{"text":"Question: Let i = -83 + 83. What is the nearest to i in -3, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 - -31. Suppose -9*n = -y*n - 149. Let k = n + 228. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 660*n + 20 = 656*n, 0 = -2*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1393394.8 to the nearest 1000.\nAnswer: 1393000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/6 + 460\/40. Let g(a) = 2 + 10 + x + 6 - 27 + 6*a. Let o(u) be the first derivative of 5*u**2\/2 + 2*u + 1. Give -3*g(r) + 4*o(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from coccooccococl. Give prob of sequence cl.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002040688 rounded to 5 dps?\nAnswer: 0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -393039.1 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.07409 and -213.29689945.\nAnswer: -213.37098945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 41 = -41. Suppose m*c - 4*c = y - 174, 3*y - 3*c = 507. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -14\/10165209?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = w. Let y(n) = n - 3. Let l be y(5). Let d(h) = -h**3 - h + 1 - 29*h**2 + 28*h**l - 3. Determine d(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h + 10. Let y be a(8). Suppose -y*i - 3*i + 20 = 0. Let m = 2585 - 2567. Solve i*z - m - 2 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1056)\/(-220))\/(12\/(-30))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -38 + 43. Which is the third smallest value?  (a) v  (b) 1\/3  (c) 2  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -30122201?\nAnswer: -30122203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.1  (b) 8  (c) -0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/1)\/(18\/644400000). Round m to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of -y**5\/20 + 25*y**4\/24 + y**3\/2 - 105*y**2. Let l be d(8). Solve 3*t - 5 + l = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 6*b + 723 = m, 3*b - 2*m - 426 = 0. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4265966 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 10678417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 28*p - 14. Let m be s(-31). Let j = 110 + m. Solve -j*y + 3 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*w**3 - 1 - 2*w**4 + 0*w + 9*w**3 + 7*w**4 + 2*w to the form r + d*w**2 + f*w**3 + a*w**4 + h*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/900 and 67\/1800.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 687 = -265. Is 4 a factor of 6\/33 - h\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 266 and 2926?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2971*0.3\nAnswer: 891.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(3*3\/45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 13 - 26 - (5 - 9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -169*z + 34*z**4 + 2*z**3 + 91*z - 2*z**3 wrt z.\nAnswer: 408*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 - 14. Suppose -1 = -4*n - 4*p + 7, -2*p = -4*n - 16. Let v be (57\/z)\/((-1)\/n). Solve 0 = -5*m + f + 10 + v, -4*m + 12 = 2*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2110 and 218.\nAnswer: 229990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -463090903 to the nearest 100000.\nAnswer: -463100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5980850 and -2.\nAnswer: 11961700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (3*((-1976)\/(-65))\/2)\/((-16)\/40)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/9)\/(2\/3). Let h = o - -2. What is the second derivative of -7 + 4 + 3 + 8*b**4 - h*b wrt b?\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y. Let q(m) = -4613653*m + 10. What is g(q(f))?\nAnswer: 4613653*f - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -191.9493 and -13.\nAnswer: 2495.3409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -15*s**3 + 3016*s**2 - 209*s + 1569. Calculate z(201).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 782 and 3784489.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fddccdfc. What is prob of sequence dfd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 2, 1, 4, 0 in increasing order.\nAnswer: 0, 1, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -9717 divided by 3\nAnswer: -3239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 + 6*v + 3. Let f be r(-5). Suppose 50 = 3*p - c - 45, -2*p - 3*c + 67 = 0. What is the tens digit of (6\/(-8))\/(f\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -577687*n**2 + 6*n + 577690*n**2 - 6*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from kkkkwrhrk.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 8 - 3. Put 0, p, -6 in descending order.\nAnswer: 0, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-61*w + 97 - 97)*(-1 + 2 - 3) + 5 - 28*w - 2 + 0.\nAnswer: 94*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 85285 less than -2?\nAnswer: -85287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/2, 5, 7.1, -2\/7, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 + (61\/16)\/(110\/10 - 10). Sort s, -0.3, 4\/3, 1.7 in increasing order.\nAnswer: -0.3, s, 4\/3, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/5 - 23*y**2\/5 - 122*y\/5 - 32.\nAnswer: -(y + 2)*(y + 5)*(y + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of -3*i**4 + 0*i**5 + 0 + 0*i**2 - 1\/28*i**8 + 0*i**7 - 12*i + 0*i**6 + 0*i**3. What is the third derivative of j(t) wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -4*r - 55. Let c be z(-15). Suppose -15 = -0*j - 3*j. Suppose 3*p + c*x = 13, p - j*p + 4*x + 60 = 0. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v. Let y(g) = -8*g + 1. Let u(x) = 41*x - 6. Let a(z) = 2*u(z) + 11*y(z). Calculate -a(j) + 4*r(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -29174.8 + 21542. What is q rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**3 - 83004125*x**2.\nAnswer: 5*x**2*(x - 16600825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6*((-1)\/(-2) + 0). Suppose -37 - 11 = -3*v + 4*y, 91 = 5*v - u*y. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -597 + 1211. List the prime factors of y.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4514303000 to the nearest 1000000.\nAnswer: 4514000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -1\/23  (b) 1\/3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 10*f**3 + 12*f**2 + 1. Let i(d) = 11*d**3 + 15*d**2 + d + 1. Let u(l) = 3*i(l) - 4*n(l). Determine u(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(468)*-2 + sqrt(468) + 0 - sqrt(468)) + ((-1 + sqrt(468) - sqrt(468)) + 2 - sqrt(468))**2 + (sqrt(117)*3*1)\/(-6*-1*sqrt(9)).\nAnswer: -47*sqrt(13)\/2 + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 222393014 to the nearest integer?\nAnswer: 14913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/1)\/140)\/((-1356)\/(-10848)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2617001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 39\/130 - (64\/30 + -2). Which is the third biggest value?  (a) -0.3  (b) -0.01  (c) -1\/3  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 3*i - 2*i - 4 - 2*i. Let d be g(-7). Differentiate 1 - 3*r + 1 + r**3 + d*r wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2275 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -285.2 - -285.2009516. What is a rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = v - 0*v. Let u = v - -22. What is the greatest common factor of u and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(14\/18)*(-14)\/(-1449)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 12*v**2 - 23*v - 33. Calculate z(-14).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17.47 + -17.4696296. Round c to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46746 and 16807.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*f = -3*f - 19, 4*f + 92 = -5*o. Let b = -13 - o. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 + 25*h**2 - 18*h - 102. Calculate the remainder when z(24) is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (185\/259)\/((6\/(-14))\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76792, 77333, 77870, 78403?\nAnswer: 78932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3680*s - 3683*s - 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s**3 + 2*s**2 - s - 1. Let j(d) = -35*d**3 + 14*d**2 - 6*d - 7. What is -j(g) + 7*l(g)?\nAnswer: 21*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -4) + ((0 - 5) + 2 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -882 - -885. Which is the nearest to -2?  (a) -2  (b) -1\/5  (c) 7  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 530, 611, 690, 767, 842?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11\/(-5 + 16)*(3 + 1436).\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + i + i)*(1 + 2 - 5)*(-1 - 3 + 3).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -3*m - 16. Let k be w(-10). Suppose -17*q = -k*q + 1242. Let y = 629 + q. What are the prime factors of y?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t**3 - 12*t**2 + 176*t + 18. Is w(9) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + 46 + -92 + 27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 585*t**3*x - 18583*t**2*x + 4579055*t - 2*x wrt t?\nAnswer: 3510*t*x - 37166*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/2)*x**3)\/(x**(-1\/10)\/(x**2*x)) assuming x is positive.\nAnswer: x**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1846526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2 = -2. Suppose 6*l - 4 = 2*l - 2*q, -5*q = -3*l + 29. Solve -2*x - y + l = -8, b = 5*y - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**2 + c**3 - 2*c**2)*(-c + 4*c - c) + 0*c**4 - c**4 + 3*c**4 + 13*c**4 + 27*c**4 - 12*c**4.\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -57 in 0.08, 1, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/7 and 63\/82?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 39616 at least as big as 39445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4, -b - 32 = -4*j + b. Let x = 1 + -1. Calculate the remainder when 37\/((2 - 1) + x) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*r + 82 = 156 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.75 - 0.25. Let g = 3.6 - 4. Let p = -3176 - -3174. Sort h, p, g.\nAnswer: h, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 23084861*n**2 + 20403*n - 40806. Let w(i) = -2263*i**2 - 2*i + 4. Determine 2*h(m) + 20403*w(m).\nAnswer: -2267*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 841*f**2 - 19*f - 10. Let v be p(-26). Round v to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 4*o - 1. Let s be h(1). Suppose -s*q + 285 = -225. Suppose -q = -6*i + i. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 16*x = -0*n + 72, 0 = 163*x - 166*x - 9 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1444\/1059?\nAnswer: 1444\/1059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -q**4\/2 - q**2 + 3*q - 9. Let u(l) = 2*l**3 + 3*l - 4. Calculate 4*u(b) + 5*z(b).\nAnswer: -2*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3\/7 - 36*a**2\/7 + 384*a\/7 - 832\/7.\nAnswer: -2*(a - 4)**2*(a + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 5 + 22. Let k = -254 + -52. Let t be (k\/(-4))\/((-1)\/(-2)). Calculate the highest common factor of b and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = -33 + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the first derivative of -7*b**5\/120 + b**4\/3 - 7*b**3\/3 + 13. Let o(q) be the third derivative of k(q). Is o(-10) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - 2*r + 0*r)*(-2*r**2 + 4*r**2 - 4*r**2) - 2*r**3 + 3*r**3 + 3*r**3 + (2*r**2 - 4*r**2 + r**2)*(-2*r + r + 2*r).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 4:39 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2467 + -0.2467. Which is the closest to w?  (a) -2\/7  (b) 2  (c) 0.4  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 850.6470264 and 0.1.\nAnswer: 850.7470264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 663 = 6*m + 3*c, -3*m = -2*c - 1947. What is the remainder when m is divided by 56?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 - -13. Let t(a) = -a**3 + 22*a**2 - 12*a - 21. Let g be t(21). Let x = v + g. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*v - 41*v + 78. Let w = 42 - v. Suppose -2*t = 8*k - w*k + 23, 4*t - 2*k - 14 = 0. Solve -5*x = 3*a - 10, 2*x + a - t - 3 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 90 = 2*m, u - 235 = -4*m - 2*u. Let h = m + -50. Suppose 0 = 2*p - 2*z - 10, h*p + 5*z + 17 = 2*p. Which is bigger: -4\/31 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.21 to one decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -212*u**2. Let v(w) = -25*w**2 + 4. Let s(c) = -88*c**2 + 14. Let k(p) = 6*s(p) - 21*v(p). What is i(k(t))?\nAnswer: -1908*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(11) + 0 + -2)**2 + -3.\nAnswer: 17 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4518 and 780610.\nAnswer: 7025490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 4*y. Let g be j(1). Let o = 90 + 138. Suppose o = -0*b + g*b. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1901658 <= 13311616\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -349*m + 347*m + 10. Suppose -5*t = -10*t. Suppose -5*c = -0*x - x - 9, -x - 4*c + 9 = t. Sort x, m, -5, -2 in decreasing order.\nAnswer: m, x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(152)*4)\/(-2*sqrt(72))*-1.\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 234*u - 872 = 242*u. Let j = u - -109. Solve -7 + j = -7*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u - 5. Give o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 757859965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20\/9 + 49\/18. What is the second smallest value in 0, -2\/41, 5, u, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -9 - 3*f + 16*f - 12*f - 1. What is d(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 420661 less than 420660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -769270*0.07.\nAnswer: -53848.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/3 + 12\/8 + -2. Determine v so that -6*v**2 + a*v - 1\/2 = 0.\nAnswer: 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 45754871\nAnswer: 22877435.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is a1fe1d (base 16) in base 7?\nAnswer: 156144312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of j**4\/4 - 72*j**3 + 7776*j**2 + j - 87. Factor t(p).\nAnswer: 3*(p - 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 488932186?\nAnswer: 2, 31, 97, 81299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*m - 543*m**3 - 14*m + 30*m.\nAnswer: -543*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = 7*a + 1, 5*f - 4*a - 12 = 17. Solve -4\/3*b**f - 8\/3*b**2 - 4*b + 8\/3*b**4 + 0 + 16\/3*b**3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 less than -0.257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52212 is divided by 51950?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of 0*y**4 + 0*y - 1\/60*y**5 + 0*y**3 + 0 + 2*y**2. Let i(m) be the third derivative of m**5\/12 + 3*m**2 + 2. What is i(f(r))?\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 12*s. Let r(v) = -3*v. Let w(q) = -2*q. Let g(c) = -2*r(c) + 5*w(c). Calculate g(y(k)).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4\/6*((-108)\/54)\/(4\/(-1))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/8 - 299\/92. What is the remainder when 70 + (l - (-8)\/(-4)) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.1, -76, 2, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43*b*j**2 - b*j - 2*j**2 - 24*j wrt j.\nAnswer: 86*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + 54\/(-21) - -2. Let h = 13 + -9. Suppose w = -t + 3 - 8, 0 = h*w - 5*t + 20. Which is the second smallest value?  (a) 0.4  (b) w  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10367?\nAnswer: 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1380525 divided by 17475\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g**4 - 245*g**3 + 19965*g**2 + 194645*g + 174440 = 0. What is g?\nAnswer: -89, -8, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k\/(k\/(k\/(k**(-4)\/k))))\/k)\/(k*k*k*k*k**(1\/10)*k))**(-1\/13))**(2\/5) assuming k is positive.\nAnswer: k**(1\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2236993718 to the power of 1\/2, to the nearest integer?\nAnswer: 47297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2454, -9786, -21998, -39090, -61062, -87914, -119646?\n\"Answer: -2440*c**2 - 12*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 44310998323 - 44310997944.999999268. Let t = r + -378. What is t rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1750816 is divided by 17863.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-429216 + 1240*m**2 + 429216)*(4 + 5 - 2) - 4*m**2 - m**2 + m**2 + 1 in the form g*m + f*m**2 + n and give f.\nAnswer: 8676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2357 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 + 2085*l - 344627. Calculate j(181).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from crcccrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30169*k**2*x**4 - 10*k**2*x**3 - 6*k**2*x + 53942*k**2 wrt x?\nAnswer: 362028*k**2*x**2 - 60*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66789222?\nAnswer: 2, 3, 53, 139, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 306 - -253?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/(-10)*-5)\/(-7 + 0). Let w be 123\/12*(3 - 0). Let v = w - 31. What is the closest to -1 in 0, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 182 + -1537099?\nAnswer: -1536a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/((z*z**(-4\/7))\/z))\/z**(-7)*((z**(1\/4)*z)\/z)**33)**(2\/135))**(-5\/6) assuming z is positive.\nAnswer: z**(-499\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -3*h**2 + 66*h + 12. List the prime factors of q(20).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000103649 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -96, 1\/11, 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42912 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, w: 8, z: 2, k: 1}. What is prob of picking 3 e and 1 w?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -1, 0.05, 0.12484, 0.09?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -113, -232, -353, -476, -601?\n\"Answer: -w**2 - 116*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4046.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 195 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1061\/236703 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 + 10*m + 127. Let n be q(-7). Solve 5*j - 2*j = 5*i + 9, 4*i = 2*j - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 131.1 + -131. Which is the biggest value?  (a) -0.4  (b) 3\/5  (c) r  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*j**3*n**2 - 3*j**3*n - 14*j**2*n**2 + j**2 + 6*j*n**2 wrt j.\nAnswer: 18*n**2 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 402 a factor of 3450056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 211319941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/20 + 2\/(-4)*-7397. Let h = 6229 - j. Differentiate -h*t**3 - 12*t**4 + 2531*t**3 - 13 with respect to t.\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-146)\/(-3)*3\/2. Let m = s - 12923\/177. Let k = -124\/531 - m. Which is the second smallest value?  (a) 4  (b) k  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1457 - 2355238.\nAnswer: -2353781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -36*x**3 - 9 - 57*x**3 - 4*x**3 with respect to x.\nAnswer: -291*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y, 1 s, and 1 a when four letters picked without replacement from {s: 2, a: 3, w: 2, y: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1069*c**3 + 0*c - 6*c + 1063*c**3)*(-9 - 73 - 1).\nAnswer: 498*c**3 + 498*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1003 is divided by 450.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o + 222976 + 1063388 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (2 + 4 + -5 - -8 - -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 3)*(3*f - 6*f + 2*f) + (2198 - 33*f - 2198)*(3 + 0 + 3).\nAnswer: -199*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 5*a - 3*a + 2*a + a. Suppose 11*o + 78 = 14*o. Calculate the remainder when o is divided by h(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*r = -5*l + 7*l - 1458, -4*r + 64 = 4*l - 44 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.9914369*5\nAnswer: -4.9571845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17830*l + 18723 wrt l.\nAnswer: 17830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 236444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/3*(225\/18 + -10 - -2). Let a(g) be the first derivative of 0*g + 2\/5*g**2 - h - 14\/15*g**3. Factor a(i).\nAnswer: -2*i*(7*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*d + 57*d + 1512 = -81*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1552 a factor of 459946064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 14 + 0 + (-2 - 1). Let m = 12 - v. Let j = 23\/3 + -206\/27. Which is smaller: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h + 6*h - 2*h + 1 - 3*h. Let b be m(-1). What is the second derivative of -27*s**2 + 15*s**2 + 16*s + 5*s**b - 29*s**2 wrt s?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9\/11?  (a) 2\/21  (b) 1  (c) -1  (d) 34  (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**2 + 3*w - 9. Let x be z(9). Let n = 7592 + -7562. What is the greatest common divisor of n and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i + 3*i + i + i + 2*i + 0*i + 5*i - i - 2*i + (-4*i + 2*i + i)*(-6 + 1 + 3).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/3 in 0.4, 81754, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*h + 5*h - 3 - 4*h)*(0 + 0 + h**3) as m*h + d*h**2 + l*h**4 + p + i*h**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 128979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 5  (b) -1\/3  (c) 48\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/7)\/i*i**0)**(-2\/13)*(i**(-1\/3))**(5\/16)*i**(-2\/15)*i*i**(-2\/11)*i assuming i is positive.\nAnswer: i**(144181\/80080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21029 is divided by 6435.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -179\/4  (b) 1  (c) -0.3  (d) -2\/13  (e) -1\/11  (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**2 + 354*f - 2640.\nAnswer: -3*(f - 110)*(f - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (2 + sqrt(21)\/sqrt(3) - (sqrt(63) + 1 + sqrt(63))) + (4*sqrt(84)*-1)\/(((sqrt(12) - sqrt(192)) + sqrt(12) + sqrt(12))*-4))**2*-5.\nAnswer: -1280 - 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -962 divided by 58.\nAnswer: -481\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -2.01. Let m = s + -0.11. Let l = 15\/7 - 149\/63. Which is the closest to m?  (a) 0.3  (b) -0.4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 550930 is divided by 550902.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 5\/2, 190, -5 in increasing order.\nAnswer: -5, -0.2, 5\/2, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 15*w - 61. Let t be v(4). What is the units digit of 281 - (5 + t + -6)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 4:12 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/8, 283, -4\/23?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -6*i - 5925. Is i\/(-15) + (-4)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.216 + -0.165.\nAnswer: 7.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17109585.\nAnswer: 3, 5, 23, 61, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -4*(1*-3*(sqrt(180) + 2) + 0 + -2 + -3 + (sqrt(5) - (sqrt(5) - (0 + sqrt(5))))).\nAnswer: 40 + 68*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-168)\/360*(12\/(-10))\/(12068\/2155).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**8)**(1\/49))**(2\/41) assuming d is positive.\nAnswer: d**(16\/2009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g*g\/g**(-18))\/g*g*g**(-3\/2)*g)**20 assuming g is positive.\nAnswer: g**410","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**2\/6 - 40*n - 241\/6 = 0.\nAnswer: -1, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 - 24. Solve -r = -0 + v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*m + 6*m - 4*m + (2 + 0 - 1)*(4*m - 5*m + 4*m) + 2*m + 2*m - 5*m)*(0 + 4 - 1)*(3*m - 2*m + m) to the form u + q*m + x*m**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/3))**(-43)*(a**(1\/7)*a)\/((a**3\/a)\/a))\/((a**(-2\/3))**(1\/10)\/(a**(1\/8)*a**(-4))) assuming a is positive.\nAnswer: a**(2987\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 202370579.\nAnswer: 47, 709, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -q**2 - 14645. Let y(t) = 3*t**2 + 2*t - 26. Let h(n) = -9*n**2 - 7*n + 78. Let m(b) = 2*h(b) + 7*y(b). What is m(d(k))?\nAnswer: 12*k**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 10:54 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**5 + 1052*o**4 - 1054*o**3 = 0. Calculate o.\nAnswer: -527, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 123 and 333453?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 + 24. Let r(a) = 2*a**3 - 3*a**2 - 3*a + 2. What is the units digit of r(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 4 + (-4 - 1) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -492 + 291. Let o = 215 + m. Solve -10*i = -o*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -258357, -258376, -258395, -258414, -258433, -258452?\n\"Answer: -19*i - 258338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -640195109\/241410 + -7\/24141. Let g = 2657 + b. Find the common denominator of 145\/6 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 - -55. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73622 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -366 - -89. Let x = f + 2372. Suppose -2*d = 0, 4*h + 4*d = -h + x. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 3262634*d**2 - 24 - 3262633*d**2.\nAnswer: d**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147*g - 4 = 145*g. Factor -47*a + a**2 + 9*a - 19*a - 51*a**2 - 55*a**g + 54 + 6*a**3.\nAnswer: 3*(a - 18)*(a + 1)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 286*o**3*t**2*z**2 + o**3*z + 4*o**2*t**2*z - o**2*z - 2*t**2*z**2 wrt z?\nAnswer: 572*o**3*t**2 - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3 - 1) + 6291\/(-36)*(-64)\/24?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 234 and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 64275 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away 282?\nAnswer: -282.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000036 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 + -31 + -57 + (7 - (0 + 7))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 371444, 0.1, -0.08?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f + 10. Let j be o(7). Let y = -428503\/30 - -14281. What is the common denominator of y and (j\/(-18))\/(22\/(-228))?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7399 + 3205. List the prime factors of s.\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -8*y - 6. Let h be (-14 + (-1056)\/(-60))\/(4\/10). Suppose 2*c + 20 = 6*v - h*v, -3*c = 4*v + 28. Give x(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 - 5\/(25\/(-35)). Suppose 4*d = -m, -5*p + 3*d + 28 - 5 = 0. Suppose 3241 = 3*w - 2*t, 0*w + p*t + 1097 = w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 417495 and 1391650?\nAnswer: 4174950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12527.\nAnswer: 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 3*p. Let a(o) = -4*o. Let r(v) = 4*a(v) + 4*q(v). Let d(t) = 18*t**2. Determine r(d(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 1074*s - 440*s - 644*s.\nAnswer: -10*s + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 + 20\/(-5))\/2. Solve u*w - 4*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 9, 0 = 5*i - 4*f - 129 + 126. Solve -i*j + 2 = 2*m - 18, -5*j + 32 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 - 2 - (185 + -228)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1077 from -0.3.\nAnswer: -1077.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 38293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 666188 and 68916?\nAnswer: 1998564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -182\/379 - -8391\/35626. Calculate the common denominator of -26\/47 and a.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 415361807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96*h**2 + 7*h**3 - 22*h**3 - 89*h**2 + 11*h**3.\nAnswer: -4*h**3 - 185*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -12. Sort 1\/5, p, 1 in descending order.\nAnswer: 1, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 2432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 15513*q + 31028*q - 16*q**2 - q**4 - q**3 - 15514*q to the form h*q + o*q**3 + z*q**2 + p*q**4 + i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1274463314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + 720213172.\nAnswer: 720213172.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 5*w - 30. Let u be r(7). Solve 3*g - u = 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-134)\/335)\/((-2)\/(-30))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*x - 13951 + 93151 = 73*x. Solve -x*y = -396*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 305\/(-40) - (-2100)\/280?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-75)\/(-7) - 12)\/(2\/(-14)). Solve -3*p + 5*p - 6 = 4*r, 0 = -3*p - 5*r + z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -7*v + 102. What is g(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -3*k + 21 - 4, 0 = -k + 3*r + 7. Suppose 4*q = -2*v + 318, -k*v + 179 = -3*q - 446. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2643, -2901, -3159, -3417, -3675?\nAnswer: -3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/8 + ((-42)\/72)\/(-7). Let w = -59.6 + 60.6. Let j = 332\/15 - 22. What is the fourth smallest value in d, j, 3\/10, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1030\/17 - -5201\/85. Which is the biggest value?  (a) -1.178  (b) 3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1747201374 to the nearest integer?\nAnswer: 41800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 2:55 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 208 = -24. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6871, 13655, 20443, 27241, 34055?\nAnswer: 40891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35.34503nm to micrometers.\nAnswer: 0.03534503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -48939*f + 49062*f + 2460 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeseggtztggg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 265*i**2*r**4 - 7*i**2*r**2 - 30*i**2 + 3*i + 1 wrt r?\nAnswer: 1060*i**2*r**3 - 14*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183 + 27 - 159 = -21*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(140) - sqrt(140)*4)*-1)\/sqrt(7))\/(sqrt(90) + 5*(5*sqrt(90) + sqrt(90) + sqrt(90))).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3536 and 192.\nAnswer: 42432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, -1 in increasing order.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.096 plus 351?\nAnswer: 350.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*m**2 - 11888*m - 7928.\nAnswer: 2*(m - 1982)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*g**2 + 1382*g - 7*g**3 - 1382*g)*(25*g**2 - 121*g + 121*g).\nAnswer: -175*g**5 + 175*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (472\/295)\/(1\/(10\/(-4)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 1\/8, -1\/4, -166, 2, 1\/9 in increasing order.\nAnswer: -166, -6, -1\/4, 1\/9, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.17 - -1005201669.\nAnswer: 1005201669.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0297313898 to 4 dps.\nAnswer: 0.0297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 70*p**2 + 217*p - 755. What is the remainder when n(67) is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*r + 636 = -105 + 69. Let x(d) = 18*d**2 + 13*d + 2. Let v(q) = -9*q**2 - 7*q - 1. Give r*v(f) - 4*x(f).\nAnswer: -9*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2866 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l + 5 - 24 + l. Let x be u(-23). Solve -x = 4*r, n + 2*r + 3 = -r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 3\/9210299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2394 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, -0.008, -2\/7 in descending order.\nAnswer: -0.008, -2\/7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the first derivative of n**3\/3 - 4*n**2 + 12*n + 7. Let z be j(8). Suppose z = 5*i - 3. Is i not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 3, 31.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s. Let p(n) = 16169*n**2. What is p(c(q))?\nAnswer: 16169*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/10 + 450077\/(-5). Let p = l + 128419. Let q be ((-275)\/3)\/(-2 + p\/19200). What is q rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of -u**4\/12 - u**2\/2 - 4*u. Suppose -2*f = 2*p + 14, 4*p - 10 = -2*f - 28. Let z be 1\/(-2)*2 - p. Give k(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of -3*o**6 - 4*o**5 + 9*o**4 + 40*o**3\/3 - 9*o**2 - 20*o - 1141. Determine h, given that k(h) = 0.\nAnswer: -10\/9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2941)\/595 + 5 - (-190)\/2800.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 3*y**2 - 85*y - 6. Let z be d(28). What is the remainder when 73 is divided by (z\/(-17))\/((-1)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 157 in 0, 0.0403, -24?\nAnswer: 0.0403","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 12:05 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (75\/(-6))\/5*10*-166. Round c to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-14) + (-2145)\/(-105). What is the greatest common divisor of 65 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2939454 and 37554?\nAnswer: 32333994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3309)\/6)\/(8\/30). Let z = c + 2079. Find the common denominator of 20\/3 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m - 5*m - 3 + 7. Let n be ((-8)\/(-6))\/(15\/180). Suppose -7*p + 3*p + n = 0. Give a(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3 - -0.2. Let s = 127.2 - 127.5. Which is the third smallest value?  (a) k  (b) 4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -41\/5, -1, 4, 15?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p**4 + 2*p**4 - 4*p**4)*(-1 + 6 - 2)*(8*p + 4*p - 2*p).\nAnswer: 30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (35 - 16) + 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -4*v - 13. What is a(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 0 - 33 + 15 + m**2 + 0. Let s be t(5). Suppose 6*r - 28 = -10. Solve -v + r = s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35052 (base 7) to base 15\nAnswer: -29c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/(-84)*-18 + -2. Is 18 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32530544?\nAnswer: 2, 2033159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, -5, 15 in descending order.\nAnswer: 15, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5384 + -5361. What is the highest common divisor of 6463 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -396, -787, -1178, -1569, -1960, -2351?\nAnswer: -2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 6*x + 4*x)*(278*x**2 - 278*x**2 + 632*x**2)*(-2*x - 3*x + 3*x).\nAnswer: 1264*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.4 - -0.9. Let s = 55\/2 - 27. What is the closest to 0.1 in s, -2\/5, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0585933 rounded to 3 dps?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 366881, 1467509, 3301891, 5870027, 9171917, 13207561, 17976959?\n\"Answer: 366877*d**2 - 3*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 - u**2 + 5)*(1 - 1 + 2) - u**2 - 1 + 1 + u**2 + 4*u**2 - 3*u**2 - 5*u**2 + 2*u**2 + 2*u**2 + 35)*(67 - 67 - 27*u**2).\nAnswer: 54*u**4 - 945*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z + 3 - 3)*(28*z + 39*z - 242*z - 180*z)*(2*z - z + 0*z) as g*z**2 + m + c*z**3 + y*z and give c.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 + 6*f - 5. Let g be d(-5). Let o be (-3 - 26\/g)*-5. Suppose -o*z = 4*m - 22, -z + 5 = m - 5. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*-1*sqrt(360))\/(6*sqrt(81)))\/(sqrt(512)*-1 + sqrt(512) + 6*(-3*sqrt(8) + sqrt(8))).\nAnswer: -sqrt(5)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21 - -661. Is f a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16.6 + -1.6. Let u = -14.9 + q. Let w = -1 - -3. Which is the closest to u?  (a) -1\/4  (b) 0.1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.2?  (a) 0.4  (b) -6\/7  (c) 1723\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -52831*a**2*c**2 + 21*a**2*c + 629324*a*c + 2*c**2 + 1 wrt a.\nAnswer: -105662*c**2 + 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (7 + 320\/(-30)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 - 12. Which is the closest to y?  (a) 1\/6  (b) -0.4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 + 36. Let u(c) = -c**2 - 6*c - 1. Let o be u(-5). What is the units digit of y\/((8\/10)\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*t = -0*t - 10, -g - 3*t + 8 = 0. Let f be (-6)\/5*10\/(-4). Suppose 0 = 5*d - l - 15, d - 5*l = -f*l + 3. Solve -g*x = x - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -43*x. Let d(t) be the third derivative of t**5\/20 - 212*t**2. Calculate d(n(k)).\nAnswer: 5547*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 + 2*i - 1. Let q(z) = 0 + 0 + z**3 + 6 + 2 + 7*z + 7*z**2. Let w be q(-6). Suppose -3*t = -5*u + 6 + 8, 3*u - w*t - 9 = 0. Calculate m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -0.03, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-1))\/(-6)*(-50)\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(405) + 0)**2*-3.\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34 + -34.1. What is the closest to v in 0, 4, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rfu when three letters picked without replacement from uuurfufxfuffffufuf?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -677 (base 9) in base 2?\nAnswer: -1000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyxyxxy. Give prob of picking 2 y and 2 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 25, 12614, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -11*b**4\/12 + 21*b - 1. Let k(d) = 0*d - 3*d + 8 + d. Let j(g) = g - 3. Let x(p) = 8*j(p) + 3*k(p). Give x(s(h)).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -7*n + 15. Suppose 3*q + 4*w = -47 + 49, 5*q + 5*w + 5 = 0. Let s(i) = 2*i - 4. What is q*k(y) - 22*s(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/((63\/12)\/(-7)). Suppose a = -f + 5. Does 5 divide 12\/f*2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 221046 (base 7) to base 10.\nAnswer: 38793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401892?\nAnswer: 2, 3, 107, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -90 in -5, -21, -22\/9, -27, 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33896377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*-26*(-3)\/12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.15 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 - -10. Let v = a - -6. Let z = 25 - v. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from irzinli. What is prob of sequence zlz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*f**3 - 40*f**2 - 62*f + 40 = 0. Calculate f.\nAnswer: -1, 20\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 16 = -4*x, 4*x = 38*t - 35*t - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**3 + 6 - 1 + 0*j**2 - 2 - j**2 in the form c + t*j**2 + m*j**3 + b*j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56 (base 11) to base 16.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 6*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iddiiidiiiddii. What is prob of sequence ddd?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -b**5\/80 - b**4\/48 + b**3\/12 - b. What is g in v(g) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001112101012 (base 3) in base 16?\nAnswer: -891c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 - -373. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*x - 2 + 0*x + 8*x)*(-2 - 5 + 0 - 1) to l*x + o and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(69*i**4 + 43*i**4 + 87*i - 1 - 111*i**4).\nAnswer: -i**4 - 87*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 - 15. Suppose -61*v + 64*v - 13481760 = 0. Suppose 3*k - 7506080 - v = c. What is k rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 689 and 3133?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 12:11 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 104302 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*9\/(-120) - 21\/(-72).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 17 + -4 - (43 - 27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millisecond in nanoseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 12:46 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 14 + 10 - 249*l)*((3 + 4 - 6)*(-2 + 0 + 1) + (-3 - 1 + 3)*(-8 + 1 + 2) + 6 - 1 - 3).\nAnswer: -1494*l - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -135 (base 10) to base 8\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (-5 + 22 - 22)) + -9 + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31126.0000014119 - -31126. Round l to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - (-2 - -4)) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13\/2, 0.1, -0.1 in ascending order.\nAnswer: -0.1, 0.1, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, 16992149, -4 in ascending order.\nAnswer: -4, -0.01, 16992149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*b + 27*b + 2 + 10*b - 18*b + 0.\nAnswer: 42*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3384887)\/161 - (-1)\/7. Let w = x + 47929. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a**3 + a**3 - a**3)*(0 - 1 + 0) + (73 - 144 + 71 + 58*a**2)*(-2 + 0 + 0)*(-600*a - 783*a + 1541*a) as s*a + q*a**2 + x + l*a**3 and give l.\nAnswer: -18330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 108481 divided by 2?\nAnswer: 108481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4.4?  (a) -3\/2  (b) 2\/5  (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 14 - (0\/(-3) - -2). Let y be (4*147\/(-140) + -1)*-30. What is the highest common divisor of n and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2403 + 4929. 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 -34*v**2 - v - 21*v + 32*v.\nAnswer: -34*v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -14 + (50 - 20) + -3 + -13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (164 - 148) + -2 + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - p - 39 = 0. Let y = p + 52. Suppose 0 = -3*v + 5*u + 12 + y, -v + 25 = u. Calculate the smallest common multiple of 16 and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5588, 5599, 5616, 5639, 5668, 5703?\n\"Answer: 3*k**2 + 2*k + 5583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 5*u - 14 = -u, 4*v + u = -56. Let i be (-4)\/v - (-69)\/(-168). Which is the closest to -2?  (a) -1  (b) i  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*-2)\/(17\/(-34))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of 5*q**2 - 609. Let d(r) be the first derivative of 0*r - 8 + 0*r**2 + 2\/3*r**3. Determine d(l(v)).\nAnswer: 200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 98233582*f*l*t**3 - f*t**3 - 493*t**3 - 13955*t**2 wrt l.\nAnswer: 98233582*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112 + 100 = -12*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (600\/(-175))\/(10*11\/(-231)*1)?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**2 - 11 + 11 + (k - k + 2*k**2)*(-1 - 1 + 0) - 4*k**2 + 3*k**2 + 2*k**2 + (-5 + k + 5)*(-2*k - k + 5*k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 104 - 56. Let g = 48.4 - w. Which is bigger: 1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -32, -109, -186, -263, -340?\n\"Answer: -77*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1081 from -655.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1350 and 2387850.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 501233 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = -2*r + 123. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219*t**3 - 206*t**3 - 226*t**3 + 858*t**3 - 203*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 8*i - 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11141021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16070800919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 375000 is divided by 280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.66 - -0.26. What is the third smallest value in 0.1, -6, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 20 = 4*g - 6*x, -4*x + 15 = 3*g. Suppose -6*c + 9*c + o - 1482 = 0, -c - g*o + 508 = 0. Calculate the highest common factor of c and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35096231.\nAnswer: 35096231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 15 = -2*m - 2*m, 0 = r + m - 3. Let i(z) = 22*z - r*z - 15*z - 12*z. Let u(l) = -6*l. Determine i(u(o)).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.6 + 3.7. Let a = -0.06 - 0.24. Let c = 247 + -248. Put a, p, c in increasing order.\nAnswer: c, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 8*v**2 - 10*v + 13. Determine i(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3900.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2102101001 - -111000?\nAnswer: 2102212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5099450 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 145 + (3 - 3) + -2. Let n(q) = -5*q**3 + 33*q**2 + 14*q - 48. Let i be n(6). Which is greater: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 1. Let o be 53 + (w - (-6)\/3). Suppose -2*n = -4*i - o, 3*n = -0*n + 2*i + 65. Calculate the highest common divisor of n and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 + -18. Suppose 5*y = 2*q + 26 - p, -3*y - 3*q + 24 = 0. Suppose -16 = a + 5*i, -12 = -y*a - 3*i - 4. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 2) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-128226)\/(-15) + (-10)\/25. Suppose -3*z = 3*c - 8*z - 45, -c + 2*z + 16 = 0. Is 1\/5 + s\/c + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7655 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 444757342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-1))\/(((-828)\/(-1794))\/((-2)\/(-13))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 39675\/4 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 163318175623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100111011010101 (base 2) in base 7?\nAnswer: -310241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4319 and 1316678?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1210201 + -21100?\nAnswer: -2002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5452398 divided by -2289\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1222780 and 5590?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 425.055 * 0.06.\nAnswer: 25.5033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1089362806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-798 - 3151 + 278)*(2*f - 2*f + 2*f)*(-2 + 2 + 3).\nAnswer: -22026*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-3) - 65550\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.16188 micrograms in kilograms?\nAnswer: 0.00000003116188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 50341377019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 10033?\nAnswer: 10032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 1:13 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 15427416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*c - 2*c**2 + 9*c - 4*c - c**2.\nAnswer: -3*c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-14)\/2)\/((-4)\/(147 - 7))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 236\/16 + (-3)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3136 divide 38488127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -37 + 139. Let s be -1 - (3\/(-5) - j\/30). Suppose -d = 3*r - 51, -5*d + 0*d - s*r + 243 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23.598 - -23.3. Let b = 0.2741 + d. What is b rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-88)*(-2)\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 6*o**2 + 3*o - 7. Let j be m(-5). Factor 14*n**2 + 10*n - 18*n + 2*n**3 - 5*n**j.\nAnswer: -n*(n - 4)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.718 + 0.73362. Let m = z + -0.016. What is m rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a (base 11) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -5*r - 2. Determine q(-11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 PM and 1:46 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + f = -5*w + 2, -3*w = 0. Let p = 14 + -10. Which is the third smallest value?  (a) -3\/2  (b) f  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i - 3. What is a(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 302 is divided by 151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, x: 1}. Give prob of picking 1 x and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 27*q**2 - q. Let s(f) be the first derivative of 5*f**3\/6 + 183*f - 189. Let m(b) be the first derivative of s(b). What is m(u(r))?\nAnswer: 135*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5095?\nAnswer: 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 167478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6699 and -0.0523.\nAnswer: 350.3577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3480 = -375*p + 288*p + 522*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 4*x + 7, 3*f - 4*f = 5*x + 12. Suppose f = -8*q + 13. Solve -5*j - 4 - 11 = q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291196996?\nAnswer: 2, 7573, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 571.2937 millilitres in litres?\nAnswer: 0.5712937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 2368765714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 331871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t + 0*t - t)*(2 - 2 + t)*(-6 + 6 - 2*t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 10 + 32395*g + 4.\nAnswer: 32395*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 58 - 37*a + 86 - 39*a + 77*a in the form i*a + b and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 243*w - 52958. Determine c(211).\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 13*r**2 - 2*r - 6286. Let y(w) = 218*w**2 - 1. Give n(y(x)).\nAnswer: 617812*x**4 - 6104*x**2 - 6271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-19) - 4 - -4. Suppose b - t + 12 = 0, 4*t = b + 2*t + 15. Let u = b - -10. Are l and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*p + 114*p = -39060. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*g**4 - 673*g**3 + 1438*g**2 - 881*g + 110.\nAnswer: (g - 110)*(g - 1)**2*(6*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-20)\/4*(-12)\/(-2 + 5). Suppose -u*z + 9 = -11*z. Solve -5*p + 3*a = -5, -1 = -2*p - a + z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ncjcn. What is prob of picking 2 c and 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11370.\nAnswer: 2, 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10\/9?  (a) 2\/11  (b) 2\/95  (c) 0.2  (d) -0.618\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 763 - 761. Which is the closest to p?  (a) 2  (b) -2\/61  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21784, 43545, 65294, 87025, 108732, 130409?\n\"Answer: -v**3 + 21768*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, 9, 51, 131, 261, 453, 719?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -3*h - 10. Let r be w(-4). Is (33\/1)\/(r\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-50)\/(-4)*528\/55. Calculate the highest common divisor of 80 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 340 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 7*p**3 - 9*p**2 + 14*p + 48. Let s(z) = 3*z**3 + 2*z + 1. Let r(i) = -2*s(i) + w(i). Calculate r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 6*v**2 - 6*v - 4. Let p be s(-5). Sort p, -1, -2, 5 in decreasing order.\nAnswer: 5, p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/((d*d\/(d\/(d\/d**(-6))))\/d)*d*d**(-1)\/d)\/(d**(-8)\/(d**(-5)\/d)))**(14\/3) assuming d is positive.\nAnswer: d**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 2*b - 258. Let o be g(0). Let r be -2 + o\/(-69) - 2. Let j(v) = v**3 - 45*v**2 + 162*v + 82. Let y be j(41). Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y + 9. Let c = -4 + -11. What is the remainder when k(c) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -444*f - 2580. Does 6 divide s(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6267 is divided by 695?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 1 = -2*v, 1 = 3*z + 3*v - 2. Let d(r) = -r**2 - r - 1. Let f be d(z). Let g be 0 + -1*2*f. Solve g*l - 5 = 3*j, -2*l - 19 = 5*j - 0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)*4 - sqrt(11))**2 + (sqrt(11) + (sqrt(11) + sqrt(22)\/sqrt(2))*-5 + sqrt(11))**2 + -2 - (1 + sqrt(396) + 1 - -5*sqrt(396)*1)**2.\nAnswer: -13019 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22837603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 4\/9, 0.02, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 16 + 9)*(0*h + h - 3*h)*(3*h - 3*h - 2*h**2)*(12*h + 9*h - 17*h + 7).\nAnswer: 288*h**4 + 504*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -90.74 - -91. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 6 + 2. Let j be (r - 32*-315625) + 1. Round j to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - -28.34\nAnswer: 28.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 12*z**3 + 176*z**2 - z + 2 - 176*z**2. Is 3 a factor of t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)\/sqrt(2))**2 - sqrt(30)\/sqrt(24) - (-3 + 3 + -1 + sqrt(5)))*5.\nAnswer: -15*sqrt(5)\/2 + 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7586 or 7578?\nAnswer: 7586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 61*i**2 + 224\/11*i + 0 + 669\/11*i**3 + 221\/11*i**4 - 1\/11*i**5.\nAnswer: -i*(i - 224)*(i + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44703 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07635202 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1068850712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16.16 + -21.16. Suppose 2*d - d - 3*r + 5 = 0, 4 = -3*d - 2*r. Let i be d\/(11*(-1 - 0)). What is the closest to 0 in -1, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4070701.4 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 620.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -q - 0. Let s(y) = -2*y - 2 + 3*y**3 + 9*y**3 - 5*y**3 - 5*y**3 + y**2. Let r(x) = 2*x**3 + x**2 - 3*x - 3. What is q*s(m) + 2*r(m)?\nAnswer: -2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -582.\nAnswer: -1\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 2*v + v - 48, -422244*u - v - 2 = -422247*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 10*x. Let w(s) = 5*s**2. Give t(w(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 2:52 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29893*o**3 + 6505*o**3 + 10422*o**3.\nAnswer: 46820*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4900 and 525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -718651\/585 + 6143\/5. Let h = 14\/39 - o. Which is the nearest to 2?  (a) h  (b) -5  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 4340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5*t**2 - 1. Let u(y) = 4*y**2. Determine -6*u(b) + 5*x(b).\nAnswer: b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -255 - -234. Let g = -15 - d. Solve 4*a = -5*y - 7, -g*y - 1 = a - 5*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0478 less than -6124.899?\nAnswer: -6124.9468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3*t**2. Let m(o) be the first derivative of 9\/2*o**2 - 3 + 0*o. What is m(x(l))?\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + b - 1. Let g(p) = p - 1. Let v(a) = a**2 - 2*a - 7. Let r be 4 + (-5)\/((-20)\/8). Let u be v(r). Let q = u + -16. Give q*g(c) - w(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21763.01 - 21763. Sort 2\/7, 2\/9, -1, -21, o in descending order.\nAnswer: 2\/7, 2\/9, o, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 0*s - 875. Suppose -j + 5*j - s = -3*c, 5*c - 5*j = 350. Suppose -c = 4*g - 9*g. Solve -5*r + 25 = -5*z, 5*z + g = -12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/11 at most 16640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - 18. Suppose 0*p + 6 = 2*p. Let q = p + -1. Solve q*o = -0*o - u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 276202 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 7*q = 60. Let j(s) = 7*s**2 - 6*s - 6. Let t(r) = 8*r**2 - 7*r - 7. Let l(x) = q*t(x) - 7*j(x). Let h(c) = c**2 - 31*c. Calculate l(h(n)).\nAnswer: -n**4 + 62*n**3 - 961*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/279200 and 169\/335040.\nAnswer: 1675200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5048 + 2200 = -453*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + -c?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*n + 12384 = n + 43*n. What is the least common multiple of n and 416?\nAnswer: 17888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of x**4\/6 - 4*x**3 + 15*x**2\/2 + 2*x. What is the units digit of z(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17604\/5 + 15192332\/4315. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 406 divide 20824146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.16722km to nanometers.\nAnswer: 17167220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*t - 97*t + 1200. What is the lowest common multiple of 126 and t?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*l - 12 + 7*l + 12*l.\nAnswer: -2*l - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 15, -8, -4, 2 in descending order.\nAnswer: 15, 14, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/(-12))\/(3\/9). Let m be v*((-10)\/(-3) - 3). Put m, 1\/4, 3 in descending order.\nAnswer: 3, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -46 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*f - 377*f + 3*f - 123*f.\nAnswer: -460*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**3 - 5 + d**3 - 3*d**3 + 1 + d**2 to the form n*d**2 + f*d + y + i*d**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/(-12))\/((-175)\/210). Let w be 2\/5*(-5)\/9. What is the closest to 1\/2 in w, m, -39?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, -28, -5, 3, -6.673?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -626090, -626096, -626102, -626108, -626114, -626120?\n\"Answer: -6*u - 626084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 425 and 3389545.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a*a**10*(a\/(a*a**(-11)*a))\/a*((((a*a**(2\/7))\/a*a)\/a)\/a)**(3\/25) assuming a is positive.\nAnswer: a**(732\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -74\/2545635 and 13\/16292064.\nAnswer: 81460320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-182)\/(-26)*58\/(-203).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53705269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 45 - 703c?\nAnswer: -6ff7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 2*p - 20, 5*p - 608 = -3*g. Let d = -13 + g. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 - 6*s**2 - 3*s + 2. Suppose -18*c + 42 = -11*c. Determine d(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -5*b**3 - 9*b**2 - b - 9. Suppose 6*n - 2*l - 4 = n, 3*n + 2*l - 12 = 0. Let p(x) = x**3 + 2*x**2 + 2. Calculate n*d(v) + 9*p(v).\nAnswer: -v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 927476 divided by -35.\nAnswer: -927476\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 15 and -391.\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 981900 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 273*k - 306*k = -264. What is the closest to 0 in -0.44, k, 5?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*l = -41*l - 9, 2*y + 2*l = 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 1 + -3 + (-9 - -7) - (-24 + 18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -1\/3, 0.09, 0, 3.4, 0.5, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9861 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 268674 - 0.24139.\nAnswer: 268673.75861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 99\/2 and -11 + 4425\/522 + 3.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -3*t + 11, 4*h - 2 = -5*t + 5. Let j be 84\/44 + (1 - t). Let k(g) = g**2 + 6*g. Let z be k(-6). Which is bigger: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 12:11 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -4 + (-4 - 0) - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268728 is divided by 89574.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5812481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15\/227 - -137\/1362. Which is the second biggest value?  (a) -1\/5  (b) 0  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 49*a + 148. What is f(-4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jpj. What is prob of picking 1 j and 1 p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 68 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1539 + 2462. Let b = n + -429. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaagagaag. What is prob of sequence agg?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -18, -21, -40, -81, -150, -253?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 at least -16\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-21))\/(8\/56).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 177\/(-2)*3\/27. Let q = 29\/3 + m. Let r = 2\/2665 - -408\/2665. Which is the biggest value?  (a) r  (b) -4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 4*l - 70 = 0, 2*l - 24 = 5*w + 183. Is -43 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 2*h - 60 = h, 3*h = 4*n - 60. Suppose s - 4*s - n = 0. What is the nearest to 2 in 2\/5, -4\/5, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 630024\/(-40) + 6\/10. What is x rounded to the nearest 100?\nAnswer: -15800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 3*w - 195. Suppose 172 = 4*r - w. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 11. Suppose -2*n + 18 = -5*n. Let g be j(n). Let k(t) = t + 6. Let x be k(g). Solve -x = -2*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f. Let n(s) = 6*s. Let a be (4\/(-4))\/((-3)\/(-21)). Let j(p) = -11*p. Let r(q) = a*n(q) - 4*j(q). Calculate u(r(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, z: 15}. Give prob of picking 1 f and 1 z.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -3*s**4 - 8535*s**3 + 1813074*s**2 - 101517696*s + 842434560 = 0.\nAnswer: -3047, 10, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2655*w**2 + w - 1. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 - 14*c + 50. Suppose -192*z + 130 = 211*z - 390*z. Determine y(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {u: 2, n: 6, c: 8, p: 3}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 x when four letters picked without replacement from {x: 4, d: 6, p: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 1:20 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of -25*b**4\/24 - 10*b**3\/3 + 43*b**2\/12 - b + 47. Factor p(y).\nAnswer: -(y + 3)*(5*y - 2)*(5*y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95191\/19 + -5008. What is the common denominator of (-172)\/40 + (369\/(-45) - -4) + 4 and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176622770 to the power of 1\/2, to the nearest integer?\nAnswer: 13290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25.2 - 306.2. Let k = i - -280.9999965. What is k rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of d**3 + 185*d**2 - 1265*d - 3844. Differentiate l(p) wrt p.\nAnswer: 6*p + 370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 11:25 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -25336965 or -25336974?\nAnswer: -25336965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 11:19 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - v**2 - v + 9. Let m be h(0). Let d(s) be the first derivative of 1\/3*s**2 - m + 0*s + 4\/27*s**3. Factor d(k).\nAnswer: 2*k*(2*k + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52766*x**3 + 52768*x**3 - 158772*x**3 + 53226*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -2341.5, 24\/5.\nAnswer: -2341.5, -0.4, 24\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*t + 72 = -142*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 105571 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -5 - -2 - 8*-1. Suppose -2*v = 2*g - 452 + 152, x*v + g = 758. Does 38 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 1 + 0 + (5 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 3\/55808 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-3)\/l)\/l**(2\/9)*l**(-4\/9)*l*l**(-6)*l)**(-43) assuming l is positive.\nAnswer: l**(1118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/(-4) + 0 + 1. Suppose -2640 + 2622 = -18*m. Put g, -15, m in decreasing order.\nAnswer: m, g, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -878278, -878276, -878272, -878266, -878258, -878248?\nAnswer: -878236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/11))**35\/((t\/t**(4\/5))\/t*t*t**(-1)*t))**(-5) assuming t is positive.\nAnswer: t**(361\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23607?\nAnswer: 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*v - 17*v = 45. Suppose 0 = -3*t + v*t - 18. Suppose -t*c = -c - 86. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1471994107?\nAnswer: 809, 1819523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8413028 divided by -403.\nAnswer: 20876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 23263.49 days in nanoseconds?\nAnswer: 2009965536000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**2. Let t(s) = s + 7. Let o be t(-5). Let i(u) be the first derivative of -1 + 0*u + 1\/2*u**o. What is i(r(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {o: 8, p: 7, v: 5}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*130\/(-50) + (-6)\/(-15). Let k(a) = -a**2 + 154 - q*a - a - 137. Determine k(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 7*v = -8. Suppose q + 5*t = 15, 326 - 106 = 5*q - v*t. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0\/(-1))\/(3 - 6). Suppose t = 2*w - w - 5*a, 0 = -w + 3*a + 2. Suppose -36*y + 87 + 165 = 0. Sort -3, y, w, -2 in descending order.\nAnswer: y, w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of -127*h**4\/8 - 353*h**3\/6 - 86*h**2. What is the derivative of i(v) wrt v?\nAnswer: -381","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 146 times -6\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -102.2 and -8415.\nAnswer: 860013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -25 - (27 + 4 + -39)) + 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -13305 (base 6) in base 14?\nAnswer: -a6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 73 - 72.7. What is the third smallest value in 0.2, 5, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24410721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -37232.97 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4.19 * -1439\nAnswer: -6029.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 12) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 89012.8l?\nAnswer: 89012800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1f62 + -4?\nAnswer: -1f66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 13730.1 millimeters?\nAnswer: 13730100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r. Let p(v) = -9254*v**2 + 9904*v**2 - 5 + 3. What is p(u(d))?\nAnswer: 650*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 + 8*y - 9. Let l be o(6). Factor 3*t**3 + 2*t**3 - t - 4*t**l.\nAnswer: t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -3*h + 2*i, 0 = -3*h - 3*i - 13 - 11. Let q(w) = -2*w + 2. Let r be q(h). Suppose -5*b + 26 = y, -4*y - b = -r - 116. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -361 + 360 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of -m**4\/8 - 5*m**3\/6 + 140*m**2 - 1. Give t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115*r - 1166 = 114*r. Suppose -r = -8*j - 1086. Calculate the smallest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -9123, -9198, -9279, -9366?\n\"Answer: -3*k**2 - 66*k - 9054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8 and -19401.\nAnswer: -155208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 290147783+4756063\nAnswer: 294903846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -34340106.6 and -3?\nAnswer: 34340103.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 3482079422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 8*g - 79 = -3*g, -2*g + 287 = 5*o. Suppose -136 = 26*r - 760. What is the remainder when o is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/16 of a week in minutes?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, g: 3}. Give prob of picking 2 g and 1 f.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -701276040*h**4 + h**2 + 5517*h - 12764 wrt h.\nAnswer: -16830624960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7.21 in -1\/4, -0.2, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -5\/3*u**3 - 1\/24*u**4 + 0*u + 1\/360*u**6 + 4 + 0*u**5 + 0*u**2. Let b(z) be the third derivative of k(z). Factor b(t).\nAnswer: (t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nsd when three letters picked without replacement from mdnas.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8, 3, 2822?\nAnswer: 2822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 7*p**2 + 4*p + 1. Suppose s - 3*l + 7 - 20 = 0, 0 = 5*s + 4*l - 46. Suppose r = 3*r + s. What is the tens digit of j(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.3 - 0.3. Let v = 59.3 - 59. Let x(c) = -c**2 - 7*c - 7. Let u be x(-5). What is the closest to 2\/7 in n, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4884, -4883, -4894, -4923, -4976, -5059?\n\"Answer: -d**3 + 8*d - 4891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.018331974 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.457 and 17.093?\nAnswer: 7.811501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003289 rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 971.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 317, -282, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from huuhhhuhhhuhuh. What is prob of picking 3 h?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 + 7\/(-3))*18. Calculate the greatest common divisor of u and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109591*r - 54775*r - 54809*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of 2*o**6\/75 + 6*o**5\/25 + 4*o**4\/15 - 4*o**3\/5 - 2*o**2 + 92*o - 55. Let x(s) be the first derivative of y(s). Factor x(n).\nAnswer: 4*(n - 1)*(n + 1)**2*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5684\/245)\/((-4)\/70). Is i smaller than -406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(-r + 6*r - 3*r) - r + 8*r - r - 3*r + 2*r - r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 11\/((-165)\/15) + 12\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(960) - sqrt(960)*1)\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2370, 2374, 2378, 2382, 2386?\n\"Answer: 4*i + 2366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/5)\/p)**(2\/119)\/(p**1*p)**(-49))**(32\/5) assuming p is positive.\nAnswer: p**(266496\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 8 = 3*b. Let h be (b - -33) + 0\/2. What is the first derivative of -3 + 5 + h*k - 1 + 2 wrt k?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, v: 4, g: 2, x: 2, q: 1}. Give prob of sequence tv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 8, v: 3}. Give prob of sequence vv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 1 + (155 - 155)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*y - 17*y - y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 3*sqrt(704)*2 + -3)**2 + 4 + 1 + -1*(-1*sqrt(704))**2.\nAnswer: 24645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 4*y = 60, 8340*f - 8339*f + 2*y - 34 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4253603 grams to micrograms.\nAnswer: 425360.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2*k + 4*v - 12, 6 = -5*k + 2*v. Let o(u) = u**2 + u + 4. Let h be o(k). Factor -r**2 + 1\/2*r**h - r**3 + 1\/2 + 1\/2*r + 1\/2*r**5.\nAnswer: (r - 1)**2*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of -2*n**3 - 1\/2*n**2 + 0*n + 0*n**5 + 125 - 2*n**6 + 0*n**4 + 4\/7*n**7. What is the third derivative of i(w) wrt w?\nAnswer: 480*w**3 - 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 655*-199\nAnswer: -130345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2*(-26)\/(-8))\/((-1)\/(-16)). Suppose -6*a = 7*a - g. What is the remainder when 37 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 3:23 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 3. Let b = d - 4.2. Sort b, 2\/3, 3 in increasing order.\nAnswer: b, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158773619.\nAnswer: 4951, 32069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 107400 divided by 2204\nAnswer: 26850\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of -k**6\/50 - 9*k**5\/50 + 6*k**4\/5 - 13*k**3\/5 + 27*k**2\/10 - 357*k. Suppose r(s) = 0. What is s?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -331*w + 49*w - 7 - 741*w - 57*w. Is v(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 9:19 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (40\/(-36))\/((-2)\/9). Let x(d) be the first derivative of -d**4\/4 + 4*d**3\/3 + 3*d**2 - 5*d + 3. Determine x(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -60bd - 1?\nAnswer: -60c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32.18959 millimeters to centimeters.\nAnswer: 3.218959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5400 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 8:30 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 8*u**2 + 8. Let v be r(-8). Suppose -4*h = -b - 13, 3*h = -4*b + 4*h + v. Solve -6 = 3*o - b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2131 = -154*a + 3259 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 211, -5, 1338 in decreasing order.\nAnswer: 1338, 211, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(6\/13)*k*k*k**(8\/7)*k)**(1\/44))**33 assuming k is positive.\nAnswer: k**(1257\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 11*x - 20. Let v(r) = -2*r**2 + 5. Let q be v(-3). Let u be w(q). Let k(n) = -2*n. Calculate k(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 3*j + 64 = 0, 4*f + 139*j = 140*j + 128. Let h = 52 + -23. Suppose 5*v + 2 = c - h, 4*c + 3*v = f. Is 10 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*t**3 + 1 + 5*t**3 - 2*t + 6*t**3 as k*t + n + j*t**2 + u*t**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1608259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 575 - 55. List the prime factors of l.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 97 - 55. Suppose -2*m + 3*j = 27, -4*m - i = -j - 3. What is the nearest to m in 4, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1767.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92*z = 3157655 + 850969. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 4*j = -2*b + 1, -2*b + 4 = 2*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3839 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23681 = 322*d - 1879*d + 164*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 8*l + 66. Let m be t(-8). Find k, given that -9\/2 + 3\/2*k**m + 3*k = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -73\/818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -422796 - -368678181\/872. What is the common denominator of g and -13\/16?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/5)\/(-2 - 3107\/(-1555)). Which is smaller: 309 or z?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250 at most 4562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24038.00001353 + 24038. Round t to 7 dps.\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w**2 + 6*w**2 - 4*w**2)*(2*w + 0*w + w) + 29*w**3 + 10*w**3 - 41*w**3 + 116*w + 2*w**2 in the form u*w**3 + h*w**2 + b*w + f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3736*l - 85906. Determine r(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 65*w - 51*w - 112. Calculate the remainder when 138 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-104)\/(((-63)\/(-378))\/(1\/(-6))). Calculate the highest common factor of w and 4290.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-m + 4 - 4)*(-5 + 9 + 0) - 4*m - 2*m + 4*m + (1 - 2 + 2)*(1 - 1 - m) + 4 - 3*m - 5*m + 6*m)*(-m**2 + 6*m**2 - 3*m**2).\nAnswer: -18*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w + 636 - 641 + 20*w**2 + 0*w + 4*w. Suppose 6 = 3*q - 0. List the prime factors of n(q).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5435?\nAnswer: 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {l: 1, m: 2, n: 1, v: 13}?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -67, 2, -3, -7 in descending order.\nAnswer: 2, -2, -3, -7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 20. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -45 - -47. Sort -37, 4, o in descending order.\nAnswer: 4, o, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -365*-0.5.\nAnswer: 182.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -8  (b) -0.4  (c) 3  (d) 0.10382\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7, z: 1}. What is prob of sequence ww?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 792 and 435248?\nAnswer: 3917232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-156)*2520\/(-560)*-24?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3818592\/37 or 103205?\nAnswer: 3818592\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 2 s when four letters picked without replacement from {m: 3, s: 2, f: 2, x: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 10*q - 3 - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6*4\/6)\/(6\/(-9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1\/254 + 9155\/2794. What is the nearest to 1\/4 in 0.2, 4, -0.1, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -68*f + 6933. Give m(102).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -644 (base 14) to base 9\nAnswer: -1623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -469 + 685. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -4*t - 9 - 4, t + 2*s = -12. Let v(y) = 3*y + 17. Let o(j) = -1. Let x(c) = -18*o(c) - 2*v(c). Let b(m) = m + 3. Determine t*x(k) - 11*b(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30.96 + 35. Let y = -4 + i. Let f = 331.8 + -332. What is the biggest value in 0, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/l**(5\/9)*(l**(-13)*l)\/l assuming l is positive.\nAnswer: l**(-113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(208) + -5 + (-3*sqrt(208))**2*5.\nAnswer: 4*sqrt(13) + 9357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 + 214*o**2 + 1787*o - 2432. Determine t(222).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 + -0.2. Let f = 21 - 21.3. What is the closest to -0.1 in d, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -4528?\nAnswer: -13584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -18*j - 16. Let y(x) = -8*x - 7. Let t(l) = -2*w(l) + 5*y(l). Let d(z) = -3*z - 2. Let v(o) = 3*d(o) - 2*t(o). Let s(i) = 2*i - 1. Give v(s(p)).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 699*r - 9805. What is f(14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1804 and -301585.\nAnswer: -299781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 933545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 + 125 - 288 = 20*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 338966501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 - 18 = -18*o - 396 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12065 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4\/233 + -542\/4427. Let j = -7.5 + 11.5. Which is the smallest value?  (a) -2  (b) v  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -486108 - 486113 + 972219. Let y(c) = c - 1. Let f(b) = -b**3 - 15*b**2 + 16*b + 6. Let z be f(-16). What is z*o(r) - 12*y(r)?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 8983.132nm?\nAnswer: 0.0008983132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 0.09  (b) 12  (c) 2.15  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 311.2762 kilometers?\nAnswer: 31127620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/3*(-45)\/(-150).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2504 + 2997. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 4 = -40. Suppose -5*g = 4*y - 9, -4*y + 3 = -g - 0. Let n = h - g. Sort -2\/13, -2\/5, n in ascending order.\nAnswer: -2\/5, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/308 and -87\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 2 = -2*t, 3*t + 9 = g. Let k be (6 - 3) + 0 - g. What is the highest common divisor of k and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + 9*z**2 + 8*z + 2. Let u be w(-8). Suppose 2*b - 2 = u. Find the third derivative of -g + 3*g**3 - 2*g - 2*g**b + 3*g wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1737 divided by -579.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 + -395302.\nAnswer: -395338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 391 and 731.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50163331?\nAnswer: 1427, 35153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 274528675 to the power of 1\/2, to the nearest integer?\nAnswer: 16569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40936498?\nAnswer: 2, 229, 89381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q + 2. Let l be v(-3). What is the units digit of l*3\/2*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1323 is divided by 125?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6715 + -6702. Let p(q) = -q**3 + 8*q**2 - 5*q. Let y be p(7). Suppose 1 = z - y. Is u > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - (sqrt(156) + (-5*-5*sqrt(156) - sqrt(156)))) - (sqrt(156) + 5*sqrt(156))*6)\/(-5*-5*-5*sqrt(300)).\nAnswer: 59*sqrt(13)\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*a = -65 - 29 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 AM and 11:31 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (9 + 22)) + 3 + 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*s - 16*s = 4*i - 18, 20 = 5*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 826371 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3392277419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + o - o)*(350 + 421*o - 350) + 5*o**2 + 3*o**2 + 2*o**2.\nAnswer: -832*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -54508*w**2 - 26*w - 81. Let o(g) = 3*g**2 + g - 3. Let f(d) = -c(d) - 5*o(d). Let a be f(-4). What is a rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-96))\/((-1)\/6*(-90)\/12).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.31855 and -3.66?\nAnswer: 1.165893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*a**2 + 466*a - 504.\nAnswer: -2*(a - 28)*(8*a - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r**4 + r**4 + 0*r + 2*r**3 + 2*r + 4 in the form x*r + a*r**4 + l*r**2 + v + m*r**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*r + 754 = -33*r + 2252 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-15)\/12)\/(-2*(-3)\/(-24)). Find the common denominator of 23\/67 and t - 1\/((-50)\/255).\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ydjjjyyyjjyyyyjyy. Give prob of sequence yyyy.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1154\/11 - -105. Let o be 35\/(-15) - (-4)\/(-8) - -3. Which is the fourth biggest value?  (a) -2\/5  (b) -1\/7  (c) o  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 + 228 = 26*m + 53. Solve 1 + 23 = m*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3*h**3 - 4*h**2 + 4*h - 3. Let x be i(2). Suppose 151 = 4*r + 5*t, -2*r + x = 3*t - 60. What is the lowest common multiple of r and 2 + -3*(-6)\/2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**4\/5 - 243*k**3 + 5976*k**2\/5 + 9636*k\/5 - 2880 = 0. Calculate k.\nAnswer: -2, 1, 6, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.5, 10, 2\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142354264.\nAnswer: 2, 13, 1368791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -166\/5 - -1192\/35. Let u = 64 + -32. Let k = u + -31.6. What is the nearest to 0 in b, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00875 plus -45.6?\nAnswer: -45.59125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -9\/11, 0, -2, 75 in descending order.\nAnswer: 75, 0, -9\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*(x*(x**9*x)\/x)\/x)\/x)\/x**(2\/5))**(5\/13)\/(x\/(x\/(x\/x**(-2\/15))*x)*x**(5\/6)*x*x**1*x*x\/x**(-1\/13)*x) assuming x is positive.\nAnswer: x**(-1067\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/5710 and 39\/25?\nAnswer: 28550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 9. Let w be (6\/(-12))\/(b\/(-8)). Suppose 3*g - w*g + 4 = 0. Solve 3*i - p + 12 = 4*p, g*i + 16 = 2*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-33)\/2*14\/(-21). Suppose 0 = 4*c - 3*y + 44, -2*c + 3 - v = 2*y. Let b = 37 + c. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4, -10, -44.8, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 + -15. Suppose 4*n - 4 = j*n. Put 5, n, -1 in descending order.\nAnswer: 5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(297) - (-2*sqrt(297) + sqrt(297))*3)\/sqrt(9)*6)\/(-5*sqrt(300)*2*4).\nAnswer: -3*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26056729 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*q + 75*q - 51*q + 92*q**3.\nAnswer: 92*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**3 - 39*i**3 - 2*i**3.\nAnswer: -38*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 7 = 5*d - 23, -2*d = 3*b - 13. Suppose 1 = -b*w - 17. Let f(q) = q**3 + 7*q**2 + 6*q - 4. Determine f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19373197 = -15*h - 116*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (42\/(-28))\/(6*-1)*6480\/675?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 859*n**2 - 2*n - 219. Determine a(0).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -326*w**2 - 6*w - 5. Give i(-1).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of -m**9\/423360 + m**5\/15 + 5*m**2. Let g(d) be the third derivative of x(d). Factor g(a).\nAnswer: -a**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000004186 rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.3, -0.4, -2\/9, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -120*w**3 - 1803*w**2 - 6765*w - 168.\nAnswer: -3*(w + 7)*(w + 8)*(40*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*3*(-2)\/36. Does v = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 - 9*x - 21. Give r(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -25025 - -12040?\nAnswer: -12545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, -5, 0, 5, 2, 3, -49 in descending order.\nAnswer: 15, 5, 3, 2, 0, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4329 - 7*u - 28*u + 4302 + 4333 - 13051 to z + f*u and give z.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*w**3 + 2*w**2 - 4*w**2 + 3*w**3 + (0 + 0 + 2*w**2)*(-4*w + 0*w - 2*w).\nAnswer: -15*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -26*f**3 + 5*f**2 - 5. Let a(o) be the first derivative of o**4\/4 + o**3\/3 - o + 100. Give -5*a(q) + z(q).\nAnswer: -31*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + -3. Let t = 2\/261 - -41845\/261. Let f = t - 162. What is the second smallest value in z, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 395698 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -3*t**2 - 5*t + 3. What is m(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -192\/5 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(13)*-2*1.\nAnswer: -2*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2488643 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 1:14 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2013 - 256 = 5*n, -3725 = 5*h - 3*n. Let w be 7 + -2 - (-4)\/(-2). Let u be h - 0 - (w + -1). What is u rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5*j**2 + 7*j - 7. Let q be b(-4). Let w(l) = 151*l + 8. Let x be w(-6). What is the units digit of x\/(-10) + 9\/q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -574 = -5*g - 169. Calculate the remainder when g is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-6\/19)*j*j*j**(-14)*j*j**5*j**17 assuming j is positive.\nAnswer: j**(203\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4*-0.002\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from urvrq. Give prob of sequence qr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, t: 1, n: 2, r: 1}. What is prob of sequence rn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -249 - 106 + 174 - 2*s - 5*s**2 + 181 + 10*s**2.\nAnswer: 5*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -12, -81, 2, -4, 1\/4 in decreasing order.\nAnswer: 5, 2, 1\/4, -4, -12, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of u**6\/120 + 11*u**5\/60 + u**4\/24 + 13*u**3\/6 + 8*u**2. Let o be f(-11). Solve 3*y - 2*c + 3 - 4 = 0, -y - 1 = -o*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.9 - 1.5. Let t = 7.4 - u. Let f = 7.7 - t. Put -1, f, -0.2 in descending order.\nAnswer: -0.2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 0 - (-4 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 + c + 15. Let p be r(-5). Is (-3351)\/p - (-10)\/(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + 0)\/((-336)\/30 - -11). What is the greatest common factor of j and 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 + 5*y**2 - 8*y - 2. What is the remainder when 47 is divided by c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2 - 40764352*l + 103858274623744.\nAnswer: 4*(l - 5095544)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9\/4, 39, -0.2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 500*(-1 - 235\/(-30))*-270. What is j rounded to the nearest ten thousand?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 16 = 0, 2*b = -a - 2*a - 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6318 and 11809746.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 - 6939\/15 - 3\/(-5). Let w = v - -868. What are the prime factors of w?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54.5 + 55. What is the nearest to 0 in -3, q, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (23 - 5 + 4 - 7 + 19)*(94 + 29*u**2 - 94) to w + g*u + n*u**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.671207 millilitres to litres.\nAnswer: 0.004671207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2681 - -5448. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**5 + r**5 + 0*r**5)*(2 - 7 - 2 - 1 + 3 - 4 + (-2 + 2 + 2)*(5 - 2 - 4) + 2 + 1 - 6).\nAnswer: 28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2835140 and 73640.\nAnswer: 5670280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 9*f + 4 = -5*f, -f + 1 = 0. Find t, given that -1\/2*t**2 + 9\/2 + y*t = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 17 + 22 + -21.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j**6 - 6*j**5 + 5*j**4 + 3*j**2 + 353.\nAnswer: 240*j**3 - 360*j**2 + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 30.05847nm?\nAnswer: 0.000003005847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*m + 3*m - 2*m)*(-140*m + 26*m - 95*m)*(3*m - 4*m - m) to the form n*m**3 + o + t*m**2 + b*m and give n.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -0.3, 0, 10.7, -2\/11?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37*r**4 + 5*r**3 + 4*r**2 + 70227*r wrt r?\nAnswer: 444*r**2 + 30*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tsqt when four letters picked without replacement from {q: 3, t: 3, z: 2, s: 10}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -501794*f**3*s**3 - f**3*s**2 + 114*f**3*s + 2*f*s**2 - 34*f*s - 1 wrt s.\nAnswer: -3010764*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 + 2 - 1)*(-f + 2 - 2) - 13 - 8*f + 13)*(2 - 1 - 6) as x + j*f and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1107 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 divided by 10?\nAnswer: 249\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*z + 5*s = 111, -4*z + 186*s - 351 + 337 = 192*s for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -124*q + 62. Let c(j) = -j - 2. Calculate 93*c(p) + 3*g(p).\nAnswer: -465*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-304)\/(-114)*2*2\/112.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -d?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (119\/(-255)*15)\/(1\/1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 88482, 0 in descending order.\nAnswer: 88482, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -323d (base 14) to base 3\nAnswer: -102220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**4 - 10171438*d**3 + 3806*d**2 + 835 wrt d?\nAnswer: -24*d - 61028628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 58*t - 85. Is 27 a factor of p(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, a: 3, l: 4}. What is prob of picking 3 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 307070189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 100043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*j + 0*j + 10*j**2 - 5*j**2 wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -7*q**3 + 2*q**2 - 1. Let l(j) = j**2 + j - 7. Let c be l(-3). Determine m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*f + 0*f**2 + 5*f**2 - 4*f**2 - 3*f**2 as q*f + z + v*f**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 206174827.\nAnswer: 17, 1399, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122*p - 93*p = 261. Solve -2*m = 2*o + 13 + 5, 0 = -4*o + 5*m + p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183299 is divided by 921.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 35647\/4 + -8912. Which is the nearest to -1\/3?  (a) 1  (b) m  (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n. Let x(k) = -677*k. What is w(x(y))?\nAnswer: 677*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**2 - 53880*k + 161604.\nAnswer: 4*(k - 13467)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-420)\/(-350) + (-18)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o - 1. Let m(u) be the third derivative of 5*u**4\/4 - 6*u**3 + 3*u**2 + 49*u - 2. What is -36*d(x) + m(x)?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/30*5)\/((-1)\/(-15)). Let p(r) = r**2 - 4*r + 5. Calculate p(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.34 + -0.84. Which is the nearest to -1?  (a) u  (b) -1\/3  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 + -1)*1\/3. Let m = 0.32 + 0.08. Let q = 0 + -0.2. Which is the third smallest value?  (a) x  (b) m  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*y + 0 - 100\/3*y**2 - 16*y**3 + 1\/3*y**4 = 0. What is y?\nAnswer: -2, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0856 * 0.166.\nAnswer: -0.0142096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -100916 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of 13*u**7\/42 + 13*u**4\/6 - 39*u. Find the third derivative of w(r) wrt r.\nAnswer: 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 169*k. Let q(j) = 2*j. Give p(q(t)).\nAnswer: 338*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, c: 9}. Give prob of sequence mc.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14143464 is divided by 12331?\nAnswer: 12138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44956 is divided by 44594.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -602 + 5*u + 202 + 199 + 201.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, -17, -2, 2 in decreasing order.\nAnswer: 5, 2, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 58142 = 2*d - 13*m, 3*m + 29072 = d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11011 and 43674631?\nAnswer: 480420941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35224?\nAnswer: 2, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17483*f**2 - 318*f + 209 wrt f?\nAnswer: -34966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d. Let c(f) be the first derivative of -f**5\/24 - f**3\/3 + 2. Let t(z) be the third derivative of c(z). What is q(t(a))?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 552 and 26427.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.02 + 0.06. Let g = 0.41 - f. Let r = -0.07 + g. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 - h. Let c(l) = -17*l**2 - 3*l. Suppose -12*w - 138 = -35*w. Give w*b(d) - c(d).\nAnswer: 11*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (21 + -27 - (-1 + -2)) + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1003163 is divided by 2573.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -56+-0.345\nAnswer: -56.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(-2 + -2) + 4. Put 4, -4, -5, r in descending order.\nAnswer: 4, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 503727.\nAnswer: 3, 7, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -1129*f + 8024. What is m(7)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5580485 is divided by 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*k**4 + 3*k**3*s - 3*k*s + 703*s - 2 wrt k?\nAnswer: 8*k**3 + 9*k**2*s - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13026 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: Let n = 256 + -251. Let o(j) = 2*j**2 + 3*j + 2. Let z be o(-2). Put -1, z, n in descending order.\nAnswer: n, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.32 - 1.31. Put 3, -4, q in descending order.\nAnswer: 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**4\/5 + 628806*q**3\/5 - 628808*q**2\/5.\nAnswer: 2*q**2*(q - 1)*(q + 314404)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 11*v - 720. Calculate the common denominator of (6\/(-15))\/(v\/(-1825)) and -79\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 6985*u - 38. Is r(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/((-11)\/(-12) + -1). Let g be (4\/(-10))\/(k\/20). Which is smaller: g or 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 4*k**3 - 64*k**2 - 11*k + 44. Is d(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 15. Which is bigger: d or -1\/14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*d - 5*y + 1, 3*d + y - 25 = 0. What is the smallest common multiple of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2205, -4155, -6047, -7851, -9537?\n\"Answer: 5*q**3 - q**2 - 1982*q - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (((-120)\/(-35))\/(-4))\/(47 + 3). Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 519 + -514. Let w(p) = p**2 - p - 10. Determine w(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 9 - 11 = -3*r, 0 = 2*h - 2*r + 4. Suppose h*u = -3*o + 75, -2*u + o + 118 = u. What is the remainder when u is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20829 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24287 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3337197923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-1\/7))\/(d**4\/d)*d**4\/(d*d**(-4\/3)*d))\/((d*(d\/d**(2\/3))\/d*d*d*d)\/d*d*d**(-2\/17)*d**(-4\/5)\/d*d*d\/((d*d\/d**0)\/d)) assuming d is positive.\nAnswer: d**(-729\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -69 - -73. Solve 2*q + u = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 20, 33, 46?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2, -64, -160, -298, -490, -748?\n\"Answer: -2*j**3 - 3*j**2 - 43*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 199312 and 21575524?\nAnswer: 86302096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -307*f**3 - 668 + 3*f**2 + 1341 - 673 + 5*f to the form p*f + z*f**2 + k*f**3 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 352*k**3 + k**2 - 2. What is the units digit of h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of x**5\/120 - x**4\/6 - 11*x**3\/3 + 14. Let g(l) be the third derivative of f(l). Calculate g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -48326 at most as big as -48321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27410637 by -3.\nAnswer: -9136879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*(c**(-2\/17)*c)\/c)\/c)**(-36))**(-2\/27) assuming c is positive.\nAnswer: c**(-16\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1007 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - m + 75 = -m + 12*m + m, 47 = -5*s + 2*m + 62 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/283 and -109\/5782.\nAnswer: 1636306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -489*f + 18 + 488*f - 2.\nAnswer: -f + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*o + 63 = -56 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.5 times -2.04?\nAnswer: 13.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -3*f, 4*j + 5 = 3*j - 2*f. Suppose -1 + 41 = j*v. Calculate the remainder when 18\/(-72) - (-1290)\/v is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - 7*d - 5. Let o(t) = -t**3 + 3*t**2 + 4*t - 6. Let j be o(4). Let c(z) = -z**2 - 5*z. Let x be c(j). What is the units digit of p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*8\/(-240)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of u**4\/24 - u**3\/6 - 2*u**2. What is the remainder when 13 is divided by f(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 597\/6 + 1\/2. Let w = 199 - f. Calculate the least common multiple of 54 and w.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(320) + 2 + sqrt(320) - sqrt(320))*-1 + sqrt(320)) + (sqrt(20) - (sqrt(720) - sqrt(20)))\/sqrt(4) + (sqrt(20)*-2)\/sqrt(4))**2 + 3.\nAnswer: 24*sqrt(5) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 AM and 10:07 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(1\/(4\/4 - 2)). Let t = -80 + 561\/7. Let i = -1 - -1. Which is the nearest to 0.1?  (a) i  (b) r  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.4566 + 0.0434. Let x = 452 - 447. Which is the third biggest value?  (a) r  (b) 1\/3  (c) x  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(1\/(-1)) + 0. Calculate the remainder when (2 - 214)\/f - (-1 - -1) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 544230.\nAnswer: 2, 3, 5, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s. Let h(l) = 2*l**2 + 2*l + 2. Let z(t) = t**2 + 3*t + 3. Let c(y) = 3*h(y) - 2*z(y). What is c(f(u))?\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*h - 2*x, 5*h - 2*x + 3 = -6. Calculate the common denominator of (h\/20)\/(4\/(-156)) and -51\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 - 1 - (27 - -98)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -50*c**2 + 14*c + 14. Let r = -1813 - -1799. Let q(z) = -10*z**2 + 3*z + 3. Give r*q(w) + 3*n(w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19174.5 - -19174. Which is the closest to 0.1?  (a) 2\/11  (b) -40  (c) o  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**4 + 6*g**4 - 4*g**4)*(-1 - 3 + 3) + 2*g**4 + 3*g**4 - g**4 + (4*g**2 + 2*g**2 - 2*g**2)*(-g**2 + 2*g**2 + 0*g**2) + 3*g**4 - 2*g**4 - 6*g**4.\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = x - 16. Let j be (-64)\/(x\/(-4))*1. Let k = -11 + j. Solve -21 = k*b + 2*v, -2*b + 5*b - 3 = 4*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/8)\/(((-30)\/24)\/5). Let q be 2\/6*(-9)\/(-1). Let m(y) = y**2. Let x be m(2). Solve 0 = -x*k - q - g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 0*d + 12. Let a = 11 + d. Calculate the greatest common factor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -15425, -46230, -97571, -169448, -261861, -374810?\n\"Answer: -10268*x**2 - x - 5156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/3, 2\/13, -2, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 15 = -7. Let r(b) = b - 3. Let d be r(6). Solve 0 = d*g - c*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2002)\/7722)\/(1\/(12\/1)*-14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -53, -43, -9, 61, 179, 357, 607?\n\"Answer: 2*d**3 - 4*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 56736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2919 take away -2240676?\nAnswer: 2237757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 76695 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4214567357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1211 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 8, r: 2, z: 2, o: 4}. What is prob of sequence oz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*t**2 + 130 - 386 + 119 + 118 in the form l + k*t**2 + o*t and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 94196, 94250, 94304, 94358, 94412, 94466?\nAnswer: 94520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 2, -2\/23, -0.4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49344 is divided by 69.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 15, 4*k = -h + 4*h - 23. Let r be -3*h*(-6)\/9. Let t be r\/(-10) + (-106)\/(-5). What is the highest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -d - 4*d + 695, 139 = d + 3*a. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1204*d**4 - 1597*d**2?\nAnswer: 28896*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -723 = -4*s + 2*p - 709, 2*s + 2*p - 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 280 and 8568.\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/832 and 137\/290304.\nAnswer: 3773952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16509343 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 8*n**2 - n + 8. Let y(x) = x**2 + 1. What is -u(k) + 6*y(k)?\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 9681647.\nAnswer: 1936329.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -13327 + -2.15\nAnswer: -13329.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 PM and 4:31 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 2. Suppose -5*w + 3*w + 6 = 0. Let j = w - 6. Is j at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*m - 63 = -31*m + 3*f, 2*m - 2*f + 14 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24063 + -50187\/2. Let c = -4185\/4 - w. Calculate the common denominator of -49\/16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 14 + (32 + -50 - -38).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90699.\nAnswer: 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 0 - 8*m**4 + 0 + 107*m**2 - 98*m**2 + 0*m**4 + m to the form f*m**2 + v*m**4 + h + l*m**3 + a*m and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -12*y. Let b(c) be the first derivative of -c**3\/3 + 23. What is b(t(m))?\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 2. Suppose -r + 20 = 4*r. Suppose g = 0, -r*g = 4*j + j - 20. Which is the closest to 1\/3?  (a) j  (b) s  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2036 + 326 = -570*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u + 43. Determine f(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2220 + -6?\nAnswer: -2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 340, 429, 268, -143, -804?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-10))\/((-1694)\/114345)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-32))\/((9\/6)\/(-1))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n - 7. Let w(l) = l - 6. Suppose 2*x + 0*x + d = 11, 2*x - d = 13. Let g(i) = x*w(i) - 5*t(i). Determine g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4258422*d*h**3 - 32*h**3 + 180780 wrt d?\nAnswer: -4258422*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, q: 1, w: 4, v: 2, l: 1}. What is prob of picking 3 l and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 211 (base 3) to base 4\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 33 = 157*n - 160*n, -5*j - 55 = -5*n. What is the remainder when 54 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 6*c**2 + 2*c + 1. Let v(f) = -2*f - 13. Let q be v(-6). Let h be j(q). Solve -3*o + 3 = -h*n, o - 5*o - 1 = -5*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*p + 12*u - 3*u - 18, -4*u = -106 + 90 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (4\/(-21))\/(9\/(-648)*4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -219 - -309. Let o(w) = -c*w + 11 + 90*w + 11*w**2. Is o(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02209 plus 87675906?\nAnswer: 87675906.02209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 717624088 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of -5*s**6\/24 - s**4\/24 - 538*s**3\/3 - 899*s**2. Differentiate k(b) with respect to b.\nAnswer: -75*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5685541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/3 in 1, 47, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 563864, 1128187, 1692510, 2256833?\nAnswer: 2821156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -250*x**3 + 961*x**3 + 538*x**3.\nAnswer: 1249*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i + 3*i - 2*i + (-3*i + i + i)*(0 + 0 - 1) + (2 - 4 + 3)*(2*i + 1 - 1) + 489 + 368*i - 489 - 3*i + 4 - 4 to the form a + l*i and give l.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 3*y + 2*l = -40, -4*y = -4*l - 144. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 3*h - 4*d + 85, -2*h - 3*d = 45. Let w = -119\/4 - h. Which is the closest to w?  (a) -2\/15  (b) 2\/7  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 141\/(-2562)*4*1. Let m = -50\/53 - -2838\/3233. Let g = m + w. Sort 3, -1\/3, g in descending order.\nAnswer: 3, g, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 765*d**2 - 27*d - 12 wrt d.\nAnswer: 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(3) + -1*sqrt(108) + 2 - (-3 + (sqrt(108) - sqrt(3)) - (-4 + 1*sqrt(3)))).\nAnswer: -9*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6676 (base 9) to base 6.\nAnswer: -34453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -128*b + 1983. What is the tens digit of q(-50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 79 + -21 + 30 + -66 + -115 + -1?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 4, -1.5, -0.1, -222?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002126271567 rounded to 6 decimal places?\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q**7\/q*q)*q**5*q*q*(q**(-6)*q)\/(q*q**(1\/7)))\/(((q\/(q\/(q**(-1\/5)*q)))\/(q*q**(-3\/11)\/q))\/(((q**(-2\/7)*q)\/q)\/q*q)**20) assuming q is positive.\nAnswer: q**(-4593\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*g + 6. Which is the biggest value?  (a) 2\/5  (b) g  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 311302 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -16*s**2 - 3*s - 2. What is i(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-62004234)\/(-1939) + 6\/(-14)?\nAnswer: 3, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2322323 (base 5) to base 13\nAnswer: -162a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1242 - 1246 + 2488 - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = 3*b + 22, 5 = -2*w + 3*b + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 245 = 2*f. Let z(u) = -37*u - 183. Let o be z(-5). What is the third derivative of f*n**o - 42*n**2 - 20*n**4 - 6*n**4 wrt n?\nAnswer: -624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 6 = 3*z, 0 = 5*h - z - 2 + 4. Suppose 3*y - y + 2*c - 2 = 0, -3*y + c + 7 = 0. Suppose h = -y*p - 3*d, 4*p + d = -d + 8. Solve -2*k + p = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (45\/180)\/(1\/(-2)). What is the smallest value in -4, x, -3, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/w**(2\/33))\/(w*((w\/((w**(-27)*w)\/w))\/w*w)\/w*w) assuming w is positive.\nAnswer: w**(-893\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -278*p - 9177 + 27247. Calculate the remainder when 470 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k**3\/2 - 252*k**2 + 41736*k - 2278016 = 0. Calculate k.\nAnswer: 148, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -51 + 84 + 17 + -54?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1*k)**(-7\/12)\/(k**(2\/3)\/k*k)**(3\/8)*(((k**(-3)*k)\/k*k)\/(k*k**(2\/5)))\/(k\/k**(-2\/7))**42 assuming k is positive.\nAnswer: k**(-3529\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -a**6\/720 - a**4\/8 - 23*a**2. Let v(h) be the second derivative of u(h). What is v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33 + -15. Let l = -18 + w. Which is the smallest value?  (a) l  (b) -2\/7  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-s - 2*s + 5*s)*(-23 + 7 - 5)*(-3 + 2 + 3)*(-4 + 4 - 2) to g + q*s and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 4*y**3 - y**2 - y + 1. Let f be b(1). Let u = 44 + -40. Suppose -4*v + 6 = 3*c, -6 = u*v - 2*c - c. Solve -w + 0 - f = v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.452 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 270407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-15)*(-15)\/40)\/(1378\/(-172) - -8)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -7*p - 21. Let q(r) = -r - 1. Let i(t) = a(t) + 2*q(t). Let y(u) = -28*u - 69. Let j(l) = 7*i(l) - 2*y(l). What is the tens digit of j(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = q - 4*l, 3*q + 2*l = -q - 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -501.000538 + 501. What is w rounded to 5 dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 36 - 34. Suppose -12 = -6*i + o*i. Let p(t) = 3*t - 3. What is the least common multiple of 8 and p(i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + (-2 + (-2)\/3)*(-42)\/108. Let j(a) be the first derivative of 0*a + 1\/18*a**2 + 14 - o*a**3. Find l, given that j(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q - 10. Let j be b(-10). Let s(n) = n**3 + 2*n**2 - 2*n + 2. Let h(x) = -2*x**3 - 5*x**2 + 5*x - 6. Let z(f) = -h(f) - 3*s(f). What is z(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 3*p - 11 = 0, 3*g + 6*p - 2*p = 14. Let z be (-2 + 4 - 2) + g. Let m be (-2 + 1)\/(8\/z). Which is the third smallest value?  (a) 0  (b) -2\/7  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = 7*x - 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6285309*q**6 - 2*q**2 - 15756958*q wrt q?\nAnswer: 754237080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -692?\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 568 and 363449.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19880157.\nAnswer: 3, 11, 17, 35437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of 4487*h**4\/24 + 727*h**3\/6 - 22*h**2 + 21*h. Find the first derivative of m(w) wrt w.\nAnswer: 4487","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/16 and 63\/2480?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.086, 0.3, 6\/11, 5, -1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/4)\/p)**(-1\/31)*(p**(-2\/5))**(-16\/9))**(1\/65) assuming p is positive.\nAnswer: p**(4193\/362700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 6:29 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2628*t + 63282?\nAnswer: 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*c - 32*c + 2736 = 0. Suppose 25*i - c = 6*i. Calculate the smallest common multiple of (-2)\/8 - 225\/(-4) and i.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t + 4*r = -4*t + 56, 0 = 5*t - 3*r + 62. Let k be (8\/t)\/((-1)\/15). Suppose 0 = k*f - 9*f - 612. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8469062581 + 3118151601. Let u = 5350911047.99999959 + r. Let d = u + -68. What is d rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1292 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 304, 316, 328, 340, 352, 364?\n\"Answer: 12*q + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(19) + sqrt(19))*1 + (sqrt(19) - (1 + sqrt(76)\/sqrt(4))) - (0 + sqrt(1216) + -4 - (sqrt(1216) - (-1 + sqrt(1216)))*2)**2) + -2.\nAnswer: -1255 + 98*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -37975\/13229?\nAnswer: -37975\/13229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -w**5\/90 + w**4\/27 + w**3\/27 - 2*w**2\/9 + 9*w. Factor f(r).\nAnswer: -2*(r - 2)*(r - 1)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 7*r + r**2 + 22 + 4 - 14*r - 20. Suppose 0 = q + 4*k + 4, -2*q + 0*k + 22 = -2*k. Calculate m(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 657*g - 649*g - 6776. Let w = g + -842. Let 0*m**3 - 5*m**4 + 0 + 20\/3*m**2 + 0*m - 5\/3*m**w = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9120 divided by 6.\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -133 - -265. Let f = 142 - k. Calculate the greatest common factor of f and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 107 = 2*q. Let h = q + -20. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 0*m - 5 - m**2 + 0 + 7*m. Let w be p(5). Let h be (0 + 200\/12)*(-6)\/(-4). What is the greatest common factor of w and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 58a - 1c?\nAnswer: 56e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 3. Let l be x\/(-18) + 164\/(-9). What are the prime factors of l\/5*(-20)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 658230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-2*1)\/(-70)*(-385)\/(-77)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 205693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.519224 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -105, -4?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23845 + 3675 = 5*q. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1250 and 25500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -183*i**2\/5 + 72*i + 12\/5.\nAnswer: -3*(i - 2)*(61*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2 - (-1 - 22\/40) and (4\/(32\/12))\/(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2488, 2485, 2482, 2479, 2476, 2473?\n\"Answer: -3*r + 2491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -2*m**5 + 168*m**4 - 3356*m**3 - 7224*m**2 - 3698*m = 0?\nAnswer: -1, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 17*d**2. Let k(u) be the second derivative of -12*u + 0*u**2 - 1\/12*u**4 + 0 + 0*u**3. What is k(l(q))?\nAnswer: -289*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 184 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/6?  (a) 0.5  (b) -2\/5  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 - (16 + -33) - 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1565972432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -12 + 1 + -5 - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 57123 and 2981.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2673?  (a) 0.07  (b) 0  (c) -0.004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -104, -196, -258, -278, -244, -144?\n\"Answer: 2*o**3 + 3*o**2 - 115*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54792094 by 409.\nAnswer: 133966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -581201, 2 in decreasing order.\nAnswer: 2, -5, -581201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -141850*o**2 - 138306.\nAnswer: -283700*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35\/3 - -12. Let d = -8 - -7. What is the closest to d in s, 1\/8, 0.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggggyggyggyggyggg. Give prob of sequence ygg.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4142, -4149, -4170, -4211, -4278, -4377, -4514, -4695?\n\"Answer: -j**3 - j**2 + 3*j - 4143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 PM and 11:37 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.28344 * -0.2.\nAnswer: -1.856688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, 0.1, -2\/15.\nAnswer: -3\/8, -2\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(588) + 2*sqrt(588))\/((sqrt(704) + sqrt(44))\/sqrt(11)).\nAnswer: 21*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 65*b**2 - 20. Let f be y(5). Suppose -5*w = -10*w + f. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y = -2*y + 30. Solve 0 = -y*u - 8 + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 658 divided by -2873?\nAnswer: -658\/2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 24233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {a: 3, k: 15, l: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14222286*g + 2*g**3 + 14222286*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a micrometer in nanometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 37452285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + -14. Let g(h) = h - 2. Let b(s) = s + 6. Let i be b(-4). Let v(f) = 5*f - 7. Let p(y) = i*v(y) - 9*g(y). Give p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-9321)\/(-45) + 8\/(-60)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 5*c - 16. Suppose -4*w = -2*w - c. Suppose -w*s + 118 = -114. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m + 5. Let d be v(3). Suppose g + 5*s = -d*g - 10, -4*s = -2*g - 14. Which is the nearest to 0.1?  (a) 1  (b) g  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c**2 - 384*c + 7180. Let o be s(171). Let l(h) = -h**3 - 3*h**2 - 2*h + 2. Let n be l(-2). Sort o, n, 4, 3.\nAnswer: o, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16819005 or -16819007?\nAnswer: -16819007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0057504671 rounded to 4 decimal places?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1648462147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*((-12)\/4)\/3. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/7?  (a) 12  (b) -0.084  (c) 6  (d) 0  (e) 0.3  (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d - 1. Let h(p) = 18*p - 7. Let x(b) = 2*h(b) - 18*r(b). Find the first derivative of x(a) wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**2 - 39*v - 130. Let f(p) = -2*p**2 + 41*p + 139. Determine 2*f(r) + 3*u(r).\nAnswer: 2*r**2 - 35*r - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -7*u - 33. Let g be x(-8). Let z(f) = -312 - g*f + 312. Let j(a) = 3*a. What is j(z(l))?\nAnswer: -69*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 46108*d**4*m + d**2*m - 6*d**2 - 88*d*m - 2*d - m wrt d.\nAnswer: 1106592*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -8*h**3 + 2*h**2 + 2*h - 2. Let v be t(2). Let p be 8\/v*12 + 2. Which is the third biggest value?  (a) p  (b) -1\/2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, t: 2}. Give prob of sequence tat.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 51332070*m**2*q**2 + 9385*m**2*q - 523*m*q wrt q.