 wrt t.\nAnswer: 1718544*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 3*v + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*3\/18)\/((-95)\/(-114)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.4 + -1. Let i = -22 - -32. Let n = 5 - i. Which is the nearest to -0.1?  (a) 4  (b) f  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 593 + -589. Let o(v) = 152*v - 114. Is 20 a factor of o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of q**5\/60 - q**2 + 37*q. Let u(p) = -p**2. Let r(j) = 4*j**2. Let k(t) = 2*r(t) + 10*u(t). Determine k(h(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 65 = 3*d - 54, z = -4*d + 34. Suppose -y = 100 - 186. What is the remainder when y is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -4*p + 11. Give a(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2904222053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y**2 + 42*y + 12. Give s(-11).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 1.15631.\nAnswer: -3.46893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) 42\/25  (b) -4  (c) -0.4  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*d + 36*d + 59 + 92 - 146 as y + x*d and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -88547 and -1505.\nAnswer: -90052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -98 + 95. Let m be -1*2*5\/(-2). What is the second biggest value in 0.3, q, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1389 a factor of 71573781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*w + 10 + 254 = 48*w. Let p(m) = m**2 - 2*m. Determine p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*p + 34. Let k(i) = -2*i**3 + 13*i**2 - 6*i - 9. Let b(u) = 3*u**3 - 14*u**2 + 6*u + 8. Let y(r) = 3*b(r) + 4*k(r). Is 13 a factor of y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -3*r - 6. Suppose -2*d + 10*k - 5*k = -15, 0 = d + 3*k + 20. Let a(g) = 6*g - 19*g - 1 + 6*g + 5*g - 4. Determine d*a(o) + 4*i(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -103 - 1043*d - 89*d**2 + 103 + 1243*d as i*d**2 + r*d + l and give i.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 11*w + 14 = 0. Suppose -w*v + 116 = 81. Solve -q + 5*o + 0 + 9 = 0, v*o = 2*q - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*b + 11368 = 2*w, 3 = w. Let i = 34217\/6 - b. Calculate the common denominator of i and 38\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4457 divided by 15778?\nAnswer: 4457\/15778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -12125 (base 6) to base 16\nAnswer: -6f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) 0.2  (c) -0.2  (d) -124059\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 53*a**2 - 3*a - 4. Calculate n(-4).\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.05 and 7670771.\nAnswer: -383538.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.4 - 2. Let g = 1 - 1. Put u, g, 0.5 in ascending order.\nAnswer: g, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - -1. Suppose 5*k - 20 = 0, 0*i - 51 = i - 4*k. Let g = 0.070691 - -0.229309. Which is the third smallest value?  (a) -1\/10  (b) p  (c) g  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 54\/243 - (-3232)\/36. Solve -o - 66 = -39*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*k - k - 3*k)*(4 + 0 - 1) - 2*k - 4 + 4)*(0 + 1 + 0 + (-1 - 3 + 5)*(0 + 0 + 1)).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b**5 + 488*b**4 - 2772*b**3 - 1472*b**2 + 9328*b - 5568 = 0. What is b?\nAnswer: -2, 1, 6, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 10*z**2 + 31*z + 3. What is the hundreds digit of p(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 - (0 - (-13 - 5)) - -5) + 66.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4 - -16)*((-408)\/10)\/(-3). Let x = b + -38. Is 78 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + d - 1972 = 626, 12 = 2*d. Calculate the smallest common multiple of 44 and g.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 503 + 489 = 2*x, 4*a + 5 = 8*x - 4 + 33 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2731 or -7.279?\nAnswer: -7.279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 917121.3kg?\nAnswer: 917.1213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n\/n**(-2\/11)*n*(n**(4\/3)\/n)\/n*(n*n**(1\/4))**(-3\/8)*((n\/(n**0*n))**(23\/2))**25 assuming n is positive.\nAnswer: n**(2161\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 5*l = 3*l - 12, -12 = -2*w + 4*l. What is the lowest common multiple of 16 and (20\/2 - 0) + w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.46 + 1.34. Let j = 2.2 - g. What is the third smallest value in -1\/9, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*t = 0. Suppose -v + t*q = -4*q + 33, -3*q + 2 = v. Let m = v - -34. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 22160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.093  (b) 2  (c) -2  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*x + 5*l + 7, -4*x - 4*l = -20. Sort -1, -4, x, -3.\nAnswer: -4, -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -7*s + 24. Suppose -y = 2*r - 1390 - 737, 4252 = 4*r + s*y. Suppose -4211 = -5*o + r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = o + 54392, 876 + 53516 = -o - 3*f. What is the hundreds digit of o\/(-52) + 18\/(6\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*l**3 - 37*l + 76*l - 39*l.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.14363 - 3728538?\nAnswer: -3728531.85637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 4*a**2 + a - 64. Determine u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1269413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*w - 321 = 0, -4*q + 8*q + 5*w = -1277. What is the remainder when q\/(-2) - (0 + (6 - 1)) is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227716.1mm in micrometers?\nAnswer: 227716100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4*-2*sqrt(288))**2 - sqrt(288)) + (1*sqrt(288) + 4 + sqrt(288))**2)*5 + -4.\nAnswer: 900*sqrt(2) + 97996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1451625 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2\/3577 - 239679\/35770. Let g = 108 + -84. Find the common denominator of p and -5 - (-5 - 51\/g).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.008823121 to six decimal places.\nAnswer: -0.008823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1871 - 1872. Put 1, i, 9 in descending order.\nAnswer: 9, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11824 - 2562 + 624 + 364 - 770)*(-2*o + 2*o + 2*o)*(-6 + 5 - 7).\nAnswer: 226688*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2822 + -2702. What is the highest common factor of 510 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-13)\/((-3 - -1)\/(-2)). Let p = -12 - c. Sort p, -4, -2.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 + 6*a + 11. Let f(b) = -7*b + 9. Let n be f(0). Calculate o(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/121733900 and -58\/1374415.\nAnswer: 852137300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g**3 + 1261*g**2 - 16456*g - 859. Give j(-433).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (3*(sqrt(800) + 0 + -2 + 2*sqrt(450)\/(sqrt(63)\/sqrt(7))))**2.\nAnswer: -1080*sqrt(2) + 16236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25216 is divided by 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, 0.54, -1\/10 in increasing order.\nAnswer: -4, -1\/10, 0, 0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - 6*l + 3. Suppose -2*g + 0 = -5*a + 7, 0 = 3*g - 4*a. Let j(t) = 2*t**2 - 3*t**2 - g*t - 2*t - t + 4. Give -5*j(r) + 6*v(r).\nAnswer: -r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 172*y. Let p(r) = -23*r + 9. Let k(j) = 5*j - 2. Let v(h) = 18*k(h) + 4*p(h). Calculate v(i(g)).\nAnswer: -344*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2021 + 10?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g = -3*g + 56. Find the first derivative of c**g - 12*c**4 + 4*c**4 - 50*c**4 + 53 wrt c.\nAnswer: -228*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/20)*x)\/x)**(1\/27) assuming x is positive.\nAnswer: x**(1\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55 and 106239496?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -621*m - 3324 = -513*m + 1165*m - 36422 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3624432 and -2.\nAnswer: 7248864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 2 v when four letters picked without replacement from ivuvuuuiuv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -29641 + 29643. Solve 5*a - j*f - 28 + 0 = 0, 5*a = 5*f + 40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 + 2*w**2 - 6*w - 4. Let y be u(-4). Let d = y - -14. Find the third derivative of -5*k + 5*k + d*k**4 + k**2 wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10997 or 11245?\nAnswer: 10997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -502543570 - -9.72?\nAnswer: -502543560.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**5 + 9*o**4 - 48*o**3 + 36*o**2.\nAnswer: 3*o**2*(o - 2)*(o - 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a - 3. Let o(u) = -10 - 6*u + 26 - 8. Determine -11*c(b) - 4*o(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 902634, 1805658, 2708682, 3611706, 4514730, 5417754?\nAnswer: 6320778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1950 and 2275?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-8)*n)\/((n\/(n\/n**2))\/n)*n*n*n**(-2\/13)*(n**(-1\/8)\/n)\/n*(n**2)**(-8\/7)*n**9\/(n\/(n\/(n*n**(4\/3)\/n*n))) assuming n is positive.\nAnswer: n**(-8513\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 - (-3)\/9*-3. Suppose -4 = 2*d, 3*c + d + 3*d + v = 0. Factor 4*p + 18*p**c - 2*p + 2*p.\nAnswer: 2*p*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 3\/32, 4\/5, -4?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 + 7*x - 10. Determine b(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2038.398 rounded to the nearest integer?\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -40898 divided by -13\nAnswer: 3146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -l - 79 + 3, -24*l + 1521*f - 168 = 1517*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 - -330?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 greater than -3\/44384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -28, -3, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1147*v + 4 = 1146*v + 3*x, 0 = 2*v - 4*x + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*v**3 + 20964*v + 4903 wrt v.\nAnswer: 6*v**2 + 20964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113809104?\nAnswer: 2, 3, 463, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (168\/(-12))\/(-7)*384\/(-18)*(-48)\/32?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h**2 + 51*h + 125. Does 5 divide d(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -55, -164, -323, -532, -791, -1100?\n\"Answer: -25*x**2 - 34*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*i - 504 = 18*i + 8*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.03?  (a) -12  (b) -3  (c) -0.96  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 4*j**3 - 5 + 0 - 3 + 90*j**2 + 1 as m*j + k*j**3 + r + z*j**2 and give z.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3269401888.\nAnswer: 2, 102168809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 + ((-55879)\/(-95) - 1\/5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111032 - -11?\nAnswer: 111103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/150001 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/14 - (-108)\/63) + 12. Suppose 0 = 15*m - p*m - 213. List the prime factors of m.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.125 in 548, -12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g**2 - 2*g. Let j be s(-1). Suppose 0 = j*d - 174 + 24. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y + 13. Let c(o) = -o**3 - 10*o**2 + 13*o + 14. Let u be c(-11). Let v be j(u). Suppose -b + 3*n = -24, -n - v = -0*n. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.449 + -0.049. What is the smallest value in 0.2, w, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (403*t + 0 - 380*t - 2)*(3*t**3 + 41 - 41)*(-1 + t + 1).\nAnswer: 69*t**5 - 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12110 + 2?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 32*q - 304. Solve -4*k + 9*s - q = 7*s, 0 = 4*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 9*h + 1. Let y(w) = 9*w**2 + w - 1. Let s(i) = -5*i**2 + 1. Let r(x) = 7*s(x) + 4*y(x). Let f be r(-4). Suppose q - 2 = -f. Determine o(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -3*g - 6. Let h be 1\/(36\/(-20) + 2). Suppose 25 - 75 = h*l. Let i be b(l). Solve 0 = 4*z + 4*x - i, -2*x - 4 = z - 6*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + 1230?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -12*n + 2. Let q be i(-3). Calculate the common denominator of q\/(-30) + (-2)\/5 and (-3)\/6 + (-34)\/20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 29  (c) -7  (d) -3\/2  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3.7689 and -12.274.\nAnswer: -8.5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -15ac (base 13) in base 12?\nAnswer: -1a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - i + 2*i + 10, -i = -5*c + 13. Solve 10 = 2*x - c*x + 3*d, -10 = -x - 2*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q - 8. Suppose 3*j + 7 = -2. Let p(x) = -x**2. Let n be p(j). Calculate the remainder when 2 is divided by l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 6:18 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 2*k**5 + 486*k**3 - 4*k**4 + 64*k**2 - 6*k**5 - 192 - 13*k - 438*k**3 - 107*k - 8*k = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27478824019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 46383 and 447616873.\nAnswer: 447663256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-465)\/(-35) + (-2)\/7. Suppose 4*n - 5*s + 12 = -q, -2*n - 5*s - 5 = 0. Put 5, -3, n in descending order.\nAnswer: 5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 579 + -815. Let a = i + 243. Solve a*l = l - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7306513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 + -8.98. Let n = f - 0.02. Let j = 0 - n. Is 1 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 540828910 to the power of 1\/2, to the nearest integer?\nAnswer: 23256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z**2 - 116. Let u(p) = 3*p**2 - 234028 + 234028 + 2*p**2. Calculate u(m(i)).\nAnswer: 20*i**4 - 2320*i**2 + 67280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - 89*o**2 + 97*o + 529. What is s(-90)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 2*p)*(-2*p - 2*p - 3*p) + (0*p - 3*p + 2*p)*(2*p - 2*p - 2*p) in the form k*p**2 + n*p + l and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in thirty-three fifths of a millennium?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 + 44 = 9*w. Suppose -k + w = 2. Suppose 4*i = -o + 256, k*o + o = 2*i + 226. Is o a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1692821144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*i - 2*i**4 + 0*i)*((-1 + 2 + 0)*(1 + 1 - 1) + 70 - 69 - 102) to z*i**2 + n*i**4 + v*i + h + l*i**3 and give n.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -75, -3, -2, -1, -15 in descending order.\nAnswer: -1, -2, -3, -15, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003141823605 to six decimal places.\nAnswer: 0.000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 626672384?\nAnswer: 2, 13, 188303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -354205625 divided by 382925.\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-19)*f**(2\/41))\/(f*(f\/f**(3\/17))\/f*f\/(f\/f**(-3\/5))) assuming f is positive.\nAnswer: f**(-66824\/3485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14 + 41?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3017674112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -14192.8 and -5?\nAnswer: 70964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -327 or -323?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1598 + -238?\nAnswer: -1825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 138959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 s, 1 z, and 1 a when four letters picked without replacement from lolllszllxzall?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 30*k**3 + 60*k**2 - 240*k + 25. Let m(h) = -5*h**3 - 10*h**2 + 40*h - 4. Let w(z) = -4*a(z) - 25*m(z). What is c in w(c) = 0?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 185054 and 353894?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1347137965?\nAnswer: 5, 269427593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28.51 - 31.5. Let v = 0.01 - a. What is the third biggest value in -3, v, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*n - 12*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 134*n*y**2 + 92*n*y + n + 2*y**2 - y wrt y.\nAnswer: 268*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -441018 and -3.4?\nAnswer: 441014.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -8*o**2 - 9*o - 1. Let w(s) = 12*s**2 + 14*s + 2. Let x(d) = -8*p(d) - 5*w(d). Let m(j) = 9*j**2 + 5*j - 4. Let y = 0 + 3. Give y*m(k) - 7*x(k).\nAnswer: -k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -65*z**3 - 250*z**2 + 40*z.\nAnswer: -5*z*(z + 4)*(13*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 340035691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 84 - 81. Put -2, 5, u, 7 in ascending order.\nAnswer: -2, u, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -4, -14, -1, 4 in increasing order.\nAnswer: -14, -4, -1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1684328 divided by -2?\nAnswer: 842164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 2*k + 10 = 2, 9*w = 4*k - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, v: 1, g: 1, b: 1}. Give prob of picking 1 r and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**2 - 1515*l - 3018.\nAnswer: -3*(l + 2)*(l + 503)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/15)\/((-16)\/240).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -148*x**2 - 272*x - 9. Let f(z) = -148*z**2 - 278*z - 2. Let c(d) = -3*f(d) + 2*g(d). Determine o, given that c(o) = 0.\nAnswer: -2, 3\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/23)*t**(-20))\/(t*t**5*t)**1)**19 assuming t is positive.\nAnswer: t**(-11761\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add -356.01 and -606286223.\nAnswer: -606286579.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 9828\/188269 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 313 + -312.5. What is the nearest to -97 in -4, d, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 146 divide 10665738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 75\/2769289 or 1?\nAnswer: 75\/2769289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3213590, -6 in increasing order.\nAnswer: -6, 2, 3213590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 5*s = 3*j - 29, -3*j + 17 = 2*s. Put -3, j, 1 in decreasing order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 12*f - 2. Let g be x(11). Suppose 0 = o - g - 12. Suppose 0 = -2*u + 151 - o. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -1, 241, 2 in descending order.\nAnswer: 241, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + f = -5*v - 5, -5*f + 31 = -2*v. Let q(u) = 2*u**2 - 6*u + 6. Let o be q(4). Solve -2*w = f*j - w - 8, -4*w = 2*j - o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 + 3*j - 9. What is the remainder when r(6) is divided by (-1 + (-8)\/(-5))\/(2\/(50 - -10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/6)*r*r)**(-12\/11)\/((r\/r**(-2))\/(r**(3\/4)\/r)))**44 assuming r is positive.\nAnswer: r**(-247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24.5 + -24. What is the nearest to -1\/4 in 0.041, 3, w?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9, l: 9}. Give prob of picking 1 p and 3 l.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -629 + 661. Suppose -i*p - 5504000 = -40*p. Round p to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -458, -446, -428, -404?\n\"Answer: 3*k**2 + 3*k - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 39*d + 1. Let l be t(1). Calculate the greatest common divisor of l and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 + 2*f + 50*f**3 - 10 + 7 + 2. Is 10 a factor of p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-1420)\/2700)\/((-3)\/9) and -11\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000000512307 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/(-16)*4)\/(6\/(-10)). Let z(w) = -65*w + 89. Does 69 divide z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-227*j**2 + 66*j**2 - 186*j**2)*(-22*j + 7*j + 15*j - 40*j**2 - 29*j**2) to v*j + x + o*j**2 + f*j**3 + l*j**4 and give l.\nAnswer: 23943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x - 4. Suppose 3 = 18*r - 15*r. Calculate the smallest common multiple of g(-6) and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-6) - 14\/(-4). Suppose -n = h*n. Let d = n - -1. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*r**3 - 16*r**3 + 8*r**3 + 1061*r**2 + 442*r**2 + 4*r**3.\nAnswer: r**3 + 1503*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, n: 1, l: 4, v: 2}. What is prob of picking 1 i and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - c = -12, 3 = 2*a - c - 1. Let j = -5 + a. What is the remainder when 22 is divided by (j\/(-2))\/(1\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1*(sqrt(143) - (sqrt(143)*-1 - sqrt(143))))\/sqrt(11)*2 + -5)**2.\nAnswer: -360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i - 9*i = 3, 0 = l - 4*i - 1687. Suppose 703 = 42*f - l. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34740 is divided by 184.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.031247105 rounded to 4 decimal places?\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -5*c + 51. Let b(v) = -3*v - 11*v - 9*v + c*v. Let f(p) = -3*p + 3*p - 4*p**2. Give b(f(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 6*v**2 - 56*v - 50. Determine o(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*n - 27. Let x = -7 - n. Suppose 5*d = -4*d + 18. Solve 4*m = d*m + 5*o - 29, x*m + 16 = 2*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 53086?\nAnswer: -106172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of x**3\/3 - 3*x**2 + 15*x - 1. Let c = -2730 - -2735. Let o be z(c). Solve -4*w + 3*y = -o, -w + 3*y = 1 + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 14*v**2 - 15*v - 7. What is w(15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**2 + 5*q + 13. Let f be p(-4). Suppose 5*t + v = 69 + 76, -5*v + f = 0. What is the lowest common multiple of t and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5132678342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3016819011.\nAnswer: 3, 83, 12115739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 5*j + 3, 3*b - 2*b + 2*j = 6. Let g(o) = o + 1. Let q be g(-1). Suppose -w = q, d - 3*w + w - 20 = 0. What is the least common multiple of b and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) 0.18  (b) -0.3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 560 + -559.94. What is the third biggest value in l, 1\/4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + 50323?\nAnswer: 50320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*v**3 + 87*v**3 - 176*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5.5 in 0.03, 0.2, -71, 47?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -332, -1, -3, 93, -19, -8 in descending order.\nAnswer: 93, -1, -3, -4, -8, -19, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 223*b + 6686. Determine r(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 930 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: Suppose -80 = -o + 96. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 103013 + -100?\nAnswer: 102413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4\/9 + 14*l**3\/9 - 20*l**2\/9 - 32*l\/9.\nAnswer: 2*l*(l - 2)*(l + 1)*(l + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lqjj when four letters picked without replacement from jllljljq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 3070 divide 147980492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of -y**4\/18 - 2*y**3\/27 + 2*y**2\/9 + 78. Factor m(z).\nAnswer: -2*z*(z - 1)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.457 + -0.043. Which is the nearest to 1\/2?  (a) -4  (b) 6  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(200)*-2 + 3 + (0 + sqrt(200) - sqrt(200)) + -5)**2.\nAnswer: 400*sqrt(2) + 4020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1001834664?\nAnswer: 2, 3, 41743111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 882025397 to the nearest integer?\nAnswer: 29699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, -300, -2, -15, -0.054?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 4*j + 0*j)*(2*j**2 - 4*j**2 + 7*j**2 + j).\nAnswer: -10*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 608 and 382328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -4*z + 16, 20*n = 23*n - 47*z + 48*z + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2190533343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 83558 = -4*h - 689771, -l + 257788 = h. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (-2 + (3 - (10 - 9))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*j = 42*j + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -50 - -84. Let h = 32 - d. What is the smallest value in 16, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of 5*a**6\/2 - a**2 + 146*a - 89. What is the second derivative of t(f) wrt f?\nAnswer: 300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -13f + -15f5?\nAnswer: -1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 44882 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 85291 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 + 4. Suppose -3*h + 15 = -0*h - 4*d, 5*d = 2*h - 3. Put -2, h, 4, a in ascending order.\nAnswer: a, -2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -3*g**2 + 3*g - 3. Let d(v) = 7*v**2 - 7*v + 7. Suppose 2*w = 2*z - 24, 2*w - w + z = -8. Calculate w*b(r) - 4*d(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 115\/(-46)*18\/(-75)*-4.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2082 + -2082.05. Let u = 0 - 0.15. Let c = x + u. What is the second smallest value in -4, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - p + 106, -54 - 17 = 2*w - p. Let u = w + 55. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-90)\/351)\/((-6)\/1008*-7) + 6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/90*-3*-2*(-25)\/20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160389394.\nAnswer: 2, 11, 919, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1060, 1070, 1086, 1108, 1136?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 552 is divided by 105.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*d = -2. Suppose -p - 18 = d*p. Let h = 2 - p. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1438786 is divided by 65399.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 4 + 3)*(4*r - 4*r + 3*r)*(6*r + 4*r**2 - 5*r + 3*r**2) to f*r + k*r**3 + z + d*r**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19625717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28.94 + 20.74. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/2 + 218229*l\/2 - 1745960.\nAnswer: (l - 16)*(l + 218245)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 5) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 40968860698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b - 29. What is g(18)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 3*w - w)*(13 + 12 - 8).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -3*d**3 + d**2 - d - 1. Let g be m(-1). Suppose g*n = 11 + 33. Calculate the greatest common factor of 22 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14646903?\nAnswer: 3, 97, 50333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/3240?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*m + 9*m + 4*m + (-5 + 5 - 2*m)*(2 - 2 - 2) - 1 + m + 1.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6351 + 6351.14006. Let u = -0.14 + i. What is u rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 4*x = 7*x - 28 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -10*z. Suppose -5*n = -2*b - z*n, -b - n = 7. Let f be (-2)\/(-3)*(-1)\/2. What is the closest to 1 in f, b, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-735)\/(-90))\/((-315)\/(-90))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7.265331ms?\nAnswer: 7265.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0049092558 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 9 = 5*p. Suppose -p*j + 6*j = 20. What is the units digit of 92\/j + 2\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-1))**(-1\/11)\/(q*q\/(((q\/(q\/((q*q**1)\/q)))\/q)\/q)*q*q*q**(-1))*q**(1\/3)\/q*(q**5*q)\/q*(q**0*q)**24 assuming q is positive.\nAnswer: q**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssszssssszkssks. What is prob of sequence ksz?\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 80*x**3 + 2*x**2 - x + 4. Is y(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 - (-1 + -5 - 32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 9 = -4*r - 19, 5*r + 41 = y. Let g(h) = -120*h**2 - 5*h + 240*h**2 + h**3 + 22 - 105*h**2. Is g(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 76 + 17. Suppose 3*q - 48 - t = 0. What are the prime factors of q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13.8 + -0.1. Let x = w + -13.69999831. What is x rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1563 - -1561. Let g be 1\/(-4) - (0 + 2). Which is smaller: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 17 = -3*q - r, -q + r = -7. Suppose q*o + 0*o = 140. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, u: 1}. Give prob of picking 3 u and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28360 is divided by 13561.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2150*t**3 - 1221*t wrt t?\nAnswer: 12900*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-528)\/8 - -16)*(-1)\/20\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 - -29. Let c = o - 13. What are the prime factors of (1 - c)*(-372)\/(-24)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51615 (base 7) to base 9.\nAnswer: 18320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((2 + sqrt(1872))*2 + 5 + -6*sqrt(1872)*-2*-1)**2.\nAnswer: -2160*sqrt(13) + 187282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -0.04  (b) 0.006  (c) 0.03  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of 31\/2*c**2 + 22\/3*c**3 - 34 + 0*c. What is the second derivative of q(b) wrt b?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/4, 154, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2622 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3799, -3751, -3691, -3613, -3511?\nAnswer: -3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.04658  (b) 0.13  (c) 3\/212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1689257237 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of 7*a**5\/5 + 32*a**3\/3 + 4. Find the third derivative of m(x) wrt x.\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*p**3 + 12*p**3 - 7*p**3 + 2*p + 15*p**3 - 68*p**3 + 13*p**3.\nAnswer: -22*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-192)\/(-680) + (-4)\/10. Let x(q) = q**3 - 6*q**2 - 4*q - 1. Let g be x(7). Let a be (50\/g)\/((-1)\/2). What is the closest to 2 in -2, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -37b40 + 2?\nAnswer: -37b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30 + 34. Let n(a) = a**3 - 6*a**2 + 4*a - 8. Let d be n(p). Does 10 divide ((1 - 0) + (-150)\/d)*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23561 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 3*z - 25 = 0, 380*l - z = 378*l - 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-4) - (-6)\/(-40). Let q = 487.6 - 16.6. Let l = q + -467. What is the closest to 1 in l, 3\/5, t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/5, 2\/23, 22, 4, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 19101546779860?\nAnswer: -19101546779862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of 25\/6*l**3 + 0*l**2 + 1 + 27*l. Let x(n) = -6*n**2 + 3*n**2 + 4*n**2. Calculate v(x(d)).\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 2*z - 795 + 191, -1226 = -4*z + 2*w. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 3*p = 3, 4*r - 2*p + 2 = 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 + 27. Let s = o - -3. Suppose 0 = -w + 17 + 11. What is the least common multiple of s and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13285 - 13274. What is the smallest value in y, 66, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 59081.\nAnswer: -4\/59081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1296 by -12.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + (3\/9)\/(-1) + 90\/108. Suppose -u*q**3 + 9\/2 + 11\/2*q**2 - 19\/2*q = 0. What is q?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {f: 2, r: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.25546t in micrograms?\nAnswer: 57255460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -2\/5, -1\/6, -2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -250068059*n + 15*n**2 + 250068059*n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4276*s + 3764 - 3764 to k*s + g and give k.\nAnswer: -4276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19.6 - -19. Let z = n + 0.59999997. What is z rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n. Let m(p) = -274*p - 19. Let r(v) = -67*v - 5. Let t(o) = 6*m(o) - 25*r(o). Determine l(t(u)).\nAnswer: 31*u + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, e: 3, n: 1}. What is prob of picking 2 m and 2 e?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**2 + 748*q**3 + 43*q**3 - q**2 - 799*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9091.527 millennia in decades?\nAnswer: 909152.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 5*y**2 - y - 3. What is o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 12) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 2*w + 96, w - 123 = -5*h - 0*w. Solve h = 2*u + 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 1\/11, -10, -1\/3, 3\/7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)*-4)**2 + 1 + sqrt(63).\nAnswer: 3*sqrt(7) + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 116419 and 37?\nAnswer: 4307503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(2\/4) + 10. Suppose -3*h + 3 = -v. Solve -u - h = -0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(320) + -1 + (5 + (sqrt(320) - 2*sqrt(320)) - sqrt(320)) + (-3*(sqrt(320) + 1) + 2*(sqrt(320) + -1*sqrt(320)))*-4)**2.\nAnswer: 3072*sqrt(5) + 46336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 27 - 25. Suppose -8 = -0*x - 4*x. Do x and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189)\/sqrt(9))\/sqrt(7) - sqrt(24)\/sqrt(8)*3.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1497245 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i**3 + 71*i**2\/2 - 67*i\/2 + 3 = 0. Calculate i.\nAnswer: 1\/10, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 2:55 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-11124)\/(-51) - 12\/102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26*f**2*n*v - 30*f**2*n - 1274*f**2*v - 4*f**2 - 13*f*n*v + 3*f*n - 13*f - 33*n*v + 4*n - 2*v + 4 wrt f.\nAnswer: -52*n*v - 60*n - 2548*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008477 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*k + 2*r - 11 = 83*k - 39*k, -7*r = k + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x + 1324 = 1366 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-1 + -1 + sqrt(242) + -4 + sqrt(242) + (5 + 0 + sqrt(242) - sqrt(242)) + 1)*-5)**2.\nAnswer: 871200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149 + 122 - 27*g + 31.\nAnswer: -27*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*14\/(-245)*((-2320)\/24)\/(8\/6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/285265 or 2\/3?\nAnswer: -6\/285265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (408\/612)\/(0 + 4\/54). Solve r*v = 6*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.044665679 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -734*k - 88049. What is o(-120)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -29 by -24.\nAnswer: 29\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from csz. Give prob of picking 1 s and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in thirteen fifths of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000324213553 rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/2))**21)**(1\/15) assuming l is positive.\nAnswer: l**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d**2 + 6*d - 9. Let n be q(2). Suppose -m = -0*s + s - 13, m + 3*s - n = 0. Solve -4 = -6*j + m*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 101 - -15. Suppose 8*s = 10*s + u. Let a = s + 113. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 241.7732 kilometers?\nAnswer: 241773200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -4*n**2 + 113*n - 2. Let a(u) = 3*u**2 - 142*u + 2. What is -3*a(j) - 4*p(j)?\nAnswer: 7*j**2 - 26*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - -157. Sort -1\/5, -1\/6, s.