\nAnswer: 102664140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 - 284044\/13416 - -2. Let v = 3\/559 + s. Let y = -894 + 4442\/5. Calculate the common denominator of v and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (434\/(-465))\/(740\/(-725)) + 25\/(-30)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 + 0. Let f = -15.8 + q. Which is the biggest value?  (a) 1  (b) f  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1042 = 5*a - k + 3*k, -5*a - k + 1046 = 0. What is the remainder when a is divided by 2\/20*533 + 741\/(-2470)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3595345 and 5?\nAnswer: 3595345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 36191345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -25*u**3 + 50*u**2 + u + 210. Let t(z) = z**3 - 5*z**2 - 1. Calculate 10*t(g) + v(g).\nAnswer: -15*g**3 + g + 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q. Let t(a) = -20*a - 4. Let h(p) = -3*s(p) + t(p). Calculate the remainder when h(-3) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*-26)\/((-4107)\/(-2738))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -249*c - 87*c + 240*c + 247*c.\nAnswer: 151*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 131 + -131.0163. What is l rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nmsnnnsnnnnsnmn. Give prob of picking 3 s and 1 n.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2882 - 1290. What is the units digit of 2\/6 + (t\/(-12))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**2 - 15. Calculate q(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**11*u)\/u**(-2\/3))\/(u**(2\/47)*u**(-12)))**(-2\/131) assuming u is positive.\nAnswer: u**(-6944\/18471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 49*g**3 + 5*g**2 + 15*g - 2. Let n(a) = 146*a**3 + 14*a**2 + 43*a - 5. Determine 3*n(k) - 8*x(k).\nAnswer: 46*k**3 + 2*k**2 + 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-11\/4)*z)\/(z\/(((z\/z**(-4))\/z)\/z)))\/(z**(15\/8)\/z**3))**(8\/15) assuming z is positive.\nAnswer: z**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -17*x - 123. Let w be f(-7). Is w less than -76\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/15)\/((-5616)\/(-5265)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 8008.2339361902\nAnswer: 8008.2339361902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 + 2*w**2 - 5*w - 4. Let j be h(-3). Let c be 2 + (0\/(-2) - j). Suppose 2*u - 30 + 20 = c. Solve -10 = -m + 4*m - u*l, 0 = 4*m + 2*l - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**5*t*(t\/(t**(-1\/6)*t))\/t)\/(((t*t\/t**(4\/7))\/t)\/t**(-5)))\/((t**(-6)\/(t*t**1))\/(t*t**(2\/21)*t**(-6)*t)) assuming t is positive.\nAnswer: t**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3*n = 13, 9 = 4*s - 0*n + n. Let u be (-68)\/24 - s\/6. Is -3 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 9*f. Let x(b) = -2*b. Let d(a) = 2*u(a) - 9*x(a). Let l(k) = -7*k**2. Calculate l(d(v)).\nAnswer: -28*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z - 5. Let b be i(5). Suppose -t - 4*u = -2*u + 7, 3*u = -t - 11. Let f be (t + b - -2) + -1. Solve -1 = -d + f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 319\/2 - 160. Let h = -39 + 115\/3. Which is the third biggest value?  (a) h  (b) -2  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**4\/5 - 24*j**3\/5 + 209*j**2\/5 - 264*j\/5 - 496\/5.\nAnswer: -(j - 4)**2*(j + 1)*(j + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 73 - 60 - (0 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -354, -738, -1120, -1500, -1878?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 697859.8 + -0.288.\nAnswer: 697859.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 - 5*r + 1. Let k be n(2). Let x be 4\/(-10) - 27\/k. Suppose -x*s = -10*s + 36000. Round s to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 399173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 - 19*n**2 + 7*n**2 - n + 5*n**2 - 36.\nAnswer: -6*n**2 - n - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 34, 1, 4, -1, 10, -5 in descending order.\nAnswer: 34, 10, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 3*w = -896 - 72, -d - 3*w + 227 = 0. Calculate the remainder when d is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6317 rounded to 2 decimal places?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 - ((-3948)\/(-423) - (-4)\/(-12))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -7 - (-7 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-5880)\/(-150))\/49*(-110)\/(-8)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.858243 decades in centuries?\nAnswer: 0.8858243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 29*a + 5. Let h(r) = -56*r - 8. Calculate -3*h(j) - 5*m(j).\nAnswer: 23*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-3))\/(1\/(-6)). Let a(s) = -s - 4. Let y be a(t). Is 729\/21 + y\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -136*k + 113*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 0 - (-7 - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*v - 0. Let x be -2 + 2 + v + -1. What is the third derivative of x*s**5 + s**5 - 2*s**2 + 2*s**5 wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 178 divide 119438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32 and 164.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -63*u - 1182. Calculate f(-19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22 or 0.9?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4 = d - 1, -5*w + 15 = 3*d. Suppose -2*r = -2*l - 1 + 3, -l = d*r - 13. Let y(m) = -r*m + 5 + 1 - 5 + 6*m. Determine y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2*m + 56, 2*m - 5*q = -q + 56. What is the remainder when 63 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 123293295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.22936 rounded to two decimal places?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by -69777\nAnswer: 1\/7753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 33*j**2 - 96*j - 54. Let n(o) = 2*o**2 - 3. Let p(b) = 18*n(b) - u(b). Determine w, given that p(w) = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 512833*n*v**3 - 8*n*v**2 - n*v + 3596*n + 8*v**3 + v**2 - 33706 wrt v.\nAnswer: 3076998*n*v - 16*n + 48*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 87779432, 175558864, 263338296, 351117728?\n\"Answer: 87779432*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 8.8 and -2170?\nAnswer: 2178.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 121003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*x**2 + 5956\/5*x + 4434242\/5.\nAnswer: 2*(x + 1489)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 6*u = u - 9, 2*j = -u - 15. Let r(a) = a + 8. Let k be r(j). Solve -4*i + 5 + 1 = -q, 0 = 3*q + k*i - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7654.323 micrograms?\nAnswer: 7654323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 4*w - 3. Let z be 2\/7 - (-84)\/49. Let l be k(z). Suppose j = l*j + 20. What is the nearest to 0 in -4, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2102096.\nAnswer: 2, 131381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48597 = -11*r - 10581. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7c - 1b4a1?\nAnswer: -1b423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (21 + 2) - -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - b**4 - 2 + (-b**3 + b**2 - b**2)*(20*b - 14*b - 12*b) + 8*b**2 - 8*b**2 + 5*b**4.\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -4041, 6, 10, 3, -1, 5, 41 in increasing order.\nAnswer: -4041, -1, 3, 5, 6, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6  (b) 0.6  (c) 1\/254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 583304, 1166625, 1749952, 2333285, 2916624, 3499969, 4083320?\nAnswer: 4666677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 PM and 11:53 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 446*p**2 + 441*p**2 - 886*p**2. Let y(m) = 324*m**2. Calculate y(j(z)).\nAnswer: 324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -691008, -690999, -690980, -690945, -690888, -690803, -690684?\nAnswer: -690525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 + 8*d - 4. Let c be f(3). Suppose 0 = 9*i - c*i + 24. Suppose 0 = h - 3*h + i. Solve -u + a + 26 = h*a, 0 = 2*u + a - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2703, -5430, -8145, -10842, -13515, -16158, -18765?\nAnswer: -21330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 60 and 168178440?\nAnswer: 168178440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 5*i + 76, -4*b - 4*i = 48 - 352. Let w be (-12)\/42 + 9594\/14 + -1. What is the highest common divisor of b and w?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -9*d - 33*d + 873 - 21*d - 906. Let i(c) = -4*c - 2. Let a(o) = 33*i(o) - 2*p(o). Let v(r) = -5*r. Calculate v(a(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -108 + -30?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32*u**2\/7 + 9365776*u - 4797065004494.\nAnswer: -2*(4*u - 4097527)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 11:37 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (9 - 4 - 3) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 3*o + 4. Let k be y(0). Let l(f) = -k*f + 11*f + 2 - 6*f. Let r be l(3). Let d(v) = 2*v - 7. Determine d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175907 times 0.17?\nAnswer: 29904.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1, 4, 1\/1057 in descending order.\nAnswer: 4, 0.5, 1\/1057, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 + 1. Suppose -g + 9 = -12. What is the greatest common divisor of g and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 117\/10 + -23\/2. What is the closest to 0 in 3, y, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 838 is divided by 207.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 7. Let h(f) = -1 + 0 + 233*f - 234*f. Let m(x) = x + 1. Let l(q) = -q - 2. Let a(j) = l(j) + 6*m(j). Give d*h(y) + a(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**2 - 17362*d - 4 + 0*d**3 - d**3 + 17361*d. What is i(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(448) + 1 + (sqrt(35)*-3)\/sqrt(5) + (-3*3*(sqrt(1008) - (sqrt(1008) + 3)))**2.\nAnswer: 5*sqrt(7) + 730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 2. Suppose p - 2*h = 5*p - 62, 0 = -s*p + h + 25. What is the lowest common multiple of 2 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 0.151296?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/320 and 77\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17880946 - -4.\nAnswer: 17880950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 49 - 2. Suppose -3*h + 62 = v. Let t = -263 - -276. Which is greater: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -51 - -5546500?\nAnswer: 5546427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 209*w + 2689. What is the hundreds digit of f(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 f when three letters picked without replacement from {g: 3, f: 1, n: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 12:32 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3797508 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12\/18*6\/2. Suppose 5*u + 1 + 4 = 0, -i*u = -2*a + 12. Sort a, 3, -2 in increasing order.\nAnswer: -2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 377327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1237137*m - 4004655 wrt m.\nAnswer: -1237137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25*a**4*u + 1200*a**3*u - 40527*a**2*u + 3*a*u - 2*a wrt a?\nAnswer: 600*a*u + 7200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 429159737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 50 - -10. Let j = q + -60.098. Let p = j + -2.902. Put 5, p, 3 in decreasing order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 18*s**2 - 9. Let j be l(6). Let v = -354 + j. Calculate the highest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28*-2.386.\nAnswer: -66.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w**3 - 22*w**2 - 8*w - 6. Let v be h(12). Suppose -4*s = 2*k - v, -183 - 44 = -5*s + 3*k. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15149181449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6290091 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4738 or -137406\/29?\nAnswer: -4738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -3*r + r. Let k be 16\/56 + (-33)\/r. Suppose -15 = -k*p, -8 = u + 5*p - 29. Solve 4*t - u = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*k + 86*i = 91*i + 134, 0 = 5*k - 8*k - 4*i + 9 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + q + 17. Calculate the remainder when c(0) is divided by (-248)\/(-24) - (2 - 10\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y - 3. Let q be r(7). Suppose -p - 3 = -q*o, -3*p + o + 4 = -9. Suppose 4*z + 12 = -6*c + 3*c, -p*c - 6 = 2*z. Solve u = -c*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 - 13. Suppose m*s - 17 - 17 = 4*o, s + 14 = -5*o. What is the third derivative of 0*f**s - 2*f**2 + 3*f**2 - 3*f**6 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in seventy-five halves of a microsecond?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (29*(-34)\/(-2465))\/(3\/(3\/4))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 - 65 + 28 + 143*w.\nAnswer: 143*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 17 + 77. Let q(s) = s**2 + 12*s + 4. Is 3 a factor of q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lwl when three letters picked without replacement from {l: 2, f: 1, w: 3, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -71 smaller than -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - (-63)\/28)\/((-1)\/76). Let y = x - -2221\/13. What is the third biggest value in 2, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2*t**3 - 27*t**2 + 15*t + 32. Calculate g(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -67567261*c**3*q**2 + 427*c**3*q - 3*c**2*q + 16852*c + 2 wrt q?\nAnswer: -135134522*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -63 - 22?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*t = 61*t - 165. Calculate the greatest common divisor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -97, -220, -343, -448, -517, -532, -475, -328?\n\"Answer: 3*c**3 - 18*c**2 - 90*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 430022*d**3 + 285122*d**2 wrt d.\nAnswer: 2580132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 106, -5, 3, -480 in descending order.\nAnswer: 106, 3, 0.3, -5, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(147) + (sqrt(147) - (-1 + sqrt(147) + sqrt(147))**2) + (sqrt(30)\/sqrt(10))**2 + -1 - 6*(sqrt(300)*-4 + 0).\nAnswer: -587 + 282*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*u**5*w**2 + 3*u**5 - 2*u**2 + 1026*u - w**2 wrt u.\nAnswer: -160*u**3*w**2 + 60*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/1 - (-15 + 9). Let j be (-5*i\/(-15))\/(2\/9). Suppose z + j*h = 28, -2*z - 2*z = -4*h - 144. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 3*b. Let l be i(-1). Let v = 3 - l. Solve 5*u + 2*o - v = 3*u, -5*u + o - 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 725546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -709, 0, 5\/2, 0.5, 477?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -794552*u**2 + 0*u + 0*u - 3997 + 785325*u**2 wrt u.\nAnswer: -18454*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1768\/299 - (-6)\/69. Let b(z) = -z**3 + 6*z**2 + 6. Calculate b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 317*a + 348*a**3 + 170*a - 351*a**3.\nAnswer: -3*a**3 + 487*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/(f*f**(-1\/36)*f))\/f)\/((f*f*f**(-27)*f*f*f)\/f) assuming f is positive.\nAnswer: f**(793\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {w: 1, e: 1, n: 14}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 92*t**2*w**4 - 16*t**2 - t*w**4 + t + 69 wrt w?\nAnswer: 368*t**2*w**3 - 4*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 4*d**3 - 13*d - 11. Let a = 142 + -155. Let h(t) = 2*t**3 - 6*t - 5. What is a*h(v) + 6*s(v)?\nAnswer: -2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 - 3*s**2 - 17*s - 48. Determine i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2003, 8670, 19775, 35312, 55275, 79658?\n\"Answer: -y**3 + 2225*y**2 - y - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 2*r + r = 5, 0 = -o - 3*r + 13. Suppose 0 = z - 2*g - 3*g + 11, o*z - g + 6 = 0. Calculate the remainder when (0 - z) + 1 + 3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/7 of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 166071.7509 + -166060. Let u = 11.69 - v. What is u rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -659161 divided by 3?\nAnswer: -659161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/2)\/(6 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(-9) - 7696\/144)*-3. Let x be 440\/n + (-6)\/2. Which is the nearest to -1\/2?  (a) -0.6  (b) x  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/3)\/(0 + (-7)\/(-273)). Does 85 divide (-2 + n + 0)*(-69 - -63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21 - -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 225508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 - 11*l**2 - 6*l - 8. Give r(8).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2436 and 1218?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8006513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -0.5, 2\/5, -3 in decreasing order.\nAnswer: 2\/5, -0.5, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1045 divided by 3?\nAnswer: 1045\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -57371 less than -57370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 + 7*c + 6. Let y be 1\/((-3)\/3)*1. Let h = -34 + y. Let g be (-1 + h\/(-15))\/((-1)\/3). Determine m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 975 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: Is 80812219513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x + 25. Calculate r(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 195184405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (9 + -3)*(-2 + 10\/4). Find v, given that 20 - 20*v**u - 6*v**2 + 27*v - 7*v - 9*v**2 - 5*v**4 + 0*v**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 13\/9*g + 4\/3 + 1\/9*g**2.\nAnswer: (g + 1)*(g + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18768 (base 15) to base 12\nAnswer: -39a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1)\/(-2)*737\/264 and 89\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qnc when three letters picked without replacement from ccfcffffncqqqfc.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5\/181 or -0.9?\nAnswer: 5\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -3*q - 12. Let b be (-3 + (4 - 9))\/1. Let p be k(b). Calculate the greatest common divisor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*z**2 + 876550*z + 584360.\nAnswer: 5*(z + 58436)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 1, -551, 4 in descending order.\nAnswer: 4, 1, -19, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/25  (b) 198  (c) -0.2  (d) -2\/11  (e) -8  (f) -1\/6  (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -87 + 75. Let i be (0 - 38\/(-3))*y\/(-8). Solve -3*s + i = -s + 5*n, 3*n - 7 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.9595865 decades?\nAnswer: 0.009595865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 33 - 18. Suppose -k = -2*q + 3. Let z be q\/(-12) - 14\/(-40). What is the smallest value in -0.2, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/6 - (-10)\/(-225)*3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at most 2\/1245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 0*j + 0*j + 2*j - 2. Suppose 4*i - 16 = -0*i. What is the units digit of z(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 140.21 + -142.1046. Let a = y - -1.9. Round a to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k + 3*k + 88 = 0. Is (1\/k*10)\/((-2)\/(-6488)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -0*n + n. Suppose 0 = n*i + l + 106, 3*l - 45 = 2*i - 6. Let t = -9 - i. What is the least common multiple of 20 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = 5*i - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5472)*2)\/((sqrt(2) + sqrt(2)*2 - sqrt(2))*5))**2.\nAnswer: 2736\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/1*5*48\/(-280)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1217300, -1217298, -1217296, -1217294, -1217292?\nAnswer: -1217290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -4*d. Let u(o) = -328*o - o**2 + 328*o. Determine t(u(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 1342 = -1442. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - 11*s**2 - 5*s - 983. Determine h(15).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 478.4675 years in decades?\nAnswer: 47.84675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7 + (-27)\/4 + 807\/4. Is k at least as big as 203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b**2 - 5160*b + 305235 = 0. What is b?\nAnswer: 63, 969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (311 + 231 - 662)*(4*h - 2*h - h)*(h + h - 3*h).\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (7\/35)\/((-2)\/(-10)). Solve k + 3 = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1c9 + 5?\nAnswer: -1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -9\/20  (b) 0.9  (c) -2\/11  (d) 1  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*d - 257 = 103 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*n = 5744 + 1462 + 564. Calculate the remainder when 5322 is divided by n.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 10*m**2 - m - 8. Let q be f(-10). Let w = 5031 - 5027. Solve 0 = q*l + w*y + 18, -5*l + 0*l - 2*y = 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 161 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 4258 = 5*f, -2*f = -6*f - 5*o + 3401. Let c = -1429 + f. What is c rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1629, -6383, -14307, -25401, -39665?\n\"Answer: -1585*x**2 + x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1333120 + 23?\nAnswer: -1333031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 17 + 4 - (2 + -12 + 6)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 14 - 85?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -310 - -20104?\nAnswer: 14244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 10529512, 21059020, 31588528, 42118036, 52647544?\n\"Answer: 10529508*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -214*l + 1398. Let c be r(-6). What is the highest common factor of 36 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(45) - (sqrt(45) - sqrt(270)\/sqrt(294) - sqrt(45) - sqrt(45)))*4)\/((sqrt(90)*1*5)\/sqrt(10)).\nAnswer: 60*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + n + 234*n**4 + 5*n**3 - 7*n**2 + 0 - 221*n**4 + 1 + 2*n**2 to the form a*n**3 + r*n + s*n**4 + u*n**2 + w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*h - 21 + 39. Suppose 0 = h*a - 8, 3*q - 6 = 5*a - 11. Solve q*b + 20 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 235 - 115. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 2*c - 5*w - 5, -c = 2*w - 2. Let i be 3\/(-2) + 63\/6. Let s = c + i. Solve -s = t - 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yruc when four letters picked without replacement from ruycyycrrceyy?\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100598 is divided by 127.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33 + 44. Calculate the remainder when 20 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59135331 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*s**2 + 8*s**2 - 24*s**2.\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.13 - 7.9500777.\nAnswer: -8.0800777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-22)*g**(-9)*g**(-5\/2)*g*g*g**7 assuming g is positive.\nAnswer: g**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(2 + 0 - 4)*(-635 + 1799 - 881)*(0*s + s + 0*s).\nAnswer: 1132*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 484128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 569 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 654, 254, -302, -1014, -1882, -2906, -4086?\nAnswer: -5422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o. Let y = 3 + -2. Let s be 1\/(y + 1\/(-2)). Let c(r) = r + 237 - 237. What is s*b(q) + 6*c(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 412, 983, 1724, 2641, 3740, 5027?\nAnswer: 6508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7408 + -6497. What are the prime factors of t?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.562 + -0.238. What is the third biggest value in -1\/2, 1\/8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 671137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -12*h**3 - 38*h**2 - 63*h - 116. Is z(-35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 768671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, e: 1, l: 2, v: 5, r: 7}. Give prob of picking 2 l, 1 d, and 1 v.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 12*o**2 - 5*o - 4. Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18499 - -18358. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z**2\/8 - 155*z\/4 + 26 = 0. Calculate z.\nAnswer: -104, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/6, 10, 3, -477, -33, 4 in descending order.\nAnswer: 10, 4, 3, -5\/6, -33, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 12 - 58 = 3*z - 5, -2 = 3*j + z + 33 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 132840329 to the power of 1\/2, to the nearest integer?\nAnswer: 11526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0545121689 - 0.3?\nAnswer: -0.3545121689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 divided by 18?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -988959 by -4643.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39769, -39851, -40077, -40519, -41249, -42339?\nAnswer: -43861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -72*x**6 - 1963*x**3 + 796765*x**2 wrt x.\nAnswer: -8640*x**3 - 11778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttctttttctc?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/((-4)\/(-6) + (-13)\/15). Let p = -8 + r. Solve 3*m = 2*h + 1, p*m + 2 = -0*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.343+19697559\nAnswer: 19697557.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*m + 34*m - 9*m)*(29*m - 22*m + 15*m)*(2 + 1 - 4) in the form q*m + b*m**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*(a\/((a*((a**16*a*a)\/a)\/a)\/a))\/a*a)**(5\/3))**(2\/31))**(-1\/4) assuming a is positive.\nAnswer: a**(35\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 4*a - 22 = -4*o, 3*o = 5*a + 25. Suppose 23 = 3*z - 0*z + 4*m, -o*m + 13 = 2*z. What is the greatest common factor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05107631 rounded to 3 dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -53.6959 + -1.3041. What is the third biggest value in 0.9, 1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-4)\/b*b*b)\/b*b)**1 assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 5*t**2 - 6*t - 27. Let x(g) = 11*g**2 - 13*g - 53. What is 13*l(y) - 6*x(y)?\nAnswer: -y**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 54 + 48. Let n(u) = u**2. Let b(a) = 5*a**2 - 4*a. What is l*n(q) - b(q)?\nAnswer: q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 180035087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 2*n = 264. Let r(s) = -s + 3. Let u be r(0). Let x(y) = 2*y**2 - 2*y + 5. Calculate the remainder when n is divided by x(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 3\/40  (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 19507 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 2:29 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -5552\/7 - 18\/7*i**2 - 24988\/7*i = 0.\nAnswer: -1388, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6.034366km?\nAnswer: 6034366000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12985*n**4 + 2*n**3 + 298*n**2 - 198349*n - 5 wrt n.\nAnswer: 155820*n**2 + 12*n + 596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 61 + 2?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-2)*((-2)\/(-14) - (-35649)\/1631)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-6)*2*-1. Find the first derivative of -o - 5*o + 3*o + c - 4 wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u - 4. Suppose -2*h - 14 = 5*r, r - 7 = 5*h + 1. Suppose 0 = w - 2 - 3. Let b(m) = 7*m - 9. What is h*b(i) + w*y(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -18*f. Let o(j) = -508*j. Give o(z(d)).\nAnswer: 9144*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 5*r**2 + 4*r + 1. Let m be s(3). Let l be 34 - 0 - ((-9 - -6) + -1). Let v = m - l. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 5*g**2 - 4*g - 4. Let l(c) = -19*c + 5. Let v be l(6). Let y = -57 - v. Let d = 47 - y. Let p(f) = 5*f**2 - 5*f - 5. Determine d*b(i) + 4*p(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 568*i**2 - 192*i + 192*i - 6 - 570*i**2 + 6.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 25*c**2. Let i(q) be the second derivative of -3*q**3 - 1287*q. Determine i(j(l)).\nAnswer: -450*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -17*s - 6*s**2 + 6*s**3 + 32*s - 5*s**4 - 32*s. Let r(n) = n**3 - n**2. Let a(q) = d(q) - 6*r(q). What is the second derivative of a(t) wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.5 - 0.3. Let f = -6\/17 - -19\/102. Let g(a) = a**3 - 7*a**2 + 7*a - 5. Let r be g(6). What is the closest to r in f, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168273 = -18*m + 435807. What is m rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y - 5*t + 15, 7*t - 9*t + 4 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 10432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from szsfsddffdsyzzss.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(10) + -1*sqrt(10))*1)\/(sqrt(5) + -2*(sqrt(80) + sqrt(5))))**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38047211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -316, -2571, -8694, -20617, -40272?\n\"Answer: -322*m**3 - 2*m**2 + 5*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2652317 and -27.\nAnswer: -71612559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -69*l**2 + 69*l**2 + l**4 + (2*l + 7 - 7)*(0*l**3 + 3*l**3 - l**3) in the form t*l**4 + a*l + d*l**2 + g + f*l**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4610 - -10075?\nAnswer: 14685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -4*w**3 + 2*w**3 - 7*w - 4*w**2 - 8*w + 6 + 16*w. Let h be a(-3). Sort -3, h, 5.\nAnswer: -3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*z + 849 = -36*z - 481 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1653)\/(-2) - (-2 - 0). Let v = 812 - r. Calculate the common denominator of 1 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/((-160)\/12)*(-36)\/54.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*v - 10*v + 3*v + (-3 - v + 3)*(-4 + 2 + 1) + 0*v + v - 2*v + (-1 - 3 + 2)*(1 - 1 - v).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 9:07 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/21 - (-19)\/42. What is the closest to 1 in 3\/5, o, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 4*c - 13. Calculate n(-9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -44, -30, 6, 76, 192, 366?\n\"Answer: 2*c**3 - c**2 + 3*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 23869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37d (base 15) to base 12.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of 2*f**2 + 4\/9*f**4 + 1\/630*f**7 + 1\/45*f**6 + 8\/9*f**3 + 2\/15*f**5 - 36 + 0*f. Factor w(p).\nAnswer: (p + 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 411 + -190. Calculate the greatest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1033.4 - -1030.4. Let w be (2\/(-6))\/(1\/(-1)). Which is greater: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u. Let f(w) = 207*w - 11. Calculate f(d(j)).\nAnswer: -414*j - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 41312 and 2816.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 60 times 0.63015\nAnswer: 37.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**2 + 679508*a - 115432780516 = 0.\nAnswer: 339754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 26310 (base 9) to base 16\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.6171818m?\nAnswer: 61.71818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-3 - -4) - (5 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 6, 0, -14.\nAnswer: -14, -5, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2247 - 573 = 192*v - 231 - 1359 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*u + 18 = -66*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32203 or -128815\/4?\nAnswer: -128815\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 9 = 3*z - 2, -3*z = -9. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/45?  (a) -3  (b) -3\/2  (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1416801*w**2 + 783876*w wrt w.\nAnswer: 2833602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(5\/3)\/(n\/n**9))\/(n*n**(1\/5))**(2\/5))**22)**(-18) assuming n is positive.\nAnswer: n**(-90948\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1737 + 1736.9997462. Round r to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k = 2*k + 954. Let n = k - 140. What is the highest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-10)*a\/a**(-1\/33))\/(a**(-5))**(-2\/171) assuming a is positive.\nAnswer: a**(-16982\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.27*2.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 9694129, 9694127, 9694125, 9694123, 9694121?\n\"Answer: -2*a + 9694131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -10*d + 5*d + 42, -2*j = -4*d + 34. What is the least common multiple of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 528 = -4*g + 6*g. Let h = g + 127. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + -2 + (-3 - (-24 + 38))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 + u**2 + 5*u + 9. Calculate c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42000, -0.13, 3\/16.\nAnswer: -0.13, 3\/16, 42000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i**2*q**3 - 2036788*i**2*q**2 - 27*i*q**3 + 6*i*q**2 + 13*i*q + 2*q**3 + 12*q wrt i?\nAnswer: 2*q**3 - 4073576*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -7*t. Let b(z) = -z**2 - 689*z - 7 + 7 + 692*z. Determine o(b(a)).\nAnswer: 7*a**2 - 21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -109\/29, -3, -2, -0.2, -12106.\nAnswer: -12106, -109\/29, -3, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g**3 + 3*g**3 - 2*g**3)*(g + 3*g - 5*g) + (-g**2 - 2*g**2 + g**2)*(-g**2 + 0*g**2 + 5*g**2) - 3*g**4 - 2*g**4 + 4*g**4.\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -335554 times 0.1?\nAnswer: -33555.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 196965944 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -1103\/8848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 6215 divided by 2\nAnswer: 6215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63042 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 17010, 2.5 in increasing order.\nAnswer: -0.1, 2.5, 17010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*v - 7*v = 6820. Is 0.3 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*v + 14 + 3*v - 16)*(-6*v - 2*v + v)*(4 - 5 + 2).\nAnswer: 49*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1b09000 (base 13) to base 8\nAnswer: -42042765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2059.0479 rounded to the nearest integer?\nAnswer: -2059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -10*r + 11*r. Let b(p) = -4*p**3 + 3*p**2 + 3*p - 4. Let j(y) = -9*y**3 + 7*y**2 + 7*y - 8. Calculate r*b(q) + 3*j(q).\nAnswer: q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5728823.\nAnswer: 19, 53, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -962 - -1609. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((2*2\/6)\/((-12)\/828))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2016)*-1 + sqrt(56))\/(sqrt(1152)*2 + sqrt(1152)))**2 + -2.\nAnswer: -2417\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-14271792)\/10 - 1\/2. Let d = c - -1428651. Let m = d - 1482. Find the common denominator of m and -23\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of 2*u**2 + 247. Let f(c) = -3 + 3*c - 3 + 6. Determine f(y(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3464)\/(-24) - 146)\/(2*10\/(-588)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - q**2)*(-2 + 5 - 2)*(-47 + 10*q + 47).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 264615 = 5*r - 3*o - 2691867, 3*r + 2*o = 1773912. What is r rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, w: 3, a: 5}. Give prob of sequence da.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 7) + 14 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/220 and -117\/19910.\nAnswer: 39820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 - 4*i**2 - 9*i + 2. Let a be u(6). Let o = -12 + a. Let c be 73499998\/(-5) - o\/20. What is c rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3251, -3267, -3295, -3341, -3411, -3511, -3647, -3825?\nAnswer: -4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202 - 2 = 6*y. Let v = y - 2. Let j be (456\/v)\/((-2)\/3). Solve -5*o - f - 1 = 9, -3*o - j = -2*f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4815 divided by -5?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 t when three letters picked without replacement from aahaahaaamhbtbhhaaah.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = 3*v + 5*t, -t = 2*v - 5*v - 82. Let u be (-18)\/v + 20\/6. Solve 3*f + 2*k = -2, k + u = -0*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 75*v**2. Let z(k) = 2*k**2 - 49076*k + 49076*k + 3*k**2. What is o(z(g))?\nAnswer: 1875*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 42, -5, -152, 5, 1, 2, 19 in descending order.\nAnswer: 42, 19, 5, 2, 1, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 7721.22 to the nearest 100.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 103, 392, 875, 1552, 2423, 3488?\nAnswer: 4747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -1\/6*g**2 + 58 + 86\/3*g = 0.\nAnswer: -2, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that s**2\/4 - s\/2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4299901 and -20.\nAnswer: 8.599802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -7*q + 8. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1673960 and 2092450?\nAnswer: 8369800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**3 + 6192*d**2 - 4*d - 6192.\nAnswer: 4*(d - 1)*(d + 1)*(d + 1548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*k + 0*k**2 - 2*k**2 - 3*k**3 + 2*k**2 to the form j*k**2 + a*k + s*k**3 + w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u + 4*u**2 - 6*u + 2*u + (-5*u + 3*u + 0*u)*(-6*u + 2*u + 2*u) + 53*u**2 + 33*u**2 - 38*u**2.\nAnswer: 56*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k. Let s(b) be the second derivative of -29*b**4 - 15*b + 17. Give u(s(f)).\nAnswer: 696*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 152 a factor of 18054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 179783\/18 - 9985. What is the common denominator of v and 65\/788?\nAnswer: 7092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8953891.1000062 - -8953898. Let k = 6.9 - j. Round k to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 4*w - 18, 0 = -g - 2. What is the common denominator of 2\/(w\/2) + 448\/(-40) and (55\/(-30))\/((-2)\/20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/22 and -41\/3220?\nAnswer: 35420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m**3 - 4*m**2 + 3*m - 1. Suppose 0 = 3*z - 12, 12 = -v + 4*z - 2. Let b be h(v). Solve 2*n = 5*n - 9, 0 = b*o - n + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121142832?\nAnswer: 2, 3, 103, 107, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1158 + 5059. What are the prime factors of y?\nAnswer: 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -113550 by -3.\nAnswer: 37850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 26*a**2 - 6*a - 110. What is l(-24)?\nAnswer: 1186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*v**2 - 72 + 88 + 0*v**3 - 23 + 2*v**3 as k*v**3 + u*v**2 + w + f*v and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19702162381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1537 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15522\/3016)\/(-199)*8\/6.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -f - f, 5*f = 5*w - 50. Suppose d = w*d + 20, -3*o + d + 8 = 0. What is the remainder when 2\/10 - (-54)\/30 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -81 + 89. Calculate the lowest common multiple of x and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89155763.\nAnswer: 89155763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -21 times 0.02\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -3156.387785 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 3867 + (5 - 3) - (0 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 - 12. Find the third derivative of 5*t**6 - 2*t**2 + w*t**2 + 2*t**2 wrt t.\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*w - 1576 = 0, -3*x - 61*w = -59*w + 2368. Calculate the common denominator of ((-9)\/x)\/(3\/190) and 109\/30.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -62430932 by -283.\nAnswer: 220604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 203 or 1012\/5?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10208957 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5 - 4)*(-2 + 3 - 5)*(-42*l - 22*l - 38*l)*(-4 + 3 + 0).\nAnswer: -1224*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -6163, -3, 0 in ascending order.\nAnswer: -6163, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1718851 rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 - 112*g + 703. Let j be d(6). Let z(s) = s**3 - 6*s**2 - 2*s - 5. Let a(i) = 2*i**3 - 6*i**2 - i - 5. Let r(o) = 2*a(o) - 3*z(o). Give r(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -11*t - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23970 = d + 2*d. Suppose w + 2*z = -3*z + d, -4*w - z + 31998 = 0. What is w rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 283 is divided by (-456)\/988 - (-201)\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.32 - 0.02. Let u = -81719\/71 + 1151. Let p = u - -116\/923. Which is the closest to 1\/3?  (a) -1\/7  (b) p  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 87*w**3 - 4*w**2 - 16*w + 56. What is the hundreds digit of s(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zph when three letters picked without replacement from {h: 3, p: 1, z: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 30*x. Let f(m) = 4050*m**2 - 1. Give f(b(k)).\nAnswer: 3645000*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/7436 and 9\/10?\nAnswer: 37180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - -12b?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) -1  (b) -1\/4  (c) -4\/7  (d) 88  (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -70\/1247303 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*a - 7 = -15*a - g, 5*a - 4*g = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 252163 + 8?\nAnswer: 252170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/6 + 80\/75. Which is the nearest to -2?  (a) i  (b) 1  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 234122343 (base 5) to base 9\nAnswer: 2030344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-5 + -91)*4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -186655, -373810, -560965, -748120, -935275?\n\"Answer: -187155*f + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7689 - 7669. Solve c*v - 5 = 95 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 0*i - 32. Let d(o) = o**2 + o + 2. Let v be d(2). Let y = v + -13. Let h(m) = 10*m**2 - 16. Let l(f) = -3*f**2 + 5. What is i*l(x) + y*h(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 293605 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away -61123?\nAnswer: 61122.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of q**7\/21 - q**3 + 7*q**2. Differentiate b(h) wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 144*j - 1416. What is s(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/3 - 80*d**2 - 162*d - 244\/3.\nAnswer: 2*(d - 122)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8846.58*-0.1\nAnswer: 884.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 - 18. Suppose -8*j + 5*j + 21 = k. Let w = j + -7. Put w, 2, -4 in decreasing order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 2:07 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2004276449 to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 5 + 20 - 3 + 0*k**2 + 7*k - k**2. Let w be t(9). Suppose -11*z = -w*z. Sort 5, z, 1, 4 in descending order.\nAnswer: 5, 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59578008?\nAnswer: 2, 3, 7, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1618206*b*c**2*y - 2*b*c*y + b*c + 2*c**2*o - 341*c*o - 6*o*y - 5943*o wrt y?\nAnswer: 1618206*b*c**2 - 2*b*c - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2 + 619132*o - 619131.\nAnswer: -(o - 619131)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 259365\/22 + -11793. Find the common denominator of q and 137\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21196 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 56\/41 - -3267\/820. Let j = d + -19\/4. What is the nearest to 0.1 in 0, -1, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 4\/((-12)\/(-33)). Suppose -q*n + 3*n + 110 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 76*i**2 + 0*i + 9*i - 74*i**2 to p*i + c*i**2 + a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 741293.\nAnswer: 7, 105899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 75.7 + -47. Let h = w - 29.7. Sort h, 1, 2, 3.\nAnswer: h, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 12 = -h, 17 = 5*h - 2*x - 22. Suppose -h*w + 20 = l - 7*w, l + 3*w - 22 = 0. What is the first derivative of -l*z**4 - 16 - 35 - 20*z**4 wrt z?\nAnswer: -144*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c - 3 - 1 + 3 + 2*c**2 - 6 to s*c + n*c**2 + z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -523 + -1?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 3*u + 1696 = 0, -u + 12 = -4*b + 1396. What is the least common multiple of 12*(20\/8)\/5 and b?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3460 + 223b?\nAnswer: 569b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (11 - 12)*9\/(-1). Let a = -51 + 114. What is the highest common factor of a and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 814.04 times -199\nAnswer: -161993.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -31.08, 0.5, 2\/11, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -501, -523, -557, -597, -637, -671, -693, -697?\n\"Answer: y**3 - 12*y**2 + 7*y - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-96)\/(-20) + 1\/5. Suppose -2*o = -0*o + k*o. Solve o = -5*x - 2*l + 20, 3*l - 19 = -2*x - 0*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23014113 (base 7) in base 10?\nAnswer: -2003865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -39, -38, -37?\n\"Answer: c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, 0.02, 3 in decreasing order.\nAnswer: 3, 0.02, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 0 + 6 = 0. Suppose 1 = c*h - k + 6, 5*k = -25. Suppose -4*y + 4*g = -28, y + 2*g = -3*y + 22. Put h, 3, y in descending order.\nAnswer: y, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 - 2. Let m be s(0). Let c = m - -4. What is the derivative of -3*y - 1 - c + 6*y wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + 4 - (46 + -6)*-1. Suppose 5*y + k = -10*y. Sort -9, 0, y, -1 in ascending order.\nAnswer: -9, y, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4725 - 2293. Calculate the highest common divisor of i and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 16*j**2 - 15*j + 9. Calculate the smallest common multiple of 9 and a(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*h + 46 = -50. Let f be 21\/(-15)*5\/2. What is the second biggest value in 5, 2, f, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -66 - -71. Solve 15 = 5*c + p*x, -3*x + 3 = -c - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50)\/(sqrt(50)\/sqrt(5))*1 + (sqrt(45) + -4 + (sqrt(40)*-1)\/sqrt(8))**2)*5.\nAnswer: -75*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 78625114627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5\/2?  (a) 2  (b) -5\/3  (c) 1  (d) 3  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/(k\/k**(2\/5))*k)**(9\/5)\/(k\/k**(-3\/10)*(k*k\/(k\/k**(-3\/5)))\/k))**(-2\/53) assuming k is positive.\nAnswer: k**(-181\/1325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -144*(1698\/(-198) - -8) + -6. Is x != 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -33, 0.\nAnswer: -33, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 52\/14 - 15\/(315\/(-6)). Solve v - 2 = h + 3*i, 8 = 4*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 73.4028016 + -62.88279607. Let j = 1081.78 + -1092.3. Let y = j + m. Round y to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 448 = r, -2*r + 5*w = -r - 448. Let u(s) = -17*s - 377. Let z be u(-23). What is the highest common divisor of z and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 PM and 10:18 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 5 + 8)*(2*b - b + 0*b)*(-3 + 1 - 1).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*l**2 + 11*l**2 - 10*l - 3*l**2 to h*l + z + a*l**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -1*sqrt(128) + sqrt(2) + sqrt(2) + sqrt(14)\/sqrt(7)*3)**2.\nAnswer: 18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4, -30\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4*x = -12, -s - 3*x = -14. Solve -s*n + 11 = 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.086 or 0.31038?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -36114, -145138, -326846, -581238, -908314, -1308074?\n\"Answer: -36342*p**2 + 2*p + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4380 is divided by 1457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence um when two letters picked without replacement from {m: 9, u: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 - -3)\/((-5)\/13885) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 109225863 and 9896.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g*n**2 + 4*g - 46*n**2 + 6*n wrt n?\nAnswer: -4*g - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -99 + 357?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.571885 milligrams to tonnes.\nAnswer: 0.000000008571885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -3*m + 10*r - 6*r, -4*r = 5*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, 7, 2\/7, 0 in decreasing order.\nAnswer: 7, 2\/7, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27727093*y**3 - 18628683?\nAnswer: 83181279*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1048204?\nAnswer: 2, 262051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (620 - 11*c - 306 - 246)*(c**3 + 5*c**3 - 4*c**3).\nAnswer: -22*c**4 + 136*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/4)\/(2\/40). Let o be -1*1*(-4)\/4. Suppose -59 = -l + o. What is the highest common divisor of v and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*a = -0*s + 41, -3*a = 5*s - 43. Suppose 0 = -2*k - 4*n + 46, -3*k + 3*n + 180 = 2*k. Calculate the highest common factor of k and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y - 39 = -21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b**3\/19 + 42704*b**2\/19 - 2380958*b + 647149500 = 0. Calculate b.\nAnswer: 551, 20250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 4340397\nAnswer: -8680794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/9  (b) 3  (c) 121\/1278\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from aalayyaal.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -11*s**8\/112 + s**5\/10 - 4*s**3\/3 + 21*s**2 - 3*s. Find the third derivative of n(w) wrt w.\nAnswer: -1980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 + 78. Let s = f + -75. Let b be 4 - (2\/(-8) - (-60)\/s). Calculate the greatest common divisor of b and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -268, -515, -764, -1015, -1268, -1523, -1780?\n\"Answer: -c**2 - 244*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 AM and 5:19 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 65033581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -284 + 0.1?\nAnswer: -283.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2358.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/5 of a centimeter in micrometers?\nAnswer: 56000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28 and 792358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 187144700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-94)\/188)\/((-6)\/4)*(-52)\/(-8).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n - 9. Suppose -k = 2*k. Let f be d(k). Is f <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/5)\/(1\/5). Let i be 7 - r\/2*3. Suppose i*d - 5*h - 102 = 0, -d - h + 27 + 3 = 0. What is the remainder when d is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/(-162))\/((-11)\/(-2)) - (-5)\/((-810)\/36)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (-3 - 4\/(-2)). Suppose 3*p + 9 = -2*i, -t*i = p - 0*i - 4. Let r be p + (-2)\/(-3)*3. What is the closest to -0.3 in 3, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, b: 7, m: 11}. Give prob of picking 1 b and 2 g.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-64 + (-127 - -206) - (5 + 2 - 0))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.957 - 0.043. What is the nearest to g in -0.7, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2028275918 rounded to 5 decimal places?\nAnswer: 0.20283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 741704*g**5 - 3*g**4 + g**2 - 731716*g wrt g.\nAnswer: 44502240*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -129, 48, 223, 396, 567?\n\"Answer: -m**2 + 180*m - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -23*l**3 - 18*l**2 - 12*l - 2. Let m(p) = 40*p**3 + 35*p**2 + 25*p + 2. Let x(j) = -4*m(j) - 7*u(j). Calculate x(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.08 + -0.05. Let m = -5.03 + t. Which is the nearest to 1\/4?  (a) 2  (b) -1\/3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17560 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 140124, 139655, 139196, 138753, 138332, 137939, 137580?\nAnswer: 137261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4464386 is divided by 4264.\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ebebeehhrreebxrebl. What is prob of picking 1 x, 2 h, and 1 l?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -83 + 83. Suppose z = -5*c - 13 + 338. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286127759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4750866.84 rounded to the nearest 100?\nAnswer: -4750900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 1 + 3)*(-1 + 1 - q) + (-13 + 81 - 39)*(-3 + 3 + q) + 2*q + 0*q - q in the form o + d*q and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0065 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 547653 is divided by 1772.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7296122\/13 - -561805. Let t = -563 + i. Suppose 22\/13*j - 4\/13 - 2\/13*j**3 + 8\/13*j**4 - t*j**2 = 0. Calculate j.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.19 - 0.19. Let a = 35 + -36. Sort a, 0.21, d in ascending order.\nAnswer: a, 0.21, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 479.8 + -443.93. Let j = 62 - 98. Let n = v + j. What is n rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -65 - -134. Suppose 5*c - 26 = p. Solve v - 2*h = -4 + c, 3*v = 3*h + 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24679 + 24681. What is the closest to z in -0.069, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 5*m**2 + 9*m. Does 15 divide g(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3813, -3828, -3853, -3894, -3957, -4048?\nAnswer: -4173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -492*d**4 - 10078*d**3 - 11644*d**2 + 42258*d - 684 = 0. Calculate d.\nAnswer: -19, -3, 2\/123, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 0. Let h = -0.26 - -1.36. Let n = 1.1 - h. Which is the nearest to -2\/7?  (a) n  (b) m  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20224829249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 - l**2 + 6*l**2. Let d(h) = 3*h. Give r(d(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7332 = -492*m + 464*m + 1880. Solve 0 = 60*f - 13*f - m for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/59096 and -31\/4786776.\nAnswer: 4786776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of 3\/40*j**5 + 6*j + 0 - 1\/3*j**3 + 1\/168*j**7 + 1\/24*j**6 - 1\/12*j**4 + 0*j**2. Factor c(b).\nAnswer: b*(b - 1)*(b + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4797)\/(-156) + -40 + 10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 3 = -t, -3*t = 3*v - 4*v + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -4*x + 2, -x - 4*i + 8 = -0*x. Which is the closest to x?  (a) -1\/6  (b) -4\/5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -203*g**2 + 4877*g - 204. Calculate z(24).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 1:22 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -15*1796\nAnswer: -26940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/2 + (-3)\/18)*-3. Let p = 0 - 1. What is the nearest to p in j, 2\/17, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 151134.9406 to the nearest one thousand.\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -116*t**3 + t**2 - 2*t**2 + 11*t - 4*t - 6*t to u*t**3 + o*t**2 + q*t + m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7028*x + 383925 = 11441 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -9. Suppose -3*h + 66 = 3*t, 2*t + 54 = i*h - 40. Let j = h + -9. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11912 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 + 186*q + 2080.\nAnswer: 2*(q + 13)*(q + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 - 10*p - 4. Let u be j(-8). Solve -3*r + u = -0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uvv when three letters picked without replacement from pupvv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 228 + 93 = 0. Suppose 4 = q, 6*s - 5*s - 4*q - n = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1351)\/1158)\/((-56)\/(-348))?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139015 is divided by 513?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 67 + -180. Let r = 259 + b. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -306*y - 166 - 159 + 492*y**2 + 488*y**3 - 666*y - 157 + 474 = 0.\nAnswer: -2, -1\/122, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19775 - 17000. What is the highest common factor of 444 and d?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ofxdyodyqqfqqq. What is prob of picking 2 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1547)\/182 - (2 - (-30)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 0.1995896.\nAnswer: 0.7983584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30566 - 4706. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*n - 18 + 45 + 30 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 32 = n. Let a = 21 - 16. Suppose 0 = 2*o - 7*o - a*b - 10, -4*b = 16. Calculate the least common multiple of o and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1854 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 3*d**2 - 137*d - 20. List the prime factors of j(-44).\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -8929689?\nAnswer: 3571875.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 - 3*i + 2. Let m be q(5). Let x be 5\/2*m\/10. Find the second derivative of x*b**3 - 5*b - b + 3*b wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from uuuxryrukkruhru?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r**4 + r**4 - r**4 + (5 - r**3 - 5)*(2 + 2*r - 2) + 4*r**4 - 6*r**4 + 8*r**4 in the form x*r**2 + u*r**4 + n*r**3 + t + h*r and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1039033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 9:04 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a - 7333 + 26275 = 0. Suppose -22753 = -2*j + a. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -223744 + 11744. What is r rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*a**4 - 2*a**3 + 4769*a**2 - 5*a - 100073 wrt a?\nAnswer: -16*a**3 - 6*a**2 + 9538*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tiihitthtthtit. What is prob of picking 2 t?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/3)\/((-4)\/6*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13785 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33815 + -54024. Let v = y + 36854. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 19*h**2 + 35*h - 8. Let s be r(-16). Find the second derivative of -s*z**2 + 3690 + 3689 - 7379 + 175*z wrt z.\nAnswer: -400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17 (base 11) to base 3.\nAnswer: 200","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 {a: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 56*i = 52*i - 579, -4*t + 2358 = -2*i. What is the least common multiple of 30 and t?