\nAnswer: -1\/5, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of g**5\/120 - 13*g**4\/12 - 9*g**3 - 2*g - 174. Let w(r) be the third derivative of k(r). Give w(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 11, 5, -7.\nAnswer: -7, -4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9620*f - 9621*f + 27679*f - 8440*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 36*(24\/(-9) - (-12)\/4). Suppose 5*b + 83 = 4*m, 94 = 4*m - 4*b + 14. Suppose -n*p = -m*p. Solve u = -5*j + 4*u - 6, 5*j - 5*u = p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 34*c + 11*c**2 - 879*c**3 - 866*c**3 + 1747*c**3 + (-3*c**2 + 0*c**2 - 6*c**2)*(c - 2*c + 2*c).\nAnswer: -7*c**3 + 11*c**2 + 34*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 322*u**2 + 70*u - 35. Let r(a) = -19*a**2 - 4*a + 2. Let t(q) = -2*m(q) - 35*r(q). Let g(p) = -2*p. Give t(g(i)).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -20, -0.1, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*m**6 - m**5 - 30265*m**3 + 76488*m**2?\nAnswer: 240*m**3 - 60*m**2 - 181590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 60*l + 3*l**3 - 32*l - 3*l**4 + 4*l**4 to the form r*l + q*l**2 + n + m*l**3 + b*l**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 346 divide 174898848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2536911 and 130098?\nAnswer: 5073822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.9429 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*z + 28*z + 2145 = 29*z + 23*z for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/2 + 2*o**3 + 7*o**2\/2 - 5*o.\nAnswer: -o*(o - 5)*(o - 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -53*l**2 - 107*l - 1. Give v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + 23*j**2 - 205*j - 34. Let s be t(7). Factor 0*h**2 + 1\/6*h**3 - 7\/6*h + s.\nAnswer: (h - 2)*(h - 1)*(h + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.7  (b) -2\/5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1681 divide 303365027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2446 and 37698?\nAnswer: 46104654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 3*o. Let d = 11 + -7. Let a be y(d). Sort 0, 4, a in decreasing order.\nAnswer: 4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -342 - 231*d + 342.\nAnswer: -231*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3086*x - 695*x - 93249 = 0 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 10*r - 8*r + 1187 = 1269, -5*y + r + r = 142 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(12))\/sqrt(6))**2*-5.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/9)\/(2\/4). Let j be ((-25700)\/(-3084))\/((-435)\/(-18)). Which is the second biggest value?  (a) j  (b) -1\/3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c*n - 7938*c + 4*n + 9290 with respect to c.\nAnswer: n - 7938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4968 and 24.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1095 + 12037\/11. What is the second smallest value in 4, q, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-25))**17)**18)**(-48) assuming o is positive.\nAnswer: o**367200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 256 + -134. What are the prime factors of r?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from ehhmjzm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8833770 divided by -55\nAnswer: -160614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-5532)\/(-24))\/(6\/24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1035159 and 623.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 288 a factor of 620640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 PM and 10:38 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14744, 28812, 42880, 56948, 71016?\nAnswer: 85084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -79982820 by 20.\nAnswer: -3999141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -203759 - 2*o**2 + 407989 - 204230.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (2 + (-6 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 361535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m**2 + 2*m + 1. Let l be n(-1). Let u = 10 + -8. Sort u, 0, l in ascending order.\nAnswer: 0, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133106 - 133106 + 67*h**2 - 70*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1903751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 20*x**2 + 13 - 20 as f*x**2 + g*x + v and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57350431.\nAnswer: 23, 41, 61, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4121310 (base 6) to base 2.\nAnswer: 110000001011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Is 817357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-3 + sqrt(2057))**2 + (sqrt(612) + sqrt(612) + (sqrt(612) - (-1*sqrt(612) + sqrt(612))**2) + sqrt(612) - (sqrt(1088) + 0)).\nAnswer: -50*sqrt(17) + 2071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a903 + 3?\nAnswer: a906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*n, 0 = q - 6*q + 5*n + 35. Let g be (-1)\/(-2)*2*3. Let y be 0 + (2 - (-10)\/(-4)). Which is the closest to 1?  (a) y  (b) q  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/(-7)*2)\/2. Let r = -0.23 - -7.13. Let c = 7 - r. Sort 1, c, a in ascending order.\nAnswer: c, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*q - 2 + 2 + 290*q + 2*q**2.\nAnswer: 2*q**2 + 203*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*k**3*s**2*z**3 + 3*k**3*s**2 + 27*k**2*s**2*z**3 - k*s**2 + 2*k*s*z**2 - 19*s*z**2 wrt z?\nAnswer: -48*k**3*s**2 + 162*k**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 - 17*i**2 + 29*i - 15. What is k(9)?\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1.9  (b) 9  (c) 2  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15102\/135 - (-4)\/30 - 2. Solve -7*v - n = 15*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 98*o**2. Let l(v) = 4205*v**2. Calculate x(l(p)).\nAnswer: 1732838450*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9960208 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 13, 5, 11 in decreasing order.\nAnswer: 13, 11, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 22*l**3 - 8*l**2 + 9*l + 33. Determine b(-2).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 147\/10 smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*m**2 - 7110*m + 206640.\nAnswer: 5*(m - 168)*(7*m - 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of n**3\/3 + 5*n**2 - 8*n - 8. Let v be w(-11). Solve 0 = -v*y + 2*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 - 25*n + 91. Give d(16).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*n\/(n**(-2\/19)*n)*n)**(-8)*(n**(-9\/4)*n)**(2\/33) assuming n is positive.\nAnswer: n**(-41279\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) + 4*2*sqrt(65))\/(sqrt(605) - (sqrt(605)*1 + sqrt(605)) - sqrt(605)) - (1*(0 + sqrt(13) + sqrt(13)) + sqrt(39)\/sqrt(27)).\nAnswer: -181*sqrt(13)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3 - 65*x**2 - 288*x + 828.\nAnswer: (x - 69)*(x - 2)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 342440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 3:37 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1055*x + 1055*x + 59*x**2 + 4*x**2 - 2*x**2 - x**2 + (-x - 2*x + 2*x)*(6*x - x - 3*x) + 2 - 17*x**2 - 9 + 19*x**2.\nAnswer: 60*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 PM and 4:23 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3865674 minutes to seconds.\nAnswer: 23.194044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 11097, 11063, 11007, 10929?\n\"Answer: -11*v**2 - v + 11109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -7*h - 597. Let j(b) = 3*b. Give p(j(x)).\nAnswer: -21*x - 597","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -0.4694625.\nAnswer: -0.0938925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17749727759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 19*m - 6*m - 12*m. Let h be 200\/35 + (-2)\/(-7). Let x(v) = -4 + 4 - 3*v + h*v. What is d(x(f))?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1680088 (base 9) to base 8.\nAnswer: -3450477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**2\/r)\/r)**(-2\/59))**5*(r**(-2\/17)\/r**(-2))\/(r**1)**39 assuming r is positive.\nAnswer: r**(-37399\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 640 and 1370408?\nAnswer: 109632640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 790415636?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 17*r**2 + 2*r - 4. Let f be y(-17). Let z = 12089\/3 + -3992. Let n = z + f. Which is the third smallest value?  (a) 5  (b) 4  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(1300)*-4.\nAnswer: -40*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6, s: 4}. What is prob of sequence qqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -209*i**2*r - 5*i**2 - i*r - 243*r - 14 with respect to i.\nAnswer: -418*i*r - 10*i - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -12353 + 12325 - (34 + -2 + -1)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216\/594 + -15*(-14)\/(-294)*70\/(-44).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -17*o**2 - 431*o - 102. What is k(-25)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*b**3 - b**2 - 24*b + 3226?\nAnswer: 15*b**2 - 2*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0\/(-9))\/(-1 - -4). Suppose y = 10*s - 14*s - 1568. Let r be s\/(6\/9 - (-3)\/9). What is r rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 PM and 7:39 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.3 times -1?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of 14\/13*i**2 - 110*i - 3\/13*i**3 + 0 + 1\/78*i**4. Factor a(x).\nAnswer: 2*(x - 7)*(x - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 281175784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5883162.\nAnswer: 2, 3, 491, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6 - ((-29685)\/2)\/15)*4.\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 5, q: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1658, -3316, -4974?\n\"Answer: -1658*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p**2. Let a(u) = -u**2 + 565*u - 2. Calculate a(z(o)).\nAnswer: -4*o**4 - 1130*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*f**3*z**3 + 124702*f**3*z**2 + 2*f**3*z + f**3 - 6280217*f**2*z**3 + 5*f**2 - 2*z**3 wrt z?\nAnswer: 54*f**3 - 37681302*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24) + (sqrt(240) + -2*sqrt(240))\/sqrt(10))\/(sqrt(192)*2))**2*-3*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 5, k: 1, t: 1, i: 3, g: 1}. Give prob of sequence gki.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1*sqrt(65)\/sqrt(80)*-4*6*3 + -4)**2 + -1.\nAnswer: -4229 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4*((-7)\/(-4) - -2) and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 6 = 3*u. Let l(k) be the third derivative of -1\/12*k**4 - 1\/30*k**5 + 0*k**3 + 0 + 0*k - k**u. What is the second derivative of l(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 42*g - 3. Let n be 0 + (-4)\/(-18) - (-98)\/126. Let m be r(n). Differentiate -40*o**3 + m - 39*o**3 + 75*o**3 wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o + 2. Let y be r(8). Let x = 23 + -21. Solve -y = 4*a + x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 102 + -97. Solve 5 - 10 = 5*k - q*h, -5*k - 4*h - 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31960 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*n - 10 = -10*m + 114*n, 0 = -3*m + 5*n + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -98383694050 and -0.1?\nAnswer: 98383694049.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 9:25 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 6, m: 4}. Give prob of sequence mme.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -396, -1923, -5174, -10725, -19152?\n\"Answer: -96*i**3 - 286*i**2 + 3*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2\/7)*n)**(7\/5)*n*n**5\/n*n*n*n*n*n**(-1\/10)*(n**6\/n*n*n)\/(n\/(n*n**(-1))*n)*n\/(n**(-1)*n)*n**(-5) assuming n is positive.\nAnswer: n**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 172 = 2*l - 5*l, -2*o - 274 = 5*l. Let a be ((-1)\/(-3))\/((-9)\/l). What is p in -5*p**5 + 0*p**2 - a*p**3 + 0*p**2 + 3*p**5 + 4*p**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-51)\/(-18) + -3 - 4\/264?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2*z)*(-z**2 + 3*z**2 + 0*z**2) + 4*z**3 - 2*z**3 - 3*z**3 + (-11*z**2 - 12 + 12)*(-4*z + z + 0*z) - 6*z - 3*z**3 + 6*z.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*i - 79*i = -187 + 817 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttttetteettttetett. What is prob of picking 4 t?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 207*q**2 + 2*q - 2*q - 922 + 1052 - 206*q**2.\nAnswer: q**2 + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34128 by -711.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 373683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l**(-2\/7)*l)*l)\/l)**(9\/10)\/(l*l**(-1\/15)*((l\/(l\/l**(-2\/29)))\/l)\/l) assuming l is positive.\nAnswer: l**(4241\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4498200386 to the power of 1\/3, to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppppxpp. Give prob of picking 3 p.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.7 + -3.9. What is u rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = -0*r + r - 1, -2*k + 7 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 19492 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 1391695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 388890 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**4\/9 - 490*x**3\/9 + 484*x**2\/9 + 976*x\/9 = 0. Calculate x.\nAnswer: -1, 0, 2, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12456*i - 4638*i - 3110*i - 4708*i + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -29, -30, -33, -38, -45, -54, -65?\n\"Answer: -a**2 + 2*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 63 and 99.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5907*z - 420 = -5942*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -341 = o - 340. Let g be ((o - (4 + -5)) + 9)*1. Solve 0*r - g = 3*v - 4*r, 4*v = 5*r - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 60572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 65\/(-507)*(-252)\/35\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ahdhadiaiddd. Give prob of sequence hdaa.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3333 - 1561.9.\nAnswer: -4894.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2243*m - 68701 = 9804 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 3*v + 80, -3*y + 4*v = -65 - 72. Solve k - y*k - 294 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28309549 by -6.\nAnswer: -28309549\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-8\/13)*o\/(o**(-21)*o) assuming o is positive.\nAnswer: o**(265\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2318865977 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 839079889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1109 (base 10) to base 6\nAnswer: 5045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 1)*(-2*c + 0*c + 0*c) + 2*c + 2*c - 2*c + 16*c + 4 - 4.\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -5 + 2 + -2 + sqrt(931) + 3*(0 + sqrt(931) + -2 - (0 + sqrt(931))*2))**2.\nAnswer: 308*sqrt(19) + 3845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.7, 6, 2, -1, 0.4 in increasing order.\nAnswer: -1, 0.4, 1.7, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9499197 divided by -79.\nAnswer: 120243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1845 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 + 25. Solve 0 = c + 3*c - w - q, -4*w = c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -245960 + 9638 = -6*g. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k - 20. Let n be h(10). What is the nearest to -9 in n, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, v: 2, o: 1}. Give prob of sequence ot.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159 - 57 = -2*o. Calculate the remainder when o is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -0.06  (b) 0.1  (c) -0.2  (d) 105.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.2 plus 0.135?\nAnswer: 4.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 12:43 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 + -1.2. Let p = 0.42 - 0.82. What is the closest to -1 in o, p, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 2*u + 1402, 0 = u + 3*k + 337 + 384. Let z = -658 - u. Calculate the remainder when 199 is divided by z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 41415 + -3?\nAnswer: 41412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 363 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 608 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3134 is divided by 3085?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-2)*x**(-3\/2)*((x**4\/x)\/x)\/x**(-3\/5))**(-7\/3) assuming x is positive.\nAnswer: x**(-287\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57321.7 decades to centuries.\nAnswer: 5732.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 4*h**3 - 5*h**2 + 2. Let m be a(1). Suppose 1 = 3*o - 2. Let u(j) = 3*j - o + 6*j**2 - j - j. Give u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 - p. Let z(s) be the third derivative of -s**6\/120 - 3*s**5\/20 + 5*s**4\/24 - 2*s**3\/3 - s**2. Let k(j) = 6*d(j) + z(j). Calculate k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1221\/7 - 174. Let g = -41\/13 + 3. What is the nearest to 1 in o, -4, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -116, -387, -912, -1775, -3060, -4851?\nAnswer: -7232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1421*z**2 - z**3 - 1359*z**2 + 3013*z**2.\nAnswer: -z**3 + 233*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 2\/21, 2\/3, -2.7, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*2*1\/(-2)*1. Let s(w) = -25*w. Let v(p) = 2*p. Let f(u) = -3*s(u) - 35*v(u). Calculate the smallest common multiple of 1 and f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 15 = -4*s + 17, -2*s = -3*m - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 + -13 + 20 - (-3 - (-6 - -1)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -267 = 2*k + 7*u, -5*k + 28*u - 50*u = -26*u - 128 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 303996 is divided by 565.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-121)\/((-29040)\/(-1344)))\/((-1 + -2)\/(-45)) + -3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/103, 35, 3, -5, 0, 355 in descending order.\nAnswer: 355, 35, 3, 0, -2\/103, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y**2. Let a(i) be the third derivative of 23*i**4\/12 - 17*i**2. Determine a(o(w)).\nAnswer: -92*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -118, 54, 574, 1616, 3354, 5962, 9614, 14484?\n\"Answer: 29*r**3 - 31*r - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.9 times -2?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence in when two letters picked without replacement from nnijnjjjnnnjnjjjhnn?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) -4  (b) 0.13  (c) -0.3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (54 - -5) + -34 - 1104\/36?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -75, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1981, -14847, -48913, -114505, -221949, -381571, -603697?\nAnswer: -898653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of k**7\/2520 - k**6\/240 + k**5\/30 + 6*k**2. Let x(t) be the third derivative of w(t). Differentiate x(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5655370 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2305*q**3 - 16*q**2 + 2509. Let y(x) = -1536*x**3 + 10*x**2 - 1673. Let l(p) = 5*n(p) + 8*y(p). What is the first derivative of l(b) wrt b?\nAnswer: -2289*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -79?  (a) -18833\/3  (b) -0.2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 13*i - 1. Let h be b(1). Suppose 14 = 2*a - h. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 11:10 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -23 times 7\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-35)\/(280\/(-48)))\/(5\/10*(-22)\/(-2))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 10*r**2 - 16*r - 2. Let n be u(8). What is the closest to -144 in -5, -3\/7, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1007645264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4379279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*m + 66 + 75 - 141.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -155884 - 88116. What is b rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -146 (base 9) to base 15\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 14) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.01, 25, 4.\nAnswer: -0.01, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -4. Let w = l - -6. Let d = 3 + 0. Solve w = d*c - 0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30, -53, -76?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 231*u**2 - 439 + 209 + 237 as l*u**2 + h*u + o and give l.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 - 28. Let p = y - -14. Let o be (-72)\/(-130) + 12\/(-30). Which is the closest to -1?  (a) p  (b) -0.2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -8*i - 6. Give b(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26721752 and 3317?\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 11 = -3*r, 7*k = 6*k - 2*r - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 15285746 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02 - 2.923.\nAnswer: -2.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*s + 2*s. Let o(b) = -63*b + 262. Let u be o(4). Sort 0, s, u in ascending order.\nAnswer: 0, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*p - 2*p + 11*p**4 + 4*p wrt p.\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 + 0)*((5 - 1 - 5)*(2*g - 3*g + 0*g) + 2*g - 4*g + 3*g)*(-685 + 1936 + 3082) as l*g + a and give l.\nAnswer: -17332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -703 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.2, 2\/49, 16\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/1452 and -19\/1452.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (6 + -11 + 0)) + -11 - 60.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -303587107*m - 458781590 wrt m.\nAnswer: -303587107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of -g**5\/240 + g**4\/48 - 25*g**2\/2 - 16*g. Let o(u) be the first derivative of f(u). Factor o(d).\nAnswer: -d*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*z - a + 11 = 0, -5*a - 5 = 0. Let q = -207 - -222. Let f = z - q. Round f to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*g + 4*g - 3*g + 133 + 126*g - 133 + (1 - 1 + 1)*(-4*g + 4*g + g) - 3*g + 3*g - 2*g + 2*g + 3*g - 2*g.\nAnswer: 124*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 29\/63, -3\/76, -3 in decreasing order.\nAnswer: 29\/63, -3\/76, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 6:31 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {j: 2, w: 1, x: 7, b: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-344)\/(-40)*1 - 9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 k, and 2 g when four letters picked without replacement from {t: 1, k: 1, g: 2, a: 1, z: 1, v: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -5*d + 32. Let w be (-1)\/(-6) - (d - (-119)\/(-42)). Suppose w = h - 4, -5 = -2*x + h - 3. Sort x, -1, -2 in ascending order.\nAnswer: -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35 - (-880)\/(-22)*(-3)\/(-15)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -34 - -52. Let t be 24\/m + (-100)\/(-6). Suppose b = 20 + t. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (364572\/(-5781) - -64)*94.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -75\/4 and 13\/237549710?\nAnswer: 475099420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qc when two letters picked without replacement from hcqcqqqqdqchcqcqcqc?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1403297565.\nAnswer: 3, 5, 47, 1990493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -537690?\nAnswer: -1\/268845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*q + 9. Let i be (-140)\/(-30)*(-6)\/q. Suppose i = -3*o - 2*u, 3*o + 4*u + 5 + 17 = 0. Sort -1, o, -5, 2 in increasing order.\nAnswer: -5, o, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3038 is divided by 1010.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 12:34 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101000100 (base 2) to base 9.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 + 3 + 4 + -3. Let w(s) = -s**3 - 4*s**2 + 7*s - 1. Let v be w(-5). Let r = i - v. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i. Let o be (-6)\/9*(-3 - 0). Let t = 6 - o. Let w(a) = 0*a + a + t*a. Determine w(x(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2947 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 n = 5235 + -12044. What is n rounded to the nearest one hundred?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {n: 2, l: 10, x: 4, b: 3}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/47139 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 - 1\/((30\/(-2766))\/5). Suppose -4*i + 508 + 700 = 0. Let a = p - i. Calculate the highest common divisor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101794 > 101833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18700096800 - 0.37.\nAnswer: 18700096799.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 - 3*j**2 + 2*j. Let f be k(2). Suppose f = 5*v - 4*y + 95, y - 12 = 3*v + 38. Let m = v - -21. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 18  (b) 48  (c) -3  (d) 0.5  (e) 0.1  (f) -2\/11  (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.02  (b) -1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 5*f + 95 = -2*x, -3*f - 305 + 476 = -25*x - 360 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v - 24 + 24 = 0. Calculate the remainder when v\/(-2)*(-18)\/36 + 49 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, l: 3, x: 1, m: 4, p: 1, d: 1}. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -9*r**3 - 9*r**2 + 26*r + 26. Let f(m) = -3*m**3 - 3*m**2 + 9*m + 9. Let q(i) = 17*f(i) - 6*t(i). Factor q(h).\nAnswer: 3*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 7:41 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of 2*n**5\/15 - 4*n**4\/3 + 4*n**3 - 18*n - 17. Factor x(g).\nAnswer: 2*(g - 3)**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2818070620.\nAnswer: 2, 5, 17, 79, 104917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f + 1. Let z(h) = 1. Let b(d) = -d + 1. Let s be b(5). What is s*z(u) + 3*n(u)?\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/38  (b) -2\/5  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102 + -101221221021212?\nAnswer: -101221221021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9.6 and -0.31.\nAnswer: 2.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 10*i - 5 = 9*i, 2*i + 8 = 5*h. Suppose 3*f = 33 - 48, h*y - 1622 = 2*f. Does 103 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 81994045.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12e85c (base 15) to base 14.\nAnswer: 199790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 671 - 398*k**3 - 1457*k**3 - 1339 + 668.\nAnswer: -1855*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -103 + 63. Let m = c + 39. Sort m, 6, -4, 4 in decreasing order.\nAnswer: 6, 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 + 9*g**2 + 11*g + 34. Let m be y(-8). Solve 5*k + 2*n + 12 = m*k, -3*k - 4*n + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9790400 to the nearest 100000.\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + -4*((sqrt(72) - 1*sqrt(72)) + 5))**2 + 3.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -173*i**2 + 2*i + 1. What is k(-1)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2461*l**2 + 11626*l**2 + 3628*l**2 in the form x*l**2 + s*l + n and give x.\nAnswer: 12793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 517090 to the nearest 1000.\nAnswer: 517000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1179409 is divided by 5868?\nAnswer: 5809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(2\/7)*d*d**(-2))**11*((d\/d**7)\/(d*d**(2\/7)))\/(d*d*d**1)**40 assuming d is positive.\nAnswer: d**(-836\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1192*n + 34363 - 90387 = 0 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1559, 1583, 1585, 1559, 1499, 1399, 1253?\n\"Answer: -k**3 - 5*k**2 + 46*k + 1519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 4*x - 4. Let b be s(7). What is the highest common factor of 24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 445284 and 2511.\nAnswer: 1335852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m*m\/((m*m**(-4))\/m)*m)*m*m**(-4)*m*m)\/((((m\/(m\/(m**(-12)*m*m)))\/m)\/m)\/(m**(2\/11)\/m)))**(1\/22) assuming m is positive.\nAnswer: m**(35\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -2*m**2. Let h(u) = -8*u - 3. What is h(c(y))?\nAnswer: 16*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*v**4 + 122*v**3 - 4*v**2 + 9845*v wrt v?\nAnswer: -72*v**2 + 732*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.7  (b) -6  (c) 5  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 18880802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-10))\/((-3)\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(102)\/(1*sqrt(6)) + 3.\nAnswer: -3*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -381 + 365.48. What is c rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1756 - 1749. Let w(t) = 15*t**2 + 6*t + 7. Let c(s) = -7*s**2 - 3*s - 3. Calculate v*c(a) + 3*w(a).\nAnswer: -4*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 1 = 4. Suppose -2*v - 10 = 0, -5*x + g*v = -v - 220. Find the second derivative of 40*c**2 - x*c**2 + 8*c**3 - 9*c wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310100 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) + sqrt(126)\/sqrt(2))**2*5.\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.4, 16295, -5\/4, 3 in descending order.\nAnswer: 16295, 3, 0.4, 0, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 3*g**2 + 5 - 5*g**2 as m*g + v + y*g**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/1)\/(((-10)\/(-8))\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-219 - -212) + (-6 - 4) - (-130 + 3)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 32 + 3. Suppose u*y - 24 = 11. Suppose -y*b = 9*b - 616. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 4*i - 27 = -0*z, 5*i = 2*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) - sqrt(2156)) + -4 + 0 + -1 + sqrt(176) + -1 + sqrt(44))**2.\nAnswer: 84*sqrt(11) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*i = -169*r + 172*r + 3564, 2*i - 3*r - 57 = i + 2*r for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 5.8. Let g = -54 + 22. Let m be (1\/6)\/((-8)\/g). Put -5, d, m in ascending order.\nAnswer: -5, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 + 4.9. Let m = 4.9921294 - -0.0076006. Let z = n - m. What is z rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/20 and -161\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - 5*q - 18. Let o be m(-3). Let w(r) = -41*r + 31. Let i(y) = -40*y + 29. Let a(l) = o*i(l) - 5*w(l). What is the derivative of a(x) wrt x?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 75 - 103\/(3399\/2728)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 7:23 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -20 + 829a8?\nAnswer: 82988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (4\/3)\/((-82)\/30 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 times -2599.177?\nAnswer: 59781.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 507763.1049 to the nearest 10.\nAnswer: 507760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -2  (b) -5  (c) 86  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 5239139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 756 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 29 = -4*p, -5289*p + 187*s + 279 + 307 = -5284*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-5 - -10 - (0 + 13)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(2\/9)*x**(-1\/2)*x*x**5*x**(-2\/11) assuming x is positive.\nAnswer: x**(1097\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847) + 0 + -4)*-2)**2 + (-2 + 1*(-3 + sqrt(847)))**2.\nAnswer: -462*sqrt(7) + 4324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8361 - 8340. Sort -35, r, -3\/2 in ascending order.\nAnswer: -35, -3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*o = -19858 - 11537. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5322803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -674809, -1350464, -2026117, -2701768, -3377417, -4053064, -4728709?\nAnswer: -5404352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/8980 and 81\/64?\nAnswer: 143680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10586 is divided by 3516?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*k + 29*k + 33*k + 12*k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 18 - 36. Find the first derivative of 48 + 0 + 31 + 25 - 57*f**2 + c wrt f.\nAnswer: -114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1283.9 + -1067. What is o rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524249 to the power of 1\/2, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26558 - -81091. Does 177 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m + 6. Let g be k(6). Suppose -3*b - 2*b + 15 = g. Suppose -x - x + 251990 = -4*o, b*o + 188985 = 3*x. Round o to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3728.91045 - -3729. Let b = q - 0.09. Round b to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 426623 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2129101217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of -5*c**4\/24 + 71*c**3\/6 + 10*c**2 + 2. Let a be t(11). Solve 0 = 3*y - 1 + a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.4 + 1.7. Let o = -1 - -3. Let m = o + 0. Sort u, 0, m.\nAnswer: 0, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, -5, 0 in increasing order.\nAnswer: -5, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x**5\/4 - 87*x**4\/4 - 237*x**3\/4 - 69*x**2\/4 + 60*x + 39 = 0. Calculate x.\nAnswer: -26, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2821 + 5.725407423\nAnswer: -2815.274592577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/35847 and -43\/30726?\nAnswer: 215082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f**5 + 395*f**4 - 2230*f**3 - 10320*f**2 + 50400*f = 0. What is f?\nAnswer: -84, -5, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 187637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bqkkqqkqqkqqkqk. Give prob of sequence qk.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/2 - 1*-3. Let m(b) be the first derivative of 5*b**2\/2 + 2*b - 2. Is m(x) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by -226387.\nAnswer: 11\/226387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.077 + -1.923. Let u be 1\/4*(-8 - -6). Which is the closest to 9?  (a) -3  (b) u  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 12*o**2 + 9*o - 15. Determine c(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1093430 plus 5242886?\nAnswer: 6336316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 113 = 2*m. Let k = m - -111. Let o(x) = -3*x - 3. Determine o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.78 - 3.77771. What is x rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1457.79424 rounded to one dp?\nAnswer: 1457.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-7*(-18)\/(-63))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14 - -70034275?\nAnswer: 70034261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of f**4\/12 + f**3\/2 + 4*f**2 + f. Let l be a(-4). What is the remainder when ((-51)\/l)\/(1\/(-4)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -915, -2888, -5913, -9990, -15119?\n\"Answer: -526*f**2 - 395*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 - -0.3. Let u = 0.035467 + -5.035467. Let v = -4110\/13 - -316. Which is the fourth biggest value?  (a) u  (b) j  (c) 4  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/7  (b) -2\/5  (c) -69  (d) -4  (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 3*p + 1. Let r be h(1). Suppose 7*x = r*x + 45. Let z(q) = q**2 - 4*q - 2. Calculate the remainder when z(-5) is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w + 2996946 = 2*o + 18*w, 9*w + 18 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18605.4 to the nearest one hundred.\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 75 + (-16 + (-14 - -39) - (-4 - -9) - 4)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -11*y - 1. Let t be q(8). Let p = t + 91. What is the second derivative of 2*g + 0*g - 7*g + 13*g**2 - g**p wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*h**5 - 65*h**4 + h**3 - 46*h**2 + 6*h wrt h.\nAnswer: -120*h**2 - 1560*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -2 - 0) + 9 + (-60 - -58)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -3*s + 3*u, 0 = 4*s + 2*u - 194 + 40. What is the greatest common divisor of s and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(1\/2))**43\/((c\/(c\/((c*c**(1\/9)*c*c)\/c))*c)\/(c**(3\/7)*c)) assuming c is positive.\nAnswer: c**(7915\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2428482 divided by -6.