\nAnswer: 5910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 288070?\nAnswer: 2, 5, 28807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 2 = -3*b, -3*t + 218*b - 217*b = -19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*u**3 + 14*u - 89369*u**2 + 89369*u**2 + 8.\nAnswer: -6*u**3 + 14*u + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 - 18 = -15*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1196406.23 rounded to the nearest one thousand?\nAnswer: -1196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2348712 is divided by 782894.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1822108726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1127040 (base 10) to base 9.\nAnswer: 2107006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11704?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**3\/4 - 15*t**2\/2 + 96*t - 216.\nAnswer: -3*(t - 4)**2*(t + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7737 is divided by 5941.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -781\/3 + 261. Factor 2\/3*j + 4\/3 - d*j**2.\nAnswer: -2*(j - 2)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xiii when four letters picked without replacement from {x: 14, i: 5}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13694629 minus -12?\nAnswer: 13694641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -3*b - 175, 0*s = -s - 2*b + 22. Let i = 18 - s. What is the tens digit of i\/7 - -27*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 4*d**2 - 7*d - 12*d**2 - d**3 - 12 + 4. Let y be p(-7). Which is smaller: y or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 21*d**5\/5 + 22299*d**4\/5 - 1466634*d**3\/5 + 209064*d**2\/5 = 0.\nAnswer: -1124, 0, 1\/7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*r - 144 = -3*t, 5 + 5 = -0*r + 2*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 22 - 16. Suppose -5*m + 9 = -j. Suppose m + 4 = c. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1959.5682 milliseconds?\nAnswer: 0.0000226801875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 - (4 + 4 + -7). Suppose r + g*q + 3 = -0*r, -5*r - 3*q + 6 = 0. Is ((-884)\/78)\/(r\/(54\/(-4))) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2*(-5)\/15)\/10)\/(220\/275)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqyyyq. Give prob of picking 3 q and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -315 + 474. What is the remainder when t is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 14*w**2 - w + 19. Let d be b(14). Let s = 10 + -7. Put s, d, -2 in increasing order.\nAnswer: -2, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1376bb (base 12) in base 6?\nAnswer: 10540355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 - -52. Let x be (-2957)\/(-7) - (-16)\/v. Suppose -6*i = -3*i - x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 - 17. Solve 0 = 2*g - y*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 281*u**2 - 2032*u.\nAnswer: 562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/(-5))\/((-2)\/5). Suppose -2*s = 7*h - n*h - 72, 0 = -5*s - 3*h + 152. Let c be 21\/s*(-2)\/(-9). Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6834102 + -6834101.4000107. Let p = n + -0.6. What is p rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 3*d**2 - 8*d. Let c(u) = -u**2. What is 6*c(a) + j(a)?\nAnswer: -3*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + h + 4*f + 14914 = 0, -2*h - 3*f - 9943 = 0. What are the prime factors of (4\/5)\/((-7)\/(h\/4))?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-14706)\/10773 - (-8)\/7. Let o = 3 + 0. Put d, o, -0.1, 1\/7 in descending order.\nAnswer: o, 1\/7, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 157 divide 10897370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -2\/241, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 18 - -1a?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.65 - 24.15. Let w = 1557614347.49999893 - 1557614371. Let c = f - w. What is c rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) 0.072096  (c) -3\/4  (d) -0.5  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 4:30 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1431402 - -1?\nAnswer: 1431403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooeebooeeeoeo. Give prob of picking 1 e and 1 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 429.066 + -433.06586. Let m = 14 - 10. Let k = a + m. What is k rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) -203  (c) 14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.06  (b) -2  (c) 0.2  (d) -1\/6  (e) 3  (f) 0  (g) -1579\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 + -14. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-9)\/((-9)\/2) - (-11 - -1) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26753?\nAnswer: 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 91765*v**2 + 3*v + 262987 wrt v.\nAnswer: 183530*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7379 or 7349?\nAnswer: 7349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105099726.\nAnswer: 2, 3, 17516621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4273 or -4073?\nAnswer: -4273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/20)\/(9\/(-90))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1749735.57099994 - -1749689.571. Let h = r + 46. Round h to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 27\/(-315) - 2*2\/20. What is the closest to -1\/3 in 3\/5, 1\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3081 and 172275?\nAnswer: 176926425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -g**3 - g**2\/2 - 3*g - 3. Let j(n) = -1. Suppose 3*z - 18 = 5*i, 5*i + 19 - 4 = 0. Give z*u(q) - 3*j(q).\nAnswer: -3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**2 + 2*q**2 + q**2 + 1 + (2 - 2 + 2*q)*(q - 2*q + 3*q).\nAnswer: 6*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4110437099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 5*w + 4. Let c = 1.6 - 2. Let j = c - -0.3. Do j and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggyryvhvb. Give prob of sequence yvr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4*-39*(-4)\/3. Suppose 2*p + x - 227 = 207, -p - 5*x = -s. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.1, 4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.81 - 0.19. Suppose 5*h - 2 = 3. Is h less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + b + 4*b - 15, -4*h - 2*b + 30 = 0. Calculate the remainder when 38 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-11\/7))**(6\/7)*(p**(1\/2)*p**(1\/3)\/p)\/(p**5\/p*p**(-2\/13)) assuming p is positive.\nAnswer: p**(-20485\/3822)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/29)\/(p**(-26)\/p))\/((p\/p**(2\/31))\/p*p**(16\/7)*p*p))**(7\/5) assuming p is positive.\nAnswer: p**(28626\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 37679920\/2757 + -13667. Let o be (-11409)\/(-2)*1972\/1968498. Let y = o - z. Calculate the common denominator of y and -12\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -241 (base 5) to base 4\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 = 3*l + 5*o - 12, -o = 5*l - 32 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 70) + 14 + 26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 b(r) = 17*r**2 - 339*r + 16. Let w be b(20). Calculate the greatest common divisor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 11, 5, -3, -13, -25, -39?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 8*t + 1255. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -6*b**2 - b - 2. Let v(c) = -37*c**2 - 3*c - 76. Determine -v(w) + 6*z(w).\nAnswer: w**2 - 3*w + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 - -44. Solve -i + q = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 20*n + 390. Let k = -25 - n. Let m = 0 + 0. Solve 3*r + r + 4 = -k*z, 2*z = m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12.4 + 11.89. Let y = k + 0.11. Which is the smallest value?  (a) 5  (b) y  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 6 + 0 = 2*q, -5*q + 2*v = -13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffoffoor. Give prob of sequence oo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - ((sqrt(17) - (sqrt(17)*1 - sqrt(17))) + 5)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -387*n + 192*n + 197*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24692011937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 186720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(16\/42)\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-z - 1 + 1)*(1 - 3 + 5) - 4 - 5*z + 4)*(0*z - 10*z + 2*z).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, g: 8, x: 2, v: 2}. What is prob of picking 1 l and 2 g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -12 - 18 + 8*f + 5. What is the remainder when d(10) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.90418 - -1.52535. Round k to 3 decimal places.\nAnswer: 0.621","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 15a - -10c3?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -55.1 + 386.1. Let p = w + -340. Which is greater: 2\/3 or p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 735*j + 12931*j = 1079614 for j.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 0.0538817.\nAnswer: 0.01616451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -4*w - 60. Let m be r(0). Let q = m + 60. Suppose q = -o + 14 + 75. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 40 - 37. Solve -4*j + z*j = 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76793797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 15252\/(-124)*6\/18\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -153\/4 - -53\/2. Calculate the common denominator of 139\/6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/((-5)\/(-15) - (-4)\/6). Let t be 4\/18 + 32\/36*y. Suppose t*h - 141 = -3*h + n, -108 = -4*h + 2*n. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 534 is divided by 121?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wqq when three letters picked without replacement from {w: 3, a: 1, k: 1, m: 3, q: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**3 + n**3 - 4*n**3 + 3*n**3 - 5*n**2 + 12*n**2.\nAnswer: n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 3:27 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, r: 1, s: 1, z: 2, k: 2, h: 1}. What is prob of sequence rk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o**2. Let a(w) = -55*w**2 - 65*w + 65. Let n(s) = 5*s**2 + 6*s - 6. Let h(q) = -6*a(q) - 65*n(q). What is t(h(b))?\nAnswer: -75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1923*j**3 - 2*j**2 - 3842*j**3 - 447*j + 1917*j**3 to the form i*j**3 + r*j + w + s*j**2 and give r.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(380)\/(sqrt(40)\/sqrt(4)) - sqrt(38))\/(sqrt(350)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/66 - (2\/11 - 98\/8036).\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - 6*g**2 + 8*g - 21. Let b be k(6). Suppose b = -4*w + 19. Let s(j) = -6*j**3 + 2*j**2 + 1. Is s(w) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4  (b) -1574  (c) -1  (d) 62  (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 2 + 7 + 38*l)*(6*l + 6*l + 3*l + 2*l - 4*l + l + (3 - 1 + 0)*(l + 0*l - 2*l) + l - l - 2*l) in the form y*l + u*l**2 + a and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -218*b + 133*b + 341*b - 3086 + 337*b + 123*b wrt b.\nAnswer: 716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/6 of a year in months?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/6)\/(8\/(-216)). What is the greatest common factor of 63 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6041.0172 + 6041. Which is the closest to -1\/2?  (a) -1  (b) y  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 - -19. Calculate the remainder when 9 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 27338.6 and 0.1977?\nAnswer: 5404.84122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(425) + -2 + sqrt(17) + -3.\nAnswer: -5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0248941 rounded to 4 dps?\nAnswer: -0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.38 - 7.38. Which is the second biggest value?  (a) g  (b) 2  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -72209098+70908\nAnswer: -72138190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 823033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ococ when four letters picked without replacement from {c: 5, o: 15}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -8457*k + 59215. What is m(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-108) + 16\/(-36)*(-44)\/(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q + 45. Let b be t(-19). Let o be (-8)\/b - (-260)\/(-273). What is the nearest to 0.8 in -2, -23, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3\/64  (b) -0.094  (c) 1\/9  (d) -0.4  (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 110437 in decreasing order.\nAnswer: 110437, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 118563 and 948504?\nAnswer: 948504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11113485 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence boo when three letters picked without replacement from obnbnoob?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*x - 68*x + 20*x + 22*x - 22*x + 24*x + 7*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1500 is divided by 74.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 7*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(114)*-2 + sqrt(114))\/(sqrt(24)\/sqrt(4)*6))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 833304 divided by 40?\nAnswer: 104163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = -9180*m + 9181*m + 25, -11*m + 20 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -125111964 divided by 6\nAnswer: -20851994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/1 + (-600)\/60 - -4. Solve 0 = -2*r + 2*g + 97 - 85, g = -s*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 12.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 - 35*d**2 + 25*d + 318. Calculate o(34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 813 is divided by 167?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 PM and 4:49 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2124 and 27612.\nAnswer: 27612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2358 - -48\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1753856 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 - 47*w**2 + 2*w - 146. Calculate t(47).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**2 - 2*g + 2*g)*(g**2 + 4*g**2 - 6*g**2) + 2*g**4 + 4*g**4 - 5*g**4 + ((-1 + 0 + 0)*(g + 4*g - 4*g) + 4 - 5*g - 4)*(1365 - 42*g**3 - 1365).\nAnswer: 254*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573) + -4 + 4 - (2 + sqrt(1573)*-2 + sqrt(1573))) + 2)**2 + -5.\nAnswer: 6287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -127*n + 1281. Let c be g(10). Sort 1, -18, c.\nAnswer: -18, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**5\/9 + 2*q**4\/9 - 32*q**3\/3 + 70*q**2\/9 + 431*q\/9 + 88\/3 = 0.\nAnswer: -11, -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33.1 - 30.1. What is the closest to 1 in t, -5, -12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5411?\nAnswer: 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107275095?\nAnswer: 3, 5, 2383891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(-3*sqrt(187) + sqrt(187) + sqrt(187)))\/(sqrt(11)*3*-2 - sqrt(11)))**2.\nAnswer: 272\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 462 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -140*k**2 - 32 + 8 - 2*k - 3 wrt k?\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - 6*x - 15. Let y be f(-9). Let l = 187 - y. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 2:06 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -51, -114, -175, -234, -291, -346?\n\"Answer: k**2 - 66*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = 2*t + 5*z, -t + 21 = -0*t - 4*z. Suppose 2*c + 3*x - 183 = 0, 0 = 3*x - 13 - 2. Let q = c - t. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-26 - 1) + (-12)\/6. Let i = t - -41. 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: List the prime factors of 11492588.\nAnswer: 2, 101, 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18.86 + -19. Let q = -0.34 - y. Let x = 0.56 + -0.06. Which is the third biggest value?  (a) -4  (b) x  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 - 3*n**2 + n**2)*(-3*n - 4*n + 4*n) + 2*n**3 + 3*n**3 - 3*n**3.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9009229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -22113, -4, -2\/43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 260575543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 441 = 32*i - 11*i. Calculate the highest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.5839546 + -1.62551. Round b to four dps.\nAnswer: -0.0416","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 188*x**3 + 2*x - 383*x**3 + 197*x**3 - 2*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 4*n + 2*o, -7*n = -4*n + 3*o - 24. Solve 0 = 2*l + 2*u + n, -2*l + 19 = -6*l + u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22156131 and 113508.\nAnswer: 797620716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**2\/3 - 83915*k\/3 + 2600404\/3 = 0.\nAnswer: 31, 83884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 - 9*t**2 - 6*t - 8. Let z be h(-8). Let n = -9 - z. Suppose -3*u - 174 + 489 = 0. Calculate the highest common factor of n and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6247 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 5, v: 8, c: 2, x: 4}. Give prob of picking 1 c, 2 b, and 1 v.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-18)\/(-5))\/(1\/(-10)). Let w = -15 - l. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 2*f**2 + 2*f - 1. Let o be x(-2). Is 25 a factor of o\/(-2)*(-27 + 41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 425507*o**2 - 22*o**3 - 212750*o**2 - 212759*o**2.\nAnswer: -22*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -15\/2. Let r = b + 0. Let w**4 - 1\/2*w - w**2 + r*w**5 + 0 + 0*w**3 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -9*g**3 + 18*g**2 + 7*g - 5. Let o(q) = -5*q**3 + 9*q**2 + 3*q - 3. Let x(z) = -6*i(z) + 11*o(z). What is the units digit of x(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/420*14)\/((-2)\/54*1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*d = 8*d - 243*d - 33672 + 41256 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -347404 + 345229 = -75*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2753745 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -5, 2, -1, -141 in decreasing order.\nAnswer: 4, 2, 0, -1, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kklklukulukkklku. Give prob of picking 3 l.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 + 14*x + 12. Let w be b(14). Let m = -10 + w. What is the units digit of (1 + m + -15)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/10 - (-1152)\/(-60). Let h = b + 58. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*f**3 + 7884*f**2 - 3*f**3 + 0*f**3 - 7933*f**2 to j*f + z*f**2 + m*f**3 + g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 233157711 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6211\/13776 - 1\/656. Let s be ((-33)\/15)\/((-6)\/(-30)). What is the common denominator of ((-22)\/6 + 4\/1)*s and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 422 minus 62903982.85?\nAnswer: -62903560.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*z - 133 - 23. Solve z*q - 2*q = -2*o + 14, -q + 3*o = 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -209077260 divided by -3815?\nAnswer: 54804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2\/7 - 26067*p\/7 - 156294\/7.\nAnswer: -3*(p + 6)*(p + 8683)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 358408*x**2 - 78*x + 253 wrt x?\nAnswer: 716816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1089662, 1089684, 1089706, 1089728?\nAnswer: 1089750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 25 - 15 + 3565317*b**3.\nAnswer: 3565317*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 77877 and -2.\nAnswer: -155754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -21, -4, -3, -1 in decreasing order.\nAnswer: 3, -1, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23919732 is divided by 204442.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 2*t - 12. What is the lowest common multiple of 14 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + g = -1, -15*m + 12*m = -g - 1. Which is the closest to m?  (a) 0.2  (b) 3.5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 636 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - 9) + 9 - 7. Put -0.5, q, 2\/9, -4, -2 in ascending order.\nAnswer: q, -4, -2, -0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/(-10))\/((-24)\/1770)*4. Let l = -52 - w. Suppose 3*r = -l + 19. Solve 0*s = r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(612) - (sqrt(612) + -1)**2)*4 + 0)*5.\nAnswer: -73560 + 2160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1064, -2123, -3182, -4235, -5276?\n\"Answer: q**3 - 6*q**2 - 1048*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2302 + 1182 + 14*x**3 + 1120.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w + 5*x - 23, -x = 3*w - 2*x + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 1:27 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-72)\/48*5\/10)\/((-2)\/(-24))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 3545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 12071950 divided by -43898\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 914853810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 6\/7, 2, 3\/4, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -256 != 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -26\/5?  (a) -5  (b) -1  (c) 12  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {l: 5, k: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 136873869 to the power of 1\/2, to the nearest integer?\nAnswer: 11699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12220 + -2002202200?\nAnswer: -2002222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 312 - 143. Suppose p*y + 1270 = 174*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 494*t**2 + 3*t + 4. Let g(q) = -521*q**2 - 4*q - 6. Determine 3*g(j) + 4*m(j).\nAnswer: 413*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 2:18 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3*(sqrt(343) + sqrt(343) + 1 - sqrt(343))*3*4)**2*-5 + -1.\nAnswer: -2229121 - 90720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 38 + -18. Calculate the least common multiple of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {g: 4, j: 3, r: 7, y: 4, q: 1}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 78 divided by 26\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41*i**3*l*x**3 + 4*i**3*x**3 - 2*i**3*x**2 + 3*i**2*l*x + i*l*x**3 - 32*i*x**2 wrt x.\nAnswer: 246*i**3*l + 24*i**3 + 6*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p - 13. Let g be a(-9). Let h be g\/(-5 - (-2 - 1)). Factor -2*o**4 - 3 + h*o**3 + 10*o**3 + 22*o - 2*o - 3 - 24*o**2.\nAnswer: -2*(o - 3)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -31*w - 26. Suppose -6*b - 19 - 17 = 0. Let h be q(b). Calculate the lowest common multiple of (-3)\/2*h\/(-15) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of -m**5\/4 - 565*m**4\/4 + 4*m + 350. Factor c(s).\nAnswer: -5*s**2*(s + 339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in one sixteenth of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1355880479 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4396 + 955. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of 7\/60*a**5 + 0*a + 4\/3*a**3 + 0 - 1\/120*a**6 + a**2 - 3\/8*a**4. Calculate p(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9061?\nAnswer: 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 - 5*j - 8. Let i be b(7). List the prime factors of 210*((-21)\/i - -4) + 0.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -741, -20495.\nAnswer: -20495, -741, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, p: 5, u: 2, n: 2, y: 1}. Give prob of sequence un.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20435*v**6 - 28*v**5 - v**3 - 4*v**2 + 4*v - 2557 wrt v?\nAnswer: 2452200*v**3 - 1680*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 27 = 3*z, -5*z + 2*i + 23 = 47 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 869 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -32, 160, 0.2, 13\/826?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10525099.\nAnswer: 13, 23, 35201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-320)*-24*-1*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(891) + (sqrt(891) - sqrt(891)*-2*-3)**2 + 4.\nAnswer: 9*sqrt(11) + 22284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*b*h*n**4 + 2*b*h*n**2 + 4*b*h - 4*b*n - 5*b + 5*n**4 wrt n.\nAnswer: -48*b*h*n**2 + 4*b*h + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-2 + -4 - -12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -7*s**3\/6 - 76*s. Let d(z) = 7*z. Calculate f(d(l)).\nAnswer: -49*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 6554742398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rdrs when four letters picked without replacement from {e: 13, d: 3, k: 1, r: 2, s: 1}.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 14) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 1 - (-4 - (-14 + 2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (84\/20 - 3) + -1. Let q = 0 - 0. Let u be 1\/(-2) - 1\/4. What is the closest to q in 5, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l, 1 k, and 1 n when four letters picked without replacement from {l: 4, k: 10, n: 1, f: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10169720329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -246*n**2 + 5 + 5 - 68 + 380*n**2 - 182 wrt n?\nAnswer: 268*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32679309983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 20 = -3*n. Let o = n + 10. Let l(h) = -o*h - h**3 - 3 - 6*h**2 + h**2 + 3. Determine l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9939, -79555, -268503, -636447, -1243051?\nAnswer: -2147979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -393 = -5*a + j, 6*a - 5*a = -3*j + 101. Calculate the highest common factor of a and 1120.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2213*v - 102. Let q(y) = 553*y - 23. Give 2*l(c) - 9*q(c).\nAnswer: -551*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 38. Let v(d) = -14*d + 664. Calculate v(c) - 12*x(c).\nAnswer: -14*c + 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (-154)\/(-14) + 558520\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 660460 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-6)\/s)\/(((s**(3\/4)\/s)\/s)\/s)*(s*s**(-21)*s)\/(s\/(s**(-2)*s)) assuming s is positive.\nAnswer: s**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, b: 1, a: 2, x: 7, o: 7}. What is prob of picking 1 o and 1 x?\nAnswer: 49\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*u**3 - 3*u**3 - u**3)*(-u + 3*u + 0*u)*(16 + 15 - 16) in the form b*u**2 + p*u**4 + k + a*u**3 + x*u and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 152585 and 10.\nAnswer: 305170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 78*n + 15 - 11 - 4 to u + t*n and give t.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/5)\/((-1)\/(-15)). Let m be (-6)\/2 + u + -2. Let b(v) = -v**2 - 2*v + 1. Determine b(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/11682 and 23\/10384.\nAnswer: 93456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78623085.\nAnswer: 3, 5, 23, 227893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -3*k**3 - 8*k**2 - 2*k + 23. What is the units digit of u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 25*j**2 + 19*j - 71. Let f be q(4). Let n = f - 1983\/5. Factor -n*p**2 + 12\/5 - 6*p.\nAnswer: -6*(p + 1)*(7*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 763*x**4 + 370*x - 3.\nAnswer: 9156*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y - 6*y + 2*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/11*p**3 + 50\/11*p**2 + 0*p.\nAnswer: -2*p**2*(p - 25)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 637560*h**2 + 275*h + 825. Let a(u) = -6930*u**2 - 3*u - 9. Give 275*a(n) + 3*c(n).\nAnswer: 6930*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u - 9. Let t be p(11). Determine i so that 2*i**4 + i**2 - 3*i**2 - 2*i**2 - t*i**3 + 0*i**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(42)\/(sqrt(10)\/(2*sqrt(5) + sqrt(5))))\/((-2*sqrt(288))\/sqrt(6)))**2*1.\nAnswer: 63\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20311 - -121333121?\nAnswer: 121312210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2904173851?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - -86. What is the remainder when 3\/((-36)\/c)*-3 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 0.393, 0.6, 3\/2 in ascending order.\nAnswer: 0.393, 0.6, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -221 + 229 + 90*f**2 + 8*f**2 - 56*f.\nAnswer: 2*(7*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1755, 1746, 1735, 1722?\nAnswer: 1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, -45, -68?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 + 10*j + 12. Let s be w(-9). Suppose 5*g - 2 = s. Let n be (-3)\/(3\/4)*-2. Calculate the highest common factor of n and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12320311 (base 6) to base 16.\nAnswer: -617b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 11, 0.2, 6, -11\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 12. Suppose -5*s = -f, -2*h = -h + 2*s - 6. Put 5, -0.2, h in descending order.\nAnswer: 5, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.069 - -0.042. Let v = -199.02608 - -199. Let m = s - v. Round m to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53 - -220. Suppose 4*l + 3*y = 682, -2*y - x = -l - y. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j**2 + 24*j - 12*j**2 - 5*j**2 + 3*j**2 + 32. Let d be u(-17). What is d rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o + 0*o**2 + 0*o**2 + 11*o**3 + o**2 - 10*o**3 + 55. Let r be (0\/2)\/(2 - 0). Is y(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 13\/2  (b) 3  (c) -16.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 + 8. Suppose q*s = 34*s + 3115. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 a factor of 269223492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - l + 37543 + 25322 = 0, -31450 = -2*k + 2*l. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 417 - -171. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2151405 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -166474.77 rounded to the nearest one hundred?\nAnswer: -166500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 + 14*r - 19*r - 59 + 6*r + 27*r. Does 26 divide k(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p - p - 72*p**2 + 80*p**2. Let j(s) = -5*s - 6. Let r(v) = -121*v - 143. Let h(m) = -143*j(m) + 6*r(m). Give b(h(u)).\nAnswer: 968*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwxwxwwwwffwww. Give prob of picking 4 w.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-157)\/(-471))\/((-19)\/171)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q**3 - q**3 - 6*q**4 - 2*q**3 - 5*q**2 - 9. Let m(u) = -3*u**4 - 3*u**3 - 3*u**2 - 5. Let c(w) = -3*f(w) + 5*m(w). Differentiate c(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15227, 15230, 15235, 15242, 15251?\nAnswer: 15262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -4831 in ascending order.\nAnswer: -4831, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of p**6\/90 - p**5\/45 - p**4\/18 + 2*p**3\/9 + 32*p**2 - 11. Let l(i) be the second derivative of a(i). Factor l(r).\nAnswer: 4*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 458298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l**2 + 5*l + 6. Calculate h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-1 - ((6 - 3) + -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of -29*c**3\/3 + 6*c. Let a be o(-1). Suppose j + s = 4*j - 174, j = -4*s + a. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of (-1*8)\/2 + 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3630028 + 3?\nAnswer: -3630025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1152 + 164)\/(-94) + (0 - (-1010)\/72).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -821, -823, -825, -827?\n\"Answer: -2*b - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4718843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(2\/3))\/v**(-1\/2))**(-19)\/(v**5*v\/v**3*(v\/v**(-4))\/(v*v**0)) assuming v is positive.\nAnswer: v**(-289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 at most 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 303 - -133222?\nAnswer: 134030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 490902 is divided by 525?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23\/15 - -1\/5. Which is the biggest value?  (a) -6  (b) 3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 44 + 14?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 AM and 11:44 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -16. Let w = 1 - g. Let z = 30319 + -30319.3. Sort 0.4, w, z.\nAnswer: w, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41 - 16 - 8 - (0 - (2 + -3))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-17)\/z*z*z*z**13)\/(z**(-18)\/(z**(1\/4)*z)) assuming z is positive.\nAnswer: z**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -271  (b) -0.07  (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.5 + -4. Let n = -1\/236 + 1421\/1180. What is the biggest value in 3\/2, s, n?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15379050 divided by -629\nAnswer: 24450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - k = -4, 2*k + 0*k - 9 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 9*u + 2. Let z(b) = b**3 + 5*b**2 - 7*b - 4. Let k = 48 + -54. Let g be z(k). Give n(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*d - 42000 = 44*d. Round d to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 7 = -y, 13 = 4*y - 26*f + 27*f. Solve -2*z = -4*s + 30, -3*z + y*s = s + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20.79 - 1130108136.\nAnswer: -1130108156.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**4 + 1. Suppose 0 = -m + g, 4*m - 5*g = -3 + 2. Let q(h) = 8*h**4 + 3*h + 1. Let l(a) = m*v(a) - q(a). Find the second derivative of l(c) wrt c.\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 782939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1778\/21)\/((-4)\/(-6)). Let t = c - 261\/2. Let x be 816\/112 + (-5 - 2). Which is greater: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5385 - 5169.4. Round y to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 5*j**2 + 21*j - 19. Let t(b) = -b**3 + 5*b + 4. Let z be t(3). Let f be n(z). Solve -6*o = f + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of 8*v**3 + 0*v**2 + 32 + 31\/2*v**4 + 0*v. Find the third derivative of x(t) wrt t.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1485557633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-1\/38)*h**25\/h*((h*h\/(h**(2\/7)*h))\/h)\/h**24 assuming h is positive.\nAnswer: h**(-83\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/264 and (0 - -1) + (-8855)\/7986?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of 545*y**4\/4 + 101*y**3 - 193. Find the third derivative of d(s) wrt s.\nAnswer: 3270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -622114756*u**3 - 3983*u**2 - 81093 wrt u.\nAnswer: -3732688536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/1857 and -151\/306?\nAnswer: 189414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**3 + 20*z**2 + 15. What is q(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -267, -1411, -2557, -3705, -4855?\n\"Answer: -x**2 - 1141*x + 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q**2 - 6706*q - 22420 = 0. Calculate q.\nAnswer: -10\/3, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + -0.5. What is the nearest to 2\/5 in 4, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2392)\/(-32))\/(19665\/6840)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 27348 = 3*o, -28*g = -5*o - 26*g + 45564. What are the prime factors of o?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2736) - ((sqrt(2736) - (sqrt(2736) + (sqrt(2736) + 0 - sqrt(2736) - sqrt(2736)))) + sqrt(2736))) + -5 + 1)**2*-5.\nAnswer: -13760 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4*a + 15 = a, j - 2*a = -5. Let n = 1 - j. Is 354\/n + (-16)\/40 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, g: 1, x: 1, n: 12, k: 1}. What is prob of sequence kin?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 - 3*t**2 - t + 1. Let b(v) = -3*v - 12. Let i(x) = 16*x + 60. Let j(z) = 11*b(z) + 2*i(z). Let u be j(-9). Calculate h(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 3) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2 + 772 - (-17 + 25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of -z**4\/4 + 4*z**3\/3 - 5*z**2\/2 + 4*z + 1. Let c be v(3). Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -1\/197, -0.5, -0.16, 1\/3, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 5*r**2 - 10*r - 22. Let n(p) = -p**2 - p + 2. Let x(i) = 4*n(i) + t(i). Calculate x(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 4*m - 153, -102 = 4*n - 6*n + m. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(10 + -6 + (-22)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 + (-7)\/2)*-2. Let d(t) = -t**2 + 1 + 4*t**3 - 3*t**3 - t**2 + 3 - 4*t. What is d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -43 + 43. Let i be (3 - (1 - u)) + 1. Find the third derivative of 24*a**2 + 6*a**3 - a**i - 8*a**2 - 4*a**3 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 549*n**3 - 5*n**2 - 249*n. Let v(f) = -1646*f**3 + 13*f**2 + 745*f. Let h(s) = 8*i(s) + 3*v(s). What is the third derivative of h(r) wrt r?\nAnswer: -3276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 331, 721, 1209, 1843, 2671, 3741, 5101, 6799?\n\"Answer: 8*h**3 + h**2 + 331*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -14*y**2 + 10*y - 10. Let w be (1 - 5) + 6 + (-5 - -9) + -5. Give l(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**2\/23 + 6040*w\/23 + 91050\/23 = 0.\nAnswer: -15, 3035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -78 and -82 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 2\/7*x**4 + 18\/7*x**3 - 18\/7*x - 4 + 26\/7*x**2 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 152530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2000*c**4 - c**3 + 58267*c**2 wrt c.\nAnswer: -48000*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -150 and 0.298?\nAnswer: -44.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-3\/26)*f)\/f**(-2\/27))\/(f**(4\/5))**(4\/25))**(-1\/5) assuming f is positive.\nAnswer: f**(-72893\/438750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 158 and 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/42 and -31\/7095768.\nAnswer: 49670376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - l + 0)*(59 + 4*l + 54 - 114).\nAnswer: -4*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3774 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5.2 - -26872244959.\nAnswer: 26872244953.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228*b + 575 + 1651 = -1194 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*b = 30*b - 4*u - 17, -4*b - 4*u - 12 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c**3 - 3*c**3 + 2*c**4 + c**3 + (-4*c + 0*c + 3*c)*(-2*c**3 + 0*c**3 - c**3).\nAnswer: 5*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 - u - 1. Let z(m) = -2*m**2 - m - 2. Determine -2*b(g) + 2*z(g).\nAnswer: -6*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -0.4  (c) 2\/9  (d) 8\/9  (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1108, -1546, -1316, -418, 1148, 3382, 6284?\nAnswer: 9854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 47658 and 86668?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -199 + 1261. What are the prime factors of k?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t**3*t))**6)**(1\/32)\/(t**(-2)*t\/t**(1\/3)*((t*t**0*t*t*t)\/t)**32) assuming t is positive.\nAnswer: t**(-4571\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjppcjo. Give prob of picking 1 p, 1 c, and 1 j.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-186)\/(-155))\/(16\/125*(-50)\/10).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*(-4)\/(-8)*(-4)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jeeeeejeeeeeje. Give prob of sequence je.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/5 - 7*v**2\/5 - 4*v\/5 + 12\/5.\nAnswer: -(v - 1)*(v + 2)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 - 37 = -4*k. Let q = -16 + k. Solve q*p = 27 - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -1962*d - 10124. Calculate r(-5).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 332327176 divided by -2242?\nAnswer: -148228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -5, 0.5, 0.17, -2, -60, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -399*r**5\/5 + r**2\/2 + 21*r - 3492. Find the second derivative of x(z) wrt z.\nAnswer: -4788*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -10*z**3\/3 + 7*z**2\/2 - 2*z - 10. What is the units digit of v(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 6\/47, -2\/11, 2, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 18771, 46426, 92509, 157014, 239935, 341266, 461001?\n\"Answer: -n**3 + 9220*n**2 + 2*n + 9550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5961717*a**2 + 2841962*a?\nAnswer: 11923434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 686 is divided by 165.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9355427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198877 is divided by 1363?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/(-2))\/(2\/(-4)). Put -5, -1, v in decreasing order.\nAnswer: v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12381857\/25785 + -20\/5157. Let d = v - -26291\/55. Calculate the common denominator of d and -43\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -134 - -196. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 19\/3 + (-7)\/21. Which is smaller: 7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-115)\/(-10))\/23*9*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 + 16 = u. Calculate the remainder when u is divided by 38.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 13 = 5. Which is the smallest value?  (a) 5\/2  (b) 0.3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/((168\/(-91))\/12*-5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/((32\/12)\/4). Solve -2*t = x - 2 + 9, g*t = -5*x - 28 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((o*o**(-5))\/o)\/o)\/o)\/o*o**(2\/9))**(-49)\/((o**(1\/4))**(-26)\/((o**1*o*o)\/o*o*o\/(o*o\/o**1)*o)) assuming o is positive.\nAnswer: o**(7049\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 15078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -4*g - 73, 3*g = -27*j + 32*j - 7*g - 145 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 184240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236 is divided by 234.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -91.02 + 0.02. Let w = 136 + l. Let j = 44.9851 - w. What is j rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -86 - (4 - (-5 + 15) - (12 + -39))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3744\/90)\/(-26)*5\/(-2). Solve z - 9 = -f*p - 6, -25 = 3*z - 5*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5156233349?\nAnswer: 41, 125761789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/6 + 875\/1250.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 5*v + 0*v - 2*v. Let r(o) = 26*o - 10*o - 13*o. What is g(r(x))?\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 131737 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41686 is divided by 125?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22*b**4 + 128283*b**2 + 27440263*b.\nAnswer: 264*b**2 + 256566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of s**5\/60 + 5*s**4\/24 - s**3\/6 + 2*s**2. What is y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 101 + -56. Calculate the highest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 - 4 = -c + 4*t, -4*c = -5*t + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 454773?\nAnswer: 3, 11, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 1 = -2*r. Solve 2*i - 5 = i + x, -4*i - 2*x + r = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 8:56 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/3 + 140570*j\/3 - 93716.\nAnswer: 2*(j - 2)*(j + 70287)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -p**2 - 1. Let i(b) be the first derivative of -5*b**2\/2 - 1. Determine t(i(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, a: 2, k: 1, y: 1}. Give prob of sequence nnky.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 829*c - 276*c**4 - 774*c - 1861*c - 250*c**4 wrt c?\nAnswer: -6312*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1158?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*s**4 - 2*s**3 - 3*s**2 - 327693*s + 478564382.\nAnswer: 8*s**3 - 6*s**2 - 6*s - 327693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*c**2 + 14*c - 31*c**2 - 33*c**2 - 6*c**2.\nAnswer: -76*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000013558273973 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1277373, 2554748, 3832123?\n\"Answer: 1277375*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3466254042 + -1.\nAnswer: 3466254041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2711 - 44*a**2 + 2711 + (4 + 0 - 2)*(1 - 1 + 2*a**2) + 0*a + a**2 + 0*a + 5*a**2 - 3*a**2 + 2*a + a**2 to d*a**2 + w*a + j and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -2*b - 4*k, -7*k = -3*k - 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*z**2 - 18*z**2 + 24*z**2 + 16*z**2.\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -266087*k**2 - 401021.\nAnswer: -532174*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 3:50 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2 and -147.13.\nAnswer: -145.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*u**2 + 3262 - 179*u**3 + 7*u**2 - 6518 + 3256.\nAnswer: -179*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40538*u**2 + 7066*u**2 - 47550*u**2.\nAnswer: -81022*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - 9*v + 7. Suppose 4*r - 25 - 7 = 0. Let z be p(r). Let f be (-6)\/(-2) + (-4 - -4) - z. Solve 0*h - 20 = f*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ewccewecwwcwewww. Give prob of sequence ww.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22*y**2*z + 22*y**2 + 5*y*z - 127*z wrt y.\nAnswer: 44*z + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.011364 to four decimal places.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x. Let n(h) = -4*h**2 + h - 1. Let k(l) = 5*l**2 - 3*l + 2. Let s(m) = 2*k(m) + 3*n(m). What is s(t) - 4*z(t)?\nAnswer: -2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 218  (b) 2\/3  (c) -0.4  (d) 0.3  (e) 2\/9  (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32.55945 litres to millilitres.\nAnswer: 32559.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((-1*sqrt(19) - sqrt(19))*-3 - (sqrt(19) - (5 + sqrt(684)))) + -4)**2.\nAnswer: 110*sqrt(19) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/8 in -2\/11, -26, -0.2, -1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {j: 4, l: 12, a: 1, u: 2}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/2)\/(-2)*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -1 - (-10 - -12)) + (-57 - -60).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**2 + 2*q**2 - q**3)*(0 - 3*q**2 + 0) + 10*q**5 + 10*q**5 - 8*q**5 + (q**3 - q**3 - q**4)*(-4 + 4 - 2*q) - 2*q**5 - 4*q**5 + 5*q**5.\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 291 = -307. Let z(v) = -v**2 - 2*v**2 + 9*v**2 - 8*v - 2 + v**3 + 0*v**2. Is z(k) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 101*f**2 - 402*f - 10. Let b be k(4). What is the nearest to b in -4, -3\/4, 2\/565?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 1)*(1 + 1). Suppose -4*m - k = j*k + 4, 2*m - 3*k - 16 = 0. Let o(b) = -6 - 50*b + 50*b + b**m. Calculate o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the third derivative of 3*b**8\/28 + 13*b**4\/12 + 23*b**2. Find the second derivative of p(f) wrt f.\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(75) - -5*(sqrt(75) + -2)) + 2*3*sqrt(75) - ((0 + sqrt(75) + 5)*-2 + -2))*-6)**2.\nAnswer: 10080*sqrt(3) + 529344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1325 and 247227775?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*l - 3*l + 3 + 4*l to f*l + c and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-1245)\/(-9)*((-9306)\/(-1175))\/66?\nAnswer: 83\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -233, -646, -1227, -1976?\nAnswer: -2893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-4)\/(-8))\/(22062623\/(-1297802) - -17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*b + b - 18*b as p + s*b and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 6*f**2 + 20*f - 27. What is a(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 4347378211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 111721*k**6 - 6*k**5 - 2*k**2 + 3*k - 269285.\nAnswer: 13406520*k**3 - 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 24\/(28\/(-12)*(-6)\/7). Let g be 265\/(-159)*w\/10. Let k(v) = 11*v - 2. Let i(s) = 5*s - 1. Give g*k(o) + 5*i(o).\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 2*r**2 + 2*r - 3*r**2 - 3*r**2 + 19 to l*r**2 + t + w*r and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 4*t**3 - 16*t**2 + 2*t. Let m(l) = -3*l**3 + 15*l**2 - 2*l. Let n(c) = 4*i(c) + 5*m(c). What is the second derivative of n(p) wrt p?\nAnswer: 6*p + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -5, -1, -106 in decreasing order.\nAnswer: 5, 3, -1, -5, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 880 + -1104. Let t = y - -229. Solve s - t*q + 5 = -2*s, 5*q = -3*s + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a - 56 = 879. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3*h = -91, 7*z - 309 = 3*z + h. What is the remainder when -7 + 3 + -3 + z is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 14, -1, 5, 337 in descending order.\nAnswer: 337, 14, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120913?\nAnswer: 13, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f**2 + 106746305*f - 106746305*f.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*y - 5*y - y + (-y + 2 - 2)*(-2 - 1 + 1) - 3*y + 20*y + 7*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -6*c**2 - 15*c + 3. Let u(f) = 5*f**2 + 16*f - 4. Let h(j) = 4*q(j) + 3*u(j). What is the second derivative of h(w) wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 22 = -q, -h - 1 = -0*q + 2*q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 6336145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -48122 divided by 3?\nAnswer: -48122\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t + 2. Let y be x(3). Let v(o) be the second derivative of o**5\/20 + o**4\/3 - o**3\/6 + o**2 + 542*o. What is v(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -k + 13 + 42, -4*r = -5*k + 338. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/((-80)\/(-12)))\/((-15)\/(-5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 86 + -85.97. Which is the nearest to 0.5?  (a) h  (b) 1\/2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 5*q - 125, -41 = -m - 0*m - 2*q. Let s be 4\/6 - m\/(-15). Solve -7*b + 20 = -s*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3244, -5435, -7626, -9817, -12008?\nAnswer: -14199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65025 is divided by 1049?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of h**5\/60 - h**4\/4 + h**3\/2 + 19*h**2. Let c be u(7). What is the second derivative of c*f + 0*f**3 + 11*f - 10*f**3 wrt f?\nAnswer: -60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 979.505 micrometers?\nAnswer: 0.979505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*z + 9 = -2*o, -o - 4 = z. Let f = o + 2. Sort f, -4, -1.\nAnswer: f, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 - 4*h**2 + h + 4. Let u = 108 + -104. Determine w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38664063829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2410044799.4094 - -1.4.\nAnswer: -2410044798.0094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 g when three letters picked without replacement from {g: 2, a: 1, f: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*t**2 - 2*t**2 - t**2)*(t - t + t**2 + (-3*t - 10 + 10)*(t - 2*t + 2*t)) to the form b*t**4 + z*t**2 + m*t + q*t**3 + o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (26\/6 - 1 - 4)*-39. Solve -23*w + 9 = -i*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/9 or -138?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31 - 15. Suppose j = 3*d - 2*v, d - 2*v - 12 = 2*v. What are the prime factors of 45\/d + 1\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 223 - 224. Let j(t) = 518*t**2 + 9*t. List the prime factors of j(c).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -9*d + 4*q, -4*q = 5*d - 2*d + 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of 0*h**7 + 1\/3*h**4 + 0*h**3 + 7*h**2 - 1\/84*h**8 + 0*h**6 + 0*h**5 + 0*h + 0. What is the second derivative of l(u) wrt u?\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.808191nm to millimeters.\nAnswer: 0.000007808191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*k + 1914 = -k. Calculate the remainder when k is divided by 119\/42 + (-2)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**2 + 76*d.\nAnswer: -4*d*(d - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 137*r - 137*r - 25*r**2 - 6 - 7*r**2 + 10.\nAnswer: -32*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) + -3)*3*-1 + 2*sqrt(50)\/(sqrt(10) - sqrt(360)) + 4)**2.\nAnswer: -2002*sqrt(5)\/5 + 6774\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -38 - (-68 + 75 + -126).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-63)\/(7371\/(-18)))*2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1372 and 361522.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (5 + -1 - (2 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 1 + 0 - (-69 - (22 + -33))) + 0.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 5*w**3 - w**2 + 3*w - 9. Let z be i(3). Calculate the greatest common divisor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**7*i*(i*i**(-3)*i*i)\/i)\/((i*i**(-3))\/(i**(-6)\/i)) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -s - 14. Let o = s + 52. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 0.103  (b) -5  (c) 3\/8  (d) 3  (e) -4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 4*z - 40. Let i(k) = k**3 + 7*k**2 + 4*k - 7. Let w be i(-6). Solve z = -3*r + 5*c, 4*c + 0*c = -w*r + 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -a**4\/12 - a**3\/9 + 1. Suppose j(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 65638\/61 - 1076. Let f = p - 65\/122. Which is the third biggest value?  (a) f  (b) -2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1871327, 3, -5, 4 in descending order.\nAnswer: 4, 3, -5, -1871327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*h + 17 = -8*h. Suppose -u = u + w + 20, -u - 3*w - 20 = 0. Let q(d) = -d**3 - 8*d**2 - d - 1. Let t be q(u). Solve 2*m + h = -t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23717520 divided by 494115\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-42)\/(-36) - ((-9)\/(-16) - 178\/2848). Let -616*b - 1052\/3*b**2 - j*b**4 - 88\/3*b**3 - 294 = 0. Calculate b.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1448\/(-2016)*408\/(-165). Let o = 2\/1155 + f. Let 4\/9*d**4 - o*d**3 + 16\/9*d - 16\/9 + 4\/3*d**2 = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x - x + x + (-2*x + 0*x + x)*(3 - 2 - 2) - 6*x + 0*x + 3*x - 56 - 31*x + 32*x + 6*x.\nAnswer: 2*x - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of -j**4\/8 - 2*j**3 + j**2. What is the units digit of n(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + 4 + -1 - -4) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sess when four letters picked without replacement from {e: 12, l: 2, s: 3}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25043 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 186901720 and 25613?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22705 and 6175?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 8*u + 3*u + 7*u + 8*u - 5 - 27*u. Suppose 5*y - 4*f + 1 = 21, 4*f = -4*y + 52. Let g be y\/(-16)*(2 + -2). Give l(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1515742 and 19704658\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -30 and 1598.2592.\nAnswer: 1568.2592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.9 + -1. Let n = 40425 + -40425.100046. Let t = n - i. What is t rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-17511)\/(-21) + 5\/35. Calculate the remainder when s\/(-4)*(26\/6 + -5) is divided by -5*((-9)\/(-3) + -10).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176714077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - k + 1 = 2*s, s = -4*k + 11. Let h be 3\/(-4) - (305\/(-60) + s). Which is smaller: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -1. Let v(q) = 9*q**2 + 15*q - 2. Let r(s) = v(s) - 2*w(s). Find the second derivative of r(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.52 + -1.95578213.\nAnswer: 0.56421787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5335020 by 3.\nAnswer: -1778340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t. Let o(s) be the second derivative of 0 + 0*s**2 + 1\/6*s**3 - 2*s. Give d(o(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*v + 2*k = -2828 + 2822, 6 = 4*v - 2*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (3 + -7 + 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6464790 to the nearest integer?\nAnswer: 2543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from iiikiikkiiii?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 43325 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 130\/143 + 0\/2. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 1:31 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 12443, 24947, 37573, 50381, 63431?\n\"Answer: 10*q**3 + q**2 + 12431*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 1\/3*b**3 + 2 + 0*b**2 + 0*b. Let x(r) = 3*r**2. What is l(x(u))?\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 27, 58, 87, 114, 139?\n\"Answer: -g**2 + 34*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*r + 16*r + 16*r)*(14 - 4*r + 2*r - 1)*(9 + 10 - 3) to the form s*r + m + v*r**2 and give s.\nAnswer: 8528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -58, -1, -2, 5 in increasing order.\nAnswer: -58, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -399.764 to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 + 6*m - 233. Let j(u) = -2*u**2 + 9*u - 350. Let q(n) = 7*c(n) - 5*j(n). What is the hundreds digit of q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-711)\/(-158)*1*(-2)\/(-30)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41370499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*p + 287*p + 483*p + 164*p = -5665 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 21059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3422, 6826, 10222, 13610?\n\"Answer: -4*b**2 + 3416*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 5466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -32*n - 5. Let x(t) = -208*t - 32. Calculate 32*j(k) - 5*x(k).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/90 + 1 - (-11)\/(-55)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(847) + 2 + 6*(sqrt(7) + -1) + 4 + (3*sqrt(875))\/(sqrt(1125) + sqrt(45)).\nAnswer: 107*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -93.48.\nAnswer: -373.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*i**3*m*x**2 - 252*i**2*m*x**2 - 52*i*m*x**2 + 8*i*m - i*x**2 wrt i?\nAnswer: -54*i*m*x**2 - 504*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -400, -1, -1\/3, 0.5, -1966.\nAnswer: -1966, -400, -1, -1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 258423356957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -14579708 less than 340520?\nAnswer: 14920228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 39052*w**2 + 38*w - 87. Is t(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19)\/(-24) - 10\/15.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 16702 + 4?\nAnswer: 16706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/8)*q*q*q**(-4\/9))**(1\/20)\/(((q\/q**(2\/13))\/q)**(3\/13))**(-2\/49) assuming q is positive.\nAnswer: q**(835663\/11924640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2778 and 219711.\nAnswer: 203452386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2.2182 + -308307\nAnswer: -308304.7818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(315)\/sqrt(5))\/sqrt(7))\/sqrt(3))**2 + ((sqrt(288)*-2)\/sqrt(8))\/sqrt(12).\nAnswer: -2*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from qqwowqwq.