\nAnswer: 404747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.146 times 0.1\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 - (-33 + -21)) + -95?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1053 divided by 9?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2534 by -4.\nAnswer: -1267\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3 - 483*d**2 + 975*d - 489.\nAnswer: -3*(d - 1)**2*(d + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 333081 + -333078. Let p be 42\/(-15) - -3 - -2. Solve 16\/5*m - 4\/5 - p*m**y - 4\/5*m**4 + 3\/5*m**2 = 0 for m.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -7*a**2 - 4139*a - 591126. What is l(-350)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.91, 26\/9, -0.3, 2\/3, 2, 0.1, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27691*f + 22927*f - 2247*f.\nAnswer: 48371*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 55, -1\/11, 3, -25.947, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y**2 - 12*y + 21439. Give f(-106).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - ((3 - 9) + 17) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i - 2. Let b be f(6). Let w(z) = -b - 1 + 5*z - 6*z + 3*z. Let c be w(3). Solve h + c = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + (27 - 45) + 41?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - ((-230)\/(-22) - 11)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 4*t + 60 = 0, 273*t - 406 = 25*c + 271*t for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.077, -0.3, -1269290 in ascending order.\nAnswer: -1269290, -0.3, -0.077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -267 + 8ac32?\nAnswer: 8a998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13.4 + 3.4. Is -1 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31434 = 14*x + 12*x. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 201286515 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 24856*r*x**2 - 63808726*r*x - 3*x**2 wrt x.\nAnswer: 49712*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l\/((l*l**(-11\/3))\/l))*l\/(l*l\/(((l\/l**(-41))\/l)\/l)*l) assuming l is positive.\nAnswer: l**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - (-121)\/2)*16\/12. Let f = u - 83. Let v = -5 + 8. Calculate the highest common divisor of f and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21875.3114 + -21552.35. Let n = -319.2792 + -3.7208. Let i = h + n. Round i to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73384763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12)\/8)\/(2\/24). Is (42\/v)\/(1\/(-447)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053)*3 - (sqrt(13) + (sqrt(104) - (sqrt(104) - sqrt(104)*-3))\/sqrt(8)))**2 + 2.\nAnswer: 10935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3575*g - 649*g = 181632 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*z - 58*z + 7293 = 0. Let c = -398 + z. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -1165*o - 13793. Give r(-12).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 + -13. Suppose -5*r - m - 25 = -4*y, -5*y + 5*r = -40. Find the third derivative of o**4 + o**5 - 4*o**4 + 4*o**2 + y*o**4 wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17 + 3 + -17 - (-2 + 15)) + 91 + -6.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1215 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31\/25 - -716\/275. Let v = -14237 + 142403\/10. Find the common denominator of v and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 103829*v. Let a(h) = -20*h. What is a(t(y))?\nAnswer: -2076580*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 158755406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/5  (b) -4\/39  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -79 - 0.146671?\nAnswer: -79.146671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1362973*o*q**3 + 5951*o + 3*q**4 + 10*q**2 wrt q.\nAnswer: 8177838*o + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 131001023032?\nAnswer: 131001023031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -5\/2  (c) -5  (d) -0.96  (e) -0.4  (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 4*f**5 + 56*f**4 - 1944*f**3 + 5632*f**2 + 17300*f + 9672 = 0?\nAnswer: -31, -1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y - 46. Calculate n(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*o - 520 = 47*o + 9*o. Let m = 1 + 0. Sort 2\/17, o, -2, m.\nAnswer: o, -2, 2\/17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.16 + 2.56. Let z = j - 2. Let m = -1.4 + z. Are -1 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 + f. Let q(s) = -10*s**2 + 5*s. Suppose -26*l - 6*i = -28*l + 56, 0 = 2*i + 12. What is l*w(b) - 2*q(b)?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -13*p**2 - 13*p + 35. Let l(a) = -3*a**2 - 3*a + 9. Let j(b) = -9*l(b) + 2*u(b). Calculate j(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15034117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 55954048 and 34971280.\nAnswer: 279770240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2*h + 4 + 1)*(8*h**3 - 6*h**3 - h**3) as d + v*h**4 + r*h**2 + p*h + z*h**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 52*x - 56*x. Suppose -4*c - 4*h = -19012, x*c - 4741 = -c - 4*h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -3. Let g(c) = 1 + 144717*c**3 - w*c**2 + 8*c + 6 - 16146*c**3. Let z be g(-7). Round z to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13 and -38.91.\nAnswer: -505.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 156281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2\/11, 51 in decreasing order.\nAnswer: 51, 5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -139981, -279957, -419933?\n\"Answer: -139976*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 10*u. Let x(m) = m. Let z(g) = -2*i(g) + 18*x(g). Let l(r) = -r**2. What is z(l(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 4. Suppose 42*i = -29*i + 60 + 224. Solve -u*m - 20 = i*o, -2*m - 3*m - 26 = 3*o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6043813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 159 and 9057.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -332*g + 336*g - 12 = -2*w + 20, -3*g = -5*w + 54 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/12 - 12\/16. Let v(x) = x**3 + 7*x**2 + 2*x - 3. What is the remainder when v(-5) is divided by 8 + j + (5 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42 - 21 - 17 + c.\nAnswer: c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (36 - (-13 + 4 + 20)) + -6 - 98?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5919 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wllllshflclswl. Give prob of picking 1 s, 1 f, and 2 w.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 101244 divided by -4602?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 6*a**2 + 48063*a + 18 - 47871*a.\nAnswer: 6*a**2 + 192*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/35 - (-1986)\/30. Suppose -o*d + 84*d = 11502. Calculate the greatest common divisor of 71 and d.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-192)\/30*(-14 - (-20 + -5 + 16))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eec when three letters picked without replacement from {c: 6, b: 5, e: 3, f: 1, t: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y**3 - y**2 - y. Let d be -2 + 111\/37*(0 + 3\/9). What is u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (21 - (4 - -12))*87528\/20. What is the greatest common divisor of h and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 63820, -0.057, -85?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45301 - -150718. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 85965 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -19866 (base 11) to base 8\nAnswer: -66014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 500439\/28 - 17862. Let z = h + -69\/4. Find the common denominator of -39\/56 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44895 is divided by 14960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 6 + 16)*((0*d + 3*d - 5*d)*(-3 + 1 + 1) + 0 + 0 - d + 0 + 0 + d) as y + g*d and give g.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -6. Suppose -j - 5*y + i + 5 = 0, -y + 1 = 0. Solve 5*m + o + 6 = 0, m + 4*o - 14 + j = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -130, -1103, -3746, -8893, -17378, -30035?\n\"Answer: -139*t**3 - t**2 + 3*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(144) - (1*sqrt(144) - sqrt(144)) - sqrt(144))*1)\/sqrt(9))\/((sqrt(72)\/sqrt(3))\/sqrt(3) - (sqrt(96)*-2)\/sqrt(12)))**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1085661086?\nAnswer: 2, 542830543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01194376 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/(2*(-2)\/(-152)). Suppose 5*u - m - 446 = 0, 4*u + 0*u + 5*m = h. Let p = 25 - 15. What is the highest common factor of u and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 7:29 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25.30005425 - -25.3. What is j rounded to six dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1307 a factor of 7586087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (4*(sqrt(448) + -3) + sqrt(448)*-2 + 3 + 3)*6*-4)**2.\nAnswer: -106752*sqrt(7) + 1051513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 13 - 233. Suppose 0 = -2*j - 3*y + n + 91, j - 78 = 3*y. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2143*d**3*q*w - 5*d**3*w**2 + 2646*d**3 + 1591*d**2*q - 5*d**2*w**2 - 12184*w**2 wrt d.\nAnswer: 12858*q*w - 30*w**2 + 15876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3 = 4*p - v, -6 = 3*v. Let f be (p\/1 - -2)*(-65)\/13. Is f greater than or equal to -37\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 2*q + 2, 2*d = q + q + 2. Which is the second biggest value?  (a) -5  (b) d  (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4427002.78 and 0.5.\nAnswer: -4427002.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 9, l: 7}. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46135508.\nAnswer: 2, 829, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003685313 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 1565*o**3 + 4*o**2 - 255*o + 2. Let a(q) = 1565*q**3 + 6*q**2 - 248*q + 3. Let d(c) = -2*a(c) + 3*s(c). What is the second derivative of d(t) wrt t?\nAnswer: 9390*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 85, 407, 937, 1669, 2597, 3715?\n\"Answer: -w**3 + 110*w**2 - w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -385.14519.\nAnswer: -393.14519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 229436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -33*u**3 - u + 1. Let q be w(1). Let y be 33\/22*44\/(-6). Let f be (-6)\/q + (-42)\/y. Which is greater: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 398647 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, q: 4, c: 1}. What is prob of picking 2 k and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.0671 - -1.0823. Which is the second biggest value?  (a) m  (b) -2  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8452204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n - 120 = -4*k - 12*n, -36 = -2*k - 5*n. Suppose 146 = 2*m + 20. What is the lowest common multiple of k and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of -o**7\/273 - 2*o**6\/195 + 6*o**5\/65 - 7*o**4\/39 + 5*o**3\/39 - 27*o. Solve j(h) = 0 for h.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -9*o + 7. Give i(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1002 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.84 minus 2099365?\nAnswer: -2099378.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 20 = -4*k, -2*p + k + 2 - 1 = 0. Suppose -2*o = p, 12 = 2*r + o + 3. Suppose 1 = 2*f + 5, 466 = r*v - 3*f. Round v to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1959329 and 1797.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -47 - 441*i + 1271*i - 441*i - 392*i + 17. Let o(z) = -2*z - 20. Let m = -2 + -3. Determine m*v(s) + 8*o(s).\nAnswer: -s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 7204*p. Let q(h) = -8851*h. Determine u(q(d)).\nAnswer: -63762604*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4126527136.\nAnswer: 2, 311, 414643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/31, -0.05, -120.1 in descending order.\nAnswer: -0.05, -3\/31, -120.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(3*2\/42). Let s be ((-6)\/1)\/2 - 7. Let j be ((-18)\/s)\/(6\/20). Which is bigger: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 22167 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 38*w + 22*w - 99 - 7*w. Is b(10) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 0*z = -3*q + 1019, -357 = -q - 5*z. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1905348 by 4.\nAnswer: -476337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 6*v**2 + 4*v. Let h be z(-5). Suppose 4*f - p = p + 18, 10 = -h*f - 4*p. Suppose -i - f = -3*i. Do 1 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 2:17 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = a - 1706, 5*h + 3457 = 2*a + 10*h. What are the prime factors of a?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 9)\/((-3)\/(-9)*(-120)\/(-40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 + 16*r**2 + 55*r + 1213. What is p(-17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 330 - 169 - 255 + 4*k**3 + k + (2 + 2 - 5)*(1 - 2*k**3 - 1).\nAnswer: 6*k**3 + k - 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 359 divide 5089543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**2 - 5*s + 3. Is b(3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -90.44 and 1.1?\nAnswer: -99.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from cnnxnxcnccnncnndxnd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -x**5\/15 - 81*x**4\/4 - 77. Solve j(a) = 0 for a.\nAnswer: -243, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -x + 215*k - 202*k - 24, -2*x + 14 = 5*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 7*k - 13*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 368 divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1082674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -9 - 1, 0 = -3*x + 5*d - 53. Let u be 9\/4*(24 - 4). Let i = u + x. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**2 + 2*s**2 + 0*s**2 - 1 - 5*s**2 + 1 - 4*s**2 + 2*s**2 + 4*s**2 + (-2 + 2 - s)*(s - 2*s + 2*s) + (-s + s - s**2)*(1 + 3 - 2).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*k - 27932 + 28094 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, -10, 1, 2894\/9 in decreasing order.\nAnswer: 2894\/9, 1, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 158\/17 - 965\/102. Let p = 79 + -78.9. Let v = 1 + -1. What is the closest to 0.2 in v, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 395620358 - 395619973.000454. Let z = q + -385. Round z to 5 dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 12:46 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3135212 is divided by 784?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16418844257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u**2 + 5*u**2 - 2*u**2 + (-u**2 - 3 + 3)*(0 - 2 + 0) - 3 + 2*u**2 + 3 - 2*u + 2*u + 2*u**2 + 3*u**2 - u**2 - u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 + -26.42. Round h to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/3))**38)**(-16\/7) assuming y is positive.\nAnswer: y**(1216\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 237630 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162 = 5*q - 98. Let d = 57 - q. Solve u - 4*m = 6 + 1, -5*m - 40 = d*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*i - 8 = -113 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*l + 4*l - 10*l)*(-3 + 2 + 0).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 4041 divide 28308284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.592?  (a) -1  (b) -6950  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -77, 32, -5, 4, 2, 1, -2 in descending order.\nAnswer: 32, 4, 2, 1, -2, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -2.078. Round i to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -80, -7, 64, 133?\n\"Answer: -u**2 + 76*u - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -8695\nAnswer: 1739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 PM and 2:06 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*n + 118 + 1 = 0. Suppose -n*r = 139 - 16638. Suppose 0 = -c - 0*c + r. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l. Let n(t) = 2*t - 1. Calculate 4*n(k) - 5*u(k).\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 64 - -17. Suppose 0 = a + k - 61. Is a at most as big as -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 4 = 2*x, -5*x + 19 = 2*n + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/((-48)\/(-9))*2. Calculate the common denominator of ((-4)\/(-40))\/((-2)\/5) + f and -87\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 2*s**2 + s - 1. Let n be f(2). Let p = -3 + n. Suppose 2*y = 5*i + 6*y + 13, -3*y = i + 7. Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 304 + 343 = -h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*s - 12. Suppose 0 = -0*z + 3*z - 15. Let o = s + z. Solve 0*q + 3*q = o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - -7) + (12 + 0 - 14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 740154 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**3 - q**3 + q**3)*(0*q + 3*q - 2*q)*(-3*q - 3*q + 5*q).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*b - 609 = 33*b. Let z = b + -30. What is the nearest to z in 2\/9, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -11*s**6\/120 + 7*s**5\/6 + 6*s**2 + 7*s. Find the third derivative of v(k) wrt k.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 - -13. Which is greater: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 3) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of q**2 + 3*q - 1. Let t(s) = -6*s - 9. Let l = -1252 - -1255. Determine l*t(d) + 8*p(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19 and -0.06?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(245)*-5*-3.\nAnswer: -210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 2125 = -5*g, 3*g + 445 = -2*c + c. What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z**3\/8 + 2967*z**2\/8 = 0. Calculate z.\nAnswer: -989, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27762603 by -76481.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*g + 137*g = -2196 - 2144 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 + 6*l + 12. Let t be m(8). Let d(g) = 1 - 5*g + 0 + g**2 - 2*g**2. Calculate d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 5541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((2 - 2)\/1)\/2. Suppose 22 = -4*p + o, k = p - 3*p + 5*o - 2. Let q(y) = 17*y + 346. Let n(r) = -5*r - 99. Let j(m) = -7*n(m) - 2*q(m). What is j(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -78627\/10 + 7870. Calculate the common denominator of y and -31\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/1*((-374)\/(-184) + -2)*(-204)\/612?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 260 - -45224?\nAnswer: 45484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 + -8. Let c be 44\/t - (-2)\/8. Let f(q) = 10*q**3 + q**2 + q - 1. Let p be f(1). Solve -c*d + 10 = -2*u, -3*u = 3*d - d - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/6036164 and 99\/3018082.\nAnswer: 6036164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*y**3 + 312*y**2 - 525*y + 228 = 0.\nAnswer: 4\/5, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40893940 is divided by 296?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pm when two letters picked without replacement from mmrmrrrrrrrrrrrrprrr?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -73384853 smaller than -73384850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -43?  (a) 0.1  (b) 1\/9  (c) 5\/2  (d) -4  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**4 - 2*k**2 + 2*k**2 + (-k + 3 - 3)*(-2*k**2 - 2*k**3 + 2*k**2) + (k + k + 2*k)*(12*k**3 + 27*k - 27*k) + 2*k**2 - 7*k**4 - 4*k**2 + 13*k**4.\nAnswer: 57*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11114, -22216, -33306, -44384?\nAnswer: -55450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 21875*k**2*l**2*m - 11*k**2*l + 69*k**2*m - 381620*l**2 wrt m.\nAnswer: 21875*k**2*l**2 + 69*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*h + 38*h + h + (2*h - 3*h - h)*(-47 + 48 - 99) to p*h + k and give p.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 513060*v. Let y(j) = -86*j. Calculate y(r(z)).\nAnswer: -44123160*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 5 - 7)*(-328*c + 230*c**3 + 328*c + (-c + 2*c + 0*c)*(c - c**2 - c)) as j + z*c**2 + o*c**3 + g*c and give o.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*m**2 - m**2 + 3*m**2)*(2 + 0 - 1) + 4*m**2 + 0*m**2 + 10*m**2 + (2*m + m - 2*m)*(3*m - m - 3*m) - 2*m**2 - 3*m + 3*m as w*m**2 + u*m + z and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n*n**1*n)**(-18)\/(n**(4\/9)\/(n*n**(-8)*n)))\/((n**(-2\/13)\/n)**(-7\/4))**(-17) assuming n is positive.\nAnswer: n**(-29071\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 2041.\nAnswer: -5\/2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -5*f + 8. Let b(i) be the second derivative of -3\/2*i**2 + 1\/3*i**3 + 14*i + 0. Let t(o) = 8*b(o) + 3*w(o). Let l(u) = 7*u. Calculate t(l(g)).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 5:21 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (1\/10)\/((-3)\/6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 18*n**3 - 4*n + 3. Let s(v) be the second derivative of -9*v**5\/10 + v**3\/2 - v**2 - 2*v. Let k(w) = 4*s(w) + 3*t(w). Is k(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -37*l**3 - 3*l**2 - 4*l - 10. Let d be x(-5). Let h be (-252249)\/d - 4\/(-38). Let a = 993\/20 + h. Find the common denominator of -47\/22 and a.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = 12*f + 23. Let d(j) = 3*j + 12. Calculate d(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - -14. Suppose 6317*s - 6314*s = 2*j + 104, -3*s - j + 74 = 0. Solve n = -3*c - c + r, 5*c - s = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 4 + (sqrt(3) - sqrt(9)\/sqrt(3)))*-5 + -5)**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18870\/(-666)*3\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 32\/5 of a microsecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 1, 45, 0.3, 5, -2 in increasing order.\nAnswer: -2, 0.3, 1\/3, 1, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 3 + 7)*(-2*m**2 + 2*m**2 - 3*m**2).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 8:03 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -371160\/11, -2.9, 0.3?\nAnswer: -371160\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -48.79 and 11.\nAnswer: -536.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 20980277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 3:39 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1396, -1395, -1394, -1393?\nAnswer: -1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, -0.01, -921.\nAnswer: -921, -2, -0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15646 + 15645. What is the nearest to 2\/5 in 0.3, -3, 0.1, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.42, 0.04, 2\/9, -4 in increasing order.\nAnswer: -4, -0.42, 0.04, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 - 7*w**2 - 10. What is the tens digit of p(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -5473*f - 1419. What is u(-1)?\nAnswer: 4054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 341*t - 30. Let b(i) = 38*i - 263. Let o be b(7). What are the prime factors of c(o)?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z = -2*z + 5*s - 250, 2*z + 5*s = 100. Let b = z + -47. Suppose 2*y + b*y - 10 = 0. Calculate the greatest common factor of y and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of n**2\/2 + 10*n. Let z(r) = r + 1. What is -4*o(p) + 3*z(p)?\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 PM and 9:45 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p**2 + 63*p + 101. Let f be t(33). Find the second derivative of 5 + f - 3*x - 3*x**3 + 2 + 13*x**2 - 21*x**2 wrt x.\nAnswer: -18*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/(-8))\/(-11 - 2755\/(-250)). Solve -t + 2 = 23*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -58, 3\/4, -0.5, 24, 0.05?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 106 - 110. What is the common denominator of 119\/12 and ((-95)\/(-150) - g) + -3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 9*p**4 - p**3 - 13*p**2 + p - 1. Let s = -2 + 3. Let d(w) = -w**3 + w**2 + w. Let x(t) = s*l(t) + 5*d(t). Suppose x(g) = 0. Calculate g.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7380 = 36896\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 1195*r + 0 - 2 - 555*r in the form q + b*r and give b.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 less than -13457?\nAnswer: -13471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b**3 - b**3 - 1575 + 1575.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 45 = -0*z, -22*z + 52*z + 0 + 57 = -g + 24*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 10*y. Suppose -3*o - 3*z + 48 + 60 = y, 0 = z + 1. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -2\/339, -1, -0.2, -4?\nAnswer: -2\/339","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1916.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.4, 555, -1.16 in descending order.\nAnswer: 555, -1.16, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 1\/16353 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-8)\/(q\/(q**(1\/4)*q))*(q**7\/q)**17 assuming q is positive.\nAnswer: q**(377\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-8 + 9) - (29 - 12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73, -95, -131, -181, -245, -323, -415?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -10*c. Let y(g) = -17. Let q(o) = -3. Let f(m) = 22*q(m) - 4*y(m). Let i(n) = n + 6. Let t(b) = -3*f(b) + i(b). What is x(t(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 640*z**3 + z**2 + 4*z - 4. Is p(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 7 + 2*q**3)*(-3 + 16 - 30 - 8*q - 28) as y*q**2 + h*q**4 + p*q**3 + a*q + x and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1529.19 to the nearest 10.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 - -20. Let s = 1 + 1. Suppose -g + 7 = -t, 0*g - 5*g - s*t + p = 0. Solve -2*l - 4*x - g = 0, 20 = 5*l - 4*x - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240454.5321 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 80 + -82. Sort -4, 0, o in ascending order.\nAnswer: -4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r**3 + 105*r - 100 = 0 for r.\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of -2\/3*s**3 + 0*s**2 + 0 + 79*s + 1\/42*s**4. What is n in v(n) = 0?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 6*w - w = 98, -2*b = 4*w + 36. What is the least common multiple of 2 and (32\/(-5))\/(b\/55)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 153*c - 11*c - 20*c + 121*c.\nAnswer: 243*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3 + 2*f**2 - 313*f**3 - 1136*f**3 + 0*f**2 + 4*f**4 + 572*f - 307*f**3 wrt f.\nAnswer: 96*f - 10536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 298973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4912777\/35892 - -514\/997. Let c = -1177\/9 - w. What is the common denominator of c and 91\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 44 = -4*z + 176, 3*d - z = 149. What is the remainder when d is divided by 8\/(-28) + 405\/21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2316 - -9878. List the prime factors of l.\nAnswer: 2, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 0. Solve -4*q = a + 16, -a + 30 = -c*q + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 30 = -5*f. Suppose -4*i + 5*k + 96 = 0, -f*i = -2*k - 35 - 68. What is the greatest common factor of 133 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 30999.1 and 200.211?\nAnswer: 30798.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4416 and 81144?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 16*o**2\/9 - 46*o\/9 + 10\/3 = 0. Calculate o.\nAnswer: 1, 15\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32 - (59 - 10)) + 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 105 - 103. Solve -2 = a + 2*p, -p + 2 = d*a - 3*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -355617834*l + 20910607?\nAnswer: -355617834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -6*c + 1325. Suppose -3*f + 15 = 2*f, -f = -4*v + c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1375256*c**5 + 925*c**2 + c - 8 wrt c?\nAnswer: -82515360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 6:18 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1197804?\nAnswer: 2, 3, 99817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 18*-0.091\nAnswer: -1.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(5 + -4)*-5. Suppose 4*x + z = 19 + 6, 2*x - z = w. Let g(o) = 3*o**2 - 9*o - 7. What are the prime factors of g(x)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 2420 = 4*c - 363, 0 = 4*m - 4*c - 3664. Factor 7*d**2 + 2*d**2 + m*d - 3*d**4 - 927*d.\nAnswer: -3*d*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -9 - (6 - 5) - -8. Which is the closest to l?  (a) -0.2  (b) 3\/5  (c) 2\/7  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -957\/4 in -18, 2\/21, 584, -3\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1328 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 9 = 4*c. Let k be 1*(-90)\/(-5)*c\/(-3). Solve -k*v + 20 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, r: 2, c: 1, q: 1, u: 1}. What is prob of sequence gt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 10. Suppose -3*o = -3*y - 33, 4 = -u*y + 2*y. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 106*c - 57*c - 57*c + 80 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -492 - 3*f**2 - f**3 + 2*f**2 + 497 as r + d*f**2 + g*f**3 + x*f and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32379804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**4 - 5*x**4 + 0*x**4 + (-x**3 + 2*x**3 + x**3)*(-7*x + 0*x - 8*x) + 4*x**4 - 5*x**4 + 3*x**4 + (5*x - x - 2*x)*(5*x**3 - x**3 - 2*x**3).\nAnswer: -26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 2.02. Let s = -3.02 + j. Let r = 1.91794 + 1.08206. Sort -2\/7, 4, r, s in descending order.\nAnswer: 4, r, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 (base 7) in base 5?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-3 - (1 + -2))) + 50 + -43.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vgvvvnvvvgnn. What is prob of sequence ng?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 - x**2 - 5*x - 4. Let m be t(3). Let g be (3\/6*(-6)\/3)\/m. Put -5, -2, g, 2 in increasing order.\nAnswer: -5, -2, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 0 + -2 + (-3*sqrt(396)*2 - (sqrt(396) + -1)*6 - (1 + 3*(0 + sqrt(396))**2)).\nAnswer: -1186 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 87 + -31. Let g(h) = h**3 + 12*h**2 + 11*h + 14. Let j be g(-11). Calculate the highest common factor of j and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2  (b) -2  (c) 44  (d) -249  (e) 1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/5 of a milligram in micrograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 54*i. Let z(y) = -y**2. What is c(z(t))?\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(4\/3))**(-2\/29) assuming q is positive.\nAnswer: q**(2\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 4\/209, -4, 120?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1156*p**2 - 1163*p**2 + 0*p + 0*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21780 and 660.\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4124265.\nAnswer: 3, 5, 274951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30 - 24. Solve -5*s = -5*g + g + 15, -g = 2*s + o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hsd when three letters picked without replacement from ddmmmthssmsmstdhttst.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 363 = -v - 2*v. What is v rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (71*n + 51*n - 187*n)*(-4 + 1 + 0) - 2*n + 0*n + 3*n in the form b + v*n and give v.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1651\/92 + 398\/23. Suppose 0 = 2*d + 3*i - 72, 0 = -5*d + 5*i + 576 - 396. Which is greater: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 0, -21\/20, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-65) + 12\/(-60). Suppose 120 = -4*l + 2*l. Let b = l - -239\/4. Is d smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 AM and 7:52 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.7 and -70.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 41a - -12?\nAnswer: 42c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + -3. Let j(w) = -3*w**3 + 3*w**2 + 2*w. Let n(z) = -6*z**3 + 6*z**2 + 5*z. Let c(o) = y*j(o) + 2*n(o). Factor c(d).\nAnswer: 3*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 106388*-145\nAnswer: -15426260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 531985485 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -21.2 from -0.171645.\nAnswer: 21.028355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 27322 + -1737?\nAnswer: 25474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 269 + -110. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 PM and 8:05 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -36 - -33 - ((0 - 1) + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 59*l - 13. Suppose 0 = 4*c + 4*u + 92, 6*u = 4*c + u + 92. Let x(r) = -r**2 - 24*r - 21. Let p be x(c). Is o(p) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -222.\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*n - 29*n + 15 = 0. Which is the closest to 1?  (a) -3\/5  (b) -11  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -53\/2*o**2 - 1\/6*o**4 + 1\/3*o**3 + 2 + 4*o. Find the first derivative of z(a) wrt a.\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 45 = -4*f + 5*c, 2*c + 14 = f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20 + 19. Sort 9, -4, -3, d in descending order.\nAnswer: 9, d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**3 + g**2. Let z be r(1). Let s be ((0 + z\/(-2))*0)\/2. Solve -3*a + s + 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 18*y**5\/5 + 6378*y**4\/5 + 383228*y**3\/5 - 651508*y**2\/5 + 61130*y - 43766\/5 = 0.\nAnswer: -277, -79, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 5845 = -3*p, -3*k = 2*k + 5*p - 14620. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17721313?\nAnswer: 17721313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/189?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h**3 + 237*h**2 + 1083*h + 2948. Give n(123).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 7*b - 7. Suppose -5*v + 0*l - 5*l = -10, -4*l = 2*v - 4. Let h be 4*1\/(v\/(-3)). Let w(z) = -20*z + 20. Give h*w(x) - 17*f(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 396 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/11 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -3*j + j + j + 6. Let a = 1685 + -1682. Let b be u(a). Solve 0 = -b*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/10 in 4, 0.312, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/12 and -5\/87652.\nAnswer: 262956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -151 and 0.2.\nAnswer: -30.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*3*(1 + sqrt(363) + 0)**2*6.\nAnswer: 2376*sqrt(3) + 39312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 n, 1 e, and 1 p when four letters picked without replacement from praenaa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.3+-1.3334\nAnswer: -1.6334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1747.745 + -1752. Let t = 4.7 + f. What is t rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -29*z**2 + 701*z - 2412. Determine v(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of 0 - 1\/4*g**5 + 0*g**3 + g + 5\/42*g**7 + 1\/6*g**4 - 1\/15*g**6 + 0*g**2. Let o(s) = 0. What is s?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 + 8*l + 10. Let s be w(9). Let c be s\/(2\/2)*0. Solve -3*r + 4*r + 6 = 4*g, 3*r - 4*g + 2 = c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4 - 46*w**3 + 195*w**2 - 248*w + 100.\nAnswer: -(w - 2)*(w - 1)**2*(w + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3845 + 3859. Solve -m = 204*g - 197*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1375 and 112948?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = r + 2*q - 2, -16 = 2*r - 3*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (-1296)\/300)\/(408\/(-1530))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z**3 - 5*z**3 - 10*z**2 + 12*z**2 + (-2*z**2 + 2*z**2 - 2*z**2)*(0*z + 3*z + 0*z).\nAnswer: -8*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -30977 to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 - 71*t + 385. What is q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -81*v**3 + v**2 + v - 1. Suppose 0 = 5*y + 15 - 10. What is the units digit of r(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 - 6*w**3 + 5*w**3 + 6*w**4 + w - 9 in the form z*w**2 + c + m*w**4 + v*w**3 + y*w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -2*h + 831, 3*q - 2*h - 505 = -0*h. Let x(a) = 2*a**2 + 24*a - 22. Calculate the remainder when q is divided by x(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 1:24 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 4112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-27)\/3*(-4686)\/(-19170).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(-1\/8)*g))**(-8)\/(g**(-28)*(g**(-5\/17)*g*g)\/g) assuming g is positive.\nAnswer: g**(583\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -8775 smaller than -8769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 60 = -4*t. Let n be -5*(-2 - 42\/t). What is the biggest value in -1\/6, n, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5308.9997861 + -5309. Round t to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/6)\/(57\/9)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 p when four letters picked without replacement from {p: 16, n: 4}?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -2*h**2\/19 + 446848*h\/19 + 5362464\/19 = 0?\nAnswer: -12, 223436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15729969.\nAnswer: 3, 5243323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 3:54 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(475) + 0 + 5 - 1*sqrt(475)*2.\nAnswer: -5*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 6*b**2 + 2*b + 12. Let l be h(-6). Suppose o + 8 - 396 = l. Suppose 3*u - 7*u + o = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*f = -16*f + 128. Suppose -3*x = -7*x - f*q - 16, 0 = -5*x + 2*q + 8. Solve x = 4*i - 4*u + 28, 0 = -5*i + u + u - 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 - 6*i**2 + 5*i + 3. Let z(q) = -q**2 + q. Let o(t) = -p(t) + 5*z(t). What is o(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 5) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38381910*r**3 - 38381912*r**3 + 76763828*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 3 - 28*b - 60*b**2 + 56*b**2 - 1. Let v(f) = 1. Let t(r) = -q(r) + 2*v(r). Determine u so that t(u) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 289608769*n - 445899728.\nAnswer: 289608769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 0)\/(1\/2). Let u be g\/(-3) - (-2)\/(-3). Let p be 9\/(-5) + (4 - 2). Is u > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 431920 and 203440.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 - p - 1. Let r(z) = z**3 - 6*z**2 - 5*z - 7. Suppose 3 = h + 2*h. Suppose -h = j - 0. What is j*r(g) + 5*n(g)?\nAnswer: -g**3 + g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-2*sqrt(784))\/(sqrt(72)\/(sqrt(9) - ((sqrt(324)*-2 - sqrt(324)) + sqrt(9)))).\nAnswer: -1260*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 672 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16770.1 decades to centuries.\nAnswer: 1677.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.50069636 rounded to one dp?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7120538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -322, -318, -318, -328, -354, -402?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 265, 249, 229, 205?\n\"Answer: -2*j**2 - 10*j + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1926 + -83. Suppose i = 9*j - 1262. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-8))**(-11))**48 assuming m is positive.\nAnswer: m**4224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4103*d + 3769*d - 11586*d + 3704*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001106 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + -3 + 1 - (12 - 8). Let a(i) = -i - 1. Let y be a(5). Let k be y\/(u + 0) - -3. Solve -3*g - 2 = -k*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(((-45)\/(-10))\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -197 (base 10) to base 9.\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53.0023 - 53. Round z to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/6 and -131\/1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b. Let p(c) = 3799 + 3788 - 7574 - 24*c. Determine k(p(d)).\nAnswer: -24*d + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 138\/11, -8, -2\/5, 27, -40?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 96*j**2 - 7*j - 4. Let v be w(0). Put v, -13, 7 in decreasing order.\nAnswer: 7, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27473 - 27475.3019. Round y to 2 decimal places.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4*(-2 - -1)*10. Let j = -29 - -38. Let o(w) = -2*w + 26. Let i be o(j). What is the highest common divisor of i and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) - sqrt(77)*1*-4)\/(-1*sqrt(176)).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, q: 5}. What is prob of picking 1 q and 1 m?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 138 and 3381.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 + 2*b**2 + b. Let v be n(2). Determine m so that v*m + 3*m - 6*m - 5*m**2 + 6*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-4) - 6\/(-4). Let b(j) = 2 + j**3 - j - 2 + g + j**2. Let w(a) = -2*a**3 - 5*a**2 + 3*a - 1. Suppose -5*o + 3 - 8 = 0. Give o*w(l) - 3*b(l).\nAnswer: -l**3 + 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1215773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6350?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(((-12)\/3)\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v - 1. Let n(s) = -2*s - 43. Let k(b) = -n(b) - 5*t(b). Let h be k(15). Suppose -2 = -h*i + 2*i. Solve 1 = -i*z + z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of 3581*i**4\/12 + 434*i**3\/3 - 336*i**2 - 4. What is the derivative of a(s) wrt s?\nAnswer: 7162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**2 - 12*z + 14. Let w(h) = -h + 1. Let g(k) = -q(k) + 6*w(k). Solve g(c) = 0 for c.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**(-2\/29)*c**(-1\/2)\/c*(c**0)**(-12)*(c\/(c**(-2\/21)\/c))\/(c*c\/(c*c*c**(4\/3))*c)*(c**0\/c)**(-27) assuming c is positive.\nAnswer: c**(11717\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m**3 - 368*m**2 + 71*m + 13086. Give p(-184).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3255927263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 4*d**3 + 17*d**2 - 5*d. Suppose 2*f + 9 = m, f - 92*m = -95*m - 8. Let i(g) = -2*g**3 - 9*g**2 + 2*g. Give f*i(q) - 2*x(q).\nAnswer: 2*q**3 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62 divided by -31.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of 1\/6*s**4 - 1\/40*s**5 + 0 + 1\/360*s**6 + 19*s**2 + 0*s + 23\/6*s**3. Let x(p) be the first derivative of r(p). Give x(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*k + 4*k. Suppose -k*n = -6*n + 10. Let r(c) = -c**3 + 7*c**2 - 5*c - 6. What is the tens digit of r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4592 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 9, k: 2}. What is prob of sequence ko?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 61*h + 68*h - 120*h + 2*h + 2*h + 2*h + (1 + 0 + 1)*(-3 + h + 3).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dooooooodd. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 1 = -25. Suppose 7 = l - r. Suppose -s + 3*q = 7, s = -2*q + 3 + l. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 9\/13649 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 11204, 22391, 33576, 44759?\n\"Answer: -t**2 + 11190*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -12*j**3 + 3*j**2 - 3*j - 3. Let q(l) = -145*l**3 + 35*l**2 - 35*l - 35. Determine -3*q(g) + 35*s(g).\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -403*t**3 - 2612*t**2 + 1447212 wrt t.\nAnswer: -1209*t**2 - 5224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -466*u + 72 = -478*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 73918 and 36959?\nAnswer: 73918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**4 - 3*p**3 + 0*p**3 + 0*p**4)*(39 - 52 + 10 - 10*p).\nAnswer: 10*p**5 + 33*p**4 + 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5ca42a - 12?\nAnswer: -5ca43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -252*l - 5188 + 8464 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -342*y**2. Let o(g) = -15*g**2 + 10*g. Let d(n) = 43*n**2 - 28*n. Let v(j) = -5*d(j) - 14*o(j). Calculate z(v(t)).\nAnswer: -8550*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*c*v**2*y**2 + 2*c*v*y + 6*c*v + 4*v**2*y**2 + v**2*y - 2*v*y wrt y?\nAnswer: -8*c*v**2 + 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 138308 and 52616.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (20\/16)\/((-3)\/(-12)). Let d = g - -8. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112406 is divided by 90?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -4 - (-21 + 23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 8:43 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6851*r + 836 = 6840*r. Which is the second smallest value?  (a) r  (b) -1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 7:58 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 6:39 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is f in f**2\/5 - 14031*f\/5 - 647542\/5 = 0?\nAnswer: -46, 14077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 310 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -68*y**2 + 10*y - 1. Let s(z) = z. Let t(n) = -h(n) - 2*s(n). What is the second derivative of t(w) wrt w?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 98 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.4379 + 0.46. Round u to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 1 = -3*q + 7, 0 = 4*g + q - 54. Calculate the greatest common factor of 42 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y + 0*y + 133 - 124 + y - 2*y.\nAnswer: -7*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205813.\nAnswer: 29, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -402*w - 10*w**4 + 2*w**3 + 12*w**4 + 366*w - 2*w**2 + 25 to the form j*w**4 + u*w**3 + t*w + r*w**2 + s and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 81632*w**2 - 9*w + 2. Let m be f(-14). What is m rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 27016, 54094, 81238, 108442, 135700, 163006, 190354?\n\"Answer: -l**3 + 39*l**2 + 26968*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**4\/5 - 128*r**3\/5 + 714*r**2\/5 - 1044*r\/5.\nAnswer: 2*r*(r - 58)*(r - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 64*h**3 - h**2 + h - 1. Suppose -3*g - 5 = 1. Let n be 2\/4 - g\/4. Is c(n) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*z**2 + 3 + 2634*z + 2*z**2 - 4*z**2 + 215*z to x*z + g*z**2 + t and give x.\nAnswer: 2849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31170 and 894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.82 and 2720963.\nAnswer: 4952152.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 20 = 3*b. Let g(w) = w**3 + 20*w**2 + 2. Let q be g(b). Suppose -6 = 2*l + 4*m, 2*l + q*m - 18 = -2*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19.9 + 20. Let f = 3 + -2.9. Let i = f + m. What is the third biggest value in 2, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 537 = 93. Let u = q - 72. Sort u, -1, 0, 4 in descending order.\nAnswer: 4, u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1318752 divided by 82422?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*y**5 - 263*y**3 - y**2 - 827?\nAnswer: -180*y**2 - 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5, g: 6, r: 3, l: 3}. Give prob of picking 1 g and 2 r.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 8806730350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 197325 by -4385.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 176, 175, 164, 137, 88, 11, -100?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2. Let c(z) be the third derivative of 3*z**5\/40 - 11*z**3\/6 + 60*z**2. Let g(w) be the first derivative of c(w). Determine g(d(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*b + 4*b + 11*b to a*b + w and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from eoncm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 287 - 285. Solve -l + 3*w = 8 - 1, -3*l = y*w - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 167817 or 167826?\nAnswer: 167817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = 5*a + 19, k + 3*a + 97 = 92 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 172, 620, 1360, 2386, 3692, 5272, 7120, 9230?\n\"Answer: -k**3 + 152*k**2 - k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 59369026 + -59369018.7000101. Let n = -7.424 - -0.124. Let i = n + v. What is i rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 18\/8 + 0 + (-1)\/4. Suppose -p*v - q + 169 = 0, v + q + 266 = 4*v. Suppose 4*y = 263 - v. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.39 - -0.01. What is the second biggest value in -0.1, h, -0.16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.025749618 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {d: 1, r: 1, v: 1, h: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*(-4)\/(-20) + 5 + -4. Let t = 5\/3 - k. Let g = -0.1 + -0.3. Sort g, t, 0.5.\nAnswer: g, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7\/15 - (-2)\/10. Let p be ((-70)\/(-8))\/(-5) + 1. Suppose 0 = -0*s + 4*s - 8. Which is the third biggest value?  (a) s  (b) j  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 19 + -62?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1761, 3531, 5301, 7071, 8841?\n\"Answer: 1770*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 10266382 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 267366?\nAnswer: 2, 3, 11, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, -0.1, 2\/15, -3, -11\/32?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 43*w**2 + 61*w - 38. Determine g(-45).\nAnswer: 1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c + c - 9*c + 11*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/65?  (a) -164  (b) -2  (c) -77\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*c = -1448 + 1448 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14438\/19 - -760. What is the closest to 0.02 in 0.3, -17, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/418 and -42\/5.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 120 + 54*r - 138*r + 5*r**2 + 0*r**2 + 34*r.\nAnswer: 5*(r - 6)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes before 5:31 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -9*v. Let q(r) = 31*r**2 - 10*r. Let k(c) = 92*c**2 - 28*c. Let h(a) = -5*k(a) + 14*q(a). Determine h(m(u)).\nAnswer: -2106*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63117 by 48.\nAnswer: -21039\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 84 + -48. Let s = n - 27. Find b such that -18*b**2 - 3*b**3 - 3*b**5 + 6*b + s*b**4 + 6*b**2 - 3*b**2 + 6*b**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1150478.\nAnswer: 2, 7, 37, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 183 + -188. Let r be (12\/21)\/(z\/(-105)*6). Determine x so that -1\/5*x**4 + 0*x + 0 + 0*x**r - 1\/5*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + 12. Let c = -289 + 301. What is the greatest common factor of u and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 0 - (10 - 15 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 + 35. Let l = 18 - f. What is the smallest value in 0.1, 0.5, -1.8, l?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3429*g*q**2 - 19250*g*q + 2*q**2 wrt q?\nAnswer: 6858*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -104*w + 7. Let u be i(-1). Let j = u - 129. Let f = 203 - j. List the prime factors of f.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4*(-3)\/(-36)*6. Suppose -l = -b + 70, 3*b = 5*l - 138 + 358. Suppose 35 = s - c*r, 2*r - 6*r = 3*s - b. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 451, -4\/9, -1, -3\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 = 0, 0 = 4*z + 3*w + 9 - 4. Which is the second smallest value?  (a) -4  (b) 2\/9  (c) z  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35)\/84*-3*((-4788)\/1045)\/42.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35\/15)\/(36 - 43785\/1215).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 500, 2073, 4698, 8369, 13080?\n\"Answer: -f**3 + 532*f**2 - 16*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 1752 = -437*p. Suppose -2*r + i + 0*i = -65, -r = i - 40. Solve o - p = -g, -4*o + 5*g = r - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 26\/13 - (2 - 122). Suppose 5*m = c + 148. Let p be 82 + ((-2)\/(-1) - 3). What is the highest common divisor of m and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 12193066 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 277185645 and 1485.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1aada (base 15) to base 16.\nAnswer: -1532e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - w - 4*w)*(4*w - 3*w + w) + 31*w**2 + 11*w**2 + 27*w**2.\nAnswer: 65*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-52 - -1434) + (1 + -2 - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-98)\/(-189)*9*(-12)\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 50190 and 150.\nAnswer: 250950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 272216920 divided by -8245.\nAnswer: -33016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*q + 41 + 38*q + q**4 - 48 in the form g*q + f*q**3 + y*q**2 + u + c*q**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18452, -18449, -18444, -18437?\nAnswer: -18428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 32 + -36. Which is the third biggest value?  (a) m  (b) -0.1  (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -22, -41, -62, -85, -110, -137, -166?\n\"Answer: -v**2 - 16*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {d: 2, x: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 152*x + 7901. Give b(-52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*t**3*y + 63*t**3 + 2*t**2*y - t**2 + 3*t*y - 198*y - 9 wrt t?\nAnswer: 24*t*y + 378*t + 4*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/3906 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91 - 176 + 4*v + 100.\nAnswer: 4*v + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-11)*t)\/t)**(-5) assuming t is positive.\nAnswer: t**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -650.\nAnswer: 1\/650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11100110 (base 2) in base 5?\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 3*t)*(-2*t**2 - t**2 + t**2) + (-2 + 2 - t**2)*(0*t + 2*t + 0*t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 63277907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2646\/675 + -5 + 1. Which is the fourth biggest value?  (a) -5  (b) -0.2  (c) 1\/5  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 26 + (-30855)\/1485?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -49 + 64. Suppose 4*j + 61 - 9 = 0. Let z = i + j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 38*i - 163. Let p be m(33). What are the prime factors of (20 - 1269)\/(p - 3)?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -101 - -96. Let z be (22\/u + 3)\/(5\/(-25)). Let a(i) = 2*i**2 - 8*i - 5. Give a(z).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 (base 16) in base 10?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 + -24. Let r be (-14 + 2)*k\/8. Differentiate -2*f**2 - 1 + 15*f - r*f with respect to f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-201 - -192) + 60 + 0 + 4?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 23 + 8 + 8 - 5*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*q**2 - 54*q = 0. What is q?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -20, -16, -12, -8, -4, 0?\n\"Answer: 4*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 PM and 4:11 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1437 and -4?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, b: 1, u: 1}. Give prob of sequence bu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 439, -41, -519, -995, -1469?\n\"Answer: w**2 - 483*w + 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 6 + 45*x**3 + 5*x - 196\/3*x**2 + 28\/3*x**4 = 0.\nAnswer: -6, -1\/4, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, p: 2, g: 3, n: 2, o: 2, d: 4}. Give prob of sequence pnyy.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/(-3*sqrt(8)) + 0 + 3*(sqrt(11) - (sqrt(11) + 1 + sqrt(11))*1))**2.\nAnswer: 20*sqrt(11) + 1181\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 1:09 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 3*x**3 - 86*x**2 - 89*x + 6052. Determine l(27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2680562?\nAnswer: 2, 1340281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6841428558 to the power of 1\/2, to the nearest integer?\nAnswer: 82713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*c - 150*c - 54*c = 3*c - 5632 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*1\/(-4))\/((-180)\/96)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 26 + -1 + (1 - -1). Let n = -19 + s. Let z(k) = k**2 - 473*k - 28455. Let l be z(-54). Solve -o = -l*o + n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-72)\/20) + 14\/(-24) + (-700)\/1008.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 - 12 = -2*d + 5*j, 9 = 5*d + j. Let l = d + 1. Find the third derivative of 5 + h**l - 5 + 2*h**4 wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/1074240 and 157\/1440?\nAnswer: 1074240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - 5 - 13) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -51536306 times 1\nAnswer: -51536306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - (-79)\/5)*20\/3. Calculate the highest common divisor of k and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142322.\nAnswer: 2, 71161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 8*p**2 - 14*p + 39. Give n(11).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1696 is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 3020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.7 and -0.03.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 46*v + 2. Let u be h(-2). Let l be (-8)\/(-16) - u\/4. Suppose -5 = x, g + 0*x - 2*x = 13. Solve -4*z - g*c + l = 0, 4*z + 11 = 2*z + 3*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5837490 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 9*b + 6. Let c(r) = -9*r - 7. Let w(m) = 6*c(m) + 7*j(m). Let u(s) = -467568994934 + 467568994934 + 10*s. Calculate w(u(k)).\nAnswer: 90*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -3*y**2 - 12*y. Suppose 25 = 4*t - 43. Let n(k) = k**2 + 4*k. Let o(l) = t*n(l) + 6*u(l). Determine o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and 0.0633224179?\nAnswer: 3.0633224179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d - 117. Let b(s) = 87*s + 1092. Let a(c) = -1624*c - 20358. Let y(n) = 14*a(n) + 261*b(n). Determine y(h(m)).\nAnswer: 58*m + 3393","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/(-6))\/((-6)\/36))\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**6\/((v\/((v*v*v**(4\/5))\/v)*v)\/v))\/(((v*v**0)\/v)\/v)**10 assuming v is positive.\nAnswer: v**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 AM and 6:37 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - -1)\/(3\/(-9)). What is the second derivative of 4*u**x - 5*u**3 + u**3 - 3*u**3 + 3*u wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 3*r - 9 - 34, -5*h - 3*r = 56. Let f = 8 + h. Sort f, -1, 42.\nAnswer: f, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 - 2*z**2 + 2*z + 2. Suppose -3*n - 20 = 2*n. What is the units digit of l(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -167507, -670068, -1507671, -2680316, -4188003?\n\"Answer: -167521*u**2 + 2*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*u + 27*u - 25*u + 176*u - 36*u + 28*u.\nAnswer: 209*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, a: 13}. Give prob of sequence aa.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/21 + 34*f\/7 + 264.\nAnswer: -2*(f - 84)*(f + 33)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 196623.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 2762?\nAnswer: 27620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1718*j - 9699*j - 6222*j.\nAnswer: -14203*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8606101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 370814 and 44617944.\nAnswer: 1650863928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4326, 8609, 12890, 17169, 21446, 25721?\nAnswer: 29994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1292 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, j: 4, z: 2, a: 1, n: 1}. What is prob of sequence anz?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -4*f + f + 9, 5*d - 3 = -4*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8256.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 - -59 - ((-7 - -5) + -65).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100011 (base 2) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/12731238 and 87\/435256?\nAnswer: 50924952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -102 + 68. Let y = 18 + h. Let c be 14\/(-4)*32\/y. Solve c + 1 = v + 2*q, -2*v = -5*q + 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 19 + 22 + -24 + -34 + 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 621, 2126, 5073, 9948, 17237, 27426, 41001?\nAnswer: 58448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 84, -4, -1800, 5 in decreasing order.\nAnswer: 84, 5, -4, -1800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 471 and 11932?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -1\/2*q**2 + q + 27. Let i(x) = -x + 2. Determine 4*c(g) - 3*i(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-17308)\/51924)\/((3\/(-18))\/((-4)\/(-54))).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (184\/64 - 2)*(-10)\/(-35). Determine y, given that 1\/4*y**2 + 0*y - m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 39935*m**2. Let k(h) = h. Calculate k(j(v)).\nAnswer: 39935*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, r: 3}. Give prob of picking 1 r and 1 t.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -2*c - 64, d + 0*d + 5*c + 30 = 0. Is -188*5*5\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28 + -39. Let s be 14\/198 + 2\/z. Let k = 11.8 - 13.8. Which is the third biggest value?  (a) k  (b) 4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - (5 + (sqrt(171) - (sqrt(171) + -2)))) + 2 + (sqrt(304) - sqrt(19))*2 + 4)**2.\nAnswer: -18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7882505*o**5 + 5340999*o**2 wrt o.\nAnswer: -472950300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 1 = 0, -6*s + m = -5*s - 54. Suppose -3*u - 11 = s. Let x be u\/10 + (-2)\/(-10). Sort -3, -5, x in decreasing order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 80*g**2 + 4*g. Let t(n) = n**2 - n. Let d(a) = b(a) + 4*t(a). Let l(m) be the second derivative of -m**3\/3 + m - 66. Calculate l(d(w)).\nAnswer: -168*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 PM and 6:37 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -271 divided by -1\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20529, 82275, 185183, 329247, 514461, 740819, 1008315, 1316943?\nAnswer: 1666697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5954, 11915, 17878, 23843, 29810, 35779?\n\"Answer: p**2 + 5958*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 27*i**2. Let f(u) be the second derivative of -5*u**3\/2 + 261*u. Calculate f(o(h)).\nAnswer: -405*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 + (-10 + 5 - -13 - -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-20 + 22 - 18)*(-2 - 3 + 3)*(1 + r - 1 + 0*r - 4*r + 5*r + (0*r + 2*r - 4*r)*(6 - 1 - 4) - r + 2*r - 3*r)*(-3 + 1 - 4) as u + n*r and give n.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 91\/14*1)\/((-5)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m. Let x(n) = 2*n + 42. Let v(g) = -3*g - 40. Let f be (-12)\/9*(-2 + 3 - -2). Let l(k) = f*x(k) - 3*v(k). Give i(l(r)).\nAnswer: -r + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (0 - -14) - (14 + 11)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 8:57 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 0 + 3)*(-3792 + 1873 - 64179*q + 1919).\nAnswer: 128358*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 2:16 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -156\/35 + 7682\/1645. Let y = 154284 + -108769976\/705. Let q = u - y. What is the nearest to 0 in 0.4, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05, 0.2, -0.18, 2, -1, -99 in descending order.\nAnswer: 2, 0.2, 0.05, -0.18, -1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 7 = x + 4*x, v = 3*x. Suppose 0 = 2*j + o - 1, 3*j - o + 4*o = -v. Let b(u) = -12*u + u**2 + 13*u + 2*u**2 - 5*u**j. What is b(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11213717 is divided by 9376.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 285895, 571613, 857163, 1142551, 1427783?\nAnswer: 1712865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3466888483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 105 less than -4.6463?\nAnswer: -109.6463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 27 = -u + 4*q, 0 = 5*q + 25. Let s be (u\/(-8) + 3)*2 + 3. Solve 3*m + 15 = 0, 31 = -2*c - s*m + m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 8083065404 and -28.\nAnswer: 8083065376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 150434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 561.6027 millilitres in litres?\nAnswer: 0.5616027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -38 + d**4 + 12*d**2 - 5*d**3 - 8*d**2 + 0*d**4 + 39 in the form n*d**2 + b*d + p*d**4 + i + w*d**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**2. Let l(a) = -a**2 + 1. Let w(u) = -7*u**2 + 6. Let s(z) = -6*l(z) + w(z). What is k(s(m))?\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8) + 3 + 0.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9844*-0.113.\nAnswer: -1112.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 26\/156 + (-17)\/(-6). Solve 5*v + 3 = -2*n, -v + 8*n + 21 = h*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjpjjjpjjjj. What is prob of sequence jpj?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w. Let y(p) = -3 + 8 - 4. Let u(q) = 14*q**2 - 42. Let t(i) = -u(i) - 42*y(i). Calculate t(d(z)).\nAnswer: -224*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 13\/210*g**7 - 3*g**3 - 6*g**2 + 0*g**4 + 0*g + 0 + 0*g**6 + 0*g**5. What is the derivative of j(z) wrt z?\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103954301.\nAnswer: 11, 19, 497389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 383236.7 microseconds to seconds.\nAnswer: 0.3832367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.08, -2, 0.4 in descending order.\nAnswer: 4, 0.4, -0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a - 10. Let f be x(12). Suppose -f*u - 41 = -5*l, -l - 4*u + 2*u + 13 = 0. Calculate the remainder when 43 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/17565 and -139\/14052.\nAnswer: 70260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = -5*n + 30*j, 4*j = 39*n - 38*n + 12. Let f be 173\/(-38) + (-1)\/2. Do f and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t + 1. Let p(r) = -7*r + 5. Let c(i) = p(i) - 5*z(i). Suppose o + o = 4. Let v(f) = 0*f**2 + 10*f - 10*f - 2*f**o. Determine v(c(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(28\/16 - 2) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 139*a**3\/3 + 11539*a**2\/3 - 11510*a\/3 - 56 = 0?\nAnswer: -84, -2\/139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + z**2 + z - 1. Let x = 227 + -224. Let t be (x + -1)\/(8\/4). Let p(i) = 3*i**3 - 2*i**2 - 2*i + 2. Determine t*p(y) + 2*g(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*n - 17*n - 10*n - 10*n. Factor 0*k - 2\/15*k**2 + n.\nAnswer: -2*k**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -4*v**3 - 180*v**2 + 3598*v - 84. Give j(-60).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 4*k**2 - 5*k + 30. Let r be l(8). Suppose 66 = 3*u - r. Calculate the remainder when u is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 625136 is divided by 39068?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 6*r - 10. Suppose -8*w + r*w = -1113. Let q = -180 + w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13c833b (base 13) in base 9?\nAnswer: 12764085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -28321 and -279.5.\nAnswer: -28600.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 515542 - -1306?\nAnswer: 516848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2346, 2320, 2284, 2238?\n\"Answer: -5*x**2 - 11*x + 2362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + j - 121 = -18, v - j - 101 = 0. Let w = v + -93. Let i be 3 - ((0 - -3) + -18). Calculate the highest common factor of w and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 5, -4, -5 in descending order.\nAnswer: 5, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 195 + -80. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -5, 4*p - 2*w = w + 158173. Suppose -5*k + i - 2*i + p = 0, 31637 = 4*k - i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 PM and 12:59 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1481042665.6 to the nearest 100000.\nAnswer: -1481000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.7 and 0.0522.\nAnswer: 0.03654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/477, -11, 1, 0.3 in ascending order.\nAnswer: -11, -4\/477, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 67106 and 356.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*j + 8*j**2 - 27*j**2 + 0*j)*(2*j - 3*j + 4*j) as r + h*j**3 + c*j**2 + l*j and give h.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/180 and -10\/1119.\nAnswer: 67140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -273, -545, -817, -1089, -1361?\nAnswer: -1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 966, 829, 600, 279, -134, -639?\n\"Answer: -46*t**2 + t + 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (237\/(-7) - -46) + -11?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2784 divided by -696.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2\/5*j**4 + 0 + 6\/5*j**3 + 6\/5*j**2 + 2\/5*j = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*k - 21*k + 306 = -288 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -5*b + 1\/2*b**2 + 3. Suppose 0*c = 3*c. Determine j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1903, -3803, -5723, -7675, -9671?\nAnswer: -11723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 154267\/12 + -12863. Let c = -111852155\/16 + 6993784. Let b = c - 3026. Find the common denominator of y and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*f - 66 = -4*b - 0*f - 3*f, b = f + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.12102 times 2.0515\nAnswer: -0.24827253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 0, 0 = 3*k + k + 4*z - 184. Suppose 5 = -l, -5*l - 43 - 62 = -5*m. Calculate the remainder when k is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -5*z + 67. Let a be y(13). Let g(m) = -2*m - 317*m**2 + 304*m**2 + a*m. Let h(x) = -10*x**2. Calculate g(h(u)).\nAnswer: -1300*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/8*-2 - (-12857)\/92. Suppose -u - 6*u = f. Let r be -3 + (-24)\/u*5. Does r = 34\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.38927 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wdddwwd. What is prob of picking 2 w and 1 d?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 + 31. Let z = -32 + n. Is 26 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 32 - -1424802?\nAnswer: 1424834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*j**2 + 11*j**2 - 56*j**2.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**2 - 740 + 740 - 2*m**2 + 30*m.\nAnswer: -m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 479*i + 8570*i**3 - 8572*i**3 + 38*i + i**2 - 3*i**2 as v*i**2 + u + j*i + w*i**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -12*-18934\nAnswer: 227208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -2, 1, 0 in ascending order.\nAnswer: -2, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.15, 2\/19, -0.3, 1, 1\/7 in ascending order.\nAnswer: -0.3, 2\/19, 1\/7, 0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0338286 from -95.853529.\nAnswer: -95.8873576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*c - 20*c + 10. Let z(p) = -p**2 - 3*p + 4. Let b be z(-4). Let q = c - b. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -3\/11629006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 3*l - 3*i = -41632, 10*i = -5*l + 104075. What are the prime factors of l?\nAnswer: 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -8*35\/2*-1 is divided by (-1838)\/2757 + (219\/(-18))\/((-1)\/4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -641 - 697. Let o be (0 - 5\/(-10))*n. Suppose -7*y = -4*i - 2*y + 239, 3*i - o = -5*y. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*n - 330 + 30. Let y be -2 + 0 - (-94)\/n. Are y and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 - -19. Suppose r = -3*a - 0*a + 17, r + 15 = l*a. Suppose r*d = -0*d + 325. Calculate the remainder when d is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-132)\/990)\/(((-4)\/(-5))\/((-28)\/(-1050)*9))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2068370 * 39\nAnswer: -80666430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 6 + 9 + 241*l**2.\nAnswer: 241*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 2*q - 5*h, 0 = 5*q + 5*h - 1 - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 5114101.\nAnswer: 5114106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 19*s - 34. Give z(14).