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 2383011892*h + 3 - 93*h**2 + 2383011892*h.\nAnswer: -93*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-7 + -16 + 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-33)\/(-7) - (-2)\/7. Suppose 0 = -v*r - 0*r - 65. Let y = -3 - r. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14501719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7236\/(-41040) + 9\/60.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-27)\/(-15) + 7\/35. Let x(i) = -i**n + 1 - 60*i + 2*i**3 + 6*i**2 - 2*i**2 + 61*i. Let a be (-1)\/(-1)*-5 + 3. Calculate x(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3304 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 314891?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24614*s**3 - 40*s**2 + 20*s**2 + 20*s**2.\nAnswer: -24614*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*s = -53*s + 54. Solve 15 = -s*c - b, -9*c + 6*c - 15 = 3*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 488166  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2844856268?\nAnswer: 2, 29, 61, 402043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 6*m**2 + 3768*m + 33436. What is n(-619)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 10583 = -4*o - 537, o - 2513 = 2*t. Is o a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 5:59 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 5745*c - 5748*c, 5*u + c - 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 8*y + 6. Give g(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 3*q**3 - 1078*q**2 + 3*q + 0*q - 13 + 4 + 1099*q**2 - 3*q**4 = 0. Calculate q.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 336228 is divided by 64.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 - 10*u + 5. List the prime factors of z(-13).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -962943684*t**2 - 3860*t + 102708 wrt t.\nAnswer: -1925887368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6662240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43960971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**5 + 6*p**5 - 4*p**5 + (2*p**4 + 2*p - 2*p)*(2*p + p - p) + 57*p**5 - 18*p**5 - 27*p**5 + p + 2*p**5 - p + 2*p**2.\nAnswer: 19*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/h**(1\/3)))**47\/(((h\/(((((h*h**(-2\/3)*h)\/h)\/h)\/h)\/h))\/h)\/h)**(2\/41) assuming h is positive.\nAnswer: h**(639\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddgg when four letters picked without replacement from dgggggggdggddgggggg.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 53*m**2 - 339*m + 63. Does 3 divide z(44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, l: 3, x: 4, i: 9, e: 1}. Give prob of sequence xxu.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 + 7*d - 3. Let j be g(6). What is the third derivative of 21*q**2 + 2*q**3 - 15*q**4 + j*q**4 - 2*q**3 wrt q?\nAnswer: -288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, -0.1, -13.038?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -292 and 175.\nAnswer: -51100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/32 and 11\/10446.\nAnswer: 167136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 15*w + 626. Determine z(-18).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -70, -156, -320, -580, -954, -1460, -2116, -2940?\n\"Answer: -3*d**3 - 21*d**2 - 2*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 143 - 135. Suppose f*n = d - 2*d + 2, 2*n + 2 = -2*d. Solve n*x - 9 = -0*x + 3*m, -3*x + 14 = -4*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 13, w: 6}. What is prob of picking 2 u?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5867857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 5 + 155*s**3 - 150*s**3 + 4.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 77, 79, 89, 113, 157?\n\"Answer: g**3 - 2*g**2 + g + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5938613*p**3 + 7239627*p**2.\nAnswer: -35631678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1113 = 4*y - 0*y - 558 - 543, 7*y = 52*t + 2*y - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-43 + 82 - 41 - j**3 - 4*j)*(2*j + 0*j - 5*j) to q*j**2 + h + a*j**3 + t*j + y*j**4 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 18601, 37288, 55959, 74608, 93229, 111816, 130363, 148864?\n\"Answer: -l**3 - 2*l**2 + 18700*l - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 34933652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (25*(-32)\/(-1000))\/(-2*(-2)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -180 divided by -5\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*j + 0*j - 3 - j)*(6*j**2 - 4*j**2 + 0*j**2) to o*j**3 + b*j + f*j**2 + c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1033*g - 908*g = 750 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of -275*r**3\/6 + 7150*r. Let z(w) = -20*w**2. What is z(v(b))?\nAnswer: -1512500*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*u - 15*u = 2*u + 240 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -147, -291, -435, -579?\n\"Answer: -144*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 - 7*c - 6. List the prime factors of u(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 2 - 34. Suppose g*t - 20 = 4*t. Suppose -t*k + 15 = -33. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 10:32 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1055817522 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 8940?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 - 54. Let o = p + 37. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2 - 15*l + 154.\nAnswer: -(l - 7)*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 20*h**2 + 22*h - 56. Let o be v(19). Let m(r) = -24*r**2 + 25*r**2 - 1 + 12*r**3 + 11*r**3. Give m(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*u - 5*k, 9 = 3*u + 2*k - 2. Suppose 0 = -2*y - 2*h + 15 + 21, u*y - 39 = 2*h. Let w be (-2)\/((-80)\/y + 5). Solve o + w = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49377023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 10:18 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 6 - 3*r**2 + 7*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 174?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*r - 3*r - r)*(3 - 2 + 1)*(-5*r - 4*r - 12*r) in the form s*r**2 + y + f*r and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 478*r - 375*r + 576*r = -271*r + 122550 for r.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -n**4\/12 + 4911*n. Let d(k) = -121*k + 2. What is r(d(t))?\nAnswer: -14641*t**2 + 484*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 - 3*g**2 + g + 3. Let f be n(-3). Let c be f + -4 + 44\/10. What is the smallest value in c, -2\/9, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 949*f - 50*f**3 + 276*f - 255*f**3 wrt f?\nAnswer: -1830*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*d = 206*d - 258 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 26*u**2 + 1. Let m be w(3). Let a be ((-94)\/8)\/(1\/(-8)). What is the highest common factor of a and m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3 and 3.01112177?\nAnswer: 3.31112177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 350\/(-490) + (-4)\/(-14). Put -18, 0.1, x in descending order.\nAnswer: 0.1, x, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-10))\/((-1)\/(-5)). Let i = 2 - y. Suppose -3*a - 45 = -5*q, 0 = -3*q + i*a + 21 + 6. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 + 13. Let s be ((-16)\/j)\/(-4)*-30. Suppose d + 2*w - 44 = 0, d = -4*w + 3*w + s. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -139 divided by 34?\nAnswer: -139\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 1535*z**3 - z**2 + 2*z - 1. Let h be (4\/6)\/(4\/6). Is p(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3 + sqrt(8)\/sqrt(36) + (sqrt(2)*1 + -5 + sqrt(2))*-3)**2*3.\nAnswer: -612*sqrt(2) + 3500\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 - -20. Suppose -48 = -3*p - z*d + 33, -5*p = 2*d - 149. Calculate the remainder when 3\/24 + 1413\/24 is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -163 + 480. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 9*c + 27. Let p(t) = 8*t + 28. Let k(u) = 4*p(u) - 5*r(u). What is the derivative of k(q) wrt q?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/48*8\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.15 + 0.75. Let p = -0.1 - k. Let z = -1223 - -1223. Which is the nearest to p?  (a) 2\/21  (b) z  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 693 = 2709. Suppose 0 = 3*a + a - n. What is the highest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6293*q = -6236*q + 912 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 PM and 2:58 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -2*h - 4. Calculate the common denominator of (4\/(-3) + 1)*50 and 48\/3*h\/(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 4*o**2 + 4*o + 1. Let f(s) = -s**2 + 141. Let p be f(12). Determine k(p).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 5, -10, 0.2, -21\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t**2 + t + 1. Let x(c) = 23*c**2 + 5*c + 5. Let l(w) = -5*m(w) + x(w). Let v(d) = 5*d - 175. Calculate l(v(h)).\nAnswer: -50*h**2 + 3500*h - 61250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 9*s**3 + 3*s**2 - 4*s + 2. Let q be f(2). Suppose 5*h - 5 - 18 = 2*u, 10 = h + 5*u. Suppose h*n - q = 82. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23168 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4657619699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 24071700 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9918)\/(-4) - 7\/14. Let i = d + -1301. Calculate the greatest common divisor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/2)\/((-3)\/(-33)). Solve 5*s + 4 + n = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b + 1. Let f(l) = -l**2 - 25*l - 4. Give f(n) - 7*j(n).\nAnswer: -n**2 - 18*n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*q**2 + 2 + 7*q + 41*q**2 - 40*q + 82*q**2 - 4 wrt q?\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -157279.168 to the nearest 1000.\nAnswer: -157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.08016 - 0.080168333. What is w rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 11. Let y(v) = 21*v + 1. Let z be y(w). Suppose -j - z = -3*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 72 + -68. Let c(m) = -m**3 + 2*m**2 - 2*m + 10. Let b be c(0). Suppose -b*w + 18 + 52 = 0. Calculate the lowest common multiple of w and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*a**6 - 8*a**5 + 1105*a**3 - 10*a**2 + 19802.\nAnswer: -360*a**3 - 480*a**2 + 6630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15.07 - -15.37. What is the fourth biggest value in -0.088, -2, -1, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2\/15  (b) 0  (c) -148  (d) 4  (e) 5  (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*x**2 + 957*x - 1422.\nAnswer: -3*(x - 158)*(2*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -220*v**3 - 701*v**3 + 241*v**3 + (-v**2 - 2*v + 2*v)*(v - 3 + 3).\nAnswer: -681*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -59605, -59610, -59615, -59620?\n\"Answer: -5*x - 59600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*b + 2*u + 16, -b + 2*u = 1 - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 11 = 4*a, 0 = -5*a + z - 2. Let n(j) = -j**3 + 5*j**2 + 18*j - 7. Let m be n(7). Let y = 24 - m. Put a, y, -4 in descending order.\nAnswer: y, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t**5\/3 - 35132*t**4 - 695150*t**3\/3 + 98308*t**2 = 0 for t.\nAnswer: -10533, -7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence emaa when four letters picked without replacement from {l: 2, e: 2, z: 2, d: 3, m: 2, a: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17338*n**3 + 35500*n**3 - 24396*n**3.\nAnswer: -6234*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -714467\/993102 + -1\/12111. Calculate the common denominator of s and -43\/20.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/((-4)\/(-1)))\/(-1). Suppose f = 3*t - 30 + 12. Calculate the remainder when 17 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 3*g - 4*g. Suppose -96 = -4*t - g. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 2\/19, -3\/4, -3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -59 + 95. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 65008 and 2468392.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1428 is divided by 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gguvnyus. What is prob of picking 1 s, 1 v, and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-4) - 9\/(-4). Suppose v - 3*f = 0, f = 3*v - o*f. Solve v*l + 16 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/11?  (a) -0.5  (b) -2\/41  (c) 0.4  (d) -2\/5  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151618*r = 151547*r + 3621 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y*(y**(-12)\/y)\/y)\/y)*y)**(-1\/24)\/(y**(-32)\/((y*y\/((y\/y**(-4\/23))\/y*y))\/y*y*y)) assuming y is positive.\nAnswer: y**(2288\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 24358602+4634.6\nAnswer: 24363236.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -64*c - 113. Let w(f) = -19*f - 38. Calculate -4*b(k) + 14*w(k).\nAnswer: -10*k - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*z - 52 = -101*z + 242*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 973178.5mm to meters.\nAnswer: 973.1785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 66150 and 5600700?\nAnswer: 16802100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 2*k + 78, -4*k - 171 = -4*r - 3*k. Calculate the remainder when 349 is divided by r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + (-16 - -10) + 7. Let m = 12.8 - 13. Which is the nearest to m?  (a) k  (b) 2\/11  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45177.4719 rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide -2*474\/(-36) + (-4)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 104256 and 288?\nAnswer: 104256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 3*l + 3 = 0, 5736*l - 5733*l = -12*u - 48 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t - t + 5*t)*(11 - 1 + 3) - 4*t + t + 2*t + t - 4*t + 5*t + (-t + 2*t + 8*t)*(-4 + 3 + 2).\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/135 + 754\/(-30). Let q = s + 28. Solve 0 = -q*u - 2*u - 4*f + 3, -5*u + 12 = f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9650 and 460?\nAnswer: 443900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of -7*m**3\/6 + 24*m. Let u = -2 - -1. Calculate the least common multiple of h(u) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of 6*y**5\/5 + y**4\/6 - y**3\/6 + 10*y. Is 6 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 80*a. Let x(j) = 162*j. Give 9*m(o) - 4*x(o).\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8576 + 27820. Is 34 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 3*x - 4 - 4 = 0, 2*r - x - 6 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -32460?\nAnswer: -32461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*p**4 + 56 - 17*p**4 + 4*p**4 - 18*p**3 + 7*p**4 + 0*p**2 + p**2 wrt p.\nAnswer: 48*p - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -130*i**5 + 73994*i**3*s - 20703366*i*s wrt i.\nAnswer: -2600*i**3 + 443964*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a factor of 2167250005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 2, m: 1, d: 2, v: 6}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -23*n + 5 - 3 + n**2 + 24*n - 2*n**2 - n**2 - 5*n**3. Give k(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*x - 3*f, 0 = 3*x + 2*f + 6. Suppose t - 47 + 30 = x. Suppose -4*s + 143 + t = 3*d, d - 28 = 5*s. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrc when three letters picked without replacement from {r: 5, c: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 2*v + 24, 2*v + 3 = 2*b - 1. Let w(j) = -2*j. Let a be w(b). Let m(y) = -y**2 - 8*y - 5. What is m(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 187120310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 8) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 898 + -3958\/3. Let k = -417 - c. Is k >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 52*((-38)\/(-60) + 22\/(-165)). What is the highest common factor of h and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162234637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.7 + 67.118170313\nAnswer: 66.418170313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 107827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3984, 1626, -2304, -7806?\nAnswer: -14880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13.09983 + 13.1. Round q to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168 = -167*u - 240 - 262 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 - 2*f + 3. Let d be s(0). Let q(r) = 8*r - 5. Let k(t) = -9*t + 6. Let j(y) = 2*k(y) + 3*q(y). What is the units digit of j(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2*l**2 - 4*l + 3. Suppose 5*f - 20 = 4*k + k, 0 = k + 2. What is the units digit of n(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.91 - 0.9. Let b = i - 0.31. Let s be (5\/((-80)\/12))\/(12\/(-40)). What is the second biggest value in 4\/7, 2, b, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 7*w**2 + 5362*w + 8. Let m(q) = 3*q**2 + 2682*q + 3. Determine 2*l(p) - 5*m(p).\nAnswer: -p**2 - 2686*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 140*a - 567*a - 45*a in the form j*a + f and give j.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 + -23. Suppose 126 = q*x - 6*x. Let f be (8\/(-3))\/((-28)\/x). Put -3, f, 2 in increasing order.\nAnswer: f, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3264455 (base 7) in base 15?\nAnswer: 7e435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 - 5)*4\/(-12). Is 1 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1759938399 to the power of 1\/3, to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 34931097199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/1799 and 37\/1285?\nAnswer: 8995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/(-36) - 3\/(-3429)*236. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2561433, 2561451, 2561481, 2561523, 2561577, 2561643?\nAnswer: 2561721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/(-14)*(-4 - -2). Sort 3, 4, x, 2.\nAnswer: x, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of -h**6\/12 + 38*h**5\/15 + 1129*h**4\/8 - 9*h**2 - 124*h - 2. What is the second derivative of f(g) wrt g?\nAnswer: -60*g + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -155530\/3?\nAnswer: -155530\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-385)\/4)\/(-11) + (-20)\/(-80). Solve t + 2*p - 6*p + m = 0, -5*t - 2*p = -21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2688 (base 9) to base 6\nAnswer: -13212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/21 - (-2)\/(-14) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6183 - 6177.754. Round r to one decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 10. Let u(l) be the first derivative of -1 + z*l**2 + 1\/2*l - 1\/6*l**3. Determine a so that u(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -148*j - 13175. Determine m(-83).\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 4003.39637 to one dp.\nAnswer: 4003.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 210*u**5 - 58*u**4 - 214*u**3 + 58*u**2 + 4*u = 0. What is u?\nAnswer: -1, -2\/35, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 132.828206 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 58 + -33. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21912 is divided by 2174.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 140174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 138 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 + 1 - 4*m + 6*m - 3*m.\nAnswer: -m - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -49 - -40. Let c(s) = -2*s - 12. Let d be c(u). Suppose -d*y = y - 35. What is the highest common divisor of 55 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -13*x**2 - 7*x - 33. Let g(z) = -7*z**2 - 4*z - 16. Let m(u) = -7*g(u) + 3*q(u). List the prime factors of m(-4).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 7)*(-5*x + 3*x + x)*(x**2 - x**2 - 3*x**4).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 10*v**2 + 2855*v + 34585. Let p(y) be the second derivative of y**4\/12 + 119*y**3\/3 + 1441*y**2 - 2*y + 3. Let r(q) = 2*a(q) - 25*p(q). Factor r(k).\nAnswer: -5*(k + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 6 = -4*b. What is the remainder when 40 + -1 - (5 + b) is divided by ((-32)\/(-48))\/(2\/57)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48 = 2*x - 38, 2*x + x + 8 = -v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000060405 to seven decimal places.\nAnswer: -0.0000604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 370477 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 4*d = -7200384, p - 1800116 = -23*d + 27*d. Round p to the nearest 10000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-4)\/(f**(1\/6)*f))\/(f**1\/f**(-2\/7))*(f**8\/f**7)**8 assuming f is positive.\nAnswer: f**(65\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20149756 and 6.\nAnswer: 60449268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1238 - -1159.1238. Let d = r - 1380.1. What is d rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -4*u**2 - 257*u - 6. Let f(c) = 7*c**2 + 514*c + 10. What is 3*f(z) + 5*m(z)?\nAnswer: z**2 + 257*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1834.822 - 1835. Put -1, x, 2\/3 in increasing order.\nAnswer: -1, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 165866.9119540329 + -23.9226449329. Let j = v - 165717.9893. Let x = j + -125. What is x rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 + 28*v**2 - 6*v + 168. Determine u(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17340448 take away 1040873?\nAnswer: 16299575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/336*104\/10. Let g = y - -1\/35. Let s = -0.0532 + -12.9468. What is the closest to g in -5, 2\/9, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(168)*-1 + sqrt(168))\/sqrt(12))\/(sqrt(7) + -6*sqrt(35)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1208 + 1260. What is the greatest common divisor of 442 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*j - 6*a + 3*a, 4 = -j + a. Let w(f) = 3 + 0*f - j + f. Let p be w(3). Solve 0 = -z + p, 2*s = 2*z + 3*z - 27 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166078965947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, h: 5, g: 1, p: 1}. Give prob of sequence po.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 117728260 divided by -52?\nAnswer: -2264005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 316326687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 12 + 105 + 9*y + 3*y - 10*y - 6*y.\nAnswer: -4*y + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42344197 is divided by 1008195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 4*i - 18*i + 3 + 16*i. Let m = -5 + 2. Calculate f(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 273*j**2 + 207*j - 18459. Determine n(-274).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3\/8  (b) 12  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1300)\/11050*(-51)\/(-213)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9086 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, 2\/7, 0.2, -0.4, -4\/9 in descending order.\nAnswer: 23, 2\/7, 0.2, -0.4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4 or -1\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 5*y**2 - 2*y - 3. Let c be g(3). Let k = c - 20. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -61, 7, 1, -1, -0.2, 3, -180\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 855 = -4*i - 211, 3*y = 3*i + 483. What is the lowest common multiple of 138 and y?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 467, 463, 457, 449, 439, 427, 413?\n\"Answer: -k**2 - k + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11984532 + -11990478.7636. Let t = 5945.46359972 + b. Let m = -1.3 - t. What is m rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7385.591 centimeters to nanometers.\nAnswer: 73855910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -572 (base 8) to base 5\nAnswer: -3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*k + 36*k + 2*k)*(-k + 4*k + k)*(3*k - 2*k + k).\nAnswer: 344*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**2 - l - 6. Let q be r(-2). Solve -19 + q = -3*d, 4*a + 5*d - 37 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**3 + 96*y**2 - 78*y - 109. What is the remainder when x(-48) is divided by 130?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 450636.\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2.1*970102\nAnswer: 2037214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, i: 3}. Give prob of picking 2 i and 1 p.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.1  (b) -7\/2  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -52*c**3*n*w**3 - 371*c**3*n*w**2 + 2*c**2*w - 33*c*n*w**2 - c*w**3 - 46*w wrt c?\nAnswer: -312*n*w**3 - 2226*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -2\/9  (c) -464\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -6*k**3 - 3*k - 2. Determine n(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f - 488 = -1385. Calculate the highest common factor of f and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 35*(-2)\/(-2 - 0). Let v = 33 - 28. What is the greatest common divisor of a and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-18)*u)**(-49)*(((u**(-44)\/u)\/u)\/u)\/(u\/(((u*u**48)\/u)\/u)*u) assuming u is positive.\nAnswer: u**(-982)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 67765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 + -12. Suppose -b*i = -27 - 58. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 52*c + 30. Does 38 divide n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + 17*y + 43. Let f = 1056 + -1071. What is d(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 152602687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 + 11*l**2 + 7*l - 5. Let c be q(-10). Suppose -3*g = -0*z - 2*z + 6, -4*g = z - c. Let t(b) = b**2 - 11*b + 12. Determine t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + -8 + -1 - (30 + -36 - (1 + 3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -175294, -175293, -175292, -175291?\n\"Answer: y - 175295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 93 + 17. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -85069045.67898\nAnswer: 85069046.67898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5.06 - -0.06. Let y be (-55 + 56)\/(((-6)\/(-4))\/(-3)). Which is the closest to -1?  (a) y  (b) 3\/4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16005\/8 + -1991. Suppose -3*d = -0*d + 123. Calculate the common denominator of d and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66 - 122*z + 69 - 196 + 69.\nAnswer: -122*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 180873 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 408  (c) -2654\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 599709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-3)*-2*6. Let a = -70 + 73. Sort a, -4, q in increasing order.\nAnswer: -4, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/7  (b) -333  (c) -3  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 174806081 to the power of 1\/2, to the nearest integer?\nAnswer: 13221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58 + -2 + 1 + -1 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 0.03131.\nAnswer: -0.06262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 34217 + -2326673\/68. Let y = 8\/17 - c. What is the closest to 1 in 0.1, 5, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -291*t + 38070 = -13*t + 145*t. What is the remainder when 578 is divided by t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -4. Which is the closest to 2?  (a) 4  (b) y  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) 3  (c) 1218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a**6*a)*a*a\/(a*a*a**(-1\/15)*a))\/(a*a**2*a)**(4\/17) assuming a is positive.\nAnswer: a**(-1753\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -191*q - 17*q**2 + 47*q + 54*q + 35*q.\nAnswer: -17*q**2 - 55*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 10*a**2 + 16*a + 47. Let x be s(-11). Calculate the remainder when 45 is divided by 13\/(-5) + x\/20 - -29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/48*-105*(-564)\/235.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 568*v**3 + 4*v**2 - 570*v**3 - 4*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 724*a + 723*a - 28 = 0, -3*l - 24 = 3*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-45)*o**(-15)*o**2\/(o*o*o**(-3)*o**(-2\/17)) assuming o is positive.\nAnswer: o**(-967\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 12*r - 9. Let y be p(9). Suppose 64 = 10*m - 6*m. Does m = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40583215?\nAnswer: 5, 8116643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 7 = -5. Let r(x) = -2*x**2 + 7*x - 9. Let o be r(v). Let h be -2*(-3)\/o*0. Solve h = 4*q - 0*q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4964.84 + 5012. What is x rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2937 and 18.\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8552310881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.74 + -0.11. Let g = 0.667 - y. Let n = 0.069 - g. Round n to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3334031 + -4?\nAnswer: 3334022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12371163?\nAnswer: 3, 7, 79, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -5*j**5 + 161960*j**4 - 1752819840*j**3 + 6381979120000*j**2 - 474977055466240*j = 0.\nAnswer: 0, 76, 10772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 58 * 952\nAnswer: 55216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1507 = -18*q + 412 + 943. Suppose w + 113 = 2*z, 0 = -0*z - 3*z + 2*w + 172. Calculate the remainder when q is divided by z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.06 - -7.94. Let m = -8.0001 + f. What is m rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -28*c + 53. Let u(t) = -47*t + 53. Determine 2*u(m) - 3*z(m).\nAnswer: -10*m - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 PM and 3:21 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - 42105321?\nAnswer: -42105315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1, 10, 35, 80, 151, 254?\n\"Answer: h**3 + h**2 + h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 4*m = 18, 15*c + 4*c - 3*m - 185 = -244 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 13) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 3)*3\/57. Let d = -178191 + 178190.8. Sort w, d, 1\/8.\nAnswer: d, w, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 6*j + 4*j - 2*q = -4*j - 34, 3*q - 47 = 4*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -167771 > -167772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*w + 109 + 75. Suppose -i + 1838 = -5*n + w*n, 5*i = 5*n - 3090. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 4  (b) -17  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-7) + (-4816)\/49. Let t be 57\/7 + 14\/a. Solve 0 = -4*h + 4*m - t, -3*h - 6 = -0*m + m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 5590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92572 is divided by 92549.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 5 + (-3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(3 - 9) - 35\/(-10). Suppose 13 - 4 = 3*q. Let l = q + g. Calculate the remainder when 19 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -31.62238 to 1 decimal place.\nAnswer: -31.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 12*l**2*p*q - 16*l**2*p + 26*l*p**2*q - 197*l*p**2 - 8*l*p*q wrt q?\nAnswer: 12*l**2*p + 26*l*p**2 - 8*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 4.77?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 807 - 469. Suppose -s - w = -q, q + 2*s - 59 = 276. What are the prime factors of q?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -9, -57, -187, -441, -861, -1489?\n\"Answer: -7*x**3 + x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 15, a: 4}. What is prob of picking 1 o and 3 a?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -169*f**6\/6 + 5642*f**5\/5 - 45321*f**4\/4 - 29512*f**3\/3 - 2312*f**2 - 3339. Suppose d(b) = 0. What is b?\nAnswer: -4\/13, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 - 7*y**2 - 7*y - 4. Let a be 4*(3 + (-27)\/6). Let x be d(a). Suppose n - 11600 = x*n. What is n rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/6)*o*o**1*(o**(-1))**(-6\/11))**(-45) assuming o is positive.\nAnswer: o**(-2685\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1b + -40409?\nAnswer: -403aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 119*f**2*m**2*y**2 + 155*f**2*m**2 - 3*f*y - m**2*y**2 + 2*m**2 wrt y?\nAnswer: 238*f**2*m**2 - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 245 and 156336425.\nAnswer: 1094354975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 1553 + 727. Suppose 10*m = 5*m + p. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 93 divided by 3\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 499 + -465. Solve -n*d + 24 = -42*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 25 + -4533?\nAnswer: -4504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35434112 divided by 112.\nAnswer: -316376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 10:00 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-59)\/((-396539)\/47)*13?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/2987 and 127\/17922.\nAnswer: 17922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1008*m + 17849 = -4623*m + 43154 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 1394 = -5*i + 10088, 4*i + 5*k - 6933 = 0. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 + 20 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1917 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 12, e: 1, b: 7}. Give prob of sequence bzzz.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144 = -9*j - 3*j. Let q(x) = 2*x**2 + 14*x + 17. Let z(w) = w**2 + w + 1. Let i(l) = q(l) - 3*z(l). Let a be i(j). Solve -n - a = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 3*x - 24. Let q(r) = 2*r + 2. Let i be q(x). Let m be 6\/(-21) - 10\/i. Which is the smallest value?  (a) 2  (b) -0.03  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*k**2*v**2*y**3 + 806*k**2*v**2*y**2 + 314*k*v**2*y + 693636*v**2*y**3 - 15*v*y**2 wrt y?\nAnswer: 54*k**2*v**2 + 4161816*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 - 5*p + 1. Let r be s(3). Let m(l) = -l**2 + 4*l + 2. Let f(z) = -z**2 + 4*z + 2. Calculate r*f(j) - 5*m(j).\nAnswer: j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -91102 - 783550464?\nAnswer: -783641566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*p**3*t**3 + p**3*t**2 + 2314*p**2*t**3 + 31571*p**2 + 2*p*t**2 wrt t.\nAnswer: 66*p**3 + 13884*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 47.9197247 * -0.5.\nAnswer: -23.95986235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - n)*(-808*n - 409*n**2 + 808*n) - 2*n + n**3 + 2*n as x*n + d + u*n**3 + s*n**2 and give u.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 9. Let k = 222.2 - 222. What is the nearest to 0.4 in -4, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -90?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**3 + b**3 + 2*b**3 - b + b - b**3 + 0*b**3 + 5*b**3 - 4*b**3 + (3 - 1 - 3)*(-b**3 + 4 - 4) - 1 + b**3 + 1 + 4*b**3 - 1 + 1.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -6*j + 298. Calculate the remainder when 67 is divided by y(45).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1400 (base 5) to base 7.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/4))**(1\/16)\/(((l**1*l*l)\/l)\/(l**(-8)\/l)) assuming l is positive.\nAnswer: l**(-703\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m + 11. Let z be i(-12). Let j = 0.7 + -0.3. Which is the smallest value?  (a) j  (b) -0.04  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7370510.13 take away -49.101?\nAnswer: -7370461.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 23347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -656*w + 108*w - 2483 - 40752 = -8711 for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -73*p + 5. Let u be f(4). Calculate the common denominator of ((-286)\/(-20))\/(48\/80) and 2\/8 - u\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, e: 1, f: 2, y: 6, g: 4}. What is prob of sequence ygt?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1 - 0)*-1)\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 3*x - 6 = -0, -x + 2 = -2*z. Let b be -2 + -2 + (1 - -7). Suppose z = 2*p - b*p + 242. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 - 3*n + 5. Let z be d(2). Suppose 4*v - 2*k + z*k = -28, 3*v + 8 = -4*k. Which is smaller: v or -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -12. Suppose -5*g + 5*h = 20, 5*g - 3*h = -8*h - 20. Let o(v) = 2*v**3 + 8*v**2 + 5*v. Let i(l) = 2*l**3 + 7*l**2 + 4*l. Calculate g*o(m) + q*i(m).\nAnswer: 2*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-11)\/2)\/(2\/(-4)). Suppose 3*w = x + 1, 3*x = 2*w - 0*x + f. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 1. Suppose -189 = -o + z*o. Let u = -44 - o. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 + 559 = 8*u. Is 10*1\/2 + (2032 - u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2411679 and -15?\nAnswer: 3.6175185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 112 and 777?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 71.18, -5\/17 in descending order.\nAnswer: 71.18, -5\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4 - 4. Let s be (b\/(-36))\/(6\/9). Which is smaller: -1\/14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 9:16 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1376134420 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1030230013 (base 4) to base 14\nAnswer: -82691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c - 5*c + 185122 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 23*k**2 - 47*k + 6. Let z(y) = 8*y**2 - 16*y + 2. Determine 6*f(c) - 17*z(c).\nAnswer: 2*c**2 - 10*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 103 + -95. Solve -5*v - c = -7*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v - 17*v + 9*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -6*z**2 + 622*z - 2602. Let k(f) = 4*f**2 - 620*f + 2584. Let y(i) = 5*k(i) + 4*t(i). Factor y(v).\nAnswer: -4*(v - 4)*(v + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-848)\/(-318) + (-7045)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 1:35 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-135) + 568\/1278 - 52\/5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -138.469 less than -0.4?\nAnswer: 138.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 v, and 1 d when three letters picked without replacement from {v: 1, x: 1, y: 1, l: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = 2*m - 6, -3*m = -4*l - 12 - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v = 3*r + 11*v - 1551, -2*r + 4*v = -1032. What are the prime factors of r?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 3*j**2 - 2. Let k be y(4). Let q = -129 + 147. Let b = k + q. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h**3 + 11*h**2 + 5*h + 6. Let a be r(6). Let m(f) = -4*f + 30. What is the smallest common multiple of m(a) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of -2*m**3\/9 - 389*m**2\/3 - 776*m\/3 - 276. Factor s(c).\nAnswer: -2*(c + 1)*(c + 388)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-518*u + 262*u - 2 + 267*u)*(2 + 1 - 1)*(2 + 1 - 1)*(3 - 4 + 4).\nAnswer: 132*u - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -225*a**3 + 77*a**3 + 77*a**3 + 73*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/21 and -64\/357?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**4 + 18*z**3 - 42*z**2 + 38*z - 12.\nAnswer: -2*(z - 6)*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/5, -10, 4\/11, -2, 0.4, -24?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 567036, 1134072, 1701110, 2268150, 2835192, 3402236?\n\"Answer: b**2 + 567033*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 13\/2461546?\nAnswer: 13\/2461546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/4 - 13*z**2\/4 + 7*z\/2.\nAnswer: -z*(z - 1)*(z + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 4*j**2 - 3*j - 8. Let d be a(5). Let y be 3\/1 + 0 + 0. Solve 6*m - 4*m - 12 = -d*f, -6 = 3*f - y*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 + 0*s - 3*s + 2*s)*(-1 - s**2 + 1).\nAnswer: s**3 + 34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -7305654, -7305665, -7305650, -7305597, -7305494?\n\"Answer: 2*t**3 + t**2 - 28*t - 7305629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - 3*f**2 + 1. Let j = -9 + 6. Let a be z(j). Suppose a = 2*y - 3. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/35)\/((4\/(-4))\/7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -27969584914 - -8?\nAnswer: -27969584906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 191, 783, 1771, 3155, 4935?\nAnswer: 7111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2287.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 845945470?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-23 - 28) + -1 - -103?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11400796 - 1\nAnswer: -11400797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24 - 1) + (-16 - (-8 - -1)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + 3303320?\nAnswer: 3303330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -5233.\nAnswer: -5233, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 179143394 and 4020?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of -32 - 7*h**2 + 1\/4*h**4 + 18*h + 14\/3*h**3. Let m be n(-15). Solve q = 4*d - 3*d - m, -2*q - 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 44.9 + -339.7.\nAnswer: -294.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1301, -1226, -1037, -680, -101, 754, 1939, 3508?\n\"Answer: 9*i**3 + 3*i**2 + 3*i - 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5543060.3 plus 111?\nAnswer: 5543171.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 706 is divided by 181.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.426 + 3.426. Let m be 9\/3 + -5 + -2. Which is the fourth biggest value?  (a) t  (b) m  (c) -3\/5  (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w = -15*w - 5*b + 916, 456 = w + 2*b. What is the highest common divisor of 512 and w?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 548 and 20413.\nAnswer: 81652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 + 3*r**2 - 824*r**4 + 2*r**3 + 897*r**4 + r to the form l*r**4 + p*r**3 + m*r + s + j*r**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 3 + 1. Let h(g) = 7 - 45*g - g + 1. Let k be h(n). Round k to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.98447 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - -5 - (0 - 1). Suppose 2*p = 4*a - 28, a - 12 - 2 = -3*p. Suppose -3*w + 29 = 5*k, -k - w = -i*w + a. Solve 2 = 3*j - k*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -348032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -2*a**2 + 28*a + 16. Suppose -5*h + 4*v + 52 = 0, -2*h + h = 3*v - 18. What are the prime factors of b(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -51000 at least as big as -51001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 3 = -3*v. Let j be (v - -26) + 2 + 1. Suppose -3*g + j = 5*o - 38, 0 = 2*g + 10. What is the highest common divisor of 128 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16 and -0.35.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 39*a**3*n**2 - 2*a**3 - a**2*n**2 + 39*a**2*n + 3 wrt a.\nAnswer: 234*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w - 1. Let y be 2\/3*(6 + 6). Let u be (4 - y - 0)*3. Let c = u + 9. Give d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 68\/(-51)*-9*1. Suppose 3*v - 176 = 2*h, -v + 5*h + 31 = -19. What is the highest common divisor of o and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3235 + -1351?\nAnswer: -4606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 6*r + 1. Let a(d) = d. Suppose -4*q - 7*p + 45 = -2*p, -q + 4*p + 6 = 0. Let x be ((-4)\/q)\/((-11)\/(-110)). Give x*a(m) + t(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 12*v**2 + 3*v - 2. Let b be s(2). Let l = 816 + -556. Calculate the highest common divisor of b and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 10*w - 9. Let c be a(-9). Suppose 5*z = -5*m - 5, 0 = -5*m - c*z - 3*z + 3. What are the prime factors of 2 + 21 - (m - 1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -55, -5, 836.4.\nAnswer: -55, -5, 9, 836.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.1055457*28\nAnswer: 2.9552796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 127073 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2*k = -6*w + 246, 146 = 3*w - 2*k. Calculate the highest common factor of w and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 16*v - 82. Let c(t) = -5*t + 27. Calculate -19*c(b) - 6*g(b).\nAnswer: -b - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -g**4\/12 - 3*g**3\/2 - 7*g**2 - 24*g - 3. Let f be u(-6). Put -1, f, -16 in increasing order.\nAnswer: -16, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 3*c**2 + 6*c + 1. Let z(a) = -5*a - 11*a**2 - 8*a**2 + 3 - 6 + 2 + 17*a**2. Determine 4*p(n) + 5*z(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 2:22 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1342 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 167 - 108. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 + 7*n**2 - 2*n + 3. Let d be q(6). Let w = 61 - d. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + (sqrt(38)\/(sqrt(2)*2) - sqrt(19)))**2 - (-1 + (sqrt(76)\/sqrt(4) - sqrt(19)) + sqrt(19) + sqrt(76)\/sqrt(4)*1)) + 3.\nAnswer: -3*sqrt(19) + 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1033 - -5?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 9644 a factor of 1258956692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t. Let i(q) = 45450054*q**2. What is i(y(m))?\nAnswer: 409050486*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence feef when four letters picked without replacement from fizfheiddieiifd.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 + 6*q**2 + 7*q + 5. Let t be p(7). Suppose 78 = 5*w - h, t*w - 3 = -3*h + 83. Calculate the lowest common multiple of w and (-1)\/(-1)*(3 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -1 - 7*q**2 - 2*q + 3 - 3. Let r(v) = -6*v**2 - 2*v. Let s(p) = -4*h(p) + 5*r(p). Suppose s(k) = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -18344 and 6855 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from twwqzt. What is prob of picking 1 t and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 10 = 24. Suppose -q*i = 2*b - 7 - 5, -2*b + 2 = 0. Solve i*s + 9 = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9958 and 4342?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 AM and 1:20 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -659 - -652. Let r be 0\/((10\/(-35)*z)\/(-1)). Let t(a) = a**2 - 4*a + 4. Give t(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 255 is divided by 80?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1058 - 569. Suppose -n + b = 2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 768 - 1094. Let l = i + 384. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 37 = -177. Is (-2080)\/l + (-2)\/(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 176.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, x: 4, n: 1, o: 2, m: 7}. Give prob of sequence nxo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60 and 1733730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**3 + m**3 - 5*m**3)*(-113 - 190 - 53)*(6*m - 6*m + 5*m).\nAnswer: 7120*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6203995)\/175*-5*1\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q. Let c(v) = 46010*v**2. Calculate i(c(x)).\nAnswer: 46010*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 10) to base 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6663007 days to milliseconds.\nAnswer: 57568380.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 13, -3\/35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 347 = 2*q - 197. Suppose s - q = -s. Suppose b + s = 138. Solve 0 = -3*l - 9, -b*p + 23 = 3*p - l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 43416000 to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -16b6?\nAnswer: 16b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 28*i**2. Let v(f) = 36*f**2. Give s(v(d)).\nAnswer: 36288*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -80 + 146 + -55 + (-1 - -3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k - 12 = 15*k, a = k + 6. Suppose -g - 26*z = -24*z - 9659, -3*g = -a*z - 28995. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {q: 1, b: 2, z: 1, e: 4, f: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37.9 - 43. Let g = 0.1 + t. Which is the third smallest value?  (a) -3  (b) 0.5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/4*392\/(-84).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 - v**2 + 5*v**2 + (0 + 3 - 5)*(5*v**2 - 4*v**2 - 2*v**2) - 3*v**2 + 2 - 2)*(-18*v + 28*v - 14*v - 2).\nAnswer: -4*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/192 and 65\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-68 - (-4 - -7) - (92 - 111))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((20677\/(-87))\/31)\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) -105\/4  (b) 51  (c) 0  (d) -72  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 424 + 104 = 0. Let y = 439 + j. Let i = y - 237. What are the prime factors of i?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*((-3)\/(-50))\/((-27)\/15)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 - 2*t**4 + t - 3*t - 18 + 4*t**4 as n*t**3 + l + d*t**4 + j*t**2 + k*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -253, -236, -209, -166, -101?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1088) + -1)*-1)**2*-2 + ((sqrt(1088) + 0 + sqrt(1088))*-2 - (sqrt(1088)*-1 + 4))**2.\nAnswer: 224*sqrt(17) + 7630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 17, 23, 41, 77, 137?\n\"Answer: v**3 - v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/117808 and 33\/398.\nAnswer: 117808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - 7*r - 2. Let z(p) = -p + 1. What is y(t) - 5*z(t)?\nAnswer: -t**2 - 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5751101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 36 = -4*p, 3*p + 3*n = 5*n + 50. Calculate the remainder when 24 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1084146672 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 19566*o. Let x(z) = 2*z**2. Calculate x(m(f)).\nAnswer: 765656712*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 130799\/20 - 6543. Calculate the common denominator of 35\/78 and w.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 210 - -4?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(17)*2 + sqrt(17))*-4 - (sqrt(187) + (2*sqrt(187) - sqrt(187) - sqrt(187)))\/sqrt(11)))**2.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/(-4*(-2)\/8). Calculate the remainder when 82 + (20\/70 - 9\/x) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30 + -27. Suppose i*x = -5*t + 65, -4*t - 110 = -x - 2*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -3*d - 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 7*x**2 - 6*x - 1. Let r be i(-6). Let f = -1 - -1.2. What is the smallest value in 0.1, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -19, -5, -3 in increasing order.\nAnswer: -19, -8, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 2*j - j)*(0 + 3 - 1) + 0*j - j + 0*j + 2*j - 4 + 4 + 6 - 6 + 8*j + (-2 - 1 + 4)*(0*j - j + 3*j) - 51439 - 105*j + 51439.\nAnswer: -92*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 4*b - 14. Let w be -2*(1 - (b + -4)). Solve -4*l = 5*p - 0 + 2, w*p = 3*l + 17 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(63) + -4 - (sqrt(7) - (sqrt(56)\/sqrt(200) + sqrt(7)))) + 3)**2.\nAnswer: -32*sqrt(7)\/5 + 1817\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of -m**5\/30 + m**4\/4 - m**3\/6 + 413*m**2. Let x(n) = 4*n**2 + 3*n + 3. Let s be x(-1). Calculate b(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -53020 + 91959. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 218*q**2 - 59*q**2 + 89*q**2 to the form x + m*q + r*q**2 and give r.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/274905 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21.9 + -22. Let h = -224 - -229. What is the closest to s in 0, h, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42, -47, -52, -57, -62?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -436 (base 11) to base 4\nAnswer: -20023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -7*b + 1. Let v(q) = 5 + 0 - 20*q - 3. Let t(f) = -14*h(f) + 5*v(f). Let w be t(-10). Calculate the highest common factor of 64 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5899268 tonnes in milligrams?\nAnswer: 589926800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.069, -2, 1\/24, 2.6 in decreasing order.\nAnswer: 2.6, 0.069, 1\/24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4361 take away 2580.3?\nAnswer: -2580.7361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-30 - -2 - (-5 - (5 - 6) - -6)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 47 - 1 = 0. Let f(h) = h**3 - 103*h**2 + 101*h + 104. Let x be f(102). Find the third derivative of 8*o**2 - 34*o**4 + o**2 + q*o**x wrt o.\nAnswer: -816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = -4*z + 5, -3*z - 21*m + 193 + 68 = 105 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62495 and 33930.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/5, 14, 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 2*f**2 - 3*f - 12. Suppose 4*q = -3*o - 6 + 37, -q = -4*o + 16. Suppose 4*d = -o*w + 12 + 23, 5*w - 15 = 0. Is 19 a factor of c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d - 18 = 12*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1, 9, 23, 43, 69?\n\"Answer: 3*n**2 - n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -5327, -2.\nAnswer: -5327, -2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/40 and 137\/108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*n + 7*n + 3103*n**2 - 10222*n**2 - 12100*n**2 in the form s + m*n**2 + w*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 - q + 3. Let w be s(-2). Is 550*1 - w*(-4 - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16023281 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the first derivative of 5*b**3 - 7*b**2\/2 + 7*b - 54. Let d be k(1). Let z be ((-15)\/(-5))\/(2\/2). Solve -5*w = 25, z*h - 5*h - 5*w - d = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 12*d**2 + 7*d + 13. Let o be z(12). Suppose o = 5*m - 13. What is the least common multiple of m and 9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 9*m**2 + 3*m - 3. Let p(a) = 2*a**2 - 74*a - 325. Let k be p(41). Let r(q) = -46*q**2 - 16*q + 16. Calculate k*r(f) + 16*g(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 2*a + 4)*(67 - 74 + 54) in the form m + n*a and give n.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 5*o**2 - 8 - 2*o**3 + 6*o**2 + 27 - 9*o + o**3. What is the tens digit of y(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -271, -269, -267, -265, -263, -261?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2072*q = 4*i + 2069*q + 13, q = -i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**3 - h**2 + h**2)*(-3 + h**2 + 3) + 4*h**5 + 5*h**5 - h**5.\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q**2 + q - 19. Let d(y) = 2*y**2 - y + 10. Let w(r) = -5*d(r) - 3*o(r). What is w(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4507?\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 + 5. Let h = c + 5. What is the nearest to h in -0.2, 4, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (102\/(-54) + (-4)\/(-18))*(-6084)\/(-390).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -102023?\nAnswer: -102031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 23757806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 597442053 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - -6)*1*40\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 7\/3, 1\/3, -13.2 in increasing order.\nAnswer: -13.2, -3\/2, 1\/3, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -260908 greater than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a - 1. Let q be d(-4). Suppose y = q*o - 9, 2*y = -2*o + 5*y + 6. Suppose 2*k - 15 = -o*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 3 - (3 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 - 6 = -7*f. Suppose -3*n = 4*b - 1225, -f*b + 1226 = -0*b + 2*n. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (18\/12)\/(6\/(-16)) + -404. Let u be 6\/4*32\/k. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 12*b**2 - 5*b + 5. Let h(q) = 13*q**2 - 6*q + 6. Let c(n) = -5*h(n) + 6*x(n). Let y(p) = -p**2. Give y(c(z)).\nAnswer: -49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1189 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 210  (b) 0.5011  (c) -2\/15  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1109, -1107, -1095, -1067, -1017, -939, -827, -675?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 + 6*o**2 + 5*o + 6. Let f = -21 - -17. What is the remainder when 62 is divided by t(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*u**5\/6 - 249495*u**4\/2 - 114802535*u**3\/6 + 15596415*u**2\/2 + 57401255*u\/3 - 7673460 = 0. What is u?\nAnswer: -153, -1, 2\/5, 1, 30092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*w**4 + 401100*w**3 + 2017622385*w**2 + 66254299650*w + 545698558845.\nAnswer: 5*(w + 10011)**2*(2*w + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -71 + 73. Differentiate u*v**3 + 6*v**2 + 3*v**2 + 38 + 14*v**2 - 4*v**2 with respect to v.\nAnswer: 6*v**2 + 38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13685890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(-2)*(-117)\/(41769\/(-12))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 (base 12) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 8 = 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 777 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 857081\/4 greater than or equal to 214271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 967833715 to the power of 1\/2, to the nearest integer?\nAnswer: 31110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - ((-6 - (5 + -8)) + -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -150 - -204. Calculate the highest common factor of s and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247961 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 7*w + 160. Let u(k) = 6*k + 200. Let n(x) = 5*t(x) - 4*u(x). Let r(h) = -950*h**2. Calculate n(r(b)).\nAnswer: -10450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f*o**5 + 2363855*f*o**3 + 4*f*o**2 - 5060*f*o + o**4 + o**2 - 22*o wrt o?\nAnswer: 60*f*o**2 + 14183130*f + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-220 + 220 - 5*c)*(-c - 3*c + c) + 5*c**2 + 0*c**2 - 7*c + 4*c.\nAnswer: 20*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**(-19))\/v**(-20))\/(v\/(v**(-6)\/v*v))**(2\/13))**(3\/23) assuming v is positive.\nAnswer: v**(36\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 165\/3 - (-5)\/10*12. What is the third derivative of -4*r**2 + 4*r + g*r**3 - 5940 + 5940 wrt r?\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of 109*a**3\/3 + 35*a**2\/2 - 167. Find the second derivative of p(u) wrt u.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77957 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t + 2*k + 13 = 0, -31 = -5*t - k - 29 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cicc when four letters picked without replacement from hiicciciicih.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -470, -1, 1 in increasing order.\nAnswer: -470, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 343 = -2*b - 357, -2*b = 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*u = -15*u - 58429. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2222.16077 to 1 dp.\nAnswer: -2222.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 9, 1, -29, -87, -179, -311, -489, -719?\n\"Answer: -d**3 - 5*d**2 + 14*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u - 3*u - 2*u**3)*(-u**2 - 3 + 3) + 4*u**5 - 3*u**5 + 3*u**5 + 4*u**5 - 6*u**5 + 8*u**5.\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 319 - 1138 = -379 - 320 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = 5*h - 3*h + 12, -2*h - r - 6 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 2*n + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 803086510?\nAnswer: 2, 5, 193, 416107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 + 1 - 1. Let j(b) = b + 15. Let h be j(-13). Let d(k) = h*k - 3*k - 5*k. What is n(d(t))?