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a + 13 = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/4 of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-12)*-1)\/((-156)\/(-728))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1628 + -73?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**2\/5 + 6784*k\/5 - 1312632\/5 = 0 for k.\nAnswer: 206, 3186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 0 = d. Let a(b) = d + 3*b**2 - 1. Let g(x) be the third derivative of x**5\/60 + 3*x**2. Calculate g(a(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = -n + q, 2*n = -q - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6 + 3)*(-50)\/6. Let h = 25 - 17. Suppose 2*a - 23 = -n, -a = -n - h + 1. Calculate the greatest common divisor of f and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 288710 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m - 463 - 461 + 924.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - -5) + -2 - 2. Let p(z) = 2*z - 3*z + h*z. Let s(n) = n + 1. Let m(r) = -3*r**2 + 2*r + 2. Let o(b) = -m(b) + 2*s(b). Calculate o(p(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 874 + 125854010715?\nAnswer: 125854011589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -3798*f + 3330850. Determine c(877).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 655841354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -241*o**3 - 5*o**2 + o + 5. Let n be t(-5). What is n rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 2*a**5\/7 + 144*a**4\/7 + 682*a**3\/7 + 796*a**2\/7 - 552*a\/7 - 1072\/7 = 0.\nAnswer: -67, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 136 and 0.0251.\nAnswer: 3.4136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-5341)\/(-654) + -4 - (-1)\/3\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3090899604 to the nearest integer?\nAnswer: 55596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 3*p - 42 = 7*p, -5*g = -4*p - 130. Let a = 59 - -7. Suppose -2*y + y + a = 0. What is the greatest common factor of y and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 846395.\nAnswer: -338558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-5)\/(-2)*176\/110 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, w: 2, p: 1, t: 3, x: 1}. Give prob of picking 1 p and 2 f.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = l + 15. Suppose 4*o = l*o - 115. Suppose 5*c - o = -40. What is the highest common divisor of 105 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 857*v**5\/10 - v**4\/2 - v**3\/2 + 5*v**2 + 8*v. Let k be 6\/4 - (1 + 33\/(-6)). Let a be u(k). Round a to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -77252 + -3?\nAnswer: -77255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 9, q: 9}. What is prob of sequence qrqr?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 0.722534\nAnswer: -1.445068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67604744 to the nearest integer?\nAnswer: 8222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31.294 + -32. Let l = 0.111 + 0.013. Let v = t - l. Round v to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 561 divided by -1\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 + 13*n - 16. Let v be y(11). Suppose v*i = 8*i. Suppose i = -5*t + t. Solve -4*w = -t*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 57*a**2 + 6 - 155*a**2 + 51*a**2 + 35*a**2 in the form d*a + k + w*a**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 6*f + 2*l + 14, -4*l - 8 = 0. Suppose 5*y - 6*y + 18 = 0. Calculate the remainder when f + 3 - (2 - 36) is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.93 + 0.93984. Let j = 2 - 2.01. Let b = w + j. What is b rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 0.3, -0.09, 6, -5, -328?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 198789 and 421314.\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -3*o - 1. Suppose j + 9 + 1 = 2*w, -2*w + 18 = -3*j. What is the remainder when i(j) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 7. Let z(b) = -b**2 - 4*b + 5. Let r be z(-5). What is the remainder when 13 is divided by p(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 - 4*w + 4. Let m(g) = g + 10. Let o be m(-7). Let j be i(o). Is ((-168)\/20)\/((-2)\/j) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 140 - 140.016. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10.13 and 13.\nAnswer: 2.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -57\/10  (b) 2  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/3 or 35?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of 1 + 0*w**2 + 4*w - 25\/3*w**3. Differentiate d(s) wrt s.\nAnswer: -50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - (-38)\/4)*224\/63.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 - 4 - 4)*(4 + 1 - 4) - 6 + 0 + 4)*(11 - 12 - 9*y - y).\nAnswer: 150*y + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppx when four letters picked without replacement from {w: 7, p: 10, x: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92 - 83061909364.\nAnswer: -83061909272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -14. Let c be 3218 - 3 - h - -3. Suppose 0 = 5*z - 2*j + 2460, -c + 773 = 5*z + 2*j. What is z rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65293.4 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1496*v**2 - 1609*v**2 - 1290*v**2 - 6312*v**2 to the form k*v**2 + c*v + i and give k.\nAnswer: -10707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 3*q**2 + 10*q**3 + 4*q - 9*q**3 - 2*q - q to the form a*q + g*q**2 + u + i*q**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -173*h*p*r**2 - 8*h*r**3 - h*r**2 + h + 16*p*r**3 + 4 wrt p?\nAnswer: -173*h*r**2 + 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 109267333 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 0) + 9\/7. Let b = -50417 - -50419. Factor -6\/7*t - c + 3\/7*t**b.\nAnswer: 3*(t - 3)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 - 24. Suppose -5*k = -3*y, 2*k + m = 2*y - 0*y. Suppose -2*r + y*i = -17, 4*r = i - 3*i + 70. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5698553 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*r**3 + 3327585*r**2 + 2218405*r + 369735 = 0.\nAnswer: -1\/3, 73947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*m - 39 = 30. Solve m*o - 3 = -3*q, 2*q + q = -o - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 267.9746 + -268. Let q = 27.2746 - t. Is -1\/3 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((18\/5)\/1)\/(0 - (-3)\/10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 2204\nAnswer: 220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -360 + 362. Which is the second smallest value?  (a) l  (b) -23  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from hfhhhhhhhhhfhfhfhf?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 1\/49622 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 3*c**2 - 2*c - 3. Let g be l(-3). Suppose -2*t - 3 = -g*t. Let -4\/5*h**t + 0*h**2 + 6\/5*h**4 + 0 + 0*h = 0. What is h?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -2*l - 4. What is k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 512848142*k**3*t**3 + k**2 + 5*k*t**3 + 4309184*t**2 wrt k?\nAnswer: 3077088852*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -892698*b - 902232*b + 1794930*b - 23*b**2.\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17429 or 17025?\nAnswer: 17025","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Express -13*g - g + 704*g + 120*g + 22*g in the form f*g + a and give f.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 359*n + 3898*n + 2273*n - 306910 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 2. Suppose 5*a = -0*a - x*h + 4460, 0 = -a + h + 882. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 7*b**2 + 4*b + 5. Let m be w(-2). Suppose -2*v = a + 2*v - m, -a + 15 = -v. Solve -4*r = -1 + a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2 + 30664360*x - 58768935888100.\nAnswer: -4*(x - 3833045)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the third derivative of t**6\/1080 - t**5\/360 + 29*t**3\/6 - 11*t**2 - 2. Let c(a) be the first derivative of d(a). What is j in c(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16887 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 27070483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1104137057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*d + 5*a + 165, 37*a = -5*d + 23*a + 24*a + 195 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**2 + 1425*d - 93730.\nAnswer: -5*(d - 182)*(d - 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**6\/u)\/u)**23 assuming u is positive.\nAnswer: u**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 3*t**2 - 6*t - 3. Let f be d(3). Let s be (-4 + 54\/12)*f. Solve -s = 2*i - 6*g + 3*g, -2*g = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - (8 + -21)) + (1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -6*d - 10. Let s be c(-5). Suppose 0 = -3*h + s + 37. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -411000*i**3 - 7*i**2 + 64*i**2 - 57*i**2 + 411018*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*f - 61*f + 7 = 0. Calculate the remainder when 34 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of p**3\/6 - 6*p**2 + 3*p. Let k(t) = -t + 11. Let f(s) = -4*k(s) - 3*r(s). Let w be f(9). Solve -2*c - 7 = w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 147800 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1368 = -10*b - 1362. Let j = -155 - b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 12*k**4\/7 - 206*k**3\/7 - 2122*k**2\/7 - 5524*k\/7 - 4400\/7 = 0.\nAnswer: -4, -2, -11\/6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (5 - 4)\/((-1)\/(-9)). What is the highest common divisor of g and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -1. Suppose -3*w - 23 = -5*s, -4*s = -r*s + 5*w - 11. Solve -2*g = s*c + 26, c - 12 = 4*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 + -1. Let p(g) = 3*g - 61. Let h(j) = j - 28. Let q(r) = 5*h(r) - 2*p(r). Let u be q(t). What is the second biggest value in 3, u, -1.8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 130 + -54. Suppose -9*p + 19 = -8*p. What is the greatest common divisor of r and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.043 + 101.043. Let p = t + -101.5. What is the third smallest value in -1\/13, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 - 2*r - 4. Let q = -331 - -327. What is w(q)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1009 less than -17076521?\nAnswer: -17075512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 5 - 5*r + 4*r - 4*r - 2*r + (-3 + 0 + 1)*(4*r - 3*r + r) + 4*r + 0*r - 6*r + 0 + 2*r + 0 + 0*r + r + r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4a - 18c28b?\nAnswer: -18c2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -10337*z + 9944242. What is m(962)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*p**3 - 11*p**3 + 11*p**3.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 58899*i**3*l**3 - i**3*l**2 - 5*i**3*l + 40*i*l - 8*l**2 wrt l.\nAnswer: 353394*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 535685992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 31.89382*0.5\nAnswer: 15.94691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + (-1 - -180)\/1. Let p be o\/4*4\/2. Suppose 0 = 3*i + 12, -4*y - 4*i + p = y. Calculate the remainder when 40 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f - 2. Let m = 169 - 114. Suppose 8*n - 3*n = -5*s + m, 3*n + 3 = 3*s. Let q be o(s). Solve -u + 4*k + 0 = 1, 0 = -q*u - k - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3 - 1398*b**2 - 62590*b - 61194.\nAnswer: -2*(b + 1)*(b + 47)*(b + 651)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 102 and 8314734?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 - 207?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 91884001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/206219 and 47\/91.\nAnswer: 1443533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -96.346.\nAnswer: -38.5384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/9, 21.8838, -4 in ascending order.\nAnswer: -4, -1\/9, 21.8838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2888292\/29 at most as big as 99596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -522638636.1 rounded to the nearest 10000?\nAnswer: -522640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4\/3 - 1208*a**3 - 3276088*a**2\/3 + 4382624*a - 13162384\/3.\nAnswer: -(a - 2)**2*(a + 1814)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 5*b + 13 = 3*b, -3*i = 3*b + 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/9 - (228\/54 - 4). Let n(k) = 3*k**2 + 14*k - 18. Let j be n(0). Sort d, j, -4 in ascending order.\nAnswer: j, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sgxn when four letters picked without replacement from {g: 2, x: 1, s: 2, n: 6}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/1486 and -95\/6736?\nAnswer: 5004848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 337974 and 61173294?\nAnswer: 61173294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58003 is divided by 47660.\nAnswer: 10343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 9:17 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3296\/265 + 2\/53. Let p = z - -109\/10. Which is the closest to -5\/6?  (a) -1  (b) 0.1  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {p: 3, x: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3607626 (base 8) to base 2.\nAnswer: 11110000111110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -22. Let s be -2*(23\/(-42) + 11\/33). Which is the nearest to 1\/2?  (a) s  (b) 1  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -28*b - 3. Let t(n) = -n**2 + 4*n + 4. Let u = -35 + 40. Let m be t(u). What are the prime factors of z(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 + 50. Suppose -p + w = 4*p. Is (-2)\/p - (-474)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*r**3*z**3 - 26*r**3*z**2 - 13*r + 6*z**3 wrt r?\nAnswer: -30*r*z**3 - 156*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -3*y + 80. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + sqrt(12)*-1 + sqrt(3))**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -54*k**3 - 2*k**2 + 13*k + 8. Is a(-4) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + (-6)\/4*(-10)\/5. Solve -a*d - h = -8, 4*d = 2*h + h + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 838463 less than -3652?\nAnswer: -842115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 172\/207 - 14\/23. What is v in -k*v**2 + 10\/9*v - 4\/3 = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1129*f - 1086*f - 115025. Is 2673 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3725360 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -1001111001101101111011?\nAnswer: -1001111001101101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*z + 18*i = -103*z - 110, -3*z - 10 = 5*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*v**2 - 1131*v**3 + 3*v**4 - 4 - 4*v**2 - 2*v + 1129*v**3 to n*v**3 + p*v + j*v**4 + k + c*v**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -3389\/187627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**9\/o**(-2\/23))\/(o**(-3\/7)*o**(-7)*o) assuming o is positive.\nAnswer: o**(2498\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 130 + -43. Let i = m - 63. Suppose -p = -5*l + i, 4*p + 17 = -4*l + 41. Solve 5*z - z = 2*h + 18, -l*z = -3*h - 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.306 - -0.006. Let c = n + 37.6. Let t = 38 - c. Round t to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -5*j + 75. Let r be u(15). Solve 0*q - 2*q = 3*k - 8, r = 5*k - 4*q + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 v when four letters picked without replacement from {g: 2, v: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 14, -444, 2, 5 in decreasing order.\nAnswer: 14, 5, 3, 2, -1, -444","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of 121*o**7\/42 - 653*o**4\/6 + 2612*o**2. What is the second derivative of y(s) wrt s?\nAnswer: 7260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -8*k**2. Let z = 6 - 0. Let s(a) = -2*a + z*a - 2*a. Determine b(s(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*z = -1282, -5*x + 5*z = 10*z - 6370. Calculate the remainder when x is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -12815.\nAnswer: 64075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + 6 + -1 + 1. Suppose -t = b*w + 16, -4*t = w - 4*w - 31. Suppose 5*r - 3*a = 293, t*r + 4*a + 60 = 288. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3*(-2*sqrt(1008) - sqrt(1008)) + sqrt(1008))**2*5.\nAnswer: -322560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1  (b) -2  (c) 6\/11  (d) -0.036\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(2\/(-2)*34))\/((-76)\/(-304))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 3*h, 3*h - 130*f + 128*f + 9 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q**2 - 2*q**2 + 7*q**2 + (q + 5*q - 5*q)*(-q - 2*q + 4*q) to the form y + i*q + a*q**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 14850910 to the power of 1\/2, to the nearest integer?\nAnswer: 3854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i + 2*i - i)*(0*i**3 + 0*i**3 + i**3) + (-i**2 + i**2 - i**4)*(1 + 3 - 1) + 23*i**4 - 10*i**4 + 44*i**4.\nAnswer: 52*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 2*y + 12. Suppose -y + 3 = -2*o. Let a be 1\/(-4) - (-270)\/120. Solve a*z = -7 + o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 12:57 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 0 + 0 - i - i**2. Let g(w) = 5*w - 8 + 4 + w - 1 + 4*w**2. Let d(a) = -g(a) - 6*q(a). Differentiate d(h) with respect to h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118483151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 820\/180*-5 - 6\/27?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 289213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1260 and 1233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 119129 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 20*i + 46. Let v(g) = -25*g + 2934. Let h be v(118). Give x(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000421 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3238 - -3257. Let a(o) = -27*o - 2. Let m be a(-4). Calculate the remainder when 1*(-3)\/((-6)\/m) is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2562)\/549*2*(-9)\/(-10)?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3936*t + 48960 = -2406*t for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*t - p + 258 = -5*p, t - 10*p - 56 = -4*t - 8*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-6) - ((-88)\/12 - -2). Suppose 3641 - 16145 = h*o - 4*r, 5*o + 12497 = -3*r. What is o rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from twhyvyt. Give prob of sequence yytv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 5988 * 225\nAnswer: 1347300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 128.3925\nAnswer: 513.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1))**(-40))**(2\/9) assuming g is positive.\nAnswer: g**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5560889591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -47*i**2. Let j(l) = 509188*l. Give j(t(k)).\nAnswer: -23931836*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -c (base 16) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1055 - 424. Suppose -3*l + d - 5*d + u = 0, l - 202 = -3*d. Calculate the remainder when 4*(-3 - l\/(-4)) + 4 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 70?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 - ((6 - 5) + 1). Which is the nearest to 2\/7?  (a) 0.2  (b) u  (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g**(-1\/12)*g)\/g*(g*g\/(g*g\/g**21)*g)\/g*(g*g*g**(-3\/5))\/g*g\/g**(-1\/9))**(-41) assuming g is positive.\nAnswer: g**(-172897\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142*j**2 - 4*j - 4*j - 28*j**3 + 26*j**3 + 4*j + 53*j**3.\nAnswer: 51*j**3 - 142*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*(h + 4*h - 3*h)*(-6 + 8 + 6).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -7. Suppose -m*u - 5*x = -45, 0*x - 5*x + 25 = u. Suppose -8 = u*d - d. Is -2 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2969 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42 - -48. Let f = 147 - i. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141 is divided by 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0074171373 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.012753841 rounded to 5 decimal places?\nAnswer: 0.01275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 17*a - 15 = 0. Suppose a*m + 17482900 = -2*j + 1055674, 16427226 = -3*m + 3*j. Let x = -2475742 - m. What is x rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 178*t - 1. Let r(f) = 356*f - 1. Let d(l) = 13*n(l) - 6*r(l). Is d(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4049 = -26*b + 13111. Suppose -b = -48*o + 45*o. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320)*-2 + (sqrt(20) - sqrt(180))\/sqrt(4) + (sqrt(45) - (0 + sqrt(45)) - sqrt(45) - sqrt(20)*2))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-34)*-3*8\/6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 16*y - 33 - 21 = 0, 5*y + 26 = 3*u. Factor -u*i + 12\/5 + 2\/5*i**2.\nAnswer: 2*(i - 3)*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -177 by 59.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8013213*f**3*i - 57237964*f**3 - f**2*i + i**2 wrt i?\nAnswer: -8013213*f**3 - f**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41533, 166110, 373739, 664420, 1038153, 1494938, 2034775?\nAnswer: 2657664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 30*g. Let p be k(-1). Let x = p - -65. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-69*f**3 + 152*f**3 - 179*f**3)*(-18 - 4 - 5).\nAnswer: 2592*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/6 - (-4)\/(-24). Let y(s) = t*s**2 - 10 + 5*s + s + s**2. Give y(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10880\/56)\/16 - 12.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.5896 + 1.58960051907. Round h to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2859 divided by 32145.\nAnswer: 953\/10715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m**4 + 0*m**4 - 5*m**4 + (5*m**2 - 3*m**2 - 4*m**2)*(3*m**2 - m**2 + 0*m**2) - 32*m**4 + 58*m**4 + 53*m**4.\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1324759081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**5\/4 + 9*w**4 + 45*w**3\/2 + 21*w**2 + 27*w\/4.\nAnswer: 3*w*(w + 1)**3*(w + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 346*n**6 - 3*n**4 - 4*n**2 - 197. Let j(l) = -692*l**6 + 7*l**4 + 9*l**2 + 396. Let w(h) = -3*j(h) - 7*r(h). Find the third derivative of w(g) wrt g.\nAnswer: -41520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30, -74, -148, -252?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164*f + 880540 + 901482 = -47070. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 95*k**2 - 6*k - 596 with respect to k.\nAnswer: 190*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13c9 (base 15) in base 8?\nAnswer: -10217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 36.7 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-36)*9*1*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -3*w - 28. Let x(z) = 2*z. Determine x(k(m)).\nAnswer: -6*m - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1695635 = 16*q - 789629. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -3\/4, -1.1, -56, -1, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 234803411*f**3 + 98481758*f**2.\nAnswer: 1408820466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 6:14 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*g - 344 + g + 692 - 348 + 8*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2657630067?\nAnswer: 3, 127, 6975407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -12*t + 107. Let s(m) = -16*m + 156. Let k(u) = -8*j(u) + 5*s(u). What is k(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.178 - -9.278. Let r = w - 135.2. Let h = r - -133. What is h rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8 + 6)\/(2\/(-5)). Suppose -5*b - 40 = -3*i - 2*i, 0 = -b - z*i + 16. Let a = -316 + 309. Put a, b, 4 in decreasing order.\nAnswer: 4, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1285 - -1289. What is the closest to 2\/3 in o, 256, -0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -444*d**3 + 443*d**3 - 26*d**2 + 30*d**2.\nAnswer: -d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 0. Suppose 7 = -q*f + 13. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 107*h + 31*h**2 - 31 + 38 - 114*h. Let i(s) = 16*s**2 - 3*s + 3. What is 3*a(u) - 7*i(u)?\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 + 6*p**2 - 14*p + 10. Let u be c(-7). Suppose 56 = 5*m - u. Calculate the remainder when 85 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -10001111100110110000111110010?\nAnswer: -10001111100110110000111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*x - 119 = 26*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*o = 55*o - 280. Calculate the greatest common factor of 112 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12.5 - -11.5. Let q be (-1)\/(-21) - (-1)\/(-3). Let p = -1 - -1. Which is the nearest to p?  (a) q  (b) d  (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1413 from 0.3.\nAnswer: -1412.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*t - 33*t = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 3*q - 5. Let y(h) = h**2 + 1. Give w(d) + 3*y(d).\nAnswer: 3*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9690*i**4 + 51*i**2 - 15*i**2 + 9687*i**4 - 3*i**5 + 24*i**3.\nAnswer: -3*i**2*(i - 3)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 5*i**2. Let d = -8 - -15. Let b(a) = d*a - 6*a**2 - 7*a. What is 6*b(m) + 7*f(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-9) + 68\/18 + 1. Suppose 3*c - 6 = -i, -u*i + 4*c + 101 = 33. What is the second derivative of i*x + 11*x**2 - 2*x**2 - 8*x + 14*x wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26 and (1\/2)\/((-2)\/(-88)).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**2 - 4*x + 6. Suppose -3*v + 34 = 4*s - 5*v, 3*v + 30 = 3*s. Let c(w) = 5*w**2 + 8*w - 13. Let z(o) = s*f(o) + 3*c(o). Determine z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -97*p + 117*p - 2 - 65*p - p - p + 0*p + (-4 + 1 + 1)*(3*p - 3*p + p) + 3*p - 4*p + 0*p + p + 5*p + 6*p.\nAnswer: -38*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22517 and 2851471?\nAnswer: 31366181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**8*z**(2\/3)*z*(z**0\/z)**(3\/2) assuming z is positive.\nAnswer: z**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 460.2112 - 460. Round v to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -3*w - 6. Let r be p(-3). Suppose 6*t - 27 = r*t. Factor t*c - c**2 + 0*c + 21 - 15 + 4*c**2.\nAnswer: 3*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 691, 2\/7, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21500, 21533, 21542, 21515, 21440, 21305, 21098, 20807?\nAnswer: 20420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 296686 is divided by 10977.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-658)\/348 + 73\/438. Do -1 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(-2) - (13 - 1). Let p(c) = c**3 - c - 13. Let t be p(0). Which is bigger: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2200 and 0.0096?\nAnswer: -21.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2 + (sqrt(1872) + -4 - sqrt(1872)) + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 18825.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 292\/209 - 30\/19. Let j be (11 + (-2873)\/255)*(-126)\/56. What is the fourth biggest value in -0.4, 5, m, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - 4*s + 2. Let o be -2*-5*1\/2. Let r be d(o). Let k = 7 + r. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 54 and 194646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9076 times 1.79522?\nAnswer: -16293.41672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 9:55 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) -25  (c) 1  (d) 18  (e) 0.047\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3033095, -3033097, -3033099, -3033101, -3033103, -3033105?\n\"Answer: -2*d - 3033093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*w = 5*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b. Let k(m) = 2*m - 2. Let l be k(2). Let u(i) = 2*i**2 - 23*i**l - 6*i**2 - 3 - 7*i - 17*i. Let g(p) = 6*s(p) - u(p). Solve g(t) = 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110100 (base 2) to base 8.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-80)\/(-400)*(-20)\/42. Is c less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of a**4\/4 + 8*a**3\/3 + 2*a - 5. What is the remainder when i(-7) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 6*u**2 + 10*u + 4. Let v(t) = t**2 + t - 1. Let f(j) = -k(j) + 5*v(j). Let i(d) = d**2 - 127. Let l be i(-11). Determine f(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14818\/248 - 49) + 14\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -3*c**4\/2 - 510147*c**3 - 12753018*c**2 - 95391021*c - 370339497\/2 = 0.\nAnswer: -340073, -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -38322720 rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/1 - (0 - 3). Let c be 0*(w\/2)\/1. Suppose c = -5*f + 10*f - 30. Solve -2*x + f = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) -2\/9  (c) 2  (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 + 5 + z)*(5 - 3 - 4) + 0*z - z + 2*z + 4*z - 5*z + 0*z)*(-5 + 0 + 4).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -51.975?\nAnswer: 20.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of c**6\/360 - 13*c**4\/12 + 16*c**2 - 2*c. Let j(t) be the second derivative of w(t). Let k(r) = -73*r - 1. Give j(k(a)).\nAnswer: -146*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/3)*m)\/m)**(-2\/35)*m**(-2\/9)*m**(-2\/11)*(m**(-1\/4))**3*(m\/(((m**(-2\/3)\/m)\/m)\/m)*m)\/m*m*m*m**6 assuming m is positive.\nAnswer: m**(159829\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 599556 less than 1.401?\nAnswer: -599554.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1355 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -33?  (a) -3  (b) 0  (c) -1\/3  (d) 57  (e) 0.2  (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 9 = -5*u. Suppose -u*f - 56 = -198. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/22 + (-6)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1436, -1423, -1420, -1433, -1468, -1531, -1628, -1765?\n\"Answer: -o**3 + o**2 + 17*o - 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/4  (b) 3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 4*l + 79. Let b be c(-19). Suppose 0 = g + b*v - 1672, -3*g + 11*v = 6*v - 4974. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (50\/15)\/10 + 5 - 6. What is the closest to 0.1 in o, -6, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-6)*51\/(-8 + 25)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154*n - 805*n + 38910055 = 34*n. List the prime factors of n.\nAnswer: 43, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/99485 and -73\/1154026.\nAnswer: 5770130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*p + 8 + 6 + 35*p**3 - 2 - 2*p**2 - p**2 - 32*p**3.\nAnswer: 3*(p - 2)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/352 and 7\/316320?\nAnswer: 3479520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47 - 26. Let b = g + -20. Let k = -189 - -193. Solve 4*j - b - 11 = 4*q, 4*j = k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 19*s**2 - 2*s - 3. Let j be x(-2). Let y be (0 - -4) + 4 + -1. What is the highest common factor of y and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 488856 and 6?\nAnswer: 488856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 870.76 - 857. Let y = q + 0.24. Let m = 4.8 + y. What is m rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 160 - 159. Is 12 a factor of 7 + -7 + 648\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2232 is divided by 448\/3 - 26*23\/1794?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/112000 and 41\/35840?\nAnswer: 896000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4179 + -2835. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43585, 23, -4 in descending order.\nAnswer: 23, -4, -43585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 8*c**4 - 36*c**3 - 28*c**2 + 16*c - 4. Let x(p) = 33*p**4 - 143*p**3 - 111*p**2 + 65*p - 18. Let u(o) = 9*n(o) - 2*x(o). Factor u(a).\nAnswer: 2*a*(a - 7)*(a + 1)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -0*r + 5*c - 25, -c + 5 = -5*r. Suppose 0*w + 5*w + 30 = r. Let g(m) = 7*m**2 - 6*m. Let a(l) = -6*l + 0*l + 6*l**2 + l. Determine w*a(v) + 5*g(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 14 = -h, -5*n = 4*h - 0*h + 23. Let l be h*-1*(-5)\/10. Suppose m = 2*m - 3*u + 12, -2*m = -u + 9. Sort m, l, -2, -5 in ascending order.\nAnswer: -5, m, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and -14341771.\nAnswer: -14341771.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 744055.\nAnswer: 5, 13, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 4*p - 10*p. Factor -4\/7*h - 6\/7*h**p + 0 + 8\/7*h**3 + 2\/7*h**2.\nAnswer: -2*h*(h - 1)**2*(3*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*h**3 - 49*h**3 + 27*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 - 3974*y - 3976.\nAnswer: 2*(y - 1988)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57701955?\nAnswer: 3, 5, 19, 293, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**4 + 14*g**2 - 12 + 0*g**4 + 5077*g - 5078*g + 2*g**3 as h + w*g**2 + d*g**4 + f*g**3 + k*g and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + -2512033?\nAnswer: -2512040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*w - 6. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k**2 + 20*k**2 - 7*k**2 - 4*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*u + 37 + 24 + 59 + 8 + 20*u to q + s*u and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 11 = -5*u, 3*y + 15 + 14 = -5*u. Suppose 0 = -5*m + n - 8, -5*n + 22 - 4 = -3*m. Sort 3, y, m.\nAnswer: y, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10581*l = -1212*l - 474206 - 209731 for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3888*q - 3 = -3888*q - z, 296*q = 5*z + 1761 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2140 by 8104.\nAnswer: 535\/2026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -13274504, -13274501, -13274498?\n\"Answer: 3*a - 13274507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/4 - ((4 - 2) + -5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i + 7. Suppose 0 = j - 67 - 27. Let p = j + -88. What is y(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 3) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 1848 = -4*o, 4*j = -o + 2*o + 1858. Let d = j - 264. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-310)\/(-1023))\/(8\/(-57)) and 89\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 + -6. Find the second derivative of -a*s**3 + s + 2*s**3 - 4*s wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34 + 53. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -100 - 71. Let y = -170.929 - w. Let q = y + 0.012. Round q to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**0\/x)**24\/(x\/(((x\/x**(7\/6))\/x)\/x)*x**1) assuming x is positive.\nAnswer: x**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 1. Let f be (v - 0)*(-3 - -1). What is the third derivative of 0*c**2 + 3*c**f + 2*c**6 + 0*c**2 + c**6 wrt c?\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (-12)\/120*0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121970 = -641*m + 639*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -2.7.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 139771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 9 - 12 = -3*m, 5*m - 5*v = 0. What is the derivative of -20*b + 20*b - 4 - m*b**3 wrt b?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -7*d. Let l = 3 + d. Solve l*s - 5*v = -24, -7*s + 2*s = -v + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llll when four letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4339 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1833, 1824, 1795, 1734, 1629?\n\"Answer: -2*o**3 + 2*o**2 - o + 1834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*r + 17 = 72 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*r - 10 - 46 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 218*y - 216*y - 1 + 4 + 2*y**3 in the form o*y**3 + m + j*y + b*y**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -91 - -77. Put 0.3, t, -2\/9 in descending order.\nAnswer: 0.3, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2505 + 2501. Let g = -1.3 + 0.3. What is the closest to g in f, 0.11, 0.3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 + (-6 - 2) - (7 - 10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -16*s**2 + 13*s + 73. Let l(c) = -11*c**2 + 9*c + 48. Let j(p) = 5*k(p) - 7*l(p). Differentiate j(z) with respect to z.\nAnswer: -6*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**3 - l**2 - l - 1. Let a(f) = 5*f**3 - 4*f**2 - 4*f + 2. Give -a(t) - 4*n(t).\nAnswer: 3*t**3 + 8*t**2 + 8*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -2. Let s(g) = 5*g**3 - 11*g**2. Let x(a) = 2*a**3 - 4*a**2. Give t*s(f) - 11*x(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = n + 2807 + 2630, 8 = -4*n. Suppose -2*l = -3*h - 19355, -3*h - 13923 = -5*l + a. Let k be 2\/(-10) + h\/(-5). Round k to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -8*p. Let z be u(-1). Solve 5*o + z = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5*((-285)\/(-25) - -5). Let k = -47 + o. Let i be (6 + -3)*(-42)\/(-9). Calculate the highest common divisor of i and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**3 + 5*m**2 + 2634101*m - 46913695 with respect to m.\nAnswer: -6*m**2 + 10*m + 2634101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8377127*t**3 + 7*t**2 + 1381060*t?\nAnswer: 50262762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/(-2))\/(-6) - 18\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*b**2*c**2*l - 2*b**2 + 7*b*c**2 - 403*b*c*l - 4*b*l + 5301 with respect to c.\nAnswer: 6*b**2*c*l + 14*b*c - 403*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/8)\/((-4)\/1492). Let o = 47 + a. What is the biggest value in 5\/3, o, -1\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10101\/4 - -2502. Let b be 2\/(-8) - (-237522)\/950280. Let l = 562241\/158380 - b. Find the common denominator of l and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.07, 1\/8, -2, 0, -0.2, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330 - 2 = 4*o + 5*i, -5*o = 4*i - 401. Let b(h) = 2*h**2 - 6*h + 5. Let q be b(5). Let y = q + o. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 15b7 + -1?\nAnswer: 15b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*u + 8. Let m be ((-10)\/2)\/(1\/3). Is (10\/m)\/(u\/1398) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {j: 2, u: 1, k: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 4 = -0*f, 0 = -3*v - 2*f - 238. Is (v\/(-8))\/((-15)\/(-20)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13 - (16 - 12)) + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 660928034.\nAnswer: 2, 13, 19, 1337911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rorw when four letters picked without replacement from {o: 2, w: 4, r: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*97657611.\nAnswer: 39063044.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*t + 3079 = -251*t + 442 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3560 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 16 = -3*y - 0*a, y + a = 8. Suppose 3*n = -3, 6 = 2*p - y*n + 1. Is (((-5)\/(-20))\/((-2)\/(-12088)))\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -23*l**3 + 3*l**2 + 2*l. Let y(a) = a**3 + a**2 - a + 1. Let o(g) = g**2 - 2*g - 2. Let v be o(0). Let f be y(v). Is 7 a factor of b(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 340291657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69998*h - 112 = -69994*h, 4*h = 5*n - 127 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2 + 24*b - 36.\nAnswer: -4*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a**3\/5 - 490431*a**2\/5 - 4006599744*a + 172465198080 = 0.\nAnswer: -81760, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 648 and 1009824.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 5*x + 692 = 727, 13*g + 5*x + 35 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - h + 1. Let a(z) = -z**2 - 3*z - 24. What is -a(i) + 2*d(i)?\nAnswer: -i**2 + i + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((225\/6)\/5)\/(45\/36120). Let d = -3517 + k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4012, 8073, 12222, 16501, 20952, 25617, 30538?\nAnswer: 35757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1.63 * -17411\nAnswer: 28379.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/14 and 25\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2464, 14485, 36074, 67237, 107980, 158309, 218230?\nAnswer: 287749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vqqveqqvlvvmvvllvv. Give prob of sequence qqvm.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*m**3*s + 370*m**3 - 2*m**2*s**3 - 12*s**3 wrt s?\nAnswer: 3*m**3 - 6*m**2*s**2 - 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.1, 4, -13.1, 3\/5, -24, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -22*22\/(-1694)*7. Which is smaller: 224\/153 or g?\nAnswer: 224\/153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*k - 349 = -1559 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 PM and 1:44 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4*(-1 - (-2)\/4). Let y(w) = -53*w + 160. Let d be y(3). Suppose -a = -d - t. Calculate the highest common divisor of a and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41 + 38. Let i(c) = -4*c. Calculate i(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/13684 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6 and 76.\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26560 is divided by 67.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of 4*z**3\/3 - z**2 + 2*z. Let v(u) = -u**2 + 8*u - 5. Let c be v(7). Give l(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 8*x - 15. Let j be d(6). Let o(y) = -2*y + 15. Let c be o(8). Put -2, j, c, 2 in increasing order.\nAnswer: j, -2, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 189 and 2062881?\nAnswer: 14440167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-26 + 10*p + 26)*(3*p + 2*p - 4*p) + (-3 + 3 - 2*p)*(-2*p + p + 2*p) + 2*p**2 + 2*p**2 - 5*p**2 to g + h*p**2 + j*p and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(1\/4))\/y*y)**(-29)*y\/y**2*y*y**(1\/4) assuming y is positive.\nAnswer: y**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**3 + 3*v**3 - 627*v - v**3 + 627*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 3*d - 4. Let s = -7 + d. Suppose 4*k - s*k + 8 = 0. Solve 10 = -k*q - 3*z + 2*z, -4 = q + z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w - 22. Let d be n(7). Let i be (d - -13)*(-2)\/(-5). Which is the nearest to -2?  (a) 5  (b) i  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of r**9\/84 + 17*r**5\/60 + 13*r**2\/2 - 7*r. Let d(k) be the first derivative of s(k). Find the third derivative of d(q) wrt q.\nAnswer: 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.0897803l?\nAnswer: 89.7803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3101 is divided by 1004.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3*(-3 + (-5)\/(-3)). Suppose -v + 25 = w*v. Determine b so that -v*b**3 - 2*b**2 + 4*b**2 + 3*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 + -35)*2694448\/(-3248) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(-1*sqrt(102) + sqrt(102)))\/sqrt(6))**2 + sqrt(136)\/(sqrt(8)*-4) + -5.\nAnswer: -5 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 4*c + 16 = 0, r - 12 - 2 = -4*c. Let f(l) = 7*l**3 + 6*l**2 - 8*l - 7. Is f(r) 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 {e: 7, y: 1, b: 1, a: 10, f: 1}. What is prob of picking 3 e and 1 y?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-23117.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -149*l + 1643. What is w(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5.10605 and 250357?\nAnswer: 250351.89395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 9*j**2. Let y(z) = 3250884*z. Give y(k(b)).\nAnswer: 29257956*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q - 7. Let z be i(-6). Let y be ((-10)\/4 - z)*-2. Suppose -6*h + h + y*r = -9, -h - 5*r = -13. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19957767.03 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -125 - -127. What is the remainder when 105 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105394 is divided by 576?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - (-9 + (-10)\/(-5)). What is the highest common divisor of 40 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4539788601?\nAnswer: 3, 311, 4865797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (200000\/(-75))\/(2\/(-5880)*1). What is z rounded to the nearest one hundred thousand?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 AM and 7:01 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16577\/3 - 5410. Let b = -113 + n. Factor -8\/3 + b*w - 2\/3*w**2.\nAnswer: -2*(w - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 - 9*b**2 - 4*b - 4. Let k(h) = 2*h**3 + 19*h**2 + 7*h + 8. Let x(w) = 3*k(w) + 7*z(w). Calculate x(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 7*s - 71. Let n be v(11). Sort n, 0.4, -1 in decreasing order.\nAnswer: n, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 0.08, -1.17, 5, -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 48 = -3*o. Suppose -m - 3*m + o = 0. What is the lowest common multiple of m and 2\/(-3) - (-58)\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 225\/1966 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of p**4\/8 - 125*p**3\/6 - 7*p**2 - 8*p. Let w be s(28). Which is bigger: w or -43?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-66)\/(-8))\/(20\/(-16)) - (60 - (-200 - -263))\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 9 + -1d858a?\nAnswer: -1d8581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 188 take away -53387976?\nAnswer: 53388164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/(-6)*(2 - 5). Is 31\/6 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1970619 and 44298?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10\/217 - -1831\/25606. Let w be 6*8\/60 - (-13 + (-1035)\/(-75)). Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + d = -2*g - 17, -4*d - 3*g = -24. Let m(u) = 2*u**2 - 8*u - 11. Let n be m(10). Let o = n + -100. What is the greatest common divisor of d and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2031 - -1170. Calculate the common denominator of 39\/25 and (-30)\/345 + v\/(-115).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5489 + -283898?\nAnswer: -283898.5489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -b - 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -240 * -3\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4*2\/18)\/(52\/78)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 50189700 to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 11:57 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 90  (b) -262  (c) 3  (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5471 + -65593\/12. Let c be 36131\/(-16) + (-2)\/2. Let z = c - -2258. What is the common denominator of q and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.72 + 0.556. Let f = -0.247 - m. Let u = -3.083 - f. What is the biggest value in -1, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9666, 756, -4 in decreasing order.\nAnswer: 9666, 756, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 11 - (1 + -1) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 - 261 = -4*h. Calculate the common denominator of 61\/20 - (-2)\/5 and 3 - 148\/h*-1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139596 - 139596 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1625673 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 - 34 = -14*v. What is the second derivative of -605*h**v - 13 + 178*h**5 + 169*h**5 + h wrt h?\nAnswer: -5160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*g**2 - 2*g**2 - 3*g**2)*(0 - 12 + 0)*(-23*g**3 + 294*g - 294*g).\nAnswer: 276*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*z = 18*z. Suppose 5*u + 5*l - 115 = z, 3*u - 3*l + 9 - 60 = 0. What is the highest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8497 = -2*p + 8487. Let y(t) = -t**2 + 5*t + 2. Let u be y(5). Sort p, 35, u in ascending order.\nAnswer: p, u, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 8:25 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of -y**4\/48 - 5*y**3\/3 - 39*y**2\/8 + 236*y + 1. Solve a(v) = 0.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 3847833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, t: 2, x: 6, y: 4, l: 1, z: 1}. Give prob of sequence lbyt.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**4\/5 - 272*s**3\/5 - 844*s**2\/5 - 568*s\/5 = 0. Calculate s.\nAnswer: -2, -1, 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (562\/6744)\/(2\/72).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 3*o**2 + 5*o. Let c(v) = -4*v**2 - 6*v. Suppose 182*k - 187*k = -3*j - 3, 5*j + 39 = -3*k. Calculate k*y(l) - 2*c(l).\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8592146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1  (b) -4\/9  (c) 4  (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (16 - 16) + 7 + 1 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 40949555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1417976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1.33 * 36\nAnswer: 47.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 5*n + 154, -8*o + 9*o - 2*n = 77. Let l(x) = -1 + 4*x**2 + 3*x - 3*x - 76*x**3 + o*x**3 - 4*x. Suppose 2*y = y - 5. Calculate l(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 21*d. Let f(z) = 702*z + 12200. What is g(f(s))?\nAnswer: 14742*s + 256200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-364)\/65*(-15)\/6*138 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/((-10)\/1)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -654.2 and -0.4.\nAnswer: 261.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 3*q + 8. Let l be r(-7). Let t = l - -27. Let p = -218 - -372. Calculate the greatest common factor of t and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -10*1*(-7)\/((-1540)\/1368). Let r = -2461\/44 - l. Let m = -11369\/70 + 1188\/7. What is the common denominator of r and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -121, -119, -117, -115?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**3 + 2*l**2 - 2*l + 2. Let r be f(4). Let i be ((-2)\/r)\/((-5)\/15). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3051*n - 43758 = -3064*n. What is the least common multiple of 459 and n?\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 135 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) + -5 + sqrt(13) - (-1 + sqrt(208))) + 1.\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16198 and 1176?\nAnswer: 1360632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 3.3, 0.2, 10918, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Round -104478.6 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111383 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 463, 1784, 3969, 7012, 10907, 15648, 21229?\n\"Answer: -j**3 + 438*j**2 + 14*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v + 11*v**2 - 12*v**2 - 22 + 6*v. Let a be b(6). Let m(k) = -4*k - 29. Let d be m(a). Solve -l - 4*j = -d, 4*j + j = l + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 25*r + 192. Is u(22) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 268459 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**2\/(v**0*v*v)*(v\/(v*v**0))**(-3\/34) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2 + 16*h**3 - 2*h - 14*h - h**2 + 3*h**2 - 5*h**2 wrt h?\nAnswer: 96*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y**5 + 1340*y**4 - 1428*y**3 - 28060*y**2 + 55024*y - 26880 = 0. What is y?\nAnswer: -336, -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 7, -2, -376?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 127709 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -41?  (a) 2\/3  (b) -7  (c) 3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 618 and 16274?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -9*c**4\/8 - 17*c**3\/6 + 2*c**2 + 42*c. What is the first derivative of b(g) wrt g?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.917 + -0.917. Which is the closest to 11?  (a) 0.3  (b) -1\/13  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55101194, -55101196, -55101198, -55101200, -55101202?\nAnswer: -55101204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from trpttdltrtrt. What is prob of picking 1 l and 1 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-47 - 103 + 36 - 176)*(3 + 3*o**2 + 2*o**2 - 2) as n*o + s + i*o**2 and give i.\nAnswer: -1450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (3 - (2 - 0)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -4  (b) 2.7  (c) -0.5  (d) -13  (e) 1\/14  (f) -0.3  (g) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d + 0*d - 153291*d**3 - d.\nAnswer: -153291*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-30)\/55 + 183\/33. Suppose -48 = -3*d + n*f + 13, -4*d + f + 87 = 0. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -35035, -65222, -95407, -125590, -155771?\n\"Answer: h**2 - 30190*h - 4846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 51.8689 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 3 - 67*x - 1 - 71*x + 137*x. Let q(p) = 4*p + 4. Let r be q(-7). Let i be (-4)\/(r\/(-9) - 2). Determine y(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1055 + 2141. What is g rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -877 rounded to the nearest ten?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -2*(-2)\/1*14412\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -5*a + 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 4:38 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -63121, -125967, -188823, -251695, -314589, -377511, -440467, -503463?\n\"Answer: -c**3 + c**2 - 62842*c - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 170177 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 765 - 765. Suppose 2\/7*z + r*z**3 - 4\/7*z**4 + 0 + 4\/7*z**2 - 2\/7*z**5 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/(-6)*3\/(-2). Let w = 3 + -3. Let t be (w - -2) + (n - 0). Solve 4*o - 3*q - 23 = 0, 4*o + 5*q + 0*q + 17 = t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2034824.\nAnswer: 2, 11, 19, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 948 = 482. Let d = 525 + z. List the prime factors of d.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 41*k**2 - 33*k + 287. Calculate i(-40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1102121 - -122?\nAnswer: -1101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -4*j. Let z(a) = 9*a. Let o(g) = 5*k(g) + 2*z(g). Let f(t) be the third derivative of t**5\/30 + 2*t**2. Give o(f(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15*l**5 + l**2 - 207*l + 186*l - l**2 wrt l.\nAnswer: 300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -28 less than -166944\/5713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h**3 - 2*h + 16*h**3 - 25*h**3 - 15*h**3 + h**3 + 85*h**3.\nAnswer: 59*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6  (b) 2  (c) -2\/3  (d) 314  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 379506676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 17 = -15. Solve 16 + p = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/18)\/((-1)\/6). Let i be (z\/(-6))\/((-4)\/12). What is the second smallest value in i, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (47 - (-56028)\/(-1196)) + 1194\/468*-3?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48815 (base 12) in base 13?\nAnswer: -35768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 98, -5, 95, -6 in decreasing order.\nAnswer: 98, 95, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -137*h + 133*h + 36. Which is the closest to 0.1?  (a) h  (b) -1\/5  (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 626*r**3 + 6*r**2 - 4. Let v be w(4). Suppose 36047 + v = 9*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3600)\/3200*(-16)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3841178 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -66?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2014.78 times -3\nAnswer: 6044.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30 - -60. Let n = q - 18. Solve 0*x + n = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 83*(((-5)\/(-35))\/(78\/182) + (-2)\/(-3))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1081.79 + 2.50909727.\nAnswer: 1084.29909727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 74424314, 74424318, 74424322, 74424326, 74424330?\n\"Answer: 4*p + 74424310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -7495.26.\nAnswer: -3747.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 451 divide 8637552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-70 + 146 - 61 - (0 - -7)) + 83?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + (-15)\/(-5))*(-1)\/(-3). Solve d - t + a = -0*t, -d + 4*t = 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -90 * 30052.\nAnswer: -2704680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5527771 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 144600 and 144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 - 4*u + 2*u - 53.\nAnswer: -2*u - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - 8*q - 7. Let c be i(-6). Suppose -20*y - 21*y = -138 - 518. What is the second derivative of 30*d - 39*d - d**5 - y*d**c wrt d?\nAnswer: -340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 7. Suppose 2*a - b - 1038 = 3*b, 2*a + 2*b - 1014 = 0. Calculate the remainder when 1\/p - a\/(-14) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3047)\/(-59)*(-3)\/(-32895). Let m = 2\/2537 - y. Let g = 22691\/1020 - m. Calculate the common denominator of -81\/22 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 8*n**2 - 5*n - 7. Let g(y) = 15*y**2 - 9*y - 13. Let d(w) = -6*g(w) + 11*r(w). Determine d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 51, 4, 14697, -2\/11?\nAnswer: 14697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1031 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3*a + 714 = g, -5*a = 2*g - 706. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p**5 - 16*p**3 - 8*p**2 + 12*p + 8 = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 times 691494?\nAnswer: -4840458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.99283 and 0.37.\nAnswer: -0.62283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 187 and 1375?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 + -0.3. Let d = -1124 + 1045.7. Let r = d - -86.7. Are r and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3)\/(-2)*4\/(-2) + 16 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, -42, 30, -0.2, -3\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 0*f - 6 = 4*f, -3*h - f = -2. Suppose 0 = 5*y - x - 22, -x - 8 = -h*y - 1. Solve 5*o - y*w = -12 - 3, 0 = 4*o - w + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17991675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3 = 4*b, -3 = 2*v + b + 2*b. Let u = -2704832 + 688796. Let m be v\/4 - u\/(-48). What is m rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/6*-3 + 327\/(-8). Let d = 36310\/3 + -1448731\/120. Let i = d + m. Find the common denominator of i and 6\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 4 + 4*m**3 + 4*m**3 - 2*m**4 - 5*m**2 - 6*m**3 as f*m**2 + a*m**3 + u*m + r + d*m**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8666388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*t - 35*t - 41*t + 87*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 609 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230642 is divided by 41.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 210 and 125.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 70*t**2 - 6025*t + 452. What is p(86)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/4272011?\nAnswer: 2\/4272011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 + 37. Let r(f) = -f**2 + 0*f**2 + 4 - 2 - 9*f. Let z be r(-9). Solve -3*o - 10 = -t*p, o + 1 = p - z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-3 + -1 + sqrt(176))**2*4*4)*2*-4.\nAnswer: -24576 + 4096*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1569, 1570, 1573, 1578, 1585, 1594, 1605?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 165 a factor of 73706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, 60508\/23, 1?\nAnswer: 60508\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 201 - 199. Solve -a*l - 17 = 4*n - 3, 5*n + l + 16 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-5 + 10 + -12 - -3) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -384 - -387.42. What is u rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 6*t**3 - 2*t**2 + 1. Let z be m(1). Suppose 4*h - 3*d = 14, -5*h - z*d = -5 - 30. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2273*v + 63718. Calculate r(28).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 3*v - 11 = 0, -2*v + v + 3 = 0. Let o(w) = 2*w - 2. Is 3 a factor of o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -6*x**2 + 12*x + 7. Let o(d) be the third derivative of 0 + 1\/6*d**4 + 0*d - 1\/30*d**5 + 4*d**2 + 1\/3*d**3. Determine 7*o(m) - 2*r(m).\nAnswer: -2*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + -126013.\nAnswer: -126013.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/23  (b) 70  (c) 0.1  (d) 79.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5448778.\nAnswer: 2, 2724389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s - s + 4*s)*(-223 + 449 + 8*s + s**2 - 227) - 3*s**3 + 2*s**3 - 15*s**3.\nAnswer: -14*s**3 + 16*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 10, 263486?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-4))\/42*12?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -15. Let b = h + 7.1. What is the closest to b in -1, -3, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 PM and 2:06 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1308495702 to the nearest integer?\nAnswer: 36173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15652 is divided by 7771.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 32116529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1469 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**8*t\/t**(-4\/3))\/(((t**2\/t)\/t)\/(t\/(t**(2\/33)*t))) assuming t is positive.\nAnswer: t**(113\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10101111 - 102221002001?\nAnswer: -102210200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c381c - 7?\nAnswer: 2c3815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -4, -31, 7.\nAnswer: -31, -4, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -c, -3*c = 3*f - 5*f + 26. Suppose -5*i + f*i = 10. Suppose -4*d - 680 = -4*o, 3*o + i*o - 838 = d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 6*i. Let z(u) = -15761*u. Give a(z(s)).\nAnswer: -94566*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.391 and 3.3?\nAnswer: 1.2903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2*z + 2, -2*z + 0*p - 4 = 2*p. Suppose z = -3*t + u + 455, -t + 0*t - 4*u + 156 = 0. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45277853\/24 - -1885975. Let i = k + 4845\/8. What is the common denominator of i and (-2*7\/(-245))\/(3 + 1631\/(-545))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42708080.\nAnswer: 2, 5, 17, 31, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -215.47409 * 0.1\nAnswer: -21.547409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1434*m**3 + 1612 - 1612.\nAnswer: 1434*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 44411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 = b + 15*x, -60*b + 4*x - 8 = -59*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s - 4*s + 6600 = 0. Let g be ((-3)\/6)\/((-2)\/s). What is the highest common divisor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 divided by -41770\nAnswer: -19\/41770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-219076)\/1287 - -172)\/(8\/42)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(228)*-2 - (sqrt(228) + -2*sqrt(228)*4 - sqrt(228)))\/(((sqrt(48)\/sqrt(4) - sqrt(12))*-2 + sqrt(36)\/(sqrt(3)*-2))*3).\nAnswer: -8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*m - 736 - 434. Calculate the greatest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -151, -1326, -3285, -6028, -9555?\nAnswer: -13866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1640 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -233 + 465\/2. Let c(z) = -108*z**2 - 4*z - 5. Let a be c(4). Let r = a + 55975\/32. What is the common denominator of r and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 8*j. Let n(i) = 0*i**2 - 70*i + 70*i - 6*i**2. Calculate x(n(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -135, -134, -133, -132?\n\"Answer: f - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64 - 125. Let p = i - -55.08. Let j = 6 + p. Round j to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.010385 years to millennia.\nAnswer: 0.005010385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*s = 11*s - 10*s - 98420. Calculate the smallest common multiple of s and 100.\nAnswer: 25900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4275*n**2 + 2012*n**2 - 1 - 5*n**3 + 3 + 1455*n**2 + n**3 in the form v*n + w + z*n**2 + u*n**3 and give z.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**4 - 114*n**3 + 3133*n**2 + 6612*n + 3364.\nAnswer: (n - 58)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from hixxixiihixxxihxhiix?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = -4*o - 39, 147*q - o - 8 = 149*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 3\/7, 0.1, -0.4, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6484303853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(304))**2 - (sqrt(19) + -1 + sqrt(19) + sqrt(38)\/sqrt(2))**2.\nAnswer: 14*sqrt(19) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 + (70 - 6) + -62.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.14 + -6.86. Let c = -5 - a. Let y = c + -1.936. What is y rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(3) + 5 + (-1*sqrt(15))\/sqrt(5))*5.\nAnswer: 5*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 9) to base 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 7:07 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 8686.422km?\nAnswer: 868642200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = r + 2*c, 3*r + c - 4 = 6*r. Sort r, 1\/8, 0.4 in increasing order.\nAnswer: r, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**2*i*z**2 - 78*c**2*i - 1625*c**2*z**2 - c**2 - i - 2*z wrt z?\nAnswer: -2*c**2*i - 3250*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 276, -182, -1370, -3288, -5936?\n\"Answer: -365*p**2 + 637*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 9*u = 0. Is -1.1 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-68)\/3 - (-5)\/(-15). Suppose -183 = -3*y + 3*l, 2*y - 3*y = 4*l - 46. Let x = s + y. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100222 (base 3) in base 5?\nAnswer: -2034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-10) - (5 + (-952)\/20). Let t = 98 + d. Suppose -9*v = -8*v - t. What are the prime factors of v?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 9, -2, 0 in ascending order.\nAnswer: -9, -2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8407 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 - 36. Let s = -14 - u. Suppose 0*v + 879 = s*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -434*k**3 - 2*k**5 + 5586*k**2 - 74*k**4 + 0*k**5 + 5695*k - 583*k + 4790*k + 2446*k = 0.\nAnswer: -21, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 506132 is divided by 630?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -32\/5, 3, -3, -2\/5 in ascending order.\nAnswer: -32\/5, -3, -2\/5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1507413 in 3\/7, -77, -2?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-522)\/12)\/(6\/4) - 25\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2 - 5*j. Let t(q) = 3*q**2 + 6*q. Let x(h) = -5*t(h) - 6*z(h). Let s(w) = -4*w**2. Determine x(s(r)).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*a**5*v - 4*a**3*v - 5434*a**2*v + 5893441*a*v wrt a.\nAnswer: -460*a**3*v - 24*a*v - 10868*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1125382 + -265382. What is p rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 47 = -11. Suppose 2*p - 5 + 1 = 0. Solve 4*c = 2*a - j, 0 = p*c + 2*a + 3 - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cx when two letters picked without replacement from uccsccccccjxccccuul?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s - 7 + 7)*(-89 + 120 - 220).\nAnswer: 945*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1071254*g**2*s**2 - 6*g*s**2 - g - 14*s**2 - s - 4 wrt g?\nAnswer: -2142508*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -93.2.\nAnswer: -27.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 15) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -188 or -60648\/325?\nAnswer: -60648\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128 = 440*a - 424*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h - 45. Let d be p(19). Let j(b) = -28*b - 189. What is j(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p**(-15)\/p*p)*p)\/p)\/p**(2\/27))\/(p**(-20))**(-14\/3) assuming p is positive.\nAnswer: p**(-2090\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 3*l - 2. Let p be c(3). Let d(o) = 4*o. Let b(x) = -9*x + 7. Let u(m) = 3*m - 2. Let a(f) = -2*b(f) - 7*u(f). What is p*a(w) + 6*d(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -935 by 530801.\nAnswer: -935\/530801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -23*m**3 - 8*m - 6. Let b(v) = -24*v**3 - 7*v - 5. Determine -6*b(s) + 5*i(s).\nAnswer: 29*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 + 3*l**2 + 6*l - 7. Give s(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 32\/138 + -2 + 2. Let m = -3\/46 + w. Let j = 38\/3 - 12. Which is the biggest value?  (a) -3  (b) m  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1263403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 - -23. Suppose -3*s - 86 = -2*w, -27 = s - 3*w + 4. What is the remainder when (s\/(-42))\/(4\/522) is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 864, 1723, 2580, 3435?\nAnswer: 4288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/1288 and 167\/336.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -x + 214, -1070 = -5*x - 3*n + n. Let p = x - 146. What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1299229 + 1.6822?\nAnswer: -1299227.3178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42403 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-432)\/120*485\/2. Let n = 873 + z. Solve n = 4*r + 4*i - 0*i - 12, -r = 5*i + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**2\/5 + 23*o\/5 - 136 = 0. What is o?\nAnswer: -40, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -734, 30, -2 in ascending order.\nAnswer: -734, -2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9932*x**3 + 6*x**2 - 1060*x wrt x?\nAnswer: -59592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -4*k - 3*x + 56, 0 = -5*k - 4*x + 88. Suppose 11*d = 12*d - k. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 + -14. Calculate the lowest common multiple of 6 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 170*f**3 + 175*f**3 + 197*f**3 - 539*f**3 - 3 + 7 - 4.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 631*j + 545. Let q(v) = -1261*v - 1092. Let u(t) = 7*n(t) + 3*q(t). What is the derivative of u(o) wrt o?\nAnswer: 634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - (-9 + 6 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 11*i - 770. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 14\/11, 12, 27, -0.04, -0.3, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 + 22. Let x(y) = 8*y. Give n(x(w)).\nAnswer: -64*w**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110*g + 32*g - 1428 = 23*g. Solve -22 + 3 = w - 4*a, 3*w - 3*a = -g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 4\/7  (b) 0.2  (c) 3  (d) 1661  (e) 1216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4429 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2235\/176 - 139\/11. Which is the closest to -0.1?  (a) -0.2  (b) -3  (c) 2\/7  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -419, -370, -295, -200, -91, 26, 145?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12327?\nAnswer: 3, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(75) - -6*sqrt(75)*-1) + sqrt(75) - sqrt(75))\/(sqrt(24)\/sqrt(72)))\/(6*(sqrt(40)\/sqrt(8) + sqrt(5))*-2*5))**2.\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/4)\/(6\/(-16)). Let m(i) = -12 + 1556*i**2 + 9*i + d - 1548*i**2 - i**3. Calculate m(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 8. Let o = -5.4 - -7. Let z = o - -2.4. Which is the second smallest value?  (a) z  (b) -0.2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g + 8. Let v(q) = q - 8. Let n(k) = 3*f(k) + 4*v(k). Let c be n(-8). Let r be -151 - 4*2\/c. What is r rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -2*g**7\/15 - 23*g**6\/30 - 4*g**5\/3 - 2*g**4\/3 - 59*g**2. Factor s(j).\nAnswer: -4*j*(j + 1)*(j + 2)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 20\/302433 and -24\/7?\nAnswer: 2117031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 15.4 * -74\nAnswer: -1139.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v + v**2 + 19585930 - 19585930.\nAnswer: v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of o**5\/15 - o**3\/6 + 4*o**2. Let g be z(-1). Let c(x) = 2 - 5*x - 3*x**2 + 2*x - 5*x**g + 5*x**3 + x**3. What is c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 184713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 87 = -14*k. What is the third derivative of 32*v**2 - 83*v**3 - 86*v**3 + 235*v**k wrt v?\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 + 7 = -4*r - 5*u, 0 = 2*r - 2*u + 10. Let n = -4 - r. Let b be (1\/3)\/(2\/6). What is the highest common divisor of b and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 4209, -0.09, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 68168146.9 to the nearest ten thousand.\nAnswer: 68170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17517473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 117269 times 0.4?