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 88702079 and 88702087 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3685091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 52282790815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6169035*d**3*y - 2*d**2*y + 30930*d*y - 3*d + y + 1 wrt d?\nAnswer: 37014210*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*y = -79*y + 306. Calculate the remainder when y is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46\/248 + (-4)\/(-26) + (-4095)\/10140\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 4, -3*u + v = -354 - 6616. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1045934 is divided by 50.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -8 - ((2 - -5) + -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rfrrbrbgg. Give prob of sequence bgrg.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (6*-2*sqrt(280)*2)\/(sqrt(90) + ((sqrt(90) - (sqrt(90) + sqrt(90) + (-3*sqrt(90) - sqrt(90))))*-2 - sqrt(90))).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*r, 3*r - 1 = -3*t - 7. Suppose 4*y - 259 = 2*z - 3*z, -t*z = 5*y - 322. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 s, 1 w, and 1 o when four letters picked without replacement from ssessssessssow.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -24?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, i: 2, p: 1, j: 2, q: 1, s: 1}. Give prob of sequence sz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g + 1. Suppose -14*z = -9*z - 15. Determine h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 + 7*o**2 + 18*o + 23. Give b(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 5*h = 0, -3*h = -2*i + 2*h - 12. Let u be (-6 - 0)*(-584)\/12. Suppose -u = -5*v - 42. Solve 5 = -3*n - 4*a, n + i*n - 5*a = v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 10508 = -10508 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -121*w - 135 + 76 + 11*w**2 + 69 + w**3 - 11*w**2 to the form b*w + c*w**3 + y*w**2 + o and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 4*h + 12 = 0, 5*a + 6 = -3*h + h. Let k(j) = 0 + a*j + 2*j + 0. Let b(n) be the third derivative of -n**5\/6 - 235*n**2. Give b(k(o)).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = x - 0*x, -4*g - 5*x + 349 = 0. What is the remainder when g is divided by 165\/30*(0 - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1148*p = 1165*p + 136 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -72858, -74312, -75766?\nAnswer: -77220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-12) - -1 - (-9376)\/24?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4411 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/4)\/(39\/(-208)). Let w = x - 3. Sort -1, w, -12.\nAnswer: -12, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/62478 and 81\/988078.\nAnswer: 26678106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 324, 300, 278, 258, 240, 224, 210?\n\"Answer: r**2 - 27*r + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t - 2*t + t**3 + (9*t + 12 - 12)*(1 - t + 1 - 2*t)*(9*t + 11*t - 10*t).\nAnswer: -269*t**3 + 180*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/2665857 and -59\/981?\nAnswer: 871735239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.5 - 5.5. Let l = 200.97 - 204. Let w = l + 0.03. Which is the second smallest value?  (a) w  (b) -16  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**19*d**(-2\/29)*(d*d**(-4\/17)*d)\/(d*d**(-18)) assuming d is positive.\nAnswer: d**(18584\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.84 + -48.84. Let w = -48.08 - m. What is the third biggest value in -2, -3, 0.2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 6*d - 8*d + 21*d in the form o*d + b and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 447 minutes before 1:07 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 238639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -10*v. Let q be b(2). Let u = 55 + q. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 304905?\nAnswer: -4\/304905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1612974 by -2.\nAnswer: -806487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -438737 < -438736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2580298450 to the power of 1\/2, to the nearest integer?\nAnswer: 50797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((4 + sqrt(33)\/sqrt(3))**2 + 3 - -2*(-1 + sqrt(704))).\nAnswer: 140 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 107415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 202011 + 0.2?\nAnswer: 202011.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 + 0)\/((-1)\/(-3)). Suppose -44 = -2*v + r*c, -5*v - 3*c + 5*c = -110. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-5)\/(15\/6) - -40 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (1 + 4 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 24 = -3*z, 390*z - 39 = 394*z + 5*l for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -243*h**2 + 5*h - 5. Let n(y) = -1216*y**2 + 24*y - 24. What is -24*d(r) + 5*n(r)?\nAnswer: -248*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*p - 976 - 128. Let c = p + 179. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 4, 25.\nAnswer: -6, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-10))\/(2\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 325 + -143. What is the greatest common divisor of g and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 15*p - 355. What is the remainder when 397 is divided by z(25)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) 135  (c) -1\/4  (d) 39  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 4*b + 36, -2 = n - 5. Let i(x) = -x**2 - 7*x - 4. Calculate i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3881 (base 13) to base 9.\nAnswer: -12032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -1, 5, 663 in descending order.\nAnswer: 663, 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 106903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1368)\/(-280)*(2 - (-12)\/9). Which is greater: 15 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1566907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*o - 2*o + 40*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of k**2*v - 49771*k**2 + 19*k*v - 8100024*v wrt k?\nAnswer: 2*k*v - 99542*k + 19*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {t: 3, f: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**2 - 5*k + 11*k**4 - 15*k**4 + 2*k**3 - 23*k**4 + 12*k**2 - 17*k**2 in the form a + g*k**4 + n*k + i*k**2 + x*k**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - (2 + 0) - -706. Let t be (-927)\/z - 1*-2. Let p = 4\/47 - t. What is the third biggest value in p, -3\/4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v**2 + 4*v - 3. Let d be (-11 - -10)\/((-1)\/(-65)). Let t = 68 + d. Does 18 divide w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**2 + 80*v - 4608 = 0.\nAnswer: -72, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14890566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7761*b**3*f**3 + b**2*f**3 + 2*b**2*f**2 - 882*b*f**3 wrt b?\nAnswer: -46566*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/15  (b) -1\/3  (c) 2.2  (d) -4  (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1121201202 (base 3) in base 8?\nAnswer: -76210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**4\/2 + 3*d**3 - d**2\/2 - 12*d - 8 = 0. What is d?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30069 by 6.\nAnswer: 10023\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k + 2. Give u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1302 and 1488?\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 3054373\nAnswer: -5\/3054373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + -11. Suppose 2*d + 3*d = h. What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45 (base 7) to base 12.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 879174 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of 3*o**2 + 1\/30*o**3 - 1\/840*o**8 - 1\/150*o**5 - 1\/60*o**4 + 0*o + 0 + 1\/150*o**6 + 1\/1050*o**7. Find w such that l(w) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -60 + z**2 + 31 + 6*z + 34. Let l be -4*((-165)\/(-12))\/(-5). Let s = 7 - l. Give i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 985.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 3*k - 6. Let o be l(2). Suppose -2*f = -o*f - 28. Let x(j) = -j**3 - 5*j**2 - 3*j - 1. Calculate the remainder when x(-6) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -3*w - 323. Let y(v) = 6*v + 638. Determine -5*i(a) - 3*y(a).\nAnswer: -3*a - 299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0663807 to 3 decimal places.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8060 = 15*y - 2*y. Let l = -615 - y. Solve -7*s = -l + 33 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 + 17*t + 7. Let r(a) = 2*a**2 + 33*a + 15. Let n(j) = -11*q(j) + 6*r(j). Calculate n(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2312*u**2 - 15*u - 1363. Let t(v) = -576*v**2 - 4*v - 341. Let a(f) = -4*h(f) + 15*t(f). Differentiate a(c) with respect to c.\nAnswer: 1216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 43*x**2 + 41*x - 127. What is r(42)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1200, 1199, 1202, 1209, 1220?\n\"Answer: 2*a**2 - 7*a + 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmvvmmvmmmmmmmmvvm. What is prob of picking 4 m?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(176) + ((2 + sqrt(176) - sqrt(176)) + sqrt(176) + -4 - sqrt(176))**2 - (3*(sqrt(11) - -3*sqrt(11)*1))**2.\nAnswer: -1580 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1670\/50 - 33 - 2\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 368199459.\nAnswer: 3, 13637017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 876716544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 5.9  (b) 5  (c) 9\/4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18006 is divided by 5965?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - 35*y**2 + 68*y + 33. Let r be 264\/(-4)*2\/(-4). Does 11 divide p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -24876, -49755, -74632, -99507?\n\"Answer: a**2 - 24882*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 419041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (12 + 0)*(-76)\/(-6). Let d be 45\/15 + -1 + 268. Suppose -n = -2*a + d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 + -174\nAnswer: -174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -6*d + 39. Suppose -3*n + 9 = -2*c - c, -2*c + 22 = 5*n. Let b(i) = 38*i - 2. What is the remainder when b(c) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12 + (-4)\/(-12)*21. Calculate the highest common divisor of x and 1596.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 AM and 8:28 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1701889.\nAnswer: 7, 37, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvb. What is prob of picking 4 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 460 and 3590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 5\/86 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 - 11\/((-99)\/(-36)). What is the derivative of 259 - j - 29*j**2 + 59*j**d - 31*j**2 wrt j?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5235 - 312?\nAnswer: 4723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 4*j**2 + 6*j + 2. Let t be y(-5). Let o = 23030 + -23030.1. Let z = -1.5 - -1. What is the smallest value in z, -5, o, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -490*k - 14590. Determine n(-30).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.773 - -0.6888. Let y = -0.5232 - x. Round y to two decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 - 15. Solve 0*v + s = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 - 3*w**2 + 4*w**2)*(-w + 0 + 0) + 3*w**2 - 3*w**2 + 2*w**3 - 12443 - w**3 + 3*w**3 + 11764.\nAnswer: 3*w**3 - 679","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 11:01 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15330 and 38325.\nAnswer: 76650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4488 is divided by 1054.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n**2 + 37*n + 33. Is q(10) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 508, 5, 3066 in increasing order.\nAnswer: 5, 508, 3066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 118788751 not equal to 118788752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -332 or -333?\nAnswer: -333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 3*w - 1. Determine t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(128))*1)**2*-3 + 2 + sqrt(2)*2 + -2*(2*sqrt(2))**2 + ((sqrt(176)\/sqrt(32))\/sqrt(11))**2.\nAnswer: -795\/2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*z + 8 = 0, 0 = 4*h - 2*h - 5*z + 20. Let m be 8\/1*(1 - h). Let s = m + -6. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + (4 - 10) - -3) + 0 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 7 - 1. Let f be 3\/m*12\/(-9). Suppose -3*u + 1 - 4 = -4*b, f*u - b - 3 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2208557613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 16 = -4*m + 2*m, 5*m + 10 = 4*b. Suppose 3*y - 84 = -3*y. Solve c - y = 2*c + b*l, c = 3*l + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 176 + -175. Let v(x) be the second derivative of 7*x**3\/3 - x**2\/2 - x. Give v(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5289 times -1?\nAnswer: 5289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -2*h. Let b be 3\/2*56\/(-21). Let a(k) = -k. Let s(p) = -2*p. Let r(m) = b*a(m) + 3*s(m). Calculate r(w(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d = -4*d - 140. Let o = d + -15. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, -284\/143, -8?\nAnswer: -284\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9987 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 444695558, 889391118, 1334086678?\nAnswer: 1778782238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 9*o = 13*o - 4870, 2*o + 12127 = 5*f. Calculate the remainder when f is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -184022, 40 in increasing order.\nAnswer: -184022, -4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from sssswwwsswsssssssss?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 3:41 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lltllttlltltttbttttl. What is prob of sequence lttl?\nAnswer: 154\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 164973894 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2987946, 2987941, 2987936, 2987931?\nAnswer: 2987926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -920, -1802, -2682, -3560?\nAnswer: -4436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -4*k. Suppose 2*s + s = 0. Let d(m) = s*m + m + m. Give d(y(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4 = -0*l. Suppose 5*y = -10*w + 260, -w - 16*y + 61 = -12*y. Calculate the remainder when (-7)\/(-28) - (-911)\/l is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -210139, -420272, -630397, -840514, -1050623, -1260724, -1470817?\n\"Answer: 4*k**2 - 210145*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 624 and 24076?\nAnswer: 288912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 - 5*l**2 - 5*l. Let w be x(6). Suppose 0 = 6*n - 0 + w. Which is the nearest to 1?  (a) n  (b) 2  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*k**2 + 919450 - 919456 - 5*k + k to the form z*k + n*k**2 + f and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(117)*-2 - sqrt(117)) + sqrt(117) - sqrt(117))*2 - -1*sqrt(117)*4*5)\/(6*(sqrt(1089) + sqrt(1089)*2*-2 + sqrt(1089))*-3).\nAnswer: -sqrt(13)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 4) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 48788.397 minutes?\nAnswer: 4.84011875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 13*l + 12 = 0. Solve -l*v = -10*v + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-144)\/(-135)*2475\/(-2200).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of -5*k**4\/8 - 2*k**3\/3 + 2*k**2 + 1599. Let p(v) = 4*v + 1. Determine -2*d(s) - 9*p(s).\nAnswer: -6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (120 - 105) + (-11 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1306570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4129 - 4128.999994007. Round n to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 + (-35)\/(-10))*(-2 + 80). Suppose -2*i = -r - 105. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 e, and 2 g when four letters picked without replacement from {g: 2, p: 1, t: 2, e: 1, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k - 10. Let v be g(-6). Suppose 4*w = -2*a + 40, 3*a + 4 = w + v*a. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j**2 - 25832105*j + 143332611.\nAnswer: -4*j - 25832105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6144\/(-3328))\/(12\/(-39)). Factor -52\/9*y + 2\/9*y**2 - k.\nAnswer: 2*(y - 27)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*c - 13*c + 2210 = 2*m, 0 = 5*m + c - 5498. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 3, 5, -22, -295 in ascending order.\nAnswer: -295, -22, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.09?  (a) 0.5  (b) -29  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*a + 27*a - 39*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 6847655688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -463186426*x**2 - 137347168*x wrt x?\nAnswer: -926372852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00098835 to five decimal places.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -102, -1, -27.\nAnswer: -102, -27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1712\/9 + -190. What is the biggest value in b, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51474 is divided by 1043?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - 1. Let r(w) be the first derivative of 1\/2*w**2 - 57 + w**3 + 3*w. Determine 4*r(n) + 10*v(n).\nAnswer: 2*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllllullluul. What is prob of sequence ullu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*y = -3579, 13*y = 9*y - 12. Does 37 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -189*d**2 + 205*d**2 - 25434*d + 25434*d.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 3*y**2 - 19*y + 37. Let h be n(8). What is the second derivative of -9*z**4 + 12*z**4 - 11*z**4 + 3*z**5 + h*z - 21*z**4 wrt z?\nAnswer: 60*z**3 - 348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -203661400 * 4.\nAnswer: -814645600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4463*r - 4459*r - 4461*r + 13382*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-80)*-5)\/(-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 169*v - 167*v - 1226, 3065 = 5*v + q. What is the least common multiple of v and 5?\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 16 - 28 = -3*d, d - 33 = -3*o. What is the greatest common divisor of d and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3736, 7560, 11528, 15640, 19896?\n\"Answer: 72*w**2 + 3608*w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20979206.99366 + 20978882. Let z = -325 - l. What is z rounded to 4 dps?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2\/7, 0.22, -2\/17, -2, 1.9 in descending order.\nAnswer: 2, 1.9, 0.22, -2\/17, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-8) + (-187)\/(-44). Suppose -p - j*p = 0. Suppose 3*d - 6*d + 249 = p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yzdz. Give prob of sequence zz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 10) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 minus -0.094?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3, 4, -7, -36, -89, -172, -291?\n\"Answer: -q**3 + 8*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g**2 - 1 + g - 9*g**3 + 8*g**3 + 5*g**2. Give q(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.024311 * 0.0992\nAnswer: -0.0024116512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 312089 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.099972 + -1.1. What is c rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -36, -0.4, -1\/7 in increasing order.\nAnswer: -36, -0.4, -1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -34320161\nAnswer: 5\/34320161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*q + 56 = -29*q. Let u be ((-60)\/q)\/(6\/(-4)). Is -12 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -212 (base 4) in base 12?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1156714223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/4))**(-40)\/((w*w**6*w)\/w**3)*((w**(-1)\/w)**(-8\/5))**(-4) assuming w is positive.\nAnswer: w**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = v + 2*z, 0 = -5*v + 5*z + 35 - 10. Suppose n - 2*n = x + 3, -v*x + 2*n = 22. Let a(s) = s - 2. Let u be a(x). Let t(q) = q + 11. What is t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82006 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of -1594*r**5\/5 - r**4\/4 - 1274*r**2 + 837. What is the second derivative of v(y) wrt y?\nAnswer: -19128*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*f + 11*f + 16, -13 = -5*s - 3*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 153879 is divided by 211?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 2*l = 17, -3*l + 15 = 4*f + 2*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + 3*y**2 - y**2 - 6 - 11*y**2 + 0 - 9*y. Let p(v) = -v**3 + 6*v**2 + v + 4. Let h be p(6). Calculate the remainder when t(h) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 41 and 256.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 426 - 419. Let g = 46 + -26. Calculate the remainder when g is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 5 + 3)*(2*k + k + 0*k + (2 + 3 - 6)*(-2*k + 2 - 2) + (-3 - k + 3)*(-3 + 1 + 3)) to the form v + p*k and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1438*b**2 + 362*b**2 + 357*b**2 + 361*b**2 + 359*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 7*u**2 - 21*u - 21. Let l(a) = a + 1. Let k be (-4)\/(-12) - 4\/3. Let q(d) = k*f(d) - 21*l(d). Let x(p) = -p**2. Determine q(x(o)).\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.0876  (b) 4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(133)*2 - sqrt(133))\/(sqrt(14)\/(sqrt(10)\/sqrt(5)) + sqrt(7)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -14 + (-5 - (-2 + 5) - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*1*8\/20. What is the nearest to -1\/2 in -2, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.4?  (a) -3\/7  (b) -0.748  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 2374 + 1701 = 0. Let b be (-296)\/(-10) - 4\/(-10). Suppose -5*z = s - b. What is z rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*s - 13*s = -214737. List the prime factors of s.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 9}. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -666 + 450 = -24*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2143577 is divided by 1165.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 5) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5364*b = -5377*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*q + 4914 = 359*q + 126*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 + 9*s - 2*s - 5*s + 4*s**2 + 7. Determine y(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -1588*v - 14302. Calculate k(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64.3 - 80. Let u = 17.7 + o. Put -2, u, 26 in descending order.\nAnswer: 26, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 16 = -9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmpln. What is prob of sequence ln?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eiie when four letters picked without replacement from {e: 4, i: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -30\/7, -13 in increasing order.\nAnswer: -13, -30\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26 - -100\/3. Which is smaller: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-10))\/((-10)\/(-50)). Is -11 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 274 = 60*v + 214. Let p = 31 + -44. Let q = -9 - p. Solve 15 = -q*k - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - 1)*(0 - 1). Let w be 15\/(-5)*5\/(-1). Let l = w - 7. Solve q*a - 2*a = l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.05 * 111734.\nAnswer: -117320.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4963?\nAnswer: 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/6 bigger than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppsn when four letters picked without replacement from wsnnpssrnnmprps.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 110 + 114 + 114 - 341 + 3*t**2.\nAnswer: 3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*q - 21*q - 3*q + 1104635. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 7 = 3*i. Suppose i*n - 65 = -3*n. Let c(p) = -23*p**3 - p - 1. Calculate the remainder when c(-1) is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62 and 2445938.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 385 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*(v\/v**4)\/v)**(-42))**(2\/75) assuming v is positive.\nAnswer: v**(84\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0513, -1, 35, -0.3.\nAnswer: -1, -0.3, -0.0513, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - 2) + 5\/((-195)\/(-481))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -54 and 0.03?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -151  (b) 90  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q - 72. Let l(t) = -117769*t**2. Calculate m(l(p)).\nAnswer: 117769*p**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zxx when three letters picked without replacement from xxxauxbxuxxxzwwbxu?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 8*n - 8539 = 3*n, -4*n - 4276 = -2*i. What is the greatest common factor of 36 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/4)\/(10\/(-20))*-2. Let v be b\/(-6) - (-2)\/((-108)\/(-387)). Solve -v*f = -10*f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, 3489, -15 in ascending order.\nAnswer: -15, 2, 5, 3489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1771 in -0.5, -0.04, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 930521, 930220, 929717, 929012?\n\"Answer: -101*q**2 + 2*q + 930620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (33*i**3 + 18*i**3 - 10*i**3)*(-5*i - i + i) in the form j*i**2 + v + t*i**3 + s*i**4 + p*i and give s.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m*m**(2\/7))\/m))\/m*m\/(m*m\/(m\/(((m\/(m*(m\/(m\/m**(-1)))\/m)*m)\/m)\/m))*m*m)*(((m*m**(5\/4))\/m)\/m)\/m*m**(1\/3) assuming m is positive.\nAnswer: m**(-311\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k + 4*k + 89*k**2 + k + 73*k**2 + k - 3*k.\nAnswer: 162*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2088 + -2059. Solve -2*g + 5*b - x = 0, 0 = -64*g + 61*g + 5*b - 31 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -4248 - 312. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 5*m - 3*m = 44, 4*v = m - 62. Let j(c) = c**3 + 15*c**2 - 16*c - 16. What is j(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a. Let m(s) = -28732041*s**2. Determine m(k(z)).\nAnswer: -28732041*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32*g + 112*g - 954*g + 0*g + 0*g - 3*g + (2*g + 4*g - 5*g)*(0 - 4 + 5) - 2 + 2 - 3*g + 2*g - 2*g - g to m + q*g and give q.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 96\/48*(-4 - 33\/(-8)). Determine u, given that -3\/4*u + f*u**2 + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-4)*n**(3\/4))\/(n*n\/(n\/((n*n**(2\/9)*n)\/n)))**(1\/16)*((n*n**6)\/n*n**4*n*n)\/((n*n**(-6))\/n**(-7)) assuming n is positive.\nAnswer: n**(119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 684 (base 13) in base 14?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-6.5.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34813839 divided by -2.\nAnswer: -34813839\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - m**2 - 106*m - 268. Let t be f(-8). Let u(j) be the third derivative of 0*j + 5*j**2 + 0 + 1\/8*j**t + 1\/3*j**3. Calculate u(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08083 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 118558, 237119, 355680?\nAnswer: 474241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6555 by 6824.\nAnswer: -6555\/6824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 34*v - 3. Calculate z(-2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -0.2, 14\/69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 55 = 5*q, -13*t + 14*t = 7*q + 44 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o**(8\/3)*o))\/o*o)\/((o*o**(-24)*o)\/o) assuming o is positive.\nAnswer: o**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -180772, -180768, -180758, -180742, -180720, -180692, -180658?\nAnswer: -180618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 926043 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 AM and 6:24 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/19, -70, 0, 2\/7, -4 in decreasing order.\nAnswer: 2\/7, 1\/19, 0, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -213*y + 140. Give f(2).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 + 4*l - 8. Let b be a(-12). Let j = b - 26. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*1*(1 + sqrt(171) + sqrt(171)) - (-3 + 1*(sqrt(171) + sqrt(171)*-1)))**2.\nAnswer: 48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3567006503655 + 1.1?\nAnswer: 3567006503656.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4295 - -4503. Calculate the highest common factor of b and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42 and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6\/11, -167, 10\/7, 0.6, -3\/2?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-8)*1\/2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -16907 and -16919 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b - 28. Let s(t) be the second derivative of 30*t + 0*t**2 + 0*t**3 + 0 - 1\/12*t**4. Calculate s(p(c)).\nAnswer: -4*c**2 + 112*c - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1204 - 1228. Let c be 0 - (-2)\/(-12)*4. What is the third biggest value in v, 0.2, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 - z. Let k be j(0). Find the third derivative of 5*t**2 + 0*t**4 - 2*t**2 + k*t**4 + t**6 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5248.3 plus 0.2?\nAnswer: -5248.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -7*c. Suppose 3*l + 2*d + 5 = c, -3*d = 4*l - l + 9. Calculate the least common multiple of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -b - 45 - b + 169 + 58 + 902 as d + n*b and give d.\nAnswer: 1084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -11. Let d = 7 - 9. Let b be d\/(-10) + 9\/(-15). What is the nearest to -1 in c, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 - (-90 - -24) - 6 - 35.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2466, 1, -0.2, 4\/7, -5\/2 in ascending order.\nAnswer: -5\/2, -0.2, 4\/7, 1, 2466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-1)*3\/6*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -148.1 + 0.5\nAnswer: -147.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17.4 + 13.46. Let j = -3.6 - s. Let x = j - -0.2. What is x rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((v*v**(-2\/7))\/v)\/v**0)\/(((v\/(v\/(v**(-3\/7)*v)))\/v*v)\/(v*v**5*v)))**(-14))**14 assuming v is positive.\nAnswer: v**(-1204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 1505*h + 464*h**2 + 198*h**2 + 5*h**3 + 12*h**2 - 1105 - 1510*h + 431*h**2 = 0.\nAnswer: -221, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.1 + 4. Let k(o) = -o**2 - 4*o. Suppose 0*x + 6 = -3*x. Let i be k(x). Which is the smallest value?  (a) s  (b) -2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 t when three letters picked without replacement from biaabbtbb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*d - 5*h, -4*d - 18 - 2 = 5*h. Suppose d = 3*p - t + 98, 3*t + 0 = 6. Let o = -23 - p. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18055 divided by 3611.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -977 and 11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -2*x - 20. Suppose 12 + 12 = q - 5*w, -21 = -q + 4*w. Suppose 3*s = q*s - 18. Sort s, x, -1.\nAnswer: -1, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 3*j + 821, -2*j + 12*w = 10*w + 510. Is j at least as big as -245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 15) to base 6.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000348 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -31*f - 15. Let m(q) = -810*q - 2435. Let p be m(-3). Determine z(p).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 601\/2 - 301. Which is the nearest to 0.1?  (a) g  (b) -3\/2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-4) - (-7)\/4. Suppose -8*h + 518 = -122. Let c = h - 74. Solve -12 = f*b - c*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of 1\/10*l**6 + 27\/140*l**5 + 1\/14*l**4 + 14*l + 0 + 0*l**3 + 0*l**2. Solve n(q) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1032 = -s - 1034. Sort -3, 55, s in descending order.\nAnswer: 55, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1298 - -29?\nAnswer: -126c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 13*q - 36. What is the biggest value in q, 1\/2, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 54*k**2 - 94*k + 522. What is h(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (222\/16)\/(((-117)\/(-208))\/((-12)\/16))\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -153*g + 148*g + 50, 2*h = 4*g - 14. Suppose 2*m = 5*a - 30, 4*a - a = -2*m + 34. Solve 0 = h*n - 12 - a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1256, 1255, 1254?\n\"Answer: -z + 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 87 + 87)*(x**2 - 2*x**2 + 3*x**2)*(-6 - 1208 - 1249 - 394).\nAnswer: -5714*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 141825 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 269 - -40?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 303 is divided by 137?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 25 - (-1 - 6570\/(-255))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -45\/286 + 94\/143. Put 5, j, -2, 0.1 in ascending order.\nAnswer: -2, 0.1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = l + 12, 0*l + 5*o = 3*l + 16. What is the common denominator of (-3)\/(-7)*l*-5 and 5\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -389 - 392 - 4*x + 1169 - 388 + 128*x**2 in the form o + v*x + p*x**2 and give p.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2559, -19667, -66145, -156693, -306011?\nAnswer: -528799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1936266 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -7665191, -15330395, -22995599, -30660803, -38326007?\n\"Answer: -7665204*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/1995627 and -151\/222108.\nAnswer: 662548164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5289258 or -5289207?\nAnswer: -5289207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -580, 447 in descending order.\nAnswer: 447, 3, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1752644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, j: 12, v: 1, y: 1, d: 1, c: 1}. What is prob of sequence qv?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r + 33*r + 45 = 0. What are the prime factors of -21*r*(-28)\/(-21)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g**2 - 135*g - 2088. Let s be i(-13). What is the fourth biggest value in 2, s, 18\/19, 4?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-154)\/378*9)\/((-5)\/15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 46, -44 in decreasing order.\nAnswer: 46, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1055 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, f: 1, t: 6, s: 1, j: 2}. Give prob of sequence twwt.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(136) - ((sqrt(136) - -2*sqrt(136))*2 + sqrt(136)))*-1)\/((sqrt(800) - (-1*sqrt(800) - sqrt(800))*-3)*4).\nAnswer: -3*sqrt(17)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16\/(-12)*(-3)\/(-2). Let x = 2 + f. Solve 3 = -b - x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139018818?\nAnswer: 2, 3, 31, 109, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2608831 + -2080169. Round f to the nearest one hundred thousand.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 5, -1\/23, -2.132, 0.1?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**9*a*a**(9\/4))\/((a\/(a\/(a\/(a*a**(-3)\/a*a))*a))\/a*(a\/((a*a**0)\/a))\/a) assuming a is positive.\nAnswer: a**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 6 = -i, -8*i + 5*i + 36 = 15*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -34 and 593058.\nAnswer: 593024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**33*o\/(o**(-3\/5)\/o))**(1\/18) assuming o is positive.\nAnswer: o**(61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -4*m**2. Let w(u) be the first derivative of -u**3 - 7714. Calculate 5*l(s) - 6*w(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 160545*n**5 + n**3*r - 58*n**2 - 20840437*n*r - 3*n wrt n?\nAnswer: 3210900*n**3 + 6*n*r - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5042 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*h + 0*h + 41*h)*(1 + 3 - 2)*(4*h - 3*h - 4*h) to x*h + i + f*h**2 and give f.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v + 68 = 4*g, -4*v - 1193*g = -1195*g - 14 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -160\/16419?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1085 + 59*c - 1193 - 8*c wrt c?\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 c when three letters picked without replacement from fffmcisllcic.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 4*i - 229 = 0, 2*f - 52 - 33 = -5*i. Suppose 0 = -5*r + 45 + f. Suppose -r = -2*h - 5*s, -2*s = -2*h + 3*s - 2. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of y**4\/12 + 2*y**3\/3 + 3*y**2 + 2*y. Let j be a(-4). Suppose -4*h + 41 = -k, -4*h + j*h + k = 25. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.094 - -4.294. Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4836.1841*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 46533419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/15 - 574*f\/15 - 776\/5.\nAnswer: 2*(f - 291)*(f + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 32\/55?\nAnswer: 32\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4375350?\nAnswer: 2, 3, 5, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c + 5*c + 3*q = -6645, c - 2221 = 3*q. Suppose 2*f - 4*o + 332 = c, 0 = 5*f + 4*o - 4686. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9829 - -9894. Calculate the greatest common divisor of 1833 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 5*b**3 - 19*b**2 + 33*b + 25. Let a(x) = -6*x**3 + 20*x**2 - 34*x - 26. Let o(f) = 6*a(f) + 7*z(f). Is o(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 6*z**2. Let a(p) = -7*p - 20. Let w(x) = -3*x - 8. Let d(q) = -2*a(q) + 5*w(q). Determine d(i(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1364.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 - 16. Let k(t) = t**2 - 2*t - 2. Let d(y) = i(y) - 6*k(y). Let l be d(2). Solve 3*v - 2*j - 5 = 0, -3*v + l*j + 2 = j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 - 19*l + 13. Determine c(16).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/72 and 7\/350352.\nAnswer: 350352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.731 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*p*v*y + p*y + 4*p + 14*v**2 - 2*v + 6*y wrt v?\nAnswer: -2*p*y + 28*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 939?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -570 = -15*v - 0*v. Calculate the highest common factor of 114 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of 2*i**2 + 13*i + 183. Let g(l) = l + 3. Let u(h) = h**3 + 1. Let b be u(-3). Calculate b*g(q) + 6*s(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 33250463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, h: 2, u: 1, z: 5}. What is prob of picking 1 e and 1 h?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 496715?\nAnswer: 5, 41, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/6*(2 + 2). What is the first derivative of l**4 + d*l**4 + 4 - l**4 wrt l?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - (-12)\/10) + 220\/550. Sort m, 3\/4, -1.\nAnswer: -1, m, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {u: 4, v: 1, j: 4, e: 2, n: 4, c: 4}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 116350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (59 + (-28 - 17) - (19 - 0)) + -21 - -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 14*v**2 + 0*v + 0 + 2\/35*v**7 + 0*v**6 + 0*v**5 + 5\/3*v**3 + 0*v**4. Differentiate p(o) wrt o.\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -632 + 944 = 104*o. Solve -o*d = 2*d + 30 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.7?  (a) -1244  (b) -5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 4*f + f**3 + 4118*f**2 - 7 + 3*f - 4126*f**2. Calculate x(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 16232 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-10)\/o*o)**(-8\/5)\/(o**(-3)\/(o**(2\/7)\/o)) assuming o is positive.\nAnswer: o**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((18309\/718)\/((-15)\/2))\/(2\/40).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13452 and 1887384?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 - 2)*(22 + 2 + 6)*(-4*m**3 + 0*m**3 - 2*m**3) as v*m**2 + k*m + y*m**3 + r and give y.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 2*q - 26 = 0, -4*u - 8 - 23 = -3*q. Let v = u - -3. Let p = 221\/4 + -55. Which is the second smallest value?  (a) v  (b) -5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 - 9*m. Let q be j(-7). Suppose -4*t + 160 = 3*a, 5*t + 10 = -2*a + 112. What is the greatest common divisor of q and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(34)\/sqrt(2))**2 + 1 + (sqrt(17)*-1 + -4 - sqrt(17)) + sqrt(17).\nAnswer: -sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7816 = 7*x - 843. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -158 + 4?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g - 49*g = -27*g + 252 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (12 - 58) + 2 + -10 + 5?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001003833464 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3810 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -67442, 2\/5, 4.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/((o*o**(-2\/31))\/o))*o**(-10\/11)*(o**(-15)*o)\/o**(-11))**30 assuming o is positive.\nAnswer: o**(-40650\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/((-84)\/(-8)) + 2\/3. Let x be (-15)\/(-1) - (d + -1). What is the greatest common divisor of x and 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -16, -0.5, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2326*r. Let d(f) = 3*f**2 + 5*f + 5. Let g(v) = -2*v**2 - 4*v - 4. Let a(s) = 4*d(s) + 5*g(s). Determine t(a(b)).\nAnswer: 4652*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 87, 279, 471, 663?\n\"Answer: 192*g - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 360 = -984. What is the highest common divisor of 320 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -472\/15 - -73\/10. Find the common denominator of 4\/(-6)*127\/(-4) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of d**4*l - 495*d**4 + 386*d**3*l - 2*d**3 - 8085*d**2*l + d**2 - 80*l wrt d?\nAnswer: 24*d*l - 11880*d + 2316*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -51.95 - -51.95. Sort c, -54, -12.\nAnswer: -54, -12, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-147)\/15 + 572\/110 + (-1)\/5.\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 153040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxuuuxuxxxuxxx.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - 118*z**2 + 118*z - 111. Let n be x(-119). Let o(w) be the third derivative of -w**5\/60 + w**4\/4 + 4*w**3\/3 - w**2. Determine o(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-2) - (1 - 2). Let p(h) = h**2 + h + 27. Let x be p(u). Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r**3 - 2*r**2 - r**3 + 0*r**3 - 3*r. Let p(g) = -12*g**2 + 60*g - 45. Let d be p(4). Give y(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-15)\/3)\/(2\/10). Let i = 25 + b. Find p, given that 0*p + 0*p**2 - 2\/11*p**3 + i = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.069*3.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*v - 230 = -223 - 407 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15159 + 1081. Let z be 10\/(((-152)\/m)\/19). Round z to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a6c4 - -5?\nAnswer: a6c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**6\/(q*q*q**(-1\/3))*(q**(2\/7))**(-39) assuming q is positive.\nAnswer: q**(-143\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**5 + 2*k**5 - k**5 + (-k**2 + 2*k - 2*k)*(-3 + 3 + 2*k**3).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -100 in increasing order.\nAnswer: -100, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5209 - 5197. Let j(x) be the second derivative of 0*x**4 + 0*x**3 + i*x**2 + 1\/3*x**6 + 0*x**5 - 39*x + 0. Find the first derivative of j(k) wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*y + 6*y - 4*z + 88, 0 = 4*y + 2*z - 88. Factor -19*j - 10*j**2 + 2 - 5*j**2 - y*j + 44*j + 1 + 9*j**3.\nAnswer: 3*(j - 1)**2*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 0 + sqrt(125).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-555 + 3 - 141 + 74)*(0 - w + 0)*(3*w**2 - w**2 + 3*w**2) in the form o + j*w**3 + p*w**2 + l*w and give j.\nAnswer: 3095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/(-2))\/(4 + 118\/(-28)). Is ((-6)\/7)\/(f\/((-2744)\/(-8))) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 347*i - 373*i = -1378. Calculate the remainder when 1059 is divided by i.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5075081.4 to the nearest ten thousand.\nAnswer: -5080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 331140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -4*a - 4, 2*a + 0*j = -5*j + 33. Suppose -a*d - 54 - 2 = 0. Let g = -3 - d. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 91*b**3 - 10*b**2 + 46*b + 11. Let h(k) = 18*k**3 - 2*k**2 + 9*k + 2. Determine -11*h(j) + 2*l(j).\nAnswer: -16*j**3 + 2*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2820 (base 12) to base 7\nAnswer: 16335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.832 - 205.332. Round v to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-7))\/(18\/(-3339)). Which is greater: j or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2046 is divided by 480?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 14480 (base 9) in base 2?\nAnswer: 10011010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -6  (b) 477  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 37*a + 39*a = 0. Let y(b) be the first derivative of 1\/2*b**4 + 0*b**2 + a*b + 7\/3*b**3 - 10. What is the third derivative of y(f) wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -61 + 86. Suppose 179 + 113 = 4*s. Calculate the remainder when s is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18.085 + -16.4677. Let d = s + -1.6. What is d rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 1474.6\nAnswer: 294.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(336)\/((sqrt(42)*-3)\/sqrt(6)) + 0)*-1.\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 181.331456 rounded to 0 dps?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (49*p**3 + 284*p - 284*p)*(1 - 2 - 4)*(2 - 7 - 7).\nAnswer: 2940*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 117474578\nAnswer: 117474568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (51\/12 - 5)*4686\/9. Is -390 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1126 + -1098. Calculate the remainder when 3190 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*r - 118*r = 634. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w**3 + 254960*w**2 - 4063297472*w + 16249110784 = 0.\nAnswer: 4, 31868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 9*s = -78. Suppose -s + 10 = g. What is the tens digit of -6*(2 + -4 + g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, -0.1, -2 in decreasing order.\nAnswer: -0.1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 6 = -6. Suppose a = 10*o - 7*o. Is o - -3 - 0 - -2*58 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the first derivative of 5*y**3\/3 + 5*y**2 + 192. Let u(a) = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 150 + -77. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -4*f**2. Let l(u) = 3*u. Calculate r(l(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*p**5 + 9969*p**4 - 2775*p**3 - 207249*p**2 + 211350*p - 11400 = 0. What is p?\nAnswer: -95, -5, 2\/35, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 4*c - 110, -r + 34 = 3*c - 1. Let t be 8\/16 + r\/4. Let m be 2\/t*(-10)\/(-8). What is the second smallest value in m, -1, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -7  (b) 5\/6  (c) 0.1  (d) -745  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4075 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 131001 by 1.\nAnswer: 131001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 53*o - 102 - 224*o - 4*o**3 + 4*o**3 + 3*o**3 - 96*o**2 - 30*o.\nAnswer: 3*(o - 34)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*d**2 + 736120*d + 33867040900 = 0. Calculate d.\nAnswer: -92015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41 + -11 + 17 + -29 + 17?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 8) + (-1 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 147*a + 8. Let f(k) = 737*k + 44. Let u(m) = -2*f(m) + 11*r(m). Let z(h) = 10*h**2. Determine z(u(o)).\nAnswer: 204490*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(68) - sqrt(68)*4) - (sqrt(68) + 3*sqrt(68)*3))\/(sqrt(4) + (sqrt(4) - ((sqrt(64)*2 - sqrt(64)) + sqrt(64))) + 4*sqrt(20)\/sqrt(5)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39038 is divided by 2346?\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-1420)\/84 - 15\/(-315)*-2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, x: 11}. What is prob of sequence xvx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -718, -1428, -2078, -2650, -3126, -3488?\nAnswer: -3718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/16999 - -49663\/11338333. Is 0 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 9:35 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*p**4 - 2*p**4 + 6*p**4 + (3 + 2*p - 3)*(1 + 32*p**3 - 27*p**3 + p - 2 + 2*p**2) in the form h + z*p + b*p**4 + o*p**3 + g*p**2 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2269\/5 + 453. Suppose 0 = -4*z - 2 - 2. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33*k**3 + 6*k**2 - 33*k**3 - 10*k**4 wrt k?\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of 1397*k**4\/12 - 335*k**3\/6 - 932*k. What is the second derivative of h(o) wrt o?\nAnswer: 2794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**3 - 10*m**2 + 6 + 2*m + m**3 + 6*m + 0*m**3.\nAnswer: -2*(m - 1)*(m + 3)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1071, -2, -24523, -4 in ascending order.\nAnswer: -24523, -4, -2, 1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*z - 8. What is the third derivative of -3*b**3 - 8*b**z - 3*b**2 - 10*b**3 - 2*b**3 wrt b?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-41 + 42 - (-246)\/(-250)). What is the tens digit of (-84)\/(-42)*q\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 160549 = 160567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -107\/10, -1\/30 in ascending order.\nAnswer: -107\/10, -4, -1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 2*p + b, -3*b = -3*p. Suppose 692 = 5*r + 5*h - 928, p = -5*h + 25. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f. Let z be n(-1). Suppose -3*j = 0, 5*w - 2*j - 1055 = z*j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 9*p**2 + 6*p - 6. Let b(c) = -9*c**2 - 5*c + 5. Calculate 6*b(z) + 5*f(z).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 82 + 18*r**4 + 2*r**2 - 5*r**4 - 72 - r as x*r**3 + a*r + w*r**2 + l*r**4 + o and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 167*f**3 - 15*f**2 + 29*f - 4. What are the prime factors of j(3)?\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -5. Suppose -3*r + 15 = -0. Let g(x) = r - 9 + 5 - x**2. Give g(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 885408.\nAnswer: 2, 3, 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -3*s**2. Let h(b) = -292*b. Determine h(p(f)).\nAnswer: 876*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2028 - -4518. What are the prime factors of b?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -1775*z - 2. Let h(t) = 18*t. Give a(h(g)).\nAnswer: -31950*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -h**9\/126 - h**5\/30 + h**2\/2 - h. Let g(r) be the first derivative of s(r). What is the third derivative of g(f) wrt f?\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 33*o**2 - 139*o + 4256. What is the thousands digit of s(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/15 - 292*b\/15 + 80.\nAnswer: -2*(b - 4)*(b + 150)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -44\/5, -1\/3, -1, -6931?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((-2*sqrt(126))\/sqrt(9))\/((sqrt(42)\/sqrt(3))\/sqrt(2)) - ((0 + sqrt(288) + 1 - sqrt(288)) + 5))*3)**2.\nAnswer: 216*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 84 and -17104813.\nAnswer: -17104729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -6*w - 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6290406 by 6.\nAnswer: 1048401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 722*a + 6776 = 726*a. Let y = -975 + a. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4940 and 466792?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 49*-0.101\nAnswer: -4.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k = 12012 - 202. Let a(b) = k*b**2 - 38 + 50 - 30*b + 117*b**2. Let q be a(14). Round q to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**9*p*p)\/p*p*p*p**(1\/4))\/((p\/(p\/(p**8*p)))\/(p*p**(-7\/3))))**(-7\/8) assuming p is positive.\nAnswer: p**(-161\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phpm. Give prob of sequence hp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288)*-2*-1*-5)\/((1*sqrt(96) + (sqrt(486) - ((sqrt(486) - (sqrt(486) + sqrt(486) + sqrt(486)*-1 + sqrt(486))) + sqrt(486))) + sqrt(486))*-2).\nAnswer: 10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.3, 1\/7, 3\/7 in decreasing order.\nAnswer: 3\/7, 0.3, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/233699 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -7  (b) 4  (c) 1  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 + 14. Let o = 20 - 19.15. Let t = -1.05 + o. Put u, t, 4 in ascending order.\nAnswer: t, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 64 + 85. Suppose -152*m + 1305000 = -a*m. Round m to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11209 or 18864?\nAnswer: 18864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3067, -6071, -9071, -12067, -15059, -18047, -21031?\nAnswer: -24011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 9*o - 7. Let y be g(-10). Factor 2*p**3 - 4*p**y + 19*p**2 - 40*p**2 + p**4 + 22*p**2.\nAnswer: p**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 104 and 560.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2 = p - 8*a, -4*p - 4*a + 68 = 0. What is the remainder when 68 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1359, 5165, 11451, 20181, 31319, 44829, 60675?\nAnswer: 78821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 63517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7, v: 3}. Give prob of sequence xx.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -82, -194, -308, -424, -542, -662?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = p - 0*p - 10, p = 0. Let l be r\/12*(6 - 7). Which is the nearest to 0?  (a) 0.3  (b) -4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4 + (sqrt(5) + sqrt(55)\/sqrt(99))**2.\nAnswer: 62\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.7 - -13. Sort 0.4, 2, f in increasing order.\nAnswer: f, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1568, 1565, 1560, 1553, 1544?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.328 - 178.328. Let q = 156 + n. Sort q, 0.5, -3, -0.3 in increasing order.\nAnswer: q, -3, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 123*c. Let s(u) = 49*u. Calculate 5*i(d) - 12*s(d).\nAnswer: 27*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -40283 to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4434 divided by -3\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together 57330 and 0.2028.\nAnswer: 57330.2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 107809 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -255, 2, 0.05, -0.3, 0.5 in descending order.\nAnswer: 2, 0.5, 0.05, -0.3, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -188 + 27. Let n = h + 265. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 3675*o**4 + 18373*o**3 - 51460*o**2 + 28*o = 0?\nAnswer: -7, 0, 2\/3675, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -25 + -3 + (-847)\/242*16\/(-14). Sort r, -4, 24.\nAnswer: r, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 0*x + 5*x = 20, 3*s - 4*x = -9. Sort 3, s, 4, -3 in decreasing order.\nAnswer: 4, 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*k*v**2 + 4286*k + 176*v wrt v.\nAnswer: -4*k*v + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -23580396791\nAnswer: -23580396794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 12.3 times -0.03\nAnswer: -0.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -794 + 1?\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-1\/4)*i)\/(((i\/(i\/(((i**(1\/4)*i)\/i)\/i)))\/i)\/i*i) assuming i is positive.\nAnswer: i**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k**2 - 54*k. Let s(a) be the first derivative of 3*a**2 + 834. Calculate v(s(c)).\nAnswer: -72*c**2 - 324*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-9)\/24)\/((-6)\/48). Suppose -d*i + 10*s - 6*s + 886 = 0, 5*i = 4*s + 1466. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1980 by 110.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-19)\/4*2\/1. Let j = o + 11. Which is the closest to j?  (a) 3\/5  (b) 0  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -118, -499, -1150, -2077, -3286, -4783, -6574?\n\"Answer: -n**3 - 129*n**2 + 13*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144 = 1185*y + 1175*y - 2384*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 4 = 3*r, i - 8 = r - i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2175264 divided by -155376?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, -0.2, 183\/10, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 109*f - 3 - 2*f**2 + f**2 - 11 - 228*f + 107*f. Give v(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zxq when three letters picked without replacement from xxxreqeqxeezqqqx.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -844 + 859. What is the remainder when 989 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 731.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -422212043 (base 5) to base 6\nAnswer: -101354540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7*(3 + -5)\/(-2). Let x = k - 5. Calculate the greatest common factor of 22 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5110083 to the nearest integer?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 32*o + 30*o + 30*o + 27*o - 121*o. Let k(p) = 53*p**2 - 5*p. Determine q(k(y)).\nAnswer: -106*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -3. Let d = 4 + r. Calculate the greatest common factor of 16 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 969208 is divided by 70.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/7  (b) -2\/15  (c) 2  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*x - 57*x - 817 = -64*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -5*u + 1, 53*u + 4*v = 54*u - 7. What is the closest to u in 279, -1, -3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 252 and 20?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/(c*c\/(c**(-2\/23)\/c)))*(c\/c**3)\/c*c*((c\/(c*c\/(c**(1\/6)*c)))\/c)\/c**(-9))**(-5) assuming c is positive.\nAnswer: c**(-6385\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*y**2 + 534*y**3 + 51*y**2 + 55*y**2 - 531*y**3 - 158*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52947 divided by 27.\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 0.7  (c) -0.2  (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.09 and -25.4?\nAnswer: 25.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -777\/4  (b) -2  (c) 6823\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -14 + (230 - 186)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 61.9 + -62.4. Let h be (-44)\/10 - (-4)\/10. Which is the nearest to w?  (a) 3\/2  (b) h  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - 3\/((-9)\/12). Suppose 47 = 4*o + l, 0 = f*o - 7*o - 2*l + 17. What is the remainder when o is divided by (-8)\/(-14) + 34\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1005\/(-6))\/(-14 - 4275\/(-306))?