\nAnswer: 46907.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -20. Let n(t) = 7*t - 10*t**2 + 41*t**2 - t**3 - 5 - 14*t**v - 15*t**2. Give n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, j: 2, i: 2, a: 9}. What is prob of sequence wiww?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*l - 62*l - 558640*l**3 + 558633*l**3 + 24*l.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11699\/144 - 707\/9. Find the common denominator of p and 10\/(-8)*((-27384)\/(-2205) - 14).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 0*t + 24. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/48 and 47\/120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*k**4 - k + k)*(2*k - 7 - 7*k + 1).\nAnswer: -25*k**5 - 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-25) - 4)\/((-6150)\/(-5125))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 3*m - 15 = 0, m - 7 = -4*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**2 - h**2 - h**2)*(2 + 6 + 0) + (-5 - 2*h + 5)*(3*h - 3*h + 2*h) + 2*h**2 + h**2 - 6*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.6, 3, 2\/3, 10, 4\/5, -4.\nAnswer: -4, 2\/3, 4\/5, 2.6, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 523368 by -1.\nAnswer: -523368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3637*p**4 + 1820*p**2.\nAnswer: -87288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 464 = 4*x, -3*x + 278 = y - 68. Let a = x + -106. Solve c = a - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 299 - 2*u**2 + 71*u + 75*u - 142*u to the form o + r*u**2 + c*u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1c7a0 (base 15) to base 11.\nAnswer: -6383a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (4*(1 + sqrt(11)) - ((sqrt(132)*-1 - sqrt(132) - sqrt(132))\/sqrt(12))**2)*-3*-4.\nAnswer: -1138 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l\/(l\/((l*l**(-19\/3))\/l))*l)\/l)\/l)\/l**(24\/11))**(-4\/9) assuming l is positive.\nAnswer: l**(1256\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-6*sqrt(363)*-1 + sqrt(363) + sqrt(363)*-1 + 5 + -3*(sqrt(363) + 1)*-3))**2.\nAnswer: 41580*sqrt(3) + 736839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (222\/(-70) + 3)*10\/(-4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*o + 7. Suppose o*x - 2*x - 126 = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00028464714 to 6 decimal places.\nAnswer: 0.000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 305*n**2 - 25*n + 3. What is the tens digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16626175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 764*s**2 - 764*s**2 + 11 + 37*s**3 + 37*s**3 - 72*s**3.\nAnswer: 2*s**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 203 and 794426?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -14*y - 15. Let s be a(-9). Let l = s - 105. Solve 0 = -l*z + 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fifty-seven fifths of a century?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -92*r**3 + 2*r**2 - 3*r + 2. Give z(1).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*w = -0*w + 36 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -20*m + 7. Let w = 1464 - 1481. Let y(t) = 7*t - 2. Calculate w*y(p) - 6*f(p).\nAnswer: p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-1\/3))**(6\/5)*z**(9\/4)*(z*z\/((z**(-5\/7)*z)\/z*z))\/z assuming z is positive.\nAnswer: z**(527\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4*((-216)\/32 - -2). Calculate the greatest common divisor of 152 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1156 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 3*t - 7. Let g be s(-5). Suppose 6 = -3*k, m + 4 = 3*m - 3*k. Let b be 0\/(-2 + (m - -1)). Sort b, 4, g in decreasing order.\nAnswer: 4, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 130*m + 1122. Give x(-10).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(216)\/sqrt(3) - (1*sqrt(98) - sqrt(50)*3)**2)*5.\nAnswer: -660 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + u - 24 = 0, 5 = -2*u - 1. Suppose -j = -3*w - 0*w. Let g = w - -13. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 24*i**2 - i. List the prime factors of u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9.079 + -1.019. Let i = 8.06 - j. Let u = 2.2 - 2. What is the biggest value in u, -0.04, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.216 - 0.184. What is the nearest to -0.1 in -7, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24 by -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 - 8*c**2 - 13*c + 2. Let b be a(10). Let r = -46 + b. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 1 + 23. Let j be (2\/t)\/((-5)\/60). Let z be ((-78)\/j)\/(3\/100). Round z to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 30 = -2*l, 5*l - 6722 = -6737 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (79265\/55 - 15) + 2\/(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((-4)\/6660) + 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -4\/1949 and -37\/230687538.\nAnswer: 230687538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 1\/2  (b) 2\/27  (c) -1.2317\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -10*g + 16*g. Solve g*k = 6 + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/24 and (-4)\/(-14) - (1934\/2016 + -1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - i**2 + 1. Let j be f(2). Suppose -j*s - 25 = -v + 38, 0 = 4*v - s - 309. Let d = v + -42. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p + 1. Let f be b(1). Factor -2*l**5 + 12*l**f - 18*l**3 - 2*l**5 + 45*l**2 + l**5 - 33*l**2 - 3*l.\nAnswer: -3*l*(l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (374\/(-33))\/((-4)\/6). Suppose -4*w + 12 = 0, 0 = u - 0*w - 5*w - g. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u\/(u*u**3)*u*u\/u**(1\/12)*u**(-11\/4)*u*u**(2\/63) assuming u is positive.\nAnswer: u**(-227\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s + 4. Suppose 0 = 4*u - 5*f + 47, 5*u + 1 = 3*u - 5*f. Calculate h(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 5083*m - 3060. Let b(o) = -1694*o + 1008. Let l(d) = 8*b(d) + 3*w(d). Find the first derivative of l(s) wrt s.\nAnswer: 1697","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.08 - -0.58. Sort 3\/5, -0.2, q in ascending order.\nAnswer: -0.2, q, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, d: 2, b: 2, m: 1}. Give prob of picking 1 b, 1 d, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, -6, -8, 1.\nAnswer: -8, -6, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16648111.\nAnswer: 211, 78901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -50*j**5 + 65*j**4 + 185*j**3 - 260*j**2 + 60*j = 0. What is j?\nAnswer: -2, 0, 3\/10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of x**4\/8 - x**3\/6 - x**2. Suppose -14*w + 188 + 204 = 0. Suppose -5*p = -n - 20 + w, 10 = -2*p - 3*n. Determine v(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z + 26. Determine j(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -13*k**3 - 103*k**2 + 2568*k + 2679. Let o(u) = -123*u**3 - 978*u**2 + 24399*u + 25452. Let j(g) = -7*o(g) + 66*x(g). Factor j(i).\nAnswer: 3*(i - 15)*(i + 1)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -93 + 192.5. Let a = 152 - x. Round a to zero decimal places.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-11286)\/(-532) + 4\/14 and -81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-14)\/2 + (704\/(-22) - -59) is divided by 3\/(1 - (2 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of q**3\/6 + q**2\/2 - 3*q. Let h be (42\/27 - 451\/99)\/(-1). Let y(d) = -3*d**2 - 3*d - 3. What is h*y(w) + 9*m(w)?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34091119 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -388*t - 4. Let s(d) = 2*d - 2. Give k(g) - 2*s(g).\nAnswer: -392*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3799 is divided by 3661.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 7059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3433, -4423, -5415, -6409, -7405, -8403?\nAnswer: -9403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 115742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-13) - (((-48)\/7)\/(-2))\/(70265\/4324)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*i**4*l**2 + 2*i**4*l - 10*i**3*l**2 + 2*i**2*l**2 - 27*i*l wrt i?\nAnswer: 144*i*l**2 + 48*i*l - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 47965 by -6.\nAnswer: -47965\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5272 is divided by 532.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 87\/4 - 23. Which is bigger: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 minus 852?\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 39067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3*0.128906\nAnswer: 0.386718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2941, -9540, -20543, -35956, -55785?\nAnswer: -80036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2 + 22*z + 68. Let y be n(-18). Let f(d) = -d**2 - 54*d + 9. Let i be f(y). What is the highest common factor of i and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1012, 1428, 1842, 2254, 2664, 3072, 3478?\n\"Answer: -l**2 + 419*l + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/4*16\/(-2). Let a(v) = v**2 - 2*v + 3. Let b(m) = 12*m - 19. Let r(u) = 7*u - 11. Let k(t) = 4*b(t) - 7*r(t). Determine y*k(f) + 2*a(f).\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 18 = 4*r - 4*q + 15, -222*r + 401*r = -4*q + 398 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (74 + -21 + -60 - (0 + -13)) + 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 9002, 5, 3\/2 in descending order.\nAnswer: 9002, 5, 3\/2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 98\/35 + (-4)\/5. Factor -126*y - 19*y**2 + 107*y**2 + 27 + 59*y**c.\nAnswer: 3*(7*y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 14, t: 5}. What is prob of sequence qttt?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2195597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 31. Let b be (5 - y\/(-4))\/(2\/8). Let u(f) = -4*f**2 - 3*f. Calculate u(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/11)*v)\/((v*v*v**(1\/4)\/v)\/v)*(v*v*v**(-6)*v*v)\/(v**(-3\/4)\/v) assuming v is positive.\nAnswer: v**(7\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*t**3 - 1121*t**2 + 1121*t**2.\nAnswer: 38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*115\/40 + 27\/(-36). Which is the biggest value?  (a) -12  (b) l  (c) 1\/3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2 + 2\/3*h - 1\/6*h**4 - 1\/6 + 2\/3*h**3.\nAnswer: -(h - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -7. Let g be (4 + (-32)\/8)\/(-2). Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/6 and -31\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1266 - -1266.2. What is the nearest to 0.137 in 2\/17, -2\/3, s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 19 = -4*v, -2*o - v + 12 = 1. Let x be 1 - 3*o\/3. Let u(z) = -z**2 - 6*z + 1. Let s be u(x). Let t(n) = -6*n + 1. Calculate t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -726 in 0.4, 4, -0.7, 187?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3025713477.\nAnswer: 3, 103, 9791953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z + 21 = 51. Let w be 1048\/18 + 2\/(-9). Suppose -5*c + w = z. What is the remainder when c is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 11*w + 52. Let p(c) = 6*c + 4. Let o(g) = 42*g + 27. Give w*o(u) + 27*p(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 153601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7973\/2 - -57971\/14. Let b = q - 11558\/77. Find the common denominator of b and -1 - (15\/12 - -2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 100643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 70380643 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 17553, 36229, 56025, 76941, 98977, 122133?\n\"Answer: 560*v**2 + 16996*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34666 - -102225. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 78 = -263*q + 256*q, 2*y = 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 236856 take away 132450017?\nAnswer: -132213161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 78.4 to the nearest integer.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -179 + -855. Let c = u - -1037. Solve -s = g + 4*g - 18, -4*s - 20 = -c*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 5, 2197856, -3 in ascending order.\nAnswer: -8, -3, 5, 2197856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1563 - 1545.009. Let i = b + -18. Let x = 0 - i. Round x to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkkkkpkkkknpk. What is prob of picking 1 p and 3 k?\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8 - 12bb?\nAnswer: -1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 - (177 + -180 - (7 + -10 - (7 + -1))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1113506 (base 7) to base 5.\nAnswer: 13410022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 4808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 184 a factor of 1643156064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 1\/11, -9869\/10, 2\/15 in decreasing order.\nAnswer: 12, 2\/15, 1\/11, -9869\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 279350.4 millilitres in litres?\nAnswer: 279.3504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 651567.\nAnswer: 3, 7, 19, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 807, -52, -1 in descending order.\nAnswer: 807, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 494 - -690. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o - 14*o - 36 + 18*o)*(-2 + 2*o + 2).\nAnswer: 10*o**2 - 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of a**4\/6 + 22*a + 2. Let m(f) = 2*f**2. Determine -6*m(r) + 4*q(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.447, 2016\/5, -1 in descending order.\nAnswer: 2016\/5, -1, -3.447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = 124*j + 105*j + 129*j + 2852, -19*j = -22*j + 4*q - 40 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the third derivative of d**4\/12 + 5*d**3\/6 + d**2. Let s(n) = 2*n + 6. Let m(c) = -6*l(c) + 5*s(c). Let j(t) = t**2. Give j(m(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 368119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 399079?\nAnswer: 399079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3395 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2875443l in millilitres?\nAnswer: 287.5443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8101955.\nAnswer: 5, 1620391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 288 and 320.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 111 - 89. What is d in 73*d**2 - 24*d**2 - 23*d**2 - 280*d + 4900 - v*d**2 = 0?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 - 3*a**2 + 2*a**2)*(4*a**2 + 0*a**2 - 7*a**2) + 3606*a**2 - 3606*a**2 - 118*a**4.\nAnswer: -121*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 7:41 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -0.1, -0.15, 5 in increasing order.\nAnswer: -0.15, -0.1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1522.71 + 1522.7. Which is the third smallest value?  (a) -3  (b) 0.2  (c) -58  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -74d?\nAnswer: 74a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 168\/(-144)*24\/378\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i*q**3*y - 33*i*q**2 - 3*i + 13*q**3*y + 2*q**3 - 3*y wrt y.\nAnswer: -2*i*q**3 + 13*q**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34345140*v = 34345149*v - 495 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.7  (b) -2\/13  (c) -4\/5  (d) -8\/15  (e) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 561665 and 89830?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-754 + 6991*d**2 - 1433*d**2 + 376 + 378)*(d + d + 0*d) to the form n*d**3 + s*d**2 + u + c*d and give n.\nAnswer: 11116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1010 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2441*i. Let o(a) = 6*a**2. Give o(f(g)).\nAnswer: 35750886*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-3\/4)*j)\/j**1)\/(j**(-3)\/(j**(-2\/3)\/j*j)))**(2\/129) assuming j is positive.\nAnswer: j**(31\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -755 (base 12) in base 10?\nAnswer: -1073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1701*n - 432*n - 337*n + 1)*(5 + 1 - 4).\nAnswer: -4940*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 214297, 428592, 642887, 857182, 1071477?\nAnswer: 1285772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 350027 and 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154 = 94*w - 95*w. Is w a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -943*q + 25082. Calculate k(25).\nAnswer: 1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 12:05 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 14 + 16 - 2*f**2 - 6 to a*f + z*f**2 + k and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.7 + 6.5. Let n be (-30)\/(-28) + 3\/(-2). Which is the closest to r?  (a) -1\/6  (b) n  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of r**5\/90 + r**4\/54 - r**3\/27 - r**2\/9 + 52*r - 1. Find m such that q(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o. Let x be c(4). Let l(q) = -q**2 - 4*q + 2. Let i be l(x). Sort -4, -3, i.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1\/201, 0.2, 1\/7, -46 in descending order.\nAnswer: 0.2, 1\/7, 1\/201, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 777 is divided by 200.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from {n: 3, s: 2, u: 1, x: 3, m: 3, y: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*n**3 + 4\/5*n**2 + 4\/5*n + 12\/5*n**4 + 0 = 0. Calculate n.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/93 and 55\/132 + 5 - 5.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5 + 18\/4)*(3 - -3)\/(-3). Let a(u) = 53*u + 2. Determine a(f).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 37 in -4, 26, -2, 2\/3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 410.0599 litres?\nAnswer: 410059.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3.7 * -270\nAnswer: -999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1589\/960 + -5\/64. Calculate the common denominator of 11\/18 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*j + 4. Let u = 41 - 40. Let t = 1 + -0.5. What is the nearest to u in j, -1, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -68, -305, -368 in decreasing order.\nAnswer: -68, -305, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - l)*(0 - 2*l + 0) + l**2 + 2 - 2 - 6*l - 2*l**2 + 5*l + 4*l.\nAnswer: l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 - -67. What is the remainder when n is divided by 51\/(-2)*(-18)\/27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 7 - 2 + 289*k - 3*k**2 - k**3 - 285*k + 0*k**2. Let z be 2\/(-11) - (-890)\/55. Suppose 13*s = z*s + 12. Determine r(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2. Let z(q) = 59*q**2 + 13*q + 1. Let l(w) = 4*c(w) + z(w). List the prime factors of l(-4).\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -50 + 14. Let j(a) = a**2 - 11*a - 9. Let q = -1 - -15. Calculate the remainder when j(q) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54\/(-15)*(-15)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12\/(-2)*123*1*-8. What is the highest common factor of z and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from kqxqqqxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9130?\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -3*n - 15, 0*n + 5 = -5*n - 5*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1075224515 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66950, 66948, 66940, 66926?\nAnswer: 66906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**5 + 3*a**4 + a**3 + a**2. Let f(m) = -3*m**5 + 207*m**4 + 4205*m**3 - 19995*m**2. Let j(q) = -f(q) + 5*l(q). Find n such that j(n) = 0.\nAnswer: -50, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -7010, -14167, -21476, -28943, -36574, -44375?\n\"Answer: -t**3 - 70*t**2 - 6940*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32 + 11. Let m = -21.26 - h. Round m to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2432664 and 10170.\nAnswer: 12163320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100010111110011001001 + 110?\nAnswer: 11100010111110011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 5:24 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 5*x + 58 = 8, 3*x + 15 = 0. Let j(h) = 7*h**3 - 5*h**2 - 5*h + 4. Let w(c) = 11*c**3 - 8*c**2 - 8*c + 6. Calculate q*w(i) + 8*j(i).\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -124 - -190. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 + 10 + 42 + -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2701039 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2400, 0, 1, -2, 3, 76.\nAnswer: -2400, -2, 0, 1, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nynynnn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 4*t + 45, 6*t + 5*p = 10*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 972, 8530, 29046, 69000, 134872?\n\"Answer: 1080*s**3 - s**2 + s - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rflfqro.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 44597888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -5*y - 10, 34991 = 28*s + 2*y + 34943 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0.09, -2, -0.27, 7 in increasing order.\nAnswer: -7, -2, -0.27, 0.09, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 1 = -3. Let u be 196\/24 + -2 - k\/(-12). What is the common denominator of (-4)\/24*(-94)\/(-16)*u and -34\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -55 at most -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1094 in -7, -0.4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4911600938261 less than 0.06?\nAnswer: 4911600938261.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((87*(-6674)\/(-20590))\/((-3)\/(-10)))\/(-1)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 5 - 0. Is x >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 12) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 5933 = -f + 4*f, -5*f = 4*g - 9913. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -12*m. Give q(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -25021\nAnswer: 25021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -38 + 20. Suppose 5*n - 116 = 3*n. Let u = y + n. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 - 14.9. Let i = -0.2 + -0.3. Which is the third smallest value?  (a) 3  (b) i  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*(-9)\/42)\/(24\/(-21))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i*q**3*w*z**3 - 2*i*q**3*z**2 + 3*i*w*z**3 + 9*i*z + 3*q**3*w*z**2 + 5*q**3*z**3 - w wrt z?\nAnswer: -6*i*q**3*w + 18*i*w + 30*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-405)\/45 - (2 - 5)\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -11010111000101000?\nAnswer: 11010111000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (0 + -4 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c = -6*c - 14. Solve -c*k + k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/((-48)\/843) - 1\/4. Let d be (-24)\/(-10)*u\/14. Solve -2*m + d = -2*o - 4*m, -m - 1 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 849335013 divided by 309.\nAnswer: 2748657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31\/992*-24*32\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.056 + -0.101. Let s = 4.845 + p. Let z = 4.6 - s. Put 5, 0, z in descending order.\nAnswer: 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 34*j*m*z - 3*j*m - 2*j*z**2 + 156613*j + m*z**2 - 9*m*z + 4*m wrt m?\nAnswer: 34*j*z - 3*j + z**2 - 9*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.81417 nanograms to micrograms.\nAnswer: 0.00581417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -11*l. Suppose l = 7*r - 166 - 506. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -698*f**2 + 334975 - 334975.\nAnswer: -698*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.302194778 to 2 decimal places.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1*(-6)\/3)\/(2\/(-63)). Calculate the greatest common divisor of 378 and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*x, -5*x = -3*v - x - 26. Let l(d) = d**2 + 5*d + 7. Let h be l(v). Suppose -2*r = 3 - h. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53, 62, 87, 134, 209, 318, 467, 662?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t + 1. Let j(m) = -17*m**2. What is x(j(a))?\nAnswer: 34*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p*p*p*p**3*p)\/p)\/p)\/(p*p*p\/(p\/(p*(((((p*p**2)\/p*p*p)\/p)\/p*p*p)\/p)\/p)))*p**(-5)\/p*p\/p**(-1))**(-41) assuming p is positive.\nAnswer: p**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**0)**(-2\/61)*(o**0\/o*o)\/(o*o**(-1)))**(1\/59))**(-4) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - -1 - (-12 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 326 is divided by 83.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -w - 2*h, -4*w + 2*h - h + 15 = 0. Let o(a) = 0 - w + 0 - a. Let q be o(-6). Solve 0 = q*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -111, -222, -333?\n\"Answer: -111*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a factor of 48381750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56329 is divided by 28121?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*w + 3, 4*x - 68 = -5*w. Suppose -2*i - x = -144. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 0 - 2*z + 1 - 3 + 9. Let d be k(-11). Let i = d - 11. Calculate the highest common divisor of i and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**(-4))*l**(-6)*l**(-5)\/(((l*l*l\/(l\/(l**5\/l)))\/l)\/l))**(-49) assuming l is positive.\nAnswer: l**931","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -2*k - 3*w, -253*w + 43 = 2*k - 248*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 37 + -0.1289257665.\nAnswer: 36.8710742335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100406, -198817, -297228, -395639, -494050?\nAnswer: -592461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1041 divided by -29?\nAnswer: -1041\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4919460137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18533.435 + -13.435. Let h = z - 18520.039966. Let r = 0.04 + h. What is r rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.373 rounded to two decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 547380022?\nAnswer: 2, 7, 39098573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**4 - 45*m**3 - 75*m**2 + 125*m.\nAnswer: -5*m*(m - 1)*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 758 divide 1096337848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-5 + 35)*51\/6 + 4 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 556, 2227, 5002, 8875, 13840, 19891, 27022, 35227?\nAnswer: 44500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0\/(t\/(t\/((((((t\/(t\/(t\/t**4)))\/t)\/t)\/t)\/t)\/t)))*(t\/((t\/(t**(4\/7)\/t))\/t))\/t**(-4\/3))**(-6) assuming t is positive.\nAnswer: t**(-416\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 180230095?\nAnswer: 5, 313, 115163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - -8 - (-2 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(224)*2)\/((-2*sqrt(200) - sqrt(200))*6).\nAnswer: 4*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/13, 4, 3137, -123\/8 in increasing order.\nAnswer: -123\/8, -2\/13, 4, 3137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -7*d + 3. Calculate z(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*m + 4*t, -4*m + 2*t = 4*t - 10. Suppose m = -d - g - 3*g + 32, 45 = 5*d - 3*g. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*n - n + 0*n + (n + 3 - 3)*(-3 + 2 - 1))*(-11 - 9 - 4) + (3 - 1 - 1)*(-2*n + 0*n + n) to the form h + j*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 21*s - 25. Let y(o) = -11*o + 12. Let t(f) = -4*i(f) - 7*y(f). What is the units digit of t(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 8*u - 32. Suppose 16 = -4*t + 4*z, 22 = -3*t + 5*z + u. Is ((-26)\/(-2))\/(t\/(-669) + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.608098495 and -2360.\nAnswer: -2359.391901505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence erj when three letters picked without replacement from jmjjmjjrjjejje?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 + 4*y**2 - 2*y + 4. Determine x(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 10.15, 6\/5, 0 in increasing order.\nAnswer: 0, 1, 6\/5, 10.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(-7\/3))\/a**(1\/17)*(a**(9\/5)\/a)**(-25))**(-33) assuming a is positive.\nAnswer: a**(9383\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 788*y**3 + 346330*y**2 - 347133*y**2 + 656*y**3 wrt y.\nAnswer: 8664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 - 13*y - 19. Let o be z(-11). Suppose 2*b + 132 = o*g, -g - 4*b + 198 = 4*g. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -12*b**2. Let u(s) = -s**2 + 3*s - 1. Let o(m) = 39*m - 13. Let g(z) = o(z) - 13*u(z). Give r(g(i)).\nAnswer: -2028*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 - 0.6075.\nAnswer: -0.1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 779*m**2 - 273*m**2 + 363*m**3 - 273*m**2 - 233*m**2.\nAnswer: 363*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -3*w + 98. Let i be s(14). Suppose -73*m = -i*m - 2720. Is m a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 - i**2. Let u = 18 + -14. Let b(w) = -w**4 + 2*w**3 + 3*w**2. Let t(z) = u*k(z) - 2*b(z). What is the third derivative of t(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(-10)*((-140)\/21)\/(-10). Which is smaller: x or 60?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12072 or 12067?\nAnswer: 12072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z - 5*z - 9*z + (-3*z - 3*z + 5*z)*(4 - 2 - 1))*(-z**3 + z**2 - z**2).\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of (-2)\/(2*3\/(-150))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -18774516, -37549033, -56323550?\n\"Answer: -18774517*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 158240?\nAnswer: 2, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - 4*c**2 - 12*c + 5. Let u be f(6). Suppose -u*m + 0 = 10, 0 = -l + m + 333. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -6*x + 2. Let i(r) = -r. Determine -5*i(y) + n(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**2)**(-3\/5))**(25\/4) assuming t is positive.\nAnswer: t**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 982216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31276066 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 7 - 42 = -5*o, 5*o = 3*s + 43. Let h be -6*(-6)\/48 - (-3)\/s. Which is the closest to -0.1?  (a) h  (b) 2  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1884  (b) 5  (c) 0.1  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 209.7 and 41.6.\nAnswer: 8723.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 12) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2572 + -2484. Calculate the highest common divisor of m and 2068.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -7. Let h be 1*((v - -1) + -1). Solve 2*g + h = -6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 40, -2\/5, 0.58?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26374481*g**4 + 48663280.\nAnswer: -105497924*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5407573?\nAnswer: 71, 76163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 292 by -645101.\nAnswer: -4\/8837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*33\/15939*-49*(-2)\/(-7).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 - 6*p**2 - 5*p - 5. Let t be v(5). Let k = t + 291. Let m(a) = a**2 + 13*a - 12. Calculate m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*(q\/((q\/q**(-7))\/q)*q)\/q*q**45*q assuming q is positive.\nAnswer: q**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 183612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -4  (c) -0.5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 8 = 2*t. Suppose 3*r - 2 = t. Suppose -r*f = -6*f + 72. What is the highest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 94 + -14. Let r(l) = y - 23*l - 80. Let h(z) = -z**2. Determine r(h(b)).\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -68 - 1. Let g = l + 40. Let q be 2\/(-12) - g\/(-6). Put q, 1, 4 in ascending order.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 744, 1486, 2238, 3006, 3796, 4614, 5466, 6358?\n\"Answer: q**3 - q**2 + 738*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 6*r - 4. Suppose 0*p - 6 = -p. Suppose i = 3*i + r*a + 6, -2*i = -a - p. Solve 3 = 2*y - i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaajaaajaaj. What is prob of picking 2 a?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16 and 14370248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17 by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**2*l - 27*d**2 - 54*d*l + 8449*l + 2104136 wrt l?\nAnswer: 2*d**2 - 54*d + 8449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 84 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/((-48)\/(-200))*(-43)\/(-2150)*-22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of 4*d**2 + 192. Let u(q) be the first derivative of 33*q**2\/2 - 1. What is -21*b(w) + 5*u(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -757618.23344 - -757653.333440379. Let g = u + -35.1. What is g rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38646 and 736326.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000004968335 to 7 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 2*h = 12 - 4, -6 = 3*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -515434157*r**3 + 4*r**2 + 319374*r + 47 wrt r?\nAnswer: -3092604942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + 0)\/(-2) - (-11 - -17). Let f = -8 - c. Let a(j) = j**2 - 1. Let s(m) = m**3 + 3*m**2 - 2. Calculate f*s(w) + 4*a(w).\nAnswer: -w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 71\/(2485\/84)*90\/8. Sort m, 0, 115 in increasing order.\nAnswer: 0, m, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -56.6135 + -0.5665. What is d rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f + 14. Let h be q(6). Suppose h*t - 4*t = 16. Suppose 3*r = -j + 200, -245 = -t*r - j + 20. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 4 + 2 - (-4 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1080 - 9?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 25*h**2 + 4*h - 12. Let n be t(25). Suppose 2*r - 44 = 2*d, 0 = 3*r + d + 18 - n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.5011351 and 33.3.\nAnswer: 33.8011351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/67756 and 19\/338.\nAnswer: 880828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -31402 minus 0.0183902514?\nAnswer: -31402.0183902514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-108)\/80)\/3*190\/(-114). Let c(z) be the first derivative of -q*z**3 - 18 + 3\/2*z**2 + 3\/20*z**5 - 3\/8*z**4 + 3*z. Solve c(l) = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, -3\/5, -1, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 3*b**3 - 9*b**2 + 32*b - 100. Let y be v(3). Let j(r) = r**2 + 2*r + 2. Let l be j(-2). Let f(t) = 3*t**2 + 0 + 6*t + 4 - 2*t**l. Calculate f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 5*b - b = 34, -2*b + 4 = -5*s - 26 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -22 + 8?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.07*143.3\nAnswer: -10.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 3. Put -2, w, -4, -5 in descending order.\nAnswer: w, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2088*x**2 + 4189*x**2 - 2100*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 103 - 95. Let t(x) = x**2 - 6*x + 3. Determine t(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3690 and 3024720.\nAnswer: 124013520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10205840819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10 - (2 - (4\/(-2))\/(-1)). Let b(j) = -j**2 + 10*j - 6. Give b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.015  (b) 1\/8  (c) 1.7  (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -284, -304, -66, 424, 1160?\n\"Answer: -g**3 + 135*g**2 - 418*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of f**5\/20 + f**4\/6 - 5*f**3\/6 - 3*f**2\/2 - f - 22. Let s be b(-3). Solve -s*i + i = -2*p, -3*i + 20 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 - 12 = 4*p - q, 0 = -5*q. Solve h + 2*h - p = 5*k, 0 = -2*k - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2907 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2 + 14. Let h = 22 - u. What is the least common multiple of (-34)\/(-6) - (-3)\/9 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p - 6. Let b = -10 + 5. Let o(j) = -j + 7. Let m(i) = b*y(i) - 4*o(i). What is the units digit of m(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1390484*-4\nAnswer: -5561936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(2\/15))\/b)**(-1\/28)*(b*b*(b\/(b**(-2\/3)*b))\/b*b)\/(b**(2\/13)\/b) assuming b is positive.\nAnswer: b**(3201\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 68 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2450, -2237, -2024?\n\"Answer: 213*l - 2663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13186 rounded to 3 dps?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*b**2 - 115*b - 108*b - 112*b + 451*b - 115*b + 281*b**2.\nAnswer: 335*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -15*p**2 - 82*p - 603. Give a(-6).\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24059 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {l: 4, g: 4, q: 7}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -91 + 83. Let v be 3 + 0 + 28\/y + 3. Let s = v - 3. Which is the nearest to s?  (a) 5  (b) 0.4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19058530 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1182570, -1182558, -1182546, -1182534?\nAnswer: -1182522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 1.2  (b) 6.4  (c) 4  (d) 10\/79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + -1)) + sqrt(180))*-4 - ((sqrt(180) - ((2*(1*sqrt(180) + sqrt(180)) - sqrt(180))**2 + sqrt(180))) + sqrt(180)).\nAnswer: -30*sqrt(5) + 1616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16.9 + -16.672. Let a = -3.772 - r. What is the nearest to 0 in -0.2, a, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = k + 36, 6*f + 403 - 520 + 332 = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53224999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1829176 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -79*(-2)\/(-3 + 5). Let p(l) = -23*l - 29*l + t*l - 28*l. Let n(d) = 23*d. Determine n(p(b)).\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*d**2 + 4*d**2 - 4*d**2)*(5*d**2 + 7 - 7 + (-3*d**2 + 0*d**2 + d**2)*(4 + 3 - 5) + 3 + 2*d**2 - 3) as h*d**2 + b + r*d + o*d**3 + z*d**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-43)\/(-6) - 2\/12. Let z = -1 + x. Suppose -2*s - 12*s + 196 = 0. Calculate the lowest common multiple of s and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3619845641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = m, -2*o + 5*m = o + 23. Which is the third biggest value?  (a) -2  (b) 0.5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 216, 421, 628, 837, 1048, 1261, 1476?\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + b = 3*b - 1, -15 = -3*f - 3*b. Suppose 4*n - 4*s - 12 = 0, f*n + 5*s - 15 = 2*n. What is the smallest value in n, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-290)\/(-8) + 3\/(-12). Let -10*t**4 + 40*t**2 - 36 + 20*t - 35*t**3 - 15*t**4 + h = 0. What is t?\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -525*m = -460*m + 518*m - 15741 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -262 + 489\/2. Find the common denominator of a and 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45\/2 - -309\/14. Let t be ((-24)\/7)\/(42\/28) + 3 + -1. What is the nearest to t in -6, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 1276 - 5049 = 0. Let t = -539 - h. Solve t = 3*a + 2*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1041791772.\nAnswer: 2, 3, 7, 461, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 353, 1507, 3427, 6113, 9565?\n\"Answer: 383*s**2 + 5*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jbjnbjbbjb. Give prob of sequence nj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 37\/10  (b) 2\/3  (c) 2\/13  (d) -2\/3  (e) -1  (f) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*k - 1751 = -44*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 114 + -107. Let d be ((-3)\/(-9))\/(z\/21). What is the remainder when 154 is divided by (16\/(-20))\/(d + (-64)\/60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-46*k**4 - 27*k**4 - 19*k**4)*(-4 + 4 - 3)*(3 - 4 - 1) in the form w*k**3 + s*k + r*k**2 + b + g*k**4 and give g.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) -853  (c) 0.2  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 57121236 and 212980?\nAnswer: 285606180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 507*w - 1499. Let x be y(3). Solve 27*k = x*k + 30 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28312881 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of q**4\/4 + q**3\/3 - 8*q**2 + 20*q + 219. Determine b, given that g(b) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of -2*g**4\/3 - 55*g**3\/2 + 199*g**2. Let c be i(-10). Which is bigger: c or -66?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 200165 + -343665. Round l to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of 3*j**4\/4 - j**3\/3 - j**2\/2 - 2. Let r be k(-1). Let y(h) = 5*h**3 - 3*h + 2*h**2 + 2 - 1 - 4*h**3. Give y(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27*6\/144*37\/(20979\/84)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 1\/11, 0.4, 3.9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -187136926 <= -187136926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 5010 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) -0.03  (c) -0.4  (d) 6  (e) 2.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -728*p**2 + 7239*p + 413. Calculate l(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 320 and 108060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*n - 143 = -188*n + 127. Let f(z) = 1. Let u be 6\/(-10) - (-20)\/(-50). Let y(x) = -2*x + 7. Calculate n*f(i) + u*y(i).\nAnswer: 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -1117*f - 9103. What is z(-8)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 23*f + 15. Let t be r(5). Is t bigger than -516\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d**5 - 60*d**4 + 76*d**3 + 888*d**2 + 1120*d = 0. What is d?\nAnswer: -7, -5\/2, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 273608 - 113995?\nAnswer: 159613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**0)**(2\/21)\/(o**(-3\/5)*o**(2\/11))*((o*o**1)**(1\/21))**(-5\/11) assuming o is positive.\nAnswer: o**(433\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 5 + a**2 + 0*a + 2*a. Let k(g) = 2*g**2 - 215*g + 102. Let l be k(107). What is v(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30792 and 42339?\nAnswer: 338712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -20612, -41223, -61820, -82397, -102948?\n\"Answer: f**3 + f**2 - 20621*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-8))\/((-5396)\/(-1136))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91*q - 84*q = -476. Let p = q - -67. Put 10.8, p, 2 in increasing order.\nAnswer: p, 2, 10.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*u - 18806 = -18102 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7982326193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {x: 1, h: 6, l: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 - 3*g**2 - 2*g + 1. Suppose y - 3 = -a, -3*y - 6 - 10 = -2*a. Calculate l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**8\/g*g)\/(g*g**3\/g*g)*(g\/(g**(-2\/27)\/g))\/(g**(1\/7)\/g))**(-47\/3) assuming g is positive.\nAnswer: g**(-70453\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (68\/(-7))\/(1\/1*(-510)\/1785).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r**3 + 123*r**2 - 58*r - 177. Calculate f(61).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 172*s - 1 + 0 to the form l + c*s and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -173, -457, -873, -1421, -2101, -2913, -3857?\nAnswer: -4933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23218 is divided by 430.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2919, 5938, 8957, 11976, 14995, 18014?\nAnswer: 21033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of q**6\/90 + q**3\/3 + q**2 - 5*q. Let b(f) be the second derivative of v(f). Let w(a) = -3*a**2 + a. Give 5*b(m) + 6*w(m).\nAnswer: 2*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 11*y**2. Let p(x) = 15*x. Determine p(d(t)).\nAnswer: 165*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*i**3*w**2 - 110*i**3 + 2*i**2*w**2 + 4*i*w**2 - 4*i*w + 2*i + 33*w**2 + 7 wrt i.\nAnswer: 66*i*w**2 - 660*i + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u = 37 + 18. Let y = -1201 - -1202. What is the closest to y in -1\/6, -1\/2, -0.2, u?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 12 = 2*v. Let d(i) = -9*i + 45. Let w(p) = p + 3. Let j be w(2). Let f be d(j). Solve -v = 4*a - f*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -846\/19 - -17225\/418. What is the common denominator of t and -5 - -2 - (-97)\/(-12) - 0?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8336)\/1*((-56250)\/(-9))\/1. Round d to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/(-14))\/((-1)\/(-4)). Let u be (1 + (-1)\/3)\/(1\/123). Let d = 736\/9 - u. What is the closest to 4 in i, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - 8*d + 32. Let h be m(3). What is the highest common factor of h and 833?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 5) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(10) - (-2*sqrt(30)\/sqrt(3) + sqrt(10)))*5*4)\/(((sqrt(245)*-2 - sqrt(5)) + (sqrt(5) - (sqrt(50)*2)\/sqrt(10)))*-6).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -2*h**3 - 730*h**2 = 0?\nAnswer: -365, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14076 - -14076.5. Which is the third smallest value?  (a) -4\/7  (b) -3  (c) 41  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12212 (base 8) in base 9?\nAnswer: -7182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -271.068 + 271. Let u = 0.261 + t. Round u to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -v + 3, 12 = -3*o + 8*o + 4*v. Let f be 33 + -37 - (1 - (-35)\/1). Put 1, o, f in descending order.\nAnswer: 1, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1712 = 10*m - 1762. Let u = -2 + 4. Find the third derivative of -m*f**3 + 4*f**3 + 9*f**u + 5*f**3 wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 315278, 630556, 945832, 1261106, 1576378?\n\"Answer: -r**2 + 315281*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13434 + -13428. Put n, 49, 3, 5 in ascending order.\nAnswer: 3, 5, n, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*c = -7*c + 1419 + 690 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -925090.\nAnswer: -7\/925090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -142119219 divided by 3659\nAnswer: -38841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 5*s**2 + 1. Let u be a(-1). Let z = 0 - 1. Let w be ((-15)\/u)\/(z\/2). Solve 0*o - 15 = 3*o + w*l, 0 = -o - 5*l - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 19, -140, -499, -1052, -1793, -2716?\n\"Answer: f**3 - 106*f**2 + 152*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zjzjdmam. Give prob of picking 1 j and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 5.312.\nAnswer: 1.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950 a factor of 24303526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 + 15*q - 15. Let t(x) = 2*x - 57. Let u be t(35). Calculate y(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 divided by -5001?\nAnswer: 12\/1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23583 or -24364?\nAnswer: -24364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, -7, -2, -12 in ascending order.\nAnswer: -12, -7, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 29901840?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*o + 55*o + 4*o - 62*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 PM and 4:53 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2073699\/4 + 521581. Let o = r - 3174. Calculate the common denominator of -137\/18 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -169 - 413 = -6*l. Suppose 0 = -3*w + 4*i + 266, -5*i = -w - 12 + l. What is the highest common factor of w and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -c (base 16) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**2 - 5*n + 2. Let x be f(3). Solve -5*b = 4*j - 11, 4*b - j + x = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 8:52 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x - 4*x**3 + 3*x + 0*x. Let r(g) = -2*g**2 + g - 1. Let w(s) = -2*s**3 - 12*s**2 + 7*s - 6. Let k(l) = 6*r(l) - w(l). Give -4*c(t) - 7*k(t).\nAnswer: 2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s. Let v(w) be the second derivative of -w**5\/30 - w**2 - 2*w. Let y(a) be the first derivative of v(a). Calculate y(z(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/112 + 227\/336. Let d = -36 - -110\/3. Let -q*f**2 + 0*f + d = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2 + 3 + n - 2*n + 3. Determine l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wvvwvw. Give prob of sequence vw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 148 + -161. Calculate the remainder when 131 is divided by ((-170)\/(-15))\/(y\/(-39)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1860 * 6.\nAnswer: -11160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3a4 (base 14) in base 13?\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -6.6. Let o = 245 - 244.96. What is the second biggest value in 2, n, o, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 4\/3  (b) 0.2  (c) 2.2  (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(1\/35))\/(w*w**(-18\/11)) assuming w is positive.\nAnswer: w**(641\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -11583020 divided by 10?\nAnswer: -1158302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 11:16 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 841*z**4 - 1203469*z**3 - 8475096*z**2 + 9654716*z + 23008 = 0. What is z?\nAnswer: -8, -2\/841, 1, 1438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.3556 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11858 is divided by 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -25, 4, 63, 1666 in ascending order.\nAnswer: -25, -2, 1, 4, 63, 1666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 5*w + 2, 0*w - 4*w + 8 = 0. Suppose 5*j - 55 = -0*j + 5*t, 0 = -3*j - 2*t + 18. Calculate the remainder when 348\/16 + 1\/o is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-16)\/72 - (-526)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 79*i**5 + 134*i**5 - 49*i**5 + (-155 + 155 - 27*i + (-2 - 1 + 4)*(0 + 0 + 2*i))*(-i + 5*i - i)*(i**3 - i + i).\nAnswer: 89*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 81574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.57 to two dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -3197*i**2. Let c(b) = 8*b**2 + 10*b + 15. Let m(r) = 10*r**2 + 12*r + 18. Let o(z) = 6*c(z) - 5*m(z). Determine n(o(u)).\nAnswer: -12788*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-4)\/4)\/(1\/(-60)) is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-68))\/(((-1)\/14)\/((-178)\/6230))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 4*d - 139, -5*j - d - 197 = 4. Which is greater: -42 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-1)\/(-50))\/((-2)\/95) and -5\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7\/36 - -1429\/36. Let d = -9252 + 518143\/56. Calculate the common denominator of z and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10931?\nAnswer: 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -6*f + 9. Let i(r) = r + 1. Let y(p) = 6*i(p) - n(p). Let z be y(-2). What is z rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g + 0*g - 2*g. Let i(k) = 1328 - k - 1328. What is j(i(c))?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 2 = -2*w + 2*s, -s + 11 = 4*w. Suppose 2*u - 50 = 3*h, -u + 8 = 3*h - 17. What is the remainder when u is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12915.\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of -z**4\/8 - 19*z**3\/6 - 9*z**2\/2 - 24. Solve j(d) = 0.\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 1932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 2*a**2 - 2*a + 135. Suppose 2 = -d + q, 0 = 2*d + q + q - 4. List the prime factors of p(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 142 + -139. Sort -1, -3, j, -2 in decreasing order.\nAnswer: j, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.082 - -1.218. Which is the fourth smallest value?  (a) 0.2  (b) -2  (c) l  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v + 227. Let k(s) = -6*s - 680. Calculate 14*b(l) + 5*k(l).\nAnswer: -2*l - 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31765392.8758124 - 31765401. Let s = 42.1241855 + u. Let v = -34 + s. What is v rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -5 - 2*v + 0*v + v**3 + 7. Calculate g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 28*r**3 + 5*r**2 + 22*r + 57. Let d(h) = -15*h**3 - 3*h**2 - 11*h - 29. Let k(l) = -11*d(l) - 6*s(l). What is the tens digit of k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -70 - -73. Factor 0*n**2 + 1\/4*n**5 + 0 - 1\/2*n**d + 0*n**4 + 1\/4*n.\nAnswer: n*(n - 1)**2*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 67 - -25.77131.\nAnswer: 92.77131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 + 4*o - 2. Let w = 7 - 9. Let h(r) = 2*r**2 + 9*r - 3. Let c(v) = w*h(v) + 5*b(v). Let z be c(2). What is the biggest value in 0.1, z, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-50 - 36498\/(-711))*222\/(-28)\nAnswer: -74\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14242145 - -10?\nAnswer: -14242135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 2146361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 1)\/(55 - 57)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/((2 - 3)\/49) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -156943*u. Let g(n) = 1898*n. Calculate o(g(a)).\nAnswer: -297877814*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((94\/(-235))\/(2\/3))\/(-9)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*w - 1872 = 1018. Calculate the highest common factor of w and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)*2*3 - sqrt(72))\/(2*sqrt(216) + sqrt(216)))\/(sqrt(4) + (sqrt(4) + sqrt(4)*1 + sqrt(4) + sqrt(4))*-5 + sqrt(4) - (sqrt(96)\/sqrt(4))\/sqrt(6)).\nAnswer: -5*sqrt(3)\/342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 7*k**2 - 3*k + 9. Let l be p(-6). Let z(a) be the second derivative of -3*a**3 - 17*a**2\/2 - a. Is z(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*u**4 - 1)*(-4*u + 0*u + 5*u) - u**5 + 3*u**5 - 3*u**5 - 3*u**5 + 3*u**2 + u**4 - 810 + 810.\nAnswer: -u**5 + u**4 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7)\/(-28) + (-1)\/20. Sort -0.2, 2\/11, t, 2 in increasing order.\nAnswer: -0.2, 2\/11, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*t**6*u*v + 2*t**5*u*v + 7*t**2*v + 2*u + 2*v wrt t?\nAnswer: -240*t**3*u*v + 120*t**2*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bzbn when four letters picked without replacement from iinzxibzgbz?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.04307 + -1.95693. Sort 1, 11, v, -0.5, 3 in ascending order.\nAnswer: v, -0.5, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*q - 41*q + 10*q + 15*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**3 - 2348*z**2 - 5*z**3 - 48 + 2343*z**2.\nAnswer: -3*z**3 - 5*z**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of 5*w**2\/2 + 10*w + 4. What is the derivative of y(z) wrt z?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 + 2 - 2)*(2*v**2 - 7*v**2 + v**2) in the form f*v + u + w*v**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12434 by -4.\nAnswer: -6217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2218*d**3 + 388*d**3 - 60*d**3 + 374*d**3.\nAnswer: -1516*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 2 + (sqrt(44) - sqrt(132)\/sqrt(3)))*1 - (-3 + sqrt(176)*-1 + -1))**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 - u**2 + u. Let p(h) = -8*h**3 + 6*h**2 - 6*h + 2. Let f be (2\/5)\/((-1)\/5). Let w be -8 + (-3 - f - -3). Give w*v(a) - p(a).\nAnswer: 2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*l + 32354 + 230150 = 61085. Does 60 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -104 + 111 + (45 - -1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -3*u + 2886 - 2874, 5*u = -w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*50\/(-3)*378\/(-72). Calculate the highest common factor of 245 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -38 - 106 + 5 - o**2 - 75. Let t be w(0). What is the tens digit of t\/(-14) + (-16)\/56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 34 = -1. Let l(x) = -33*x - 152. Let p be l(-5). Let v be (-9)\/24 + 6\/16. Solve v = -5*n + p + g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66656 + 43348 = -4631*n - 10402 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 PM and 9:20 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*d + 12*d + 8. Is 1\/(6174\/3086 + d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 147 and 882.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 AM and 1:36 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -626662.74062 and -4657?\nAnswer: 622005.74062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of f**3\/6 - 7*f**2 + 3017*f. Let l(q) = -8*q**2. What is l(p(r))?\nAnswer: -8*r**2 + 224*r - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-888)\/(-555))\/(36\/10). Let r(y) be the second derivative of 0 - 2*y - 4\/27*y**3 - 1\/54*y**4 - f*y**2. Find u such that r(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.6  (b) -89  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2 + 3 - 7 + 2*n. Suppose 0 = 4*j + 3*v - 42, 0 = j - 5*v - 1 + 2. What is the tens digit of z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 34, 33, 34, 37, 42, 49?\n\"Answer: h**2 - 4*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*t - 168*t - 172*t + 379*t - 3.\nAnswer: -16*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -793 (base 10) to base 15.\nAnswer: -37d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -20\/219 and -37\/30?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3111 and 30561.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate o**4*q**2 - 2*o*q**3 - 16*o*q - 10*q**3 + 27*q**2 with respect to o.\nAnswer: 4*o**3*q**2 - 2*q**3 - 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21165937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - 10. Let f = h + 10.9976. What is f rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 9*k**2 - 20. Let q(n) = 20*n**2 - 51. Calculate -13*c(h) + 6*q(h).\nAnswer: 3*h**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 7 = -3*q - 22, -5*q - 5*g = 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 2*z = -10, -4*z = -4*r - 2*z + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.2831 and 719?\nAnswer: 718.7169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from 0.34251877.\nAnswer: 0.54251877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000021521 to 7 decimal places.\nAnswer: -0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/27 and 7\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 84 = -66. Let v(c) = -c + 2*c + c - s*c. Let x(n) = 3*n. Determine x(v(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*w - 35 = -20*c - 105*w, 3*c + 5*w + 163 = 147 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**7*f**1*(f**(-1))**(-39)*(f**(-1))**(2\/61)\/((f**(-3)\/f)\/f*((f*f*f*f**(-3\/2))\/f)\/f*f) assuming f is positive.\nAnswer: f**(6279\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14497 and 2966717?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1648166.\nAnswer: 2, 13, 63391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*g, q + 40*g = 39*g + 93. What is the remainder when 938 is divided by q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/20 - (-114)\/40. Let u be ((-6)\/(-5))\/((-24)\/(-60)). Suppose -u*n - 6 = 3*i, -i = -2*i - 5*n - 18. Which is greater: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -94975 plus -0.00335?\nAnswer: -94975.00335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 10*x - 1. Let d(t) = -3*t + 1. Let v(l) = l. Let u(p) = 2*d(p) - 14*v(p). Suppose 6*o - 7*o + 6 = 0. Let y(j) = o*u(j) + 13*b(j). Determine y(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-1*(sqrt(99)*3 + sqrt(99)))\/sqrt(3))\/((sqrt(891)*2 - (sqrt(11) - (sqrt(11) + sqrt(22)\/(sqrt(2) + (sqrt(2) - sqrt(18))))))*-6).\nAnswer: 10*sqrt(3)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vioovzlsz. What is prob of sequence livv?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -r - 2*r + 560, -q - 5*r + 280 = 0. Suppose 4*c - 2*c = 340. Suppose 5*z - q = 5*t, 3*z + t = -6 + c. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**3 + 537*k**2 + k - 537 = 0. What is k?\nAnswer: -1, 1, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/2 + 664*q - 220448.\nAnswer: -(q - 664)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 93 - 76. Let v = c - 15. Factor 2\/9*a**v + 0 + 2\/3*a.\nAnswer: 2*a*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 194\/7 - 3284\/119. What is the fourth biggest value in l, -2\/9, 12, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m, 1 j, and 1 o when four letters picked without replacement from jjmmnnnomnjqmoonqnq?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 32*n + 29. Let d(a) = -a**2. What is d(w(g))?\nAnswer: -1024*g**2 - 1856*g - 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-738)\/(-697) + 2\/(-34). Sort -14, m, -5, -4.\nAnswer: -14, -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wkkkttkt. Give prob of sequence kwtk.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 - 27. Find the second derivative of -14*z**3 + h*z + 2*z**3 + 6*z wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1140 by -6.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001 plus 0.078505115783?\nAnswer: 0.079505115783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-40)*(1 + -7)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 4*i**3 + 36*i**2 - 94*i + 54. Let m(u) = -u**3 - 7*u**2 + 19*u - 11. Let c(b) = 14*m(b) + 3*z(b). Factor c(r).\nAnswer: -2*(r - 2)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - 1\/1 - 10. Is 6\/m + 622\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31146 + 31149. Solve 3*y - 4*j = -16, -h + 0 = 2*y + 5*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, m: 1, p: 1, s: 2, c: 1}. Give prob of picking 1 q and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44651813 and 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 62165518 and 5585.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.28 - -5.24. Let j = l - -0.04. Let c be (-8)\/(-6)*(-3)\/(-12). What is the second smallest value in j, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -292 = -i - 3*i. Calculate the remainder when i is divided by (-2 + 97)*(38\/(-10) - -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 922880729.\nAnswer: 353, 2614393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-16))\/((-1)\/6). Let z = -0.493192 - -0.293192. Put n, z, 0, 2 in ascending order.\nAnswer: z, 0, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 1518*m + 49129. Determine j(-32).\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-230)\/(-12) - 1\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -4*a + 94, 0*d = 4*a + 3*d - 97. Calculate the greatest common factor of 220 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (23 - 0) - 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 + 142*a**2 - 286*a**2 + a**3 + 6 + 143*a**2 to t*a + v*a**3 + m + r*a**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 - 8*w**2 - 11*w + 18. Let l be z(9). Let s be l - 8\/(3 - 7). Determine m so that -2\/3*m + 0 - m**s = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -0.2  (c) -29\/1847\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 20*p + 17*p + 34, -4*k + p + 84 = 0. What is the greatest common factor of 55 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(0 + (1*((sqrt(171) - sqrt(171)*-1) + sqrt(171))*6)\/(sqrt(81)*-3*2)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (((-23)\/15)\/(-23))\/(17\/(-5) + 3). Which is the fourth biggest value?  (a) 0.7  (b) -4  (c) z  (d) 0.5  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.51 - 1.79. Let b = -2 - k. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27971, -28044, -28117, -28190, -28263, -28336?\nAnswer: -28409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1db2 + -d0?\nAnswer: -1e92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -46, -17, 63, -43 in descending order.\nAnswer: 63, 3, -17, -43, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28 in 27, 4491, 4\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0605 * -5.\nAnswer: -0.3025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 679154505 and -0.31.\nAnswer: 679154504.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yypzzypyzh. Give prob of sequence ppz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 265713 + -4?\nAnswer: 26570a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1476 and 3854?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 402 - 347. Let s = -25 - -27. Suppose 3*h = s*t + 2*t - 88, t = -h + 15. What is the remainder when a is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*b**6*u - 953231*b**6 + 2*b**2*u + 387*b**2 + 9*b*u - u wrt b.\nAnswer: 360*b**3*u - 114387720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1875 divided by 5?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-3 + 4) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 29940 divided by 3?\nAnswer: 9980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 15.08619450475.\nAnswer: 14.08619450475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 638800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 17 = -2*x, 0*x + 2 = h - 3*x. Suppose -5 = -h*t - 5*d, -2*d = 5*t - 4*d - 19. Solve -3\/2 - t*a**2 + 3\/4*a**3 + 15\/4*a = 0 for a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101021021220 (base 3) in base 13?\nAnswer: -1c8b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 * 78534.94\nAnswer: 3141.3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4659554010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (88\/924)\/((-8)\/36)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 32*p + 7. Let l(g) = 48*g + 11. Suppose 19*r - 27 - 145 = -20. Determine r*t(n) - 5*l(n).\nAnswer: 16*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -787 = 9*m + 617. Is -154 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 5*j = 4*x - 18, 3*j = 2*x + 3. Let k(m) = -x*m - 3*m**2 - 2*m**2 - 4 + 2*m**2 + m**3 + m**2. What is the units digit of k(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7820.9 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of t**8\/560 + t**7\/350 - 3*t**6\/200 - t**5\/100 + t**4\/20 - 38*t**2. Suppose m(g) = 0. What is g?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72295101.\nAnswer: 3, 17, 131, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-13)*t)**(-9) assuming t is positive.\nAnswer: t**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (-12 + 11 - (-8 + -2) - -84).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/260 and -45\/1027.\nAnswer: 20540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12770, -51064, -114886, -204236, -319114?\nAnswer: -459520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 1054*p + 10. Let m be (3\/2)\/(1*3\/(-30)). Let u be d(m). What is u rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 654283 is divided by 1158.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389452 is divided by 214?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide ((-13248)\/(-24))\/(1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1261692 - -674.6?\nAnswer: -1261017.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 15 = p - 4*p, 3*p = c + 15. Suppose s + 6 = 4*b, p*b + 3*s = -s + 18. Solve 2*x - 5*x = -2*t - 2, 0 = -x - b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20233 + -11?\nAnswer: -20310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 10829\/(-98)*(-36)\/153\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22156*-3.4.\nAnswer: 75330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from nni.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 25?  (a) 3  (b) 4  (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 2*q + 3*q - 28, o = 3*q. Let s = 36 + -29. Let x(f) = -3*f**3 + f**3 + s*f**2 + 187 - 184 - 6*f + f**3. Give x(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155225171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 69970 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6253051 and -0.4.\nAnswer: 2501220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 146*k - 1. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 0.1245672ms?\nAnswer: 0.000000034602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 169205\/27 + -6267. Which is greater: 60 or x?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-1)\/22)\/(-7*(-5)\/210).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1801190 to the power of 1\/2, to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h - 823 + 1187 = 0. Let i = 49 + h. Let u = -0.4 + 0.2. Sort i, -0.3, -1\/6, u in increasing order.\nAnswer: i, -0.3, u, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = 2*a + 2*a + 5*n, -5*n - 21 = 3*a. Let i = a - -12. Suppose i = -2*q + 6 + 22. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + -30. Let r(x) = x**3 + 18*x**2 + 15*x - 24. Let m be r(j). Suppose -d + q + m = 0, 2*d + 0*d = 3*q + 21. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 2342.\nAnswer: 9368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + s - 2*i = -6, -3*s = 5*i - 15. Let b(g) = s + 51*g**2 + 7 - 5*g - 6. Is b(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4*w**2 + 77*w - 339. Determine v(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(128) - sqrt(128)) + sqrt(128) - sqrt(882)\/sqrt(9))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 8823 + 2*o**3 + 0*o**3 - 8828 - 71*o in the form l + t*o**3 + v*o**2 + w*o and give w.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(3\/2) - (2 - -259). Let o = j + 387. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-53312)\/(-4352)*(-8)\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3695*x - 3684*x = -2*s - 125, 2*x = -22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 0.5  (c) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 490 - 273. Suppose 7*n - y = -0*n. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 10\/17*x**5 - 1008\/17*x**3 + 1184\/17*x - 400\/17*x**2 + 480\/17 - 266\/17*x**4 = 0.\nAnswer: -2, -2\/5, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 111 - 1237470?\nAnswer: -1237357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*l = 73, 0 = 4*z - 0*l - 2*l - 138. Let d(w) = -z + w**2 + 35. Let b(i) = 8*i**2. Determine b(d(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 74 - 74. Solve 0 = 4*y + z - 24, t*y - 3*z = -4*y + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (2\/(-22))\/((-15)\/145) and 50\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-10) - (-110)\/(-200)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yjt when three letters picked without replacement from {s: 1, x: 1, t: 1, p: 1, j: 1, y: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**5 + 288*q**4\/7 + 135*q**3 - 150*q**2 - 5076*q\/7 + 216 = 0 for q.\nAnswer: -7, -6, -3, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110338.\nAnswer: 2, 43, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f + 3. Let z be a(-3). Let u be ((-9)\/z + 26)*2. Let p = -10 + u. What is the remainder when p is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = -0 - 0. Let x be 1 + (-2 - (-3 + (2 - d))). What is the second derivative of -3*j + x*j**2 + 8*j + 12*j**2 + 4*j wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000005422995 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.938 - -0.062. Which is the smallest value?  (a) l  (b) -2\/55  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 AM and 7:46 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 227*w**2 + 34*w + 75. Calculate k(-3).\nAnswer: 2016","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2 + 256705*b + 1540293. Give l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -4*g**3 + 10*g**2 - 2*g + 6. Let s be m(4). Let r = s - -64. Let o(c) = 5*c. Let x(t) = t. Determine r*x(b) + 6*o(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 627\/4390 + -372209\/1935990. Calculate the common denominator of 57\/490 and o.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 2190aa?\nAnswer: 219101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -9*r + 20. Suppose -28*u + 20 = -23*u. Solve -5*x - r*a + 19 = 0, u*x = -a - 0*a + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1735, 1739, 1743, 1747?\n\"Answer: 4*n + 1731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -51*l**3 + 20394*l**2\/5 + 17232*l + 2016\/5 = 0.\nAnswer: -4, -2\/85, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hqqh when four letters picked without replacement from qhqhhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*b = 34*b + 616 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from dmsmsmfsmmsssmsm.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -4433*z + 4432*z - 6*z**2 - 56 + 144*z**2 as d + m*z + f*z**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 + 15. Let v = 6562 + -6560. What is the lowest common multiple of i and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 17 = 2. Let j(o) = o + 3*o - x*o. Let r(u) = 3*u + 2*u + 2*u - 4*u. What is r(j(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -29*x + 8. Let h be a(-5). Let b = -114 + h. Let y = 36 + -26. Calculate the remainder when b is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -17*h**3 + 127*h**2 - 126*h. Determine j(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**2\/7 + 608605132*g\/7 + 46300025837092178\/7 = 0. Calculate g.\nAnswer: -152151283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 5 - 2115*k - 2110*k - 2140*k + 8364*k - 2157*k.\nAnswer: -158*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}