\nAnswer: 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1407 and 8241.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 PM and 4:43 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*q**3 + 9 - 9.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 857 + 3?\nAnswer: 85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**3 - 1032*k**2 - 57249*k + 245700 = 0. Calculate k.\nAnswer: -273, -75, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**2\/9 - 18*l - 100 = 0. What is l?\nAnswer: -75, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 18. Let b be y(-4). Determine t, given that 5*t**4 - 16*t + 3*t**4 - 16*t**b - 4*t**4 + 4*t**3 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -5.762.\nAnswer: 1.1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 8*s - 5. Suppose 0*l - 3*l = 0. Is l equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5490906 to two decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 111 - 9. Let d be ((-4)\/6)\/(a\/(-15)). Is -0.1 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4650355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1938 + 2?\nAnswer: 193a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -735 by -4.\nAnswer: 735\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 88*l + 65. Let b be s(3). Let f = b - 81. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**12*((o\/o**(-3))\/o)\/o)\/(o**2)**(-43) assuming o is positive.\nAnswer: o**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39389, -39387, -39385, -39383, -39381, -39379?\nAnswer: -39377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*k + 6. Solve -13 = -k*p + 2, 5*p = -5*q + 50 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2169503348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 2\/15, -3\/20, -48499, 3\/8, 5, -0.3, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + 1)\/((-9)\/3). Suppose 6 = 5*t - 3*y - j*y, 4*t + 2*y - 18 = 0. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6697 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oobooobbbbobbbbo. Give prob of sequence ooob.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 AM and 11:07 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 1\/647  (b) -5  (c) 55  (d) -1  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -9*k**2 - 3*k - 5. Suppose -84 + 343 - 139 = -20*q. Let p(t) = t**2 + t + 1. Determine q*p(u) - r(u).\nAnswer: 3*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*a**3 + 24*a**2 - 24*a**2.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 g when three letters picked without replacement from eqgeeerrgererrlgq.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/570 + 3\/95. Let t(h) be the third derivative of -h**2 + 0*h + 0*h**4 + 1\/3*h**3 - y*h**5 + 0. Differentiate t(l) wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5 and 3376576.\nAnswer: 3376571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -11*g + 27. Let p(w) = -14*w + 28. Determine -6*n(m) + 5*p(m).\nAnswer: -4*m - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -172 in -3, 0, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -9*f - 37. Calculate s(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21677.44 weeks in microseconds?\nAnswer: 13110515712000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 4*n + 4. Give x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (3*(-5)\/285)\/(1\/2)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-24)*(-6)\/15)\/(13\/65).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2157 - -2158. Which is the fifth biggest value?  (a) v  (b) 0.8  (c) 3  (d) 2  (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out -623.47 * -2889.\nAnswer: 1801204.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4\/3 + 4*w**3\/3 - w**2 - 4*w\/3 + 4\/3.\nAnswer: -(w - 2)**2*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 625655 is divided by 208547?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -72943, -145985, -218957, -291865, -364715, -437513?\nAnswer: -510265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1791451009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -3768*o. Let i(y) = 4*y**2 + 55*y. Give i(v(p)).\nAnswer: 56791296*p**2 - 207240*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 213 - 22. Let n = -66 + o. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -16*t**2 - 4311*t - 1221. Determine a(-269).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -58 + 111. Let k = n + -43. What is the closest to -1\/3 in 4\/7, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -23*x**2 + 105*x + 40. What is t(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 - 12. Which is the nearest to -4?  (a) n  (b) 0  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.5 in 0.01, -1, 17?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 197667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2. Let t(z) = 68*z + 28. What is -t(u) + 12*y(u)?\nAnswer: -68*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -21160.5125 from 19.67.\nAnswer: 21180.1825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46, 171, 378, 667?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*n - 2. Is -4 - (n + (-66 - -2)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 338, 374, 434, 518, 626?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 154732 - 15?\nAnswer: 154716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i + 7. Give m(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -13*(-9)\/(-9) + 8704\/1360\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 33240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 94.\nAnswer: -3\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 7685*r**2 - 47*r + 51. Is 104 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*p - 4*p + 23*p + 232 + 9*p.\nAnswer: -3*p + 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34*y**3*z**2 + 1907*y**3*z + 933655*y**2*z**3 - 36843*z wrt z?\nAnswer: 68*y**3 + 5601930*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 50767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -2022?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 5 + 25 = 0. Let m be 3\/18*(-6)\/y. What is the closest to 1 in m, -0.5, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*u + 19*u = 31*u + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 4 + -1 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7179161 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3963 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -58\/249 and -4\/4565.\nAnswer: 13695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10 - -14) + 25 - 1. Suppose 239 = 2*w - 3*c, -w = 2*w + c - 331. Calculate the highest common divisor of z and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7054356 + 158*s - 7054356 - 5*s - s**2 + 441*s.\nAnswer: -s**2 + 594*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3128707 (base 9) to base 14\nAnswer: -31792c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*u + 20*u - 13*u + 569 - 2251 to h*u + l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u. Let i(b) = -3*b + 1 + 6*b + b + 2*b. Let w(n) = -i(n) + 4*y(n). What is w(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 107, -1\/2, -145.\nAnswer: -145, -1\/2, 0, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 13\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53 + 18*m**2 - 86 + 218*m**3 + 139 - 220*m**3.\nAnswer: -2*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 4 = 0, u - 2*d - 8 = 3*d. Suppose 3*z + 3*r = 122 - 533, z = -u*r - 129. Which is bigger: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 428 divide 713670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1188 and 146022264?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 28 = 4*f, 4*w + 3*f - 32 = -w. Suppose -9*l + 20 = -w*l. Suppose -6*h + 12 = 2*v - 2*h, -l*h = 4*v - 24. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 446980035927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 16116 = 4*b, -b - 269 = 2*q - 8330. Suppose -q = 2*n + 7746. Let z = 11189 + n. What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 6:19 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*s**2 - 5*s + 18*s**2 - 27*s**2)*(-s - 2*s + 5*s)*(-1 + 2*s + 1).\nAnswer: 16*s**4 - 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1988670741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, r: 13, d: 3, h: 1, k: 2}. What is prob of picking 3 r and 1 h?\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 107  (b) 0.5  (c) -2\/9  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -89, -80, -71?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/23?  (a) -9.4  (b) 2\/5  (c) 3\/7  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 17*z**2 - 11*z - 29. Let g(v) = 6*v**2 - 5*v - 11. Let y(j) = -j - 1. Let k(n) = -g(n) + y(n). What is -11*k(m) - 4*s(m)?\nAnswer: -2*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**3 - 6*l**2 + 2*l - 6. Let x(a) = -2*a**3 - 5*a**2 + a - 5. What is 5*i(c) - 6*x(c)?\nAnswer: 2*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - -1 - 10*-1. Does z = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1253642969 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(114) - sqrt(114)*1*-5)\/((sqrt(42)*-2 - sqrt(42))\/sqrt(7)) + 3*(2*sqrt(304) + ((sqrt(76)*5 + sqrt(19))**2 - sqrt(19))).\nAnswer: 19*sqrt(19) + 6898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 16\/10*75\/10. Suppose -g = -2*x - 3*p, 3*p + 1 - 4 = x. Find the second derivative of 11*o - 2*o**4 - x*o - 3*o**4 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 11:29 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.06, 1\/2, 0.4, -2, 1, -308 in increasing order.\nAnswer: -308, -2, 0.06, 0.4, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/(-105))\/((-288)\/24696*63\/(-6)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 12:49 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 74791 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6291531059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -131.92 - -181.5. Let o = 49 - p. Round o to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*((-3)\/15)\/((-10)\/(-25)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2025157296 divided by -6\nAnswer: 337526216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -4*d + 4. Let a(h) = -h. Determine -a(c) + i(c).\nAnswer: -3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-187)\/(-68) + 6\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 95*d**4 + 2*d**3 + 4*d**2 - 45*d - 203*d**4 + 106*d**4 + 2 to k + p*d**4 + z*d**2 + l*d + g*d**3 and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -849135 divided by 5\nAnswer: -169827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(50) + -3 + 4 - (2*1*sqrt(20))\/sqrt(10)).\nAnswer: 3 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 951810410.\nAnswer: 2, 5, 1583, 60127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-115)\/(-35) + (-50)\/175\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.221111 litres in millilitres?\nAnswer: 5221.111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 522 or 3131\/6?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 46991*d*g**5 - 125*d*g**2 + 2*d*g - 129737691*d wrt g.\nAnswer: 939820*d*g**3 - 250*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1445 and 30056?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3966\/(-165) - (156 - 180).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*h - 3*n + 7*n + 36, -4*n = 5*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/(-2) - 8*3\/(-6). Let k be l\/((-15)\/(-9) + -2). Let p(b) = b**2 - 5*b - 9. Let m be p(6). Sort 5, k, m in decreasing order.\nAnswer: 5, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 409.\nAnswer: 6\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 2*i + 4 = -4, 0 = -5*z + 4*i - 2. Suppose 0*p + 322 = z*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) -0.1  (c) 0.22  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 7*d - 4*d = -795, 5*x - 3915 = -5*d. Suppose -16*m + 19*m - x = 0. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 828 and 11108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -3*f**2 - 7*f - 2. Let d be r(-2). Let o = 24 - d. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 58*t**2 + 16*t - 31. Is u(3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, -1\/3, 1, -99\/13, 1\/37, -0.3?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + 4*v**2 - 5*v + 3. Let r be f(-5). Is r + (-7)\/(-2)*32 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-5))\/((-46)\/(-115))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/56 of a week in minutes?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -4*c**2. Let a(x) = x + 1. Let g(k) = -2*k - 1. Let h(s) = -a(s) - g(s). Determine w(h(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 9*c**2 + 12*c + 28. What is u(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10043 (base 5) to base 14\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1644888 times -2\nAnswer: -3289776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 7*r**3 - 5*r**2 - 11*r + 7. What is w(-3)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*p - 665*p - 5668 - 497 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61479918 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -t - 2*j, 10*t - 19*t + 8*t = -j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9362?\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -10. Solve 2*n = -p + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16.12 - 16.14. Which is bigger: w or -2499?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**4\/2 - 17689*l**3 - 47162*l**2 - 23580*l = 0. Calculate l.\nAnswer: -11790, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 11, 19, 17, -1, -41, -109?\n\"Answer: -u**3 + u**2 + 12*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-44 - 34 - 17 + (-4 + 0 + 0)*(0 + 0 - 1))*(n**3 + 3*n**2 - 3*n**2) as w*n + s + j*n**2 + i*n**3 and give i.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or -66323?\nAnswer: -66323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2661820971.\nAnswer: 3, 907, 947, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 - -31. Solve 3*j + j - 12 = y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*r, -4*r = 2*t - 5*r + 1. Suppose 0*o + 328 = 4*o + 2*f, t*f = -4. Find the third derivative of 2*v**2 - 7*v**2 - 85*v**3 + o*v**3 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -477 != -476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 173, -2, 2, -8, 23.\nAnswer: -8, -2, 2, 23, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (2\/24)\/((-70)\/2520)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v**2. Let w(p) = -2*p**2. Let u(o) = 5*h(o) - 6*w(o). Let d be u(-1). Solve 0 = z + d*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4244.\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - 80.0683?\nAnswer: -80.1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -y**3\/6 + y**2\/6 + 5*y\/6 + 1\/2 = 0. Calculate y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 2037.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15320205 by -27.\nAnswer: 567415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -43\/1837851 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and (-196)\/(-16) + (-2)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*m + 24 = 4*b, 5*m + 20 = 5*b. Solve -r + 2 = 0, 0 = -3*i - i - b*r + 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 + 20bb83?\nAnswer: 20bb77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -47*o**2 - 19842*o - 3371. Determine y(-422).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -655 divided by 1\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 90*x**3 - 15.\nAnswer: -90*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3542859 kilometers to micrometers.\nAnswer: 354285900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14*5\/20*(-24)\/(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 6 + 6 = 0. Let q(d) = -29*d**2 - d - 6. Let h(b) = 1. Let l(x) = k*h(x) - q(x). What is the second derivative of l(w) wrt w?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (5 + sqrt(500) + -6*sqrt(500)*2 + 0)*1)**2.\nAnswer: -220*sqrt(5) + 60501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*o**3 + 300*o**2 + 4884*o - 10944 = 0. Calculate o.\nAnswer: -16, 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1109, 1718, 3357, 6536, 11765, 19554, 30413?\nAnswer: 44852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1413*f**2 + 8*f**3 + 1413*f**2)*((-3 + 10 - 46)*(-5 + 2 + 4) + (-2 + 6 + 0)*(1 + 1 + 1)) as u + x*f**3 + q*f**2 + v*f and give x.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xqbeiuxq. What is prob of sequence qu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5311 + -155442?\nAnswer: -162753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - j + 56 = 47, -s + 5*j = 3*s + 16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23\/(-230))\/((-132)\/(-7425))*2\/(-3)*-1.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 67468*y**4 + 69705 with respect to y.\nAnswer: 269872*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + 4*l**2 - 2*l + 1. Let a be t(3). Find the second derivative of 5 - a + 6*y**4 + 3*y - 1 wrt y.\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x - 4. Let h be y(3). Let s be 3\/12 - (-741)\/(-4). Let b be s\/225 - (-4)\/18. Is h > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 1473*k + 53004. Calculate b(-36).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/7))**(-2\/11))**(-36) assuming l is positive.\nAnswer: l**(144\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -453.9 and -583.29?\nAnswer: 264755.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -201072, -401729, -602384, -803037, -1003688, -1204337, -1404984?\n\"Answer: r**2 - 200660*r - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -64608670 and -64608673 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**1)**(-1\/17)\/((n**(2\/3)*n)\/(n\/(n\/(n*n*n*n**(-1\/4)*n))))*(n**(-4)*(n**(-2)\/n)\/n)**(14\/13) assuming n is positive.\nAnswer: n**(-1019\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/880 and 35\/3344?\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p + 313309*p**3 - 313312*p**3 + 0*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 44252*x**3 - 21815*x wrt x.\nAnswer: 265512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 96, 367, 840, 1527, 2440, 3591, 4992?\n\"Answer: 2*d**3 + 89*d**2 - 10*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.647l in millilitres?\nAnswer: 89647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3949008 and 2068528?\nAnswer: 43439088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, 3, -2, 411 in descending order.\nAnswer: 411, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 243*l + l**4 + 4574 - 12646 - 1347*l**3 + 1348*l**3 - 2*l**4 with respect to l.\nAnswer: -4*l**3 + 3*l**2 + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14771 is divided by 703.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 45*c. Let u(a) = 169*a**2. Calculate x(u(i)).\nAnswer: 7605*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 105 - 58. Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f + 2. Let i(l) = -4*l + 7. Let n(o) = 2*i(o) - 7*s(o). Let v(p) be the second derivative of -5*p**3\/6 + 73*p. Calculate n(v(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*10\/(-15) - (2 - -1). Let h be ((-13 - a) + -1)*(1 - -108). Let p = -164 - h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -815*u - 5*u**2 + 1630*u - 815*u + 6*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -44553 (base 6) to base 15\nAnswer: -1cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 376394184 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 1:16 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.14786 and 21.\nAnswer: 3.10506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06179 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9648.879 centuries in decades?\nAnswer: 96488.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 27108 divided by -27\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (3 - 1) + -6 + (-55 - -56)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, q: 4, l: 6, h: 2}. What is prob of sequence llh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of 2*i**4 - 295*i**3\/3 - 3232*i**2 - 2457. Find the second derivative of j(y) wrt y.\nAnswer: 48*y - 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-80)\/(-32)*3\/((-6)\/(-4)). Suppose 0 = j*c - 889 - 346. List the prime factors of c.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 - 16 + 9 - 6*h + 2. Is 22 a factor of r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 12853 from 248.078.\nAnswer: -12604.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j + 8. Let m be t(-8). Suppose g = -m*g. Let f be (-9)\/(36\/(-8)) + g. Solve s = 4*i + 13, 0 = f*s + s - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 3*s**2 + 3*s + 1\/3*s**3 - 1. Determine d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8352589271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 PM and 2:24 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 142 and 781?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3275, 3276, 3277, 3278, 3279, 3280?\n\"Answer: x + 3274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 2*q = 10 - 16, -2*n + 2*q = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in 1, 3, -0.5, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 10:18 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 31720\/2745*(-11)\/((-396)\/(-27))\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/9*83313\/33. Suppose 8*p = 13300 + 156. Let k = p + g. Which is the closest to -1?  (a) -0.1  (b) k  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffd when three letters picked without replacement from fpdfpddppippdp.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (5 + -7 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide (-138)\/(-276)*(33862 - (-1 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 117 divided by -31.\nAnswer: -117\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 92244941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y + 11. Let j(b) = -b - 11. Suppose -5*k - 3 + 18 = 0. Let v(h) = k*j(h) + 2*n(h). Calculate v(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of -l**8\/3360 - 9*l**5\/20 - 2*l**2 - l. Let x(n) be the third derivative of y(n). Let f(i) = i**2. Calculate f(x(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*l**2 - 6*l**2 + 23*l**2 - 4*l**2 - 7*l**2 + 13*l**2 - 20*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 5*x**3 - 22*x**2 - 27*x + 15. Is y(9) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((2\/(-6))\/((-12)\/36))\/1. Let o(l) be the second derivative of -5*l**4\/6 - l**3\/6 + l**2\/2 + l. Let t be o(m). Is t bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 11, w: 1, j: 4, a: 3}. What is prob of sequence sa?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1959987 rounded to the nearest one thousand?\nAnswer: 1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) -4  (b) -3\/7  (c) 12  (d) -12295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6569.985 + -6546. Let l = 24 - n. Round l to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 6, h: 3, e: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mlml when four letters picked without replacement from {l: 5, v: 2, m: 5}?\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26166 and 213444.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 77\/205 - -1\/41. What is the nearest to f in -1, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 4  (c) 5  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 + (-1 - (4 - 7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 2 = -2*x, -r = -4*r - x + 8. Which is the second biggest value?  (a) r  (b) -0.3  (c) -233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 8 = -4*a, -2*m + 4*a + 1 = 7*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 12*q**2 + 5*q**2 + 5*q**2)*(0 + 0 - q**3).\nAnswer: 2*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4455?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26.07 - -26. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79773*k + 306 = -79790*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/900 and 61\/970?\nAnswer: 87300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c - 3. Let t be u(3). Suppose 0 = 5*j + g, -3*j + 4*j = 2*g + 11. Let s = 18 - 15. Sort s, t, j.\nAnswer: t, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 4623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1098 divided by 6\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 11:15 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-4 + sqrt(112) + sqrt(112) + 0 + -4)**2*-3 + ((sqrt(112) - (sqrt(112) - (sqrt(112) + 3))) + sqrt(112) + 5 + (sqrt(112) + -2 + sqrt(112))*1)**2).\nAnswer: 876 + 1728*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -953, 7, -2, -19, 0, 5, 3 in increasing order.\nAnswer: -953, -19, -2, 0, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -10170*h - 172897. Calculate f(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 14275528*-72\nAnswer: -1027838016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4*(0 + sqrt(176)))**2.\nAnswer: 64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k\/k**(5\/4))\/k)\/k)\/(k*(k\/(k\/((k\/((k*(k*k*k**(-1\/2)*k*k)\/k*k)\/k))\/k)))\/k))**(3\/13)*(k**(1\/5)*k*k**(3\/4))**(-28) assuming k is positive.\nAnswer: k**(-14121\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 AM and 7:25 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5\/256  (b) -2\/3  (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 84*t**2 + 27*t - 100. Let l be g(4). What is the greatest common factor of l and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -54 - -1c?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 2898?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3669ac (base 15) in base 16?\nAnswer: 27bd18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 12:06 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -24 + 326?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.5803 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -6 * -681\nAnswer: 4086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 50954  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -1 + 4*((sqrt(125) - (3 + sqrt(125))) + sqrt(125))**2.\nAnswer: -120*sqrt(5) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 - 8. Solve b = 4*f - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42 + 43)*(-1 + 3)*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33\/23 - 1177\/414. Let g = 6068973677\/105267672 - -1\/4386153. Let p = -502\/9 + g. What is the common denominator of p and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 54466 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 0  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3314 - -29682. Is w a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.03 - 0.97. Let f = -10061\/12 + 840. Let v = f + -5\/4. What is the closest to c in -1\/3, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -766 and 18.46?\nAnswer: -14140.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -8818902 and -0.02.\nAnswer: -8818902.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 1, -2\/7, -1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 240818*t**3\/7 + 18293840*t**2\/7 - 90408*t + 5472\/7 = 0.\nAnswer: -76, 6\/347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 - (-17017)\/945 - ((-3)\/30 - 126\/(-60)).\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 7*c - 12 = 0. Let o be (0 - (-3)\/(-1))*(-14)\/c. Solve 3*t = o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 366669 and 45?\nAnswer: 1833345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 70594.44 decades in years?\nAnswer: 705944.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + (4*sqrt(228) - sqrt(228) - sqrt(228) - sqrt(228))*1))\/(sqrt(72)\/(sqrt(6) + sqrt(486))).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*q**4 + 2653*q**3 + 118446*q**2 + 100320*q - 15488.\nAnswer: (q + 1)*(q + 88)**2*(15*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1137981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -425\/6 + 71. Let z = -14\/9 - -145\/99. Let w = -2.6 - -2.5. Sort z, u, w in descending order.\nAnswer: u, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -81 by -1875001.\nAnswer: 81\/1875001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107 + (-23 + 15614\/666 - ((-770)\/18)\/5).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(27) + sqrt(27)*-5) + -4*sqrt(1728))\/(sqrt(9) - sqrt(81)\/sqrt(900) - (sqrt(108) + sqrt(108) + sqrt(108)*-2)\/sqrt(12)).\nAnswer: -280*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8511 + -8511.00023968. Round p to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.02 + 2.98. Let y = o - 8. Let h = 2.5 + -0.5. What is the biggest value in -2, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 37, 110, 187, 268?\n\"Answer: 2*u**2 + 67*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 - 8*u - 3. Let a be h(9). Let s = 283 + a. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tbuuututqdtudbuuutuu. Give prob of picking 2 b and 2 t.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 29*w**2 - 98*w - 56. Let v be j(-32). Let m be v\/18*459\/1326. Put 0.5, m, -5, -3 in descending order.\nAnswer: 0.5, m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of -42*l + 2 + 3\/20*l**5 + 2*l**2 + 1\/6*l**3 - 1\/4*l**4. Let o(a) = -3*a**3 + 2*a**2 - a - 3. Calculate -3*f(x) - 4*o(x).\nAnswer: 3*x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + 5. Let f be 2 - 5 - (-4 - (-18)\/(-6)). Let s = w + f. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nbnbbbbn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -14. Let f be (-24)\/(-14) + 78\/273. Solve f*u + 3 = -o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -37\/2, 0.5, 0.4 in descending order.\nAnswer: 0.5, 0.4, -37\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -575 - -977. Let r = -399 + d. Which is the nearest to -9\/2?  (a) 2\/3  (b) r  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 11\/4 of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h - 5. Let d be y(-3). Let i = -4607.1 - -4607. What is the third smallest value in d, i, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8865*q - 2323*q - 6846*q)*(-2*q + 2*q + q**2) as t + f*q**3 + u*q**2 + s*q and give f.\nAnswer: -18034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100110000100000 - 100?\nAnswer: 1100110000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -90*x**3 + 21*x**2 + 33*x - 4. What is o(-2)?\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -275.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 321.0652l?\nAnswer: 321065.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/28)\/(9\/(-135)*-5).\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(((-1)\/(-5))\/(1\/5)). Let v(x) be the first derivative of 0*x**2 + 3\/16*x**4 + 10 + 3\/20*x**5 - 1\/2*x**3 + j*x. Find c such that v(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16174 - -16378. What is the remainder when w is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 + 1)*(2*g + 2*g**3 - 2*g + (-5*g**2 + 5*g - 5*g)*(-g + 0*g + 3*g)) in the form w*g**2 + b*g + y + d*g**3 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*k = -94*k - 99 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 24, -5, -101, 2, 0, 5 in decreasing order.\nAnswer: 24, 5, 2, 0, -3, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c**5 + 0*c**3 + 0*c**3 - 3*c**5 + 3*c**5 + 2*c**5 + (1 + 2 - 2)*(-1 + 1 + 3*c**5) - 2 + c**5 + 2 + 0*c**5 + c**5 - 3*c**3 + c**3.\nAnswer: 6*c**5 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 2*j + 6 = c, -4*j = -c + 33. What is the remainder when 61 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s + 2. Let v be b(-1). Solve -3*h - 13 = -3*t - 5*h, v = -2*h - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -s**7\/21 - s**6\/6 - 7*s**5\/40 + s**4\/48 + s**3\/6 + s**2\/8 - 3013*s. Let j(o) = 0. Calculate o.\nAnswer: -1, -1\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-28)*b*b**(-23)*(b**(-19))**23 assuming b is positive.\nAnswer: b**(-487)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**4\/8 + 7*i**3 - 1480*i**2. Determine m(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 11*i - 16. Let g(c) = -22*c + 30. Let a(z) = -4*g(z) - 7*p(z). Let k be a(3). Suppose -30 = -k*x + 20*x. Which is greater: x or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 4:51 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 803, 1604, 2405, 3206, 4007?\n\"Answer: 801*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -13875.73 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -8*j. Suppose 0 = -12*b + 16*b - 12. Let y(o) = -o + 118 - 116 - b*o. Let h(t) = -17*t + 9. Let s(w) = 2*h(w) - 9*y(w). Give s(n(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -541, -168, 501, 1466, 2727?\n\"Answer: 148*k**2 - 71*k - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/((b\/b**3)\/b)))\/(b\/(b*b**(-1))))\/(b\/(b**(1\/9)\/b)*b*b**0*b) assuming b is positive.\nAnswer: b**(-71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -3*k - 70 + 254, 268 = 4*k + o. What is the remainder when k is divided by 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-120)\/(-56))\/((1398\/(-3262))\/((-5)\/(-2)))?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 3*b**2 - 47. Let n(y) = 5*y. Determine h(n(r)).\nAnswer: 75*r**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1027116577?\nAnswer: 29, 35417813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -211\/10710 and -107\/1021260.\nAnswer: 364589820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)\/(sqrt(44)\/sqrt(11)) - ((sqrt(110)*-1)\/sqrt(10))**2) + (sqrt(539) + 2)**2 + sqrt(11) + (sqrt(11)*4 + sqrt(11))**2 + 3 + -5.\nAnswer: 30*sqrt(11) + 805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 58270*m + 3787546. Give f(-65).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**4 - 2*a**3 - 2*a**2 + 2*a = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1876803 is divided by 89.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (144*a + 50*a - 112*a + (3 - 2 + 1)*(-3 - a + 3))*(-1 + 1 - 2*a**2).\nAnswer: -160*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -u**3*w**2 - 41*u**3*w + u**3 - 1363*u*w**2 + u*w - 12*w**2 - 2 wrt w.\nAnswer: -2*u**3 - 2726*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 100*i. Let z(g) = -2*g + 2. Let w(l) = -2*l + 3. Let a(y) = 2*w(y) - 3*z(y). What is s(a(q))?\nAnswer: 200*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((4674\/574)\/((-4)\/(-14)))\/((-1)\/(-4)). What is the greatest common divisor of 1634 and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the third derivative of -p**8\/2520 + p**6\/720 + p**5\/20 + 2*p**2. Let a(r) be the third derivative of n(r). Give a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -117*d**3 - 2*d**2 + 11*d + 27. Let s(n) = -233*n**3 - 3*n**2 + 20*n + 53. Let g(f) = -11*p(f) + 6*s(f). Is g(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 4*h - 3854 = 0, 168*h + 9671 = 5*t + 164*h. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2225 or 2226?\nAnswer: 2226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 6*p + 3*p = -201, 0 = -b - 3*p + 69. Suppose -3 = 2*q - s, -2*q + 4*s + 3 = s. What are the prime factors of (b\/8)\/(q\/(-12)) - -1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.42 and -0.0744622.\nAnswer: 0.105736324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 664745?\nAnswer: 5, 132949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 398803817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/((-63)\/(-7)) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 <= -360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of 2 + 0*s**4 - 1\/330*s**5 - 10*s**2 + 4\/33*s**3 + 0*s. Determine g, given that l(g) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1473 and 1301.\nAnswer: 1916373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24*s**3*t - 649051*s**2*t**2 - 43*s*t**2 - 16*s*t + 2*s - 568*t**2 + 1 wrt s.\nAnswer: 144*s*t - 1298102*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-4)*32\/48?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82041 - 22866 + 54217 = -4421*w + 1437*w for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1027225 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*(l*l**(-5))\/l*l*l*l))**(15\/8)*(l**(-2\/13))**(-3\/4) assuming l is positive.\nAnswer: l**(201\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (142\/(-3))\/(10\/(-75)). Let w be (-506)\/(2\/1) + 1. Let t = w + g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/((u*u**(-13))\/u))\/(u**11*u))\/((u**(-1\/16)*u)\/((u\/(u\/u**(-9\/4)))\/u)) assuming u is positive.\nAnswer: u**(-35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -6*h**2 - 3*h + 5. Suppose 28*t + 142 = 2. Let b(c) = -5*c**2 - 3*c + 4. What is t*b(l) + 4*r(l)?\nAnswer: l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 4*r + 4 + (1 + 0 - 22)*(-r + r - 2*r - 10).\nAnswer: 38*r + 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 260711042 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12652 - -12814. Solve -45*j - 9*j = -m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -18.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3425 - 1?\nAnswer: -3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence klsf when four letters picked without replacement from {e: 1, f: 3, k: 3, s: 3, l: 2, n: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4989 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 6*z + 2*z + 1.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*c = -88*c + 155 + 65 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2203 + -2206. What is the second smallest value in 8\/13, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71395?\nAnswer: 5, 109, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1496650 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r + 0*r - r)*(28*r**2 + 21*r**2 + 120 - 47*r**2) to the form p*r**3 + x + t*r + j*r**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fyyryoyyyyoryoce. Give prob of sequence ycy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*i - 2*i + 15*i)*(-66 - 24 + 17)*(-3 - 4 - 2)*(-i + 2 - i**2 - 2) in the form r*i + k*i**3 + n*i**2 + m and give k.\nAnswer: -11826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 110121202000 (base 3) in base 8?\nAnswer: 745120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 187*v - 186*v = 2*w + 8, v - 4*w = 4 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -55 + 52. Let d(n) = -n**3 - 4*n**2 - 4*n - 3. Determine d(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - -1) + (-17 - (-7 + 1)) + -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, -222, 1, -2, -1 in increasing order.\nAnswer: -222, -2, -1, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 116 and 2900.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48707 + 13727 = -1060*w for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 32617 and 0.4.\nAnswer: 32617.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.581 - 11.581. What is the closest to -1\/3 in -1.4, -3, -4, y?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t. Let s be o(-3). Find the third derivative of s*u**6 - 6*u**2 + 5*u**6 + 9*u**2 wrt u.\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27308137273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 8  (b) 2\/5  (c) -0.5  (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/2*(-748)\/264 - 12906\/3240.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q + 14. Suppose -h + 4*h + 18 = -3*s, h - 18 = 2*s. Let k be c(s). Let n(a) = 1 - a + k + 1 - 4. Let m(f) = 2*f - 7. Calculate -6*m(d) - 10*n(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(68))*-4 - ((sqrt(68) - (sqrt(68) + 0) - sqrt(68)) + -5))**2 + 2 + (sqrt(68)*-4 + -1 + 3 + -5)**2.\nAnswer: -12*sqrt(17) + 1736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 913 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: Calculate the greatest common factor of 2215840 and 2464.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 12*l - 6 = -8*l, -2*l - 8 = 2*m. What is the closest to m in -2\/3, 1.5, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 + x - 1. Let m(u) = u**2 - 4*u + 4. Let z(g) = -35*g + 139. Let o be z(4). Give o*m(f) - 2*n(f).\nAnswer: -3*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(4 + 1*sqrt(1331)))**2.\nAnswer: 1408*sqrt(11) + 21552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 256*g**2 + 1794*g + 20. Let d be a(-7). Let z(m) = -m + 20. Determine z(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 504.214151 to 2 decimal places.\nAnswer: 504.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 20 = 2*g. Calculate the smallest common multiple of g and (-49)\/35 - (-3 - (-288)\/(-20)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (2\/3)\/(355045\/355035 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 63*k - 9. Let s be z(0). Let c(a) = -a**3 - 9*a**2 - 3*a - 20. Determine c(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14.16 - -1.74. Let q = v - 15.9206. Round q to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, b: 6, v: 1, e: 3, l: 1, g: 5}. What is prob of picking 3 b?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(1\/2)*l)\/((l**(-9)*l)\/l))\/(l**8\/(l*l**(-3\/5))))\/(((l**(8\/5)\/l)\/l)\/l*l**6*(l*l*l*l\/l**(-1\/9))\/(l*l**(-3)*l)) assuming l is positive.\nAnswer: l**(-613\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1755 and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -0.173251.\nAnswer: -0.0693004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 156850, 313689, 470534, 627385, 784242?\n\"Answer: 3*o**2 + 156830*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of -2*z**2 + 0*z**3 + 2\/5*z**5 + 7\/10*z**6 + 0*z + 3\/7*z**7 + 9\/112*z**8 + 0*z**4 + 0. Suppose f(l) = 0. Calculate l.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - f - 2*j - 2 = 0, -4*j = 4. Solve f*w = -w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 63 = -4*i + 8*i, 3*z - 45 = -3*i. Solve 5*b = b + i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - 19*d - 11. Let k be z(20). Let b be 0\/2 + 6 + -18. Let x be (b\/k)\/(2\/(-3)). Solve x*h + 4*c - 3 = -1, -4*c = 4*h + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3, -2*c + 2*h + 10 = -c. Suppose -2*v - 27 = t, 0 = c*v - t + 10 + 59. Let w = v + 22. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 2 - 10 = 2*x, 3*f + 16 = -4*x. Let i(w) = 25*w**2 - 9*w + 13. Let k(n) = 13*n**2 - 4*n + 6. Determine x*i(b) + 9*k(b).\nAnswer: 17*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of 3*i**2\/2 - 3*i - 5. Give q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29930 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 51*y + 56*y - 31 = 0, 3*m = 2*y + 29. Solve -3*d + l = -8 + 3, 0 = -5*d + l + m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 3*c - 2*c)*(2*c**2 + 9*c**2 - 4*c**2).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 76 + -383\/5. Sort q, -0.4, -1 in decreasing order.\nAnswer: -0.4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -12. Suppose 2*a = -h + 19. Solve -2*t + a*t = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -74 - -138. Let w(h) = h**2 - 4*h + 1. Let v(l) = -l**2 - 4*l + 4. Let c be v(-3). Calculate the remainder when i is divided by w(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w + 27 = 24*w + 313 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -22063 (base 7) to base 10\nAnswer: -5533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l + 13 + 8 - 4*l + l as h + x*l and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -3, -0.07828, -1.\nAnswer: -3, -1, -0.07828, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m. Let x(z) = 6*z**2. What is x(p(l))?\nAnswer: 150*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -u - 7, 3*u + 2 - 3 = 5*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/((-8)\/12)*(-3360)\/9. Suppose -3*v = -6*v + 9. Suppose -v*w - w + k = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 374833999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 + u - 4. Let p be z(-7). Let g = p + -26. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 1 = -5. Suppose 2 = u*d - 13. Let h be -2 + 0 + d*2. Solve -f - f = h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.75 - 1.95. Which is the third biggest value?  (a) y  (b) 5\/2  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1836 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: Let b = 6746.0003181 + -6746. What is b rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 38*r - 39*r - 105. Let k = r + 112. Suppose -2*d = -6*m + 9*m - 21, -d = -2*m + k. Solve -d*i = -5*s - 27, 0*s + 4*s + 8 = -i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 5 + (4 - 6 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 4) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22256 divided by -856.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 2*a**2 + (-1 + 1 + 3*a)*(43*a + 47*a - 11*a))*(-a - 4*a + 4*a) as m + q*a**2 + b*a + c*a**3 and give c.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38512 - 3928289\/102. Calculate the common denominator of (-9)\/(-15) + -21*35\/1350 and m.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence scsb when four letters picked without replacement from {s: 6, c: 1, b: 7}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (4\/2 - -18). Let t = 19 + p. Solve -2*s + 4 - t = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -329230 to the nearest one thousand.\nAnswer: -329000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 2*f = -5, 4*f = -4*n - 0*f + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -360 or -1144?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 255780*j. Let p(n) = n - 3. Give v(p(c)).\nAnswer: 255780*c - 767340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 368\/88 - 4*(-1)\/(-22). What is the highest common factor of h and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c + 6. Let o be r(-3). Let v be (-1 - 2)*5\/(-15). Suppose 0*g - v = u + g, -o*g - 5 = u. Sort u, -2, 0, -3.\nAnswer: -3, -2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.2 * 12\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -482202, -482197, -482192?\n\"Answer: 5*l - 482207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 6*p - 7. Let s be r(-7). Suppose 4 = 4*i - s. Let y(o) = -2*o - 3. Let j be y(-4). Solve -j*g + 11 = i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5458698 and 5292.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - 5. Let v be -3 + ((-2 + 1)*(-3 + 5))\/1. Sort 4, s, v, 0 in descending order.\nAnswer: s, 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 396, 964, 1930, 3516, 5944, 9436?\n\"Answer: 37*t**3 - 23*t**2 + 378*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.3  (b) -1  (c) -51  (d) -0.3  (e) 0.14  (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 4*a + a - 21, -a = -4*f + 5. Suppose 2*y + 4 = -f*o - 0*y, -y = 2*o + 6. Let u be 19 + o\/(2 + -1). Which is smaller: u or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 489872780 to the power of 1\/2, to the nearest integer?\nAnswer: 22133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 16 = 0, -5*d - 8 - 12 = 4*r. Suppose r = c + 2*c - 288. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-w + 0*w + 0*w)*(1 + 1 + 0) + 10557*w - 20332*w + 14031*w - 3*w - 2*w + 6*w to the form k*w + x and give k.\nAnswer: 4255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 6*z**2 - 4*z + 7. Let i be w(5). Calculate the greatest common divisor of 84 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -259 - -2544. Is 2\/5 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5\/4  (b) -342  (c) 1.6  (d) 2\/21  (e) 1\/3  (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*c = 7063 - 6283. Solve c*y - 48 = 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - 16*j**2 - 14*j - 20. Let z(s) = s**2. Let i(v) = t(v) + 3*z(v). Let y be i(14). Let d be (6\/5)\/(8\/y). Let b(x) = -3*x - 2. Give b(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/96 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46 + 66.55. Let w = v + -19. Round w to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -41, 53.1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1410731, -1410724, -1410717?\n\"Answer: 7*b - 1410738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1878 - -3725. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1*4)\/(16\/4) + 1. Find the first derivative of 14 - b**z - 31*b**2 + 10 + 19 wrt b.\nAnswer: -64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 662330178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3 - -164309191666887\nAnswer: 164309191666890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16132 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 238 = -12*s. Let m(x) = -x**2 + 5*x + 6. Let o be m(7). Let z = o + 13. Calculate the remainder when s is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(sqrt(3)*-3) + -3.\nAnswer: -3 - sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + 92\/32)\/((-2)\/16). Which is the biggest value?  (a) -0.046  (b) -2\/5  (c) -2  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 2 l, and 1 h when four letters picked without replacement from {h: 7, m: 1, l: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252) + 2 + sqrt(14)\/sqrt(2)*-2.\nAnswer: 2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 2 - (2 + -2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1851955901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2. Let i(z) = 1. Let s(w) = g(w) - 3*i(w). Let h(a) = -2*a**2 - 4*a**3 + 2*a**3 + 4 + 4*a**3. What is -h(v) - 4*s(v)?\nAnswer: -2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -85429 and -0.3.\nAnswer: -85429.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -994*c**4 - 12177*c**2 + 6*c + 2179577?\nAnswer: -11928*c**2 - 24354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oonx when four letters picked without replacement from {c: 3, o: 1, n: 1, x: 2, y: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*j + 82*j = 10. Let k(n) = -n**2 - 14*n + 4. Let f be k(-14). Which is the third biggest value?  (a) j  (b) f  (c) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 x, and 1 y when three letters picked without replacement from {x: 1, s: 5, e: 2, t: 1, y: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -a**3\/3 - a**2\/2 + 6*a. What is the units digit of u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 1849  (c) 2\/13  (d) 58.94  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -16*z - 2. Let q(u) = 1. Let a(j) = 2*q(j) + w(j). Let p(f) = 5*f**2. Calculate a(p(r)).\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7125 and 23085?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**2 + 0*x + 0*x + 15*x**3.\nAnswer: 15*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 17 - -3 - -1 - (-109 + 91)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28057\/1014 + -1\/338. Let x = l - 28. Let z = 140 + -702\/5. Which is the nearest to z?  (a) x  (b) -3  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12470, -12355, -12240, -12125, -12010?\nAnswer: -11895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(539))\/sqrt(11)*3)\/(sqrt(175)*3*-4).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*j = 34*j - 420. Let l(h) be the third derivative of 0*h + j*h**2 - 1\/6*h**3 + 2\/45*h**5 - 1\/72*h**4 + 0 - 1\/90*h**6. Suppose l(q) = 0. What is q?\nAnswer: -1\/2, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 2*n**2 + 12*n + 20. What is s(-4)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 4) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -4.48.\nAnswer: 0.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 28*p + 3. Let r be z(3). Suppose 5*o + 18*q - 21*q - 254 = 0, 83 = 2*o + 5*q. Let w = r - o. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8011 + 2?\nAnswer: -8008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.5 - -0.7. Which is the second biggest value?  (a) 5  (b) l  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3*u = 19, -5*c + 2*u = -0*c - 10. Let p be 28\/(-15) + (-38)\/285 + 2. Suppose -c*f = 2*o - p*o - 50, o = 2*f + 41. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 - 10*p - 145. Calculate w(11).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 496 by -31.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 392 = 154*f - 126*f. Solve -f*a - 184 = -86 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110001101010 + -1000?\nAnswer: 1110001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*(3 + sqrt(117) + (sqrt(117) - sqrt(117)*-1)) - (4*(2*sqrt(78) + sqrt(78) + sqrt(78)))\/(sqrt(6) - (sqrt(12)\/sqrt(50) + sqrt(6))))**2.\nAnswer: 13536*sqrt(13) + 460768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -10. Let m be i\/2 - 315\/(-10). Let y = 72 - m. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22532?\nAnswer: 2, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*l - 1376 - 5419. Let q = l + -404. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -1 + 5 + 5793*y**2 - 5794*y**2 - 6*y. Give g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-1)*v)**(1\/20)*(v*v**(-1)\/v)\/v**6*(v**1)**27*(v\/(((((v**(1\/3)\/v)\/v)\/v*v)\/v)\/v))**10 assuming v is positive.\nAnswer: v**(4009\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**5 - 24*u**4 - 6*u**3 + 68*u**2 + 48*u = 0. What is u?\nAnswer: -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, l: 1, k: 1, q: 1}. Give prob of sequence nlk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 2*t + 33 = 0, 0*a + 4*t + 36 = -4*a. Let r be (-7)\/14 - (-3)\/2. Put a, 3, r in decreasing order.\nAnswer: 3, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a - 1c15a04?\nAnswer: -1c15a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 10:13 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2932776563 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 - 8*o**2 + 4*o + 67. Calculate k(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, -2\/3, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 11 = m, 33*i - 36*i + 2*m + 2 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 1. Let j(a) = -a - 3. Let w be j(0). Let i be k(w). Does 14 divide i\/2*(-49 + -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/8, 0.5, -0.02, -4\/31, 59?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 431.323893 milliseconds to weeks.\nAnswer: 0.0000007131678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -32*n - 10. Suppose 0 = 5*y - 2*s + 20, -5*y - 20 + 0 = 4*s. Does 14 divide i(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 61624 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-312)\/(-130))\/(3\/80). What is the greatest common factor of w and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of -5\/2*k**2 - 47\/6*k**3 - 3*k + 0. Is p(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -2\/7  (b) 0.3  (c) -2\/21  (d) -24  (e) -4\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/p**(-7)*p)\/p)\/(p\/p**(2\/11)))\/(p**(-1\/4)*p**2*p))\/(p**6\/p**3*((p\/(p*p**2))\/p)\/(p\/(p*p\/(p**(-4)\/p)))) assuming p is positive.\nAnswer: p**(-69\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/24 and -133\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -94\/585 + -4\/65. Let g be -3 - (27\/33 - 4). Let p = 16 + -11. What is the nearest to n in p, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2. Suppose 1 = a, -4*l = 3*a - 27 - 12. Let i(z) = l*z**2 - 10*z**2 + 4*z**2. Give i(o(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 8*s + 282 - 290. Which is the fifth smallest value?  (a) s  (b) 6  (c) 0  (d) 2  (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -3*l - 2. Let w(t) = 26*t + 17. Let s(i) = -51*n(i) - 6*w(i). Let c(p) = 44*p**2. Determine s(c(b)).\nAnswer: -132*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011011100101 (base 2) in base 16?\nAnswer: 16e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10437.925+1.44\nAnswer: 10439.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*m**3 - m**3 - 2*m**3)*((-306*m + 371*m - 609*m)*(-1 + 3 + 1) + 2*m - 4*m + 4*m) as s + i*m**3 + y*m**4 + c*m**2 + z*m and give y.\nAnswer: -3260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) + -2 - sqrt(720))*4)**2 + sqrt(720).\nAnswer: 12*sqrt(5) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 343311815 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = v - 11, 0*p + 2*p + 4 = 0. Let s = v - 20. Let j = s + 12. Solve -c = 5*y + 28, -2*y = -j*y + 4*c - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 15*p + 16. Let t(c) = 23*c + 24. Calculate 8*k(j) - 5*t(j).\nAnswer: 5*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -282.95 - -108.31. Let x = 170 + d. What is x rounded to 1 decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(2) + sqrt(2) + -2 + 3*sqrt(32) + 2.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 3*u + 2*y - 31, -2*u + 4*y + 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0*x*x**(2\/7)*x)**(-47)*(x**5*x*(x\/x**(-6)*x)\/x)\/(x**(1\/2))**(1\/13) assuming x is positive.\nAnswer: x**(-17193\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from uurruuuuuru.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1490 is divided by 150?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8571771, -8571773, -8571775, -8571777, -8571779?\nAnswer: -8571781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of 13*a**4\/2 + 5*a**3\/6 - 5*a - 3. What are the prime factors of x(-2)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i**5 + 2*i**5 + 4*i**5 + ((-2*i + 2 - 2)*(i**3 + i**3 + 0*i**3) - 3*i**4 + 4*i**4 + 0*i**4 - 3*i**4 + 4*i**4 + 5*i**4)*(-i + i + i).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*i + 1429064 = 119*i. What are the prime factors of i?\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -457437, -457438, -457449, -457476, -457525, -457602?\n\"Answer: -w**3 + w**2 + 3*w - 457440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 156 and 51168.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (60\/(-45))\/(1\/(-3)). Suppose -u - 45 = -k*u. What is the highest common divisor of u and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 189 - 183 - (-1 - 77 - (22 + -18)) - -5?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 - d**2 + d + 1. Let w be (-2)\/(-3) - 6\/9. Let u be o(w). Let j = 22 + -19. Is j less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3749 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/42*(-7)\/(-9)*(-3)\/(-5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of -4*p**2 - 1\/20*p**5 + 0*p - 1\/40*p**6 + 1\/2*p**3 + 1\/8*p**4 + 0. Factor l(d).\nAnswer: -3*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + a + 0*a)*(-4753*a**2 - 37 + 4603*a**2 + 39 + a).\nAnswer: 150*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*g - 4*g + g - 1)*(-2 - 86*g + 89*g - 24) to the form n + a*g**2 + k*g and give k.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + 111*g**2 + 32*g + 93. Let r be f(-55). Is r less than 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of 21*i**4\/4 - 2*i**3\/3 + i**2 - i - 13. Let h be j(1). Suppose -h = z + 3*z. Put 3, -1, z in increasing order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 9*n**2 + 13*n - 5. Let x = -299 + 292. Let y be f(x). Solve 4*p - 5*a = -a - 40, -y*p - a = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.90415 - 0.09585. Put w, 85\/11, 3 in ascending order.\nAnswer: w, 3, 85\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*l - 17*l + 13*l)*(0 + l + 0)*(0*l**3 + 2*l**3 + 2*l**3).\nAnswer: -100*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 127510070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**5*(g*g**(-3))\/g)**(-36)*((g*g\/(g*(g*g**(-3))\/g))\/g)\/g*g*g**0*g**(-1\/5)\/(g*g*g**(-2)) assuming g is positive.\nAnswer: g**(-346\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u. Let k(s) = 5690295*s. What is y(k(w))?\nAnswer: 17070885*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 824756 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1560\/(-11505)*(-1)\/(-8)?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = w + 4*i, -3*w - 3*i + 100 = 118 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2088 is divided by 1020.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - -17. Let k = l - 25.944. Let y = k + 2.944. Sort 4, 2, y, -1 in descending order.\nAnswer: 4, y, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -788 or -795?\nAnswer: -788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 396 a factor of 297792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - j - 33. Let u be c(7). Suppose 0 = u*b - 4 - 14. Solve 0*f = b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 931986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (672\/140)\/6*(-3)\/(-1*6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17326661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16022 (base 8) to base 10.\nAnswer: 7186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -158 + 385358443\nAnswer: 385358285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 783\/8 - 98. Let p(v) = 2*v + 13. Let y(i) = 3*i + 19. Let f(r) = 8*p(r) - 5*y(r). Let l be f(-11). Which is the biggest value?  (a) l  (b) -1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 6 = -11. Solve -r + 13 = -5*b + r, o*r - 16 = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13810 is divided by 1345.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-42)\/(-49)*(-6 - 1). Let p be (1\/(-8))\/(1\/r). Which is the second smallest value?  (a) p  (b) -1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24213 - 24213. Solve -16*f + 12 - 156 = p for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -562\/99 + 16\/11. Which is greater: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-2)*(72\/(-12))\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -53, -205, -475, -869, -1393?\n\"Answer: -f**3 - 53*f**2 + 14*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -50*z - 34. Let j be n(-11). Let l = j + -75. Suppose 2*f + 4*a = 250, -l = -4*f + 5*a + 7. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-0.07.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 7 - 21*w + 237*w as c + h*w and give h.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - 2044?\nAnswer: -2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1a75922 (base 12) to base 16\nAnswer: 55e5ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.1130702 * -0.0139\nAnswer: -0.00157167578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 16. Let x = -57 + 83. Let z = x - k. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*k + 12*k + 21*k)*(0*k - k + 4*k + (-2*k + 3*k + 0*k)*(1 - 2 + 3))*(0*k**2 + 3*k**2 - k**2).\nAnswer: 90*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 1)*(3 - 3 + 5*f) + (2*f - 3*f + 2*f)*(1 + 1 - 1).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 753 is divided by 426?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, v: 2, h: 1, u: 2, t: 1}. What is prob of picking 1 h and 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27 - -40) + -8 - 136?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*m = -50*m + 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -6 - (-7 + 4 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -83*v - 18. Let o be w(-14). Suppose 4*u = -2*r + o, 4*r - u = -758 + 3037. List the prime factors of r.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-6) + 10\/15. Suppose t = -2*q + q + 10. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-108))\/((6\/6)\/((496\/8)\/31))\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/((sqrt(125) - sqrt(125)*5) + sqrt(5)) + -2.\nAnswer: -2 - sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {h: 5, q: 4, t: 4, f: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/(-36))\/((1166\/264)\/(-53))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -668 - -1158. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 2*b = -88, -3*j - 3*b + 76 = -8*b. What is the second derivative of -28*d - 4*d**4 + 32 + 11*d - j wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.39 - 3.09. Let t = -8.7 - i. Which is the biggest value?  (a) 5  (b) 1  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + b**2 - b - 7. Let o be ((-6)\/(-12)*0)\/(-1 - 0). Suppose o = -3*z - 3*w, z - 3*z = -5*w. Give s(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 40452.\nAnswer: -1\/20226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 52*a - 13 - 95*a + 37*a - 136*a.\nAnswer: -246*a - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8470 a factor of 1087361660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -0.6, -19, -45, -70?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3503, 12369, 31975, 67691, 124887, 208933, 325199, 479055?\n\"Answer: 895*u**3 + 2601*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*a + 2*a + 566*a**2 - 2 - 2220*a**2.\nAnswer: -1654*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 242397 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 87214718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzyzyzyzzzz. Give prob of picking 2 y and 1 z.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 91 + -51. Suppose 56*q = p*q. Solve -a - 5 + 0 = q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -926*x - 10 - 2 + 10 to t + u*x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 7  (b) -177  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 - 2)*((184*i**2 + 108*i**2 + 181*i**2)*(5 - 3 - 3) + 3 + 9*i**2 - 3) in the form k*i + c*i**2 + d and give c.\nAnswer: 1856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-45865)\/(-10))\/(-1))\/((-9)\/54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, -0.007, 1.94, 7, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2.11, 0.5, -0.1, -2\/11, 5 in increasing order.\nAnswer: -2.11, -2\/11, -0.1, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -1084  (b) -2  (c) -3  (d) 0.0119  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 526634112 divided by -3742?\nAnswer: -140736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of 4463*u**3\/6 - 247*u**2 + 2130*u. Differentiate l(w) wrt w.\nAnswer: 4463","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3 + 4 - 6 + j**2 - j. Let v(l) = l**3 + 5*l**2 - 4*l + 4. Calculate -4*h(u) + v(u).\nAnswer: u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 23 = -5*u, -d = -5*u + u - 24. Suppose 4*b - j - 2 = 2*b, -4*b + 12 = 2*j. Suppose -3*m = -d - b. What is the lowest common multiple of 2 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 474280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20910733, -83642948, -188196639, -334571806, -522768449, -752786568, -1024626163?\nAnswer: -1338287234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 200*d + 12. Is 44 a factor of g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 5*v**2 + 230*v + 440 = 0.\nAnswer: -44, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000005035 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 129 + -63. Suppose 4*j + 26 = a. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*r + 117 = -67 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*m + 34*m = -49*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 155*h**4 - 2518*h**3 - 2337*h**2 + 5992*h - 1292 = 0.\nAnswer: -2, 38\/155, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 9:04 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and 5795.045.\nAnswer: 5793.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 622.9 - 622.1. What is the fourth smallest value in 5, 0.4, -8, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -217 - -861\/4. Let r be 1*2*(-3)\/(-2). Put b, 0.3, r in ascending order.\nAnswer: b, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jgvhgqqgjqr. What is prob of picking 1 r, 1 h, 1 q, and 1 v?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -156, -3\/4, -1362.\nAnswer: -1362, -156, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 - 2*c - 5. Suppose 0 = -o + 2*o - 3. Suppose -o*l - 11 = 1. Is z(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -57 + 97. Suppose 0 = -2*o + 10, 4*a + 2*o + 6 = g. Suppose 4*z + 142 = -3*r + a*r, 4*r = -2*z + 160. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - 12c1ec8?\nAnswer: -12c1ecd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2937388428*-4.\nAnswer: 11749553712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 56807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*l*x**4 - 25*l*x**3 - 11*l*x**2 - l*x + l + 9*x**3 - 15*x**2 wrt x.\nAnswer: 72*l*x - 150*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 527576.\nAnswer: 2, 7, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 1\/5  (c) -11\/218  (d) 5  (e) 210  (f) -2  (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 + 8*z + 1. Suppose 3*v - 21 = -4*l, -4*v - 3*l = -2*l - 28. What is u(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2 + 1*(sqrt(13) + -1) - ((2*sqrt(143) + sqrt(143) + sqrt(143))*3 - sqrt(143))\/sqrt(11)).\nAnswer: -2 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 3 + 1 + h**2 - 9*h**3 + 8*h**3. What is the units digit of a(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-6 - (-9 + 17)) - 22.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 6*i - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 110784*s**3\/7 - 11299986*s**2\/7 + 288151020*s\/7 - 46818\/7.\nAnswer: 6*(s - 51)**2*(18464*s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1567, -5, 1, -1 in descending order.\nAnswer: 1567, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 117.1787 rounded to zero decimal places?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*q + 10*q = -80723 - 148571. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1121, -18, 1, 5, -3, 43 in increasing order.\nAnswer: -1121, -18, -3, 1, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 12*f - 45. Let z(p) = -14*p + 45. Give -6*l(k) - 5*z(k).\nAnswer: -2*k + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14.8 - 0.2. Suppose -2*q - 5*x + 12 = 0, 5*x - 15 = -5*q - 0*x. Which is the biggest value?  (a) q  (b) f  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -798 - -798.3938. What is r rounded to 2 dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3456 + 187*g - 3456.\nAnswer: 187*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 6*n + 124728. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 194\/9, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-7 - (4 + 1 + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 232*k**2 - 378*k**2 - 3 + 3 - 2921*k**2 in the form s + l*k**2 + u*k and give l.\nAnswer: -3067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 435 divide 66235710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(5) - (sqrt(5) + (sqrt(60)\/sqrt(6))\/sqrt(2))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.613 - 80.34631?\nAnswer: -80.95931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 213300 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {c: 2, a: 1, o: 2, q: 6, p: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 2:13 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 7*u**2 - 92*u + 670. Let s be d(8). Which is the smallest value?  (a) s  (b) 3  (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1251*h = 1244*h + 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 455 in 16\/5, -3\/5, -8?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10756 plus -42363.9?\nAnswer: -31607.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 34, 2\/7, -1.\nAnswer: -1, 1\/4, 2\/7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 + g + 4. Let x(f) = -3*f**2 + 2*f + 11. Calculate 11*v(i) - 4*x(i).\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.5, 3, 1\/33, 0.2, -0.322?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5018430*0.02.\nAnswer: -100368.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 93?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -202418471\/274120 - -65718\/89. Calculate the common denominator of -1\/3696 and m.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 422*b - 80 = 438*b + 2*f, 2*f + 50 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35, 376, 1305, 3116, 6103, 10560, 16781?\nAnswer: 25060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 298 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 879, 675, 485, 315, 171, 59, -15?\n\"Answer: o**3 + o**2 - 214*o + 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 69. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7188702 to the nearest integer?\nAnswer: 2681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.814 plus 0.5?\nAnswer: -4.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-311 + 311 + 150*u)*(-3*u**3 + 13*u**3 - u**3).\nAnswer: 1350*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/4*((-4)\/26)\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -5, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-27) + (-5845794)\/(-133083)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2184, 17551, 59296, 140607, 274672, 474679?\nAnswer: 753816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 4*i**2 - 12*i - 2. Let t(a) = -5*a**3 - 20*a**2 - 62*a - 11. Determine -4*t(l) + 22*w(l).\nAnswer: -2*l**3 - 8*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 21*w**2 + 44*w + 115. Let l be f(-19). Let j(o) = o**2 - o. What is j(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(120) + sqrt(120)*-1 + sqrt(120))\/sqrt(4))\/(sqrt(6) + sqrt(12)\/sqrt(2)*-2 - sqrt(6)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -233 + 4?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 + (29 - (32 + 37) - 27)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 13449 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + o - o)*(-1 + 1 + o**2)*(2 - o - 2)*(1 + 1 - 4).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -714 + 720. Solve 4*g - l + 0*l + 3 = 0, 0 = 2*g + 2*l - f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-18) - (-8)\/(-63). Let y = 75 + -74.7. What is the nearest to 0 in y, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oozzzzzzzzzzozz. What is prob of picking 3 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(616)\/sqrt(396))\/((sqrt(24) + sqrt(1944))\/sqrt(3)).\nAnswer: sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 10 = 0, 4*a - 8 = -3*l + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 635 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 943, 1, 8.\nAnswer: -1, 1, 8, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 328\/(-41)*(-35)\/14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*t + 63596 + 17758 = 0. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -18, -1477, -2\/17 in increasing order.\nAnswer: -1477, -18, -2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (125\/(-280))\/((-6520)\/(-187776))\nAnswer: -90\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + 1 + -3)\/((-15)\/705). Suppose -43*f + s*f = 0. Solve 4*n = -8 - f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 162 - -3141?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-3))\/(-10 + (-192)\/(-18)). Calculate the common denominator of -53\/28 and (-1)\/(560\/(-2085)) + l\/(-7).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 36.94 + 0.06. Let c = -37.000016 + t. Round c to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*p + 2*k - 68 = 0, p - k + 17 = 21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-69 - -70)*(78 + -74)\/(4\/(-11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -5*h**3 + 7885*h**2 - 3080880*h - 21954240 = 0.\nAnswer: -7, 792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 3*i - 3*l = 7, 2*l = 5*i + 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -37480007 less than -1.2621?\nAnswer: 37480005.7379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 - -18. Solve -u + 1 = -q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17586 - 10386. What is s rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i + 5*f - 34 - 37 = -36, -3*f = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7668 + 10020. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 462906 and 462982 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 7:09 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1281600, 2563207, 3844816, 5126427, 6408040, 7689655, 8971272?\nAnswer: 10252891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -6995, -6993, -6991, -6989, -6987?\n\"Answer: 2*m - 6997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-29\/2)*i*i\/i**9)**(-42\/11) assuming i is positive.\nAnswer: i**(903\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 52.6 + -51. Let x = 1.7 - q. Let f = -5.48 - -0.48. What is the closest to 1 in -7, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (163 - 540 - 283)*(19*f**2 - 17*f**2 + 59*f**2) in the form z + n*f + r*f**2 and give r.\nAnswer: -40260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -12, 3, -5, 0.275?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s + 8*s**3 - 3*s**3 - 4*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fgy when three letters picked without replacement from gfjjfy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0023633 rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v - 7. Find the common denominator of n(-7) and (-28)\/63*89\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 7, 36.31?\nAnswer: 36.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21\/40646 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 smaller than -83392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + (11 - (4 - -7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w**3\/4 + 35*w**2 = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -2143*s**2 + 6430*s**2 - 2140*s**2 - 807 - 2149*s**2 as k*s**2 + z*s + w and give w.\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0*i - 2 = 0. Suppose -2*q - 5 = i*r + r, 2*r = -2*q - 4. Is 0.1 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 1. Let k be (-6)\/(-10) - 69\/115. What is the nearest to k in 3, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**3 - 3*g**3 + 4*g**3 + (-2*g + 0*g + 7*g)*(-g + 3*g + g)*(3*g - 8*g - 7*g).\nAnswer: -181*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(204)*-1*4)\/(sqrt(300) - 1*sqrt(300)*-3).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (5 - 2 - (-2)\/1) + (-58016)\/12348 and ((-5)\/(-180))\/((-2)\/375)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3602 + 2?\nAnswer: 3604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -141355957 - -2?\nAnswer: -141355955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2356942.\nAnswer: 2, 7, 168353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -14 - (12 - -8)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (15\/6)\/(6\/12). Suppose 2*n - u*o - 22 = n, -n = -3*o - 30. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19*d**3*s**2*t**2 - d**3*t**2 - d**2*s**2 - 2*d*s**2*t**2 - 2*s**2*t**2 + 2*s*t**2 wrt d?\nAnswer: 114*s**2*t**2 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-36036)\/880)\/91)\/((-3)\/(-12))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i**2 + 5. Let k be t(0). Suppose -k = s - 2. Let g be (-2 - s)*-1 + (2 - 3). Which is the third smallest value?  (a) 1\/6  (b) g  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - ((-1)\/6 - (-1421)\/174)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.93405 - -0.06595. Which is the fifth smallest value?  (a) -6\/5  (b) 0.2  (c) -18  (d) -19  (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 1 + 4*r + 2*r**2)*(-2*r**3 + 3*r**3 + 7*r - 6*r).\nAnswer: 2*r**5 + 3*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -150 or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37 - -46. What is the second derivative of 12*m**2 + 9 - 8*m**2 + m - i*m**2 wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1039 - -1046. Let t(r) = 6*r**3 + r**2 - 1. Let g(q) = -7*q**3 - 2*q**2 + 4*q + 2. Let o(u) = u**3 + u. Let b(f) = g(f) - 4*o(f). Give w*t(x) + 4*b(x).\nAnswer: -2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -2 - (-1 - 0) - (-374 + 380).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 + -4 + (-159)\/(-78))\/(11\/(-44)). Sort 1\/7, f, -17\/13, -2.\nAnswer: -2, -17\/13, f, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of m**2*q + 4379*m**2 - 2*m*q - 2*m + 10703 wrt m?\nAnswer: 2*q + 8758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (66\/(-24))\/((-28380)\/(-6880)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 267*-0.3.\nAnswer: -80.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 c, and 1 z when three letters picked without replacement from xpcrpsrz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 113110213 - 1002203?\nAnswer: 112102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.85 - 0.8. Let n = -1.05 + y. Let z = n + -2. What is the nearest to -1 in 2\/9, 1\/6, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 2792 = -k + 3*d, -d + 11103 = 4*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -303 + 182 + 19*a**2 + 119. Let w(h) = 62*h. Give w(y(t)).\nAnswer: 1178*t**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**3 + 12*v**2 + 3*v - 17. Let r be j(-5). Let x be ((-11442)\/r)\/((-9)\/(-93)). Let n = -6575 - x. Find the common denominator of -37\/57 and n.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 21*h - 1010 = 2*l - 118, -5*h + 354 = 26*l for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 311638 or 5921114\/19?\nAnswer: 311638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123*b + 80*b**2 - 65*b**2 - 16*b**2 + 125*b.\nAnswer: -b**2 + 248*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/((-408)\/(-170)*10\/4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*n = -330 - 210 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4*t - 6 = 0. What is the highest common divisor of 12 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2560, 2537, 2510, 2479, 2444, 2405, 2362?\n\"Answer: -2*g**2 - 17*g + 2579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -23 + 8 + 30 + -35.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**4 - 2*m**3 - 68*m**2 + 168*m + 576.\nAnswer: (m - 6)**2*(m + 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of -4913*r**6\/30 - 16184*r**5\/25 - 1649*r**4\/5 + 10672*r**3\/15 - 1504*r**2\/5 + 256*r\/5 + 24. Find s such that a(s) = 0.\nAnswer: -2, 4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1350722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6483181433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 21. What is the remainder when -48*(2\/6 + -1) is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28 + 23. Let a = o + 11. Calculate the greatest common divisor of a and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 856, 862, 870, 880, 892, 906?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 10:34 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x - 6. Let g be t(-2). Suppose g*a + a + 75 = 5*f, -2*a - 38 = -2*f. Calculate the remainder when 18 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 - h + 2. Let w be s(0). Suppose 0*f - 1 = -4*f - r, 2*r + 6 = 0. Solve -v - w*u - f = 0, 28 + 12 = 5*v - 5*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/8 - (-1)\/2. Suppose g + 46 = 3*p, -2*p - g + 64 - 25 = z. Let m = p - 0. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1022636 is divided by 340216?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 38911857959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9904 + 2086. Suppose 9*f - d = 9727. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6674665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.44?  (a) -5  (b) 6.7  (c) -0.4  (d) 0.03  (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.468 - -0.032. Let t be -94*3\/90 + 3. Which is the fourth smallest value?  (a) 3\/7  (b) t  (c) v  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m + 438 - 438 + (4 - 4 - 1)*(0*m + m + 0*m) + 5*m + m + 3*m + 5*m + m - 5*m in the form o + w*m and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 4*i**5 + 400*i**4 - 1668*i**3 - 400*i**2 + 1664*i = 0.\nAnswer: -104, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 4 = -6. Suppose -a + v*a = 72. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - 49*k**2 + 49*k - 53. Determine u(-50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -879 + 4368\/5. Find the common denominator of (1 + 0)*76\/12 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/10 and 101\/2902?\nAnswer: 14510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/6)\/(((-17888)\/(-156))\/86).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -22, -21, -20, -19?\n\"Answer: u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102615.\nAnswer: 3, 5, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.83044 times -2.5?\nAnswer: 17.0761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from gnnspsmh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -12 + -3 - (-3 - 0) - (31 + -39)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(-6)*(-4250)\/1275\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10255*a**4 + 107*a wrt a?\nAnswer: 123060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33723020 by 4.\nAnswer: 8430755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 6*i**3 - 10*i + 24. Let b(a) be the first derivative of -a**4\/4 + a**2 - 5*a - 22. Give -14*b(m) - 3*d(m).\nAnswer: -4*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2082\/8)\/(69\/184). Let h be p\/(-6) + (-80)\/(-120). Is h bigger than -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7848)\/52974)\/(16\/126)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d + 276. Let y be g(46). Let t be 17710\/y - 1\/3. Calculate the greatest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -3\/4  (b) 12\/3209  (c) -8570\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 102*o + 53. Let p(q) = 102*q + 57. Let b(x) = -2*i(x) + 3*p(x). Find the first derivative of b(v) wrt v.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 16 = 3*b, 14*c - 11*c - 17 = -b. Suppose -3*g = -4*d + 22, 17*d - c*g = 13*d + 18. Solve -11 = d*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*s + 3*s = 6, -8 = -2*s. Let f be 10*1\/j + -3. Let m(t) = -t**3 - 6*t**2 - t - 6. Let o be m(-6). Sort o, f, -4 in decreasing order.\nAnswer: f, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = l - 15. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33681 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.303 times 87779\nAnswer: -26597.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -13*w**2 - 1 + 3*w**2 + 8*w + 7 - 2 + w**3. Let q be y(9). Sort q, -15, -3 in decreasing order.\nAnswer: -3, q, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10 + 4\/(-2))\/(-1). Let q be z*(-2 + 10\/3). Suppose -13 = -w + q. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/6 and 23\/481949.\nAnswer: 2891694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 166 - 82. Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0, 1\/121, 1, 2, 352\/19.\nAnswer: -0.5, 0, 1\/121, 1, 2, 352\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 158252631 to the power of 1\/3, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -10 - -1 - (-20 + -7). Let w(v) = v. Let r be w(7). Let z = g - r. Solve 5*b + z = p, 4*p = 2*b - 0*b + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 - (61 - (1 - -23))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -804749*s = -804513*s - 4484 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -58.5635 - 445.2705. Let u = 504 + o. Round u to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -7, 12840, 1, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*z + 418*z**2 - 16*z + 85*z**2 + 36*z to the form h*z + k + g*z**2 and give g.\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/2 in 8, -3, -13\/551?\nAnswer: -13\/551","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -18*g**2 - 9*g - 7. Let b(f) = -9*f**2 - 4*f - 3. Let y(o) = -9*b(o) + 4*s(o). Differentiate y(p) wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 590761.4 centuries to decades.\nAnswer: 5907614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -442*j - 1791. Let d(o) = 2209*o + 8957. Let b(a) = 2*d(a) + 11*t(a). What is the derivative of b(x) wrt x?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 419 a factor of 1562701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -31663934.\nAnswer: -126655736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -1, 8\/13, -8\/9 in descending order.\nAnswer: 8\/13, -0.5, -8\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166275 is divided by 2737?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 18*a + 67. Let c be g(-13). Let j = -4 - -12. Let b = j + 4. Solve 3*s = -c*l - 6, 3*l - b = 3*s + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -1 + 3*x + 2*x**2 - x + 12 + 2*x. What is the units digit of k(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p - 3 + p**3 - p**2 - 2*p**4 + 2 + 4*p + 0*p to m*p**2 + r*p**4 + x + w*p + g*p**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -119 + 119.1. Which is the smallest value?  (a) 4  (b) 3\/7  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3415209765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -18294\nAnswer: -1\/9147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (50 + -56)\/(3\/(-11)). Suppose 3*k - 165 = -0*k. What is the greatest common factor of k and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7398423, -7398429, -7398437, -7398447, -7398459?\n\"Answer: -y**2 - 3*y - 7398419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of -u**6\/30 - 3*u**5\/20 + 3*u**4\/4 - 5*u**3\/6 - 4*u. Find z, given that w(z) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 + 3*n + 6. Let t(c) = 4*c - 12. Let s be t(5). Suppose 0 = -s*h - h + 54. What is u(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 83 (base 10) to base 14\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 239503634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(120)\/(sqrt(6) + sqrt(24) + sqrt(48)\/sqrt(2) - sqrt(6)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xixi when four letters picked without replacement from eiexuegeigixgxdiii?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1112110021 + 12111?\nAnswer: 1112122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1066 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 46.7 - 46.4. Sort -0.3, -5, c, 3.\nAnswer: -5, -0.3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -8*1\/3*(-49 - -40). Let q(n) = -2 - n - h*n + 28*n - 3*n**2. Determine q(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 4*y**2 + 17*y + 13. What is f(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6419850 - 6419849.4100253. Let o = -586.41 + 587. Let r = y - o. Round r to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2*i - 3)*(4*i + 6*i - i)*(1 + 2*i - 1) as w*i**3 + o + c*i + z*i**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201 = -5*h - k, 5*k = -h - 0*k + 21. Let u = -29 + h. Calculate the common denominator of -57\/2 and (-3)\/u + 26\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592401 divided by -1641?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 9:15 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f + 24. What is a(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 183588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3*h**2 + 45*h - 2. What is the units digit of b(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 776327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2. Let r(h) = h**2 - 10*h - 26. Let w be r(12). Let v(c) = -c + 11. Let f(i) = w*v(i) + 18*k(i). Let m(b) = 1. Determine 2*f(u) - 28*m(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 17*f**2 - 13*f + 8. What is k(16)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -63*f**3\/5 + 758*f**2\/5 - 2292*f\/5 + 72\/5.\nAnswer: -(f - 6)**2*(63*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -31 or 379004?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 347*v - 2576340 - 4360190. What are the prime factors of v?\nAnswer: 2, 5, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 + (-2 - (-6 - (10 + (-8 - 4))))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*b + 4*b - 4*h + 64, -4*h - 64 = -5*b. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-6\/11)*w*w)\/(w\/w**(-2\/5)))\/(w**(6\/11)\/w**(-11)) assuming w is positive.\nAnswer: w**(-632\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from memqdreded. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3172\/(-15912) - 6\/(-162)*3. Sort -1\/3, f, 7\/3, -5 in increasing order.\nAnswer: -5, -1\/3, f, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -471 - 4*u - 441 - 470 + 5*u + 1387.\nAnswer: u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-2))\/(-3)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ajr when three letters picked without replacement from {m: 2, a: 2, r: 2, d: 1, j: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 8, -40 - 55 = -5*o + 5*j. Solve -3*n - 3*d = -6*n + o, -5*n = -3*d - 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-850)\/(-6))\/1 - 94\/141. Let j = a - 33. What is the remainder when j is divided by (-1 + (-78)\/(-4))*2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12119568563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/18*9\/(-48)*-40.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 18b27b8 - -35?\nAnswer: 18b2820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 8 = 9*c. Let z be (-4*(-2)\/20)\/(c\/5). Suppose -4*o + 0*s - s + 8 = 0, -3*o + s - z = 0. Which is bigger: o or 6\/31?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 2*v**2 + 7*v - 24. Let r be q(4). Let n be -3*2\/(-9)*r. What is the greatest common factor of 264 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001011010011000 + -100000011110?\nAnswer: 1000111001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of -p**9\/13608 - p**8\/3780 - p**7\/3780 - p**3\/3 - 9*p**2. Let z(t) be the first derivative of d(t). Solve z(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2581 is divided by 474?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (102\/15)\/(1585\/7925)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 42 = 3*c, -28*c - 5*s = -54*c + 31*c + 80 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/150289897 - -75690049956491\/5410436292. Let d = -13992 + q. Find the common denominator of d and -19\/7.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {v: 1, r: 2, k: 1, g: 2, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of m**3\/6 + m**2\/2 + 22*m + 1. What is g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77666 is divided by 19406.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 4.5. Let l be 2 + 38\/16 - (1 + 2). Let d = l + -101\/56. Which is the smallest value?  (a) v  (b) d  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)*2*-2)\/(4*sqrt(60)\/sqrt(5)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28 + 32. Suppose -q*d = 2*l - 90, d + 65 = 4*l - 2*l. List the prime factors of (l + -7)\/(2\/5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4945*p**3 - 6*p**2 + 4937*p**3 - 11*p**2)*(7 - 4 + 3).\nAnswer: -48*p**3 - 102*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-54)*-4 + (-43)\/9. Which is smaller: -6 or w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1091, -2161, -3221, -4265, -5287?\n\"Answer: k**3 - k**2 - 1074*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, 60, -30, -24 in decreasing order.\nAnswer: 60, 1, -3, -24, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 25\/7 - 18\/(-42). Suppose -2*z + r - 6 = 0. Let q be (-9)\/(-30)*(-5)\/6. Is q greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -175 and 0.05239 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (2520\/108)\/((-2)\/6) + -841 + 864\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 28, 23, -6, -65, -160, -297, -482?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*a + 506*a - 29*a)*(-3*a + 3*a - 2*a) + 3 - 3 - a**2 + 0 + 0 - a**2.\nAnswer: -942*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9681047.\nAnswer: 491, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.511 + 6.111. Let o = 27.02 - 27. What is the closest to -1 in o, 6, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2.97, -1, 5, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*n + 5*n + 13 - 1 to the form d + q*n and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47 + -23. Let p(t) = t**2 - 3*t + 2. Let u be (1\/((-3)\/18))\/(-2). Let f be p(u). Solve 0 = -2*x - 0 - 4, 4*m - f*x = j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t. Let b(w) = -2*w**2 + w**2 + 0*w**2. Give o(b(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 31628761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - -14. Let f(x) = 2*x**3 - x**2 - 3*x + 2. Let w be f(u). Solve 4 = -4*n + w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 25525145182.515 from 29.\nAnswer: -25525145153.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4962.1151 - -4960. What is y rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 320 divided by 15414\nAnswer: 160\/7707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 5*s = -17, -2750*s + 2752*s + 2 = 4 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 4*d + 13. Let h be f(-3). Let i be h\/(-2)*-2*-35. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121*h + 153*h + 6498 = -209*h - 101*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 + -11. Let k = 12 - f. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5337701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v**3 - 123*v**2 - v - 32. Calculate w(-41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 12438573.\nAnswer: -3, 0, 12438573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.01?  (a) -6\/7  (b) -2\/11  (c) 0.3  (d) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/12649644 and -34\/74235.\nAnswer: 63248220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 22300000 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1448148699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2646*k**3 + 378*k**2 - 18*k + 2\/7.\nAnswer: -2*(21*k - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 3) + (2 - 2) + 96. Let o = -371\/4 + k. What is the common denominator of o and 53\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/6 and (-4)\/(-34)*22\/(-8).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -2*a**2. Let l(w) be the first derivative of 5*w**3\/3 + 2. Give l(b(s)).\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -26586\/27397?\nAnswer: -26586\/27397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 13471 + -4?\nAnswer: 13468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f - f + 2*f)*(f + 0*f + 4*f + 2*f**2) - 2*f**3 + 4 - 4 + (-f**3 - 5*f**3 + 4*f**3)*(-3 + 1 + 0) + 18*f**3 + 3*f**3 + 0*f**3 - 4*f**3 + f**3 + f**3.\nAnswer: 19*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (903\/14)\/(-43)*104\/48.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, d: 3, c: 8}. What is prob of sequence hc?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 614482522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 2. Let v = 15318 + -107413\/7. Let j = 27 + v. Is w at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 103957698 by 39.\nAnswer: 2665582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((((-6)\/126)\/((-2)\/12))\/1)\/((-25)\/125).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.02863 - 0.5\nAnswer: -0.52863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3113 and 7641?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -64\/18831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3\/2*h**5 + 0 - 3\/2*h - 9*h**3 - 6*h**4 - 6*h**2 = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414537585 rounded to the nearest 10000?\nAnswer: 414540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 511802319 by 581.\nAnswer: 880899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 145068, 145073, 145082, 145095, 145112?\nAnswer: 145133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 5:54 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 81, 275, 651, 1269, 2189?\nAnswer: 3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - -20?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 51\/8 of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3043 less than -744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -45*s**3 - s - 8. Suppose -5*x - 2*q = 18, q + 24 = -4*x - 3*q. What is the tens digit of h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of 15*h**2 + 5\/24*h**4 + 0*h - 1\/60*h**5 + 0 + 7\/6*h**3. Give r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 491732914 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6596930 to the nearest integer?\nAnswer: 2568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656362671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 4*h**2 + 3*h - 10. Let a be o(4). Solve -2*y - a*j = -3*y + 6, 0 = 5*y + 5*j - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2334*p**4 - 396*p**3 + 12*p**2 - 150805*p + 764 wrt p.\nAnswer: 28008*p**2 - 2376*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 633504884 to the nearest integer?\nAnswer: 25170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 4*g - 31 = 0, j + 2 = 5*g + 19. Let h(i) = -i**3 - 2*i**2 + 1. Calculate the least common multiple of j - (-1 + (-18)\/3) and h(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 + 39*p**2 + 30*p - 51. What are the prime factors of h(-35)?\nAnswer: 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 7*r = 0, 0 = -4*y + 4*r. Solve -x - 9 = 126*w - 130*w, 2*x - w - 3 = y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*z**3 - 11 - 25 + 36.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - n = 2. Suppose -n*t + 2*p + 86 = t, 4*t + 3*p = 92. Suppose 3*k + 52 = 7*k. Calculate the highest common divisor of t and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 202 = -x, 5*x - 7 - 3 = 0. What is the greatest common divisor of o and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 6*u**2 - 8*u - 3*u**2 + 0*u**2. Let v be c(6). Let l(i) = -i**2 + 9*i - 8. Let n be l(6). Calculate the highest common factor of n and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u - v - 1, -3*u + 23*v + 18735012 = 18734940 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1033313311 (base 4) to base 10.\nAnswer: 327157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2122 = 4*s, -3*b + 8411 - 2090 = 3*s. Suppose d - 422 = n, 3*n = 5*d + 6*n - b. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 892 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -60738*u**3 + 583*u**2 + 583. Let i(j) = -416*j**3 + 4*j**2 + 4. What is 583*i(k) - 4*q(k)?\nAnswer: 424*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(171) + (sqrt(171) - (sqrt(171) - sqrt(171)*2)) + sqrt(171)) - sqrt(171))\/(sqrt(9) - 5*sqrt(9)*3).\nAnswer: 13*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11112928 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 66040.61 millilitres?\nAnswer: 66.04061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (5400\/1080)\/((10\/(-4))\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -7332 to the nearest one hundred.\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-1)\/w)\/w)**(-2\/29)\/(w**(-2\/15)*w*(w*w\/(w*w**5))\/w))\/((w**(-1)*w)**(-30)\/(w**(-1))**(-48)) assuming w is positive.\nAnswer: w**(22768\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -5, -3 in ascending order.\nAnswer: -17, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1211792\/9 or -134643?\nAnswer: -134643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of -7*j**3\/3 + 7*j - 72. Let v(l) = -13*l**2 + 13. What is -11*t(p) + 6*v(p)?\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 269137268 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -8461 times 0.48\nAnswer: -4061.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3*a = 37, -3*a + a + 100 = -5*v. Let y = v + 28. Suppose p - 8 - y = 0. What is the highest common factor of p and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -1179*m**5\/5 + 1407*m + 1242. Differentiate d(g) with respect to g.\nAnswer: -4716*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*n**4 + 0*n**4 - n**4 + (5 - 5 + n**2)*(-2*n**2 + 0*n**2 + 5*n**2) + 2*n**4 + 2*n**4 + 2*n**4 + n**2 - n**2 + 4*n**4 + 35*n**4.\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of y**4\/12 - y**3\/3 + 21*y**2\/2 - 307*y. Calculate q(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 37*w + w - 1203 + 1197 + (2 - 2 + w)*(-3 + 2 + 2).\nAnswer: 39*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 2\/163  (c) -4\/7  (d) 183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 951 = -5*k, 0*b = 3*k - 4*b - 577. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-21))\/k*k*k*k\/((k\/(k*(k**(2\/33)\/k)\/k))\/k*k)*k)\/(k**(4\/3))**(-27\/2))**(-4\/21) assuming k is positive.\nAnswer: k**(124\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of -1\/15*q**4 - 9*q - 2\/15*q**3 + 0*q**2 + 0 - 1\/100*q**5. Solve d(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 153 = 3*p, -d + 4*d + 12 = 0. Suppose -60*c = -p*c - 201000. What is c rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 6*a**4 - 1. Let k be (1\/(-5) + -1)\/(30\/150). Let o(x) = -3*x**4. Let j(z) = k*c(z) - 14*o(z). Differentiate j(q) with respect to q.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1670 + -1645 - (-1 - -59)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**5\/4 + 135763*c**4 - 18445977429*c**3 + 3905972106760*c**2 - 206935705267600*c = 0. What is c?\nAnswer: 0, 106, 271420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n**2 + 4*n. Let a(s) = -6*s**2 + 12*s. What is -2*a(q) + 7*t(q)?\nAnswer: -2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/73  (b) 4\/5  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.843 and -0.053.\nAnswer: -0.044679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 805204?\nAnswer: 2, 47, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 3)*(-3*s + 3*s + 3*s) + 2 - 4*s - 2.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12\/33 - 184092\/(-253)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -3 - 4*t - 1\/2*t**2. Give j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 2*h + 4, 0 = -c + 3*h - 8*h - 14. Let r(j) be the third derivative of -j**6\/120 - j**5\/30 + j**3\/6 - 36*j**2. Give r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40040595?\nAnswer: 3, 5, 7, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4037\/1101*(124 - 1) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -102*j + 212*j - 110*j + 155*j**2 in the form d*j + t*j**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 22 in -47, -2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 80 and 40920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-13)\/(-312)*8*(-3)\/7. Let i = -330 + 4952\/15. Let g be (8\/6)\/((-4628)\/78). What is the smallest value in g, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = -51*v + 254, 59112*v - 59113*v + 3*q = -8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 5*j + 3*p + 52, -2*j - p + 26 = 0. Suppose 5*v + 49 - 234 = 0. Calculate the remainder when v is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -118*u + 20. Determine y(2).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1192005 by -15.\nAnswer: -79467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/23))**(3\/26) assuming s is positive.\nAnswer: s**(3\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/4 and -41\/40175224.\nAnswer: 40175224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 28864641 divided by -28864641?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7743 is divided by 310.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3230104 (base 5) to base 12\nAnswer: 27a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + -1321112?\nAnswer: -1321113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 25, 2*q - 4*d + 8 = -20. Which is the nearest to -9?  (a) 0.3  (b) q  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 3506193?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1660*q**2*u**2 + 52080*q**2*u - 2*q*u**4 + 2*u**2 wrt u?\nAnswer: 3320*q**2 - 24*q*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -119 - -123. Let y(c) = 20*c + 6. Let b be y(m). Let l = 73 - b. Which is bigger: l or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - -6 - -8) + 13\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 + 31368*s**2 + 188127*s + 282150.\nAnswer: 3*(s + 3)**2*(s + 10450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -276*c**4 + 1 - 4*c**2 - c + 35*c + c**2 + 1 - 35*c to the form r*c**4 + i*c**3 + o + s*c**2 + m*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13596*v + 13598*v = -4*b + 34, 37 = 5*v + 2*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/12 - 5\/20. Is 4\/17 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 4  (b) -0.3  (c) -118886\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -348 divided by 58.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 16, s: 2}. What is prob of picking 3 u?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 276\/28 - (14\/(-14) + 11). Which is the nearest to 149?  (a) 11  (b) 4\/7  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61934240 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(4\/15))**50*(q\/(q*q**(4\/33)*q))\/(q**(5\/8)*q) assuming q is positive.\nAnswer: q**(2795\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1818 + 21822?\nAnswer: 23741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/48 and 4869\/(-1188) + (-4)\/(-22)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, -6.48, -494?\nAnswer: -6.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 4 = u - 2*u, -5*m = 2*u - 8. Let t = -391\/77 + 33\/7. Is t greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 4*p - 3*t - 23, -5*p = 3*t - 28. Sort p, -6, 5.\nAnswer: -6, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -487.2992 to the nearest integer.\nAnswer: -487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 30628 and -3?\nAnswer: -91884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7753041 and 8028?\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 101 = -0*o + 4*u, 4*u + 47 = o. Let i be (12*1)\/(o\/(-834)). Let t = 374 + i. Which is greater: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, s: 7, i: 1, r: 4, m: 1, x: 2}. What is prob of picking 1 r, 1 m, and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 660\/99*36\/(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 888280 and 103880?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 - 22 - 854*u**2 + 11 + 0 in the form n + c*u + l*u**2 and give l.\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.11 + -0.09. Let i be 21\/(-12) + 3 - 1. What is the smallest value in i, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 192 + -77. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 159*f - 1845. What is u(9)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 518 is divided by 189.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -11907*m**3 + 679455*m**2 - 43104*m + 684 = 0?\nAnswer: 2\/63, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (648\/(-20))\/((-4)\/30). Let w be 4 - (4 - 1) - 1. Suppose 10*o - 7*o - z = w. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 462740 and 3516824.\nAnswer: 17584120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r + 1. Let z be g(-1). Calculate the smallest common multiple of 12 and -28*z\/6 - 0.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7650 greater than -7650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 556686 is divided by 6326.\nAnswer: 6324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3*(sqrt(1300) + 1*(sqrt(1300) + sqrt(1300) + -2)) + 0 + -1 + -4)**2.\nAnswer: -1980*sqrt(13) + 105421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -86 + 125 - 145 - -83.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*u - 467 + 557 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -62 - -62.8. What is the closest to j in -5, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1588387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 2 - (-2 + 5 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 21598118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 365 divide 7450701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = d + a + 2, 0 = 5*d - 3*a - 26. Suppose 5*w - 6 - 19 = -5*s, 3*w = -s + 11. Calculate the remainder when d is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24436*i + 24436*i - 35*i**3.\nAnswer: -35*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 112183 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 580559044 divided by -34\nAnswer: -17075266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0*(-4 - (-3 + 0)))\/2. Find the second derivative of -2*h**2 + q*h**2 - 7*h**3 + 0*h**2 - h**3 + 41*h wrt h.\nAnswer: -48*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -1. Let w = 0.0896 + -0.3896. Which is the biggest value?  (a) r  (b) -3\/5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*y**2 - 4*y**2 + 5*y**3 + 4*y**3 as x*y**2 + k + h*y**3 + s*y and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49 + 37. Let l be w\/(-7) + 30\/105. Solve 0 = -s + 3*s - l*k, 3*s + 2*k + 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f - 5*v - 22, 0 = -5*f + v + 9 - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1893 - -17039\/9. Which is the nearest to -1\/5?  (a) -22  (b) v  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -3*r**3 + 5*r + 4. Let z(q) = 6*q**3 - 2 - q**3 - 2*q - 3*q**3. Calculate -2*f(u) - 5*z(u).\nAnswer: -4*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*i**3\/11 - 104*i**2\/11 + 194*i\/11 + 76\/11 = 0. Calculate i.\nAnswer: -19, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 7  (b) 3\/2  (c) 5  (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 143 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 38*y*z**2 - 7*y*z - 3043*z**2 wrt y.\nAnswer: 38*z**2 - 7*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 11:00 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 5*g - 4 - 17, -5*g = -5*p + 30. Let v(x) = 4*x**2 + 2*x - 1. Let l(b) = 4*b**2 + b - 1. Determine p*l(k) - 2*v(k).\nAnswer: 4*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8514571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*t - 30 - 18*t + 7*t in the form m + u*t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 64*t - 57*t + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 63 + -43. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 34*q - 3. Suppose 5*g + 6 - 31 = 0. Is f(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91004 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-880)\/(-3780)*18.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + h - 6 + 20 = 0, 23 = 2*u - h. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*p + 104*p = 121. Calculate the remainder when 71 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -94 - -80.2. Let g = 14 + o. Let s be (-3)\/(-108) + 2\/9. What is the nearest to s in g, -5, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 4 - (64 - 63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 5*w**2 + 9862*w - 19727. Determine f(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 10:35 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5884*l - 17*l**3 - 16*l**3 + 31*l**3 + 0*l**3 to the form y*l + a + h*l**3 + z*l**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -6*4\/18*33\/(-66)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 2)*(2 + 1 - 1)*(-982*v - 920*v + 2468*v) as j + w*v and give w.\nAnswer: -2264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -h + 4*k + 8, 4*k + 17 = 5*h. Which is smaller: h or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 893501 (base 10) in base 8?\nAnswer: 3321075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9692430 by 3795.\nAnswer: -2554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -2*x - 19*v + 20*v, 5*v + 18 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x + 3. Let v be m(1). Suppose -u + 20 = n, 6*n - 42 = -v*u + 2*n. Solve o - 5*r - 11 - u = 0, 5*r + 50 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2131, -2159, -2207, -2275, -2363, -2471?\nAnswer: -2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 3:46 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 7*o**2 - 8*o - 9. Let j be z(-6). What is the third derivative of -j*i**5 - 2*i**2 - 2*i**5 + 2*i**5 - i**2 wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.38381 rounded to 2 dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -54.5 * 11833.\nAnswer: -644898.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 30, -5, 3, 8, 10, 4.\nAnswer: -5, -4, 3, 4, 8, 10, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23*a*l**4 - 3*a*l**2*u**2 + 5*a*l**2*u + 9*a*l*u**2 + 69*a*u**2 + 2*l*u**2 wrt l?\nAnswer: 276*a*l**2 - 6*a*u**2 + 10*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1232393*l**5 + 461638*l + 9 wrt l.\nAnswer: 24647860*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26174 (base 9) to base 15.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -63686, -63226, -62764, -62300, -61834?\n\"Answer: c**2 + 457*c - 64144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -386 by 1.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 697.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of 11*o**9\/60480 + 7*o**6\/360 - 9*o**5\/20 - 9*o**2. Let y(c) be the third derivative of r(c). Differentiate y(m) wrt m.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 57, 218, 487, 864, 1349, 1942, 2643?\nAnswer: 3452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 13) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92007360?\nAnswer: 2, 3, 5, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4825 and 12365.\nAnswer: 11932225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 8*t + 3. Let k be ((-20)\/16)\/(3\/(-12)). Suppose -5*f - 15 = 0, 2*f = -k*b + 5 - 1. Suppose -3*c = -2*c + b. What is w(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 2*z = -z + 145, 4*i - 3*z - 127 = 0. Calculate the remainder when 93 is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -78\/11 + 412\/55. Let i be (1 - -1)*(0 - -1). Which is the second biggest value?  (a) 0.3  (b) i  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*l + 28 - 166 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2088583, -2088386, -2088057, -2087596?\n\"Answer: 66*n**2 - n - 2088648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + 6)*(-24)\/10. Let j = -1076 + 614. What is the remainder when 6\/(-4) + j\/c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 j when three letters picked without replacement from {j: 3, x: 5, d: 1, s: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37590 + 187951\/5. Suppose 78 = -5*o + 18. Which is the third smallest value?  (a) -5  (b) y  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4246929742.\nAnswer: 2, 11, 19, 10160119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u*u**(2\/7))\/u)\/((u**(-6)\/u)\/u))\/(u\/(u*u\/(u*u**1)))**(1\/3)*u\/u**(-4)*u\/(u\/(u\/(u\/((u\/(u**(-4)*u))\/u*u))))*(u*u**(2\/3)\/u)**18 assuming u is positive.\nAnswer: u**(629\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 2*k - 2*g - 136, 2*k = -5*g + 37. Suppose k*x**3 - 9*x**3 - 13*x**3 + 2*x**4 - 2*x**2 - 4*x = 0. What is x?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/3 + 446104*c\/3 + 49752194704\/3.\nAnswer: (c + 223052)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 348742?\nAnswer: 2, 127, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l - 2*l - l**2 - 2*l**2 - 3*l**2 + 4*l**2 + 2 + l**2 - 2 + (3 - 2 - 3)*(l**2 + l**2 + 0*l**2) + 3 - 3 - 4*l**2 - 1 + 4 + l**2 - 1 + 4*l.\nAnswer: -8*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 171517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11836\/5649*(-48)\/44?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*t - 39*t = 5*b + 21, 2*b = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 8:48 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -q + 2*p, -4*q + p + 14 = -p. Let b(z) = -z**2 + 4*z + 19. Let o be b(-3). What is the nearest to q in -1\/9, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -114167.2 times 0.2\nAnswer: -22833.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 257558 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/1481856 and 127\/2304.\nAnswer: 8891136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 53) + -2 + 29 - 9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.349703973 to 2 decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 8860  (b) 34  (c) 3  (d) 1\/7  (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 7*d + 3. Is 6 a factor of a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 9*j - 31. Give l(14).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, t: 3}. Give prob of sequence tttf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, r: 1, j: 1, n: 5}. Give prob of sequence vrj.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d + d**3 - 9 + 8 - 6*d**2 + 8. Calculate the remainder when q(7) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5230 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1223 + -55?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 - 0.016094917.\nAnswer: -0.216094917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 51239 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 22*h - 29. Let q be u(13). Suppose -6*r = -139 - q. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 70 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 9 - (-5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((g**(-11)*g)\/g))\/(g*g**(-11))*g**(-5)*g*g*(g\/(g\/(g**(-6\/13)\/g)))\/g assuming g is positive.\nAnswer: g**(215\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.85 + 0.75. Which is the nearest to -2?  (a) u  (b) -2\/5  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3672200 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 110 (base 2) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 753*s**2 - 38*s + 50. Let x be y(3). Round x to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 - 9*u**2 + 9*u - 10. Let p be t(-10). Suppose -4*o = 2*a - 49 - 1, -3*a + 2*o + 83 = p. What is the highest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000204881256 rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) 2  (b) -4\/11  (c) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of y**5\/60 - y**4\/12 - 2*y**3\/3 + 48*y**2 + 6. Let m(b) = b**2 - 2*b - 3. What is -3*k(h) + 4*m(h)?\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2778 - -203886.\nAnswer: 206664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2642*p + 3509 = 2521*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 72 - 55. What is the remainder when 49 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76644028 divided by 188?\nAnswer: 407681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 + 3*y**2 + 5*y - 1. Suppose 16 = 4*m - 0. Let x be s(m). Solve -j - 2 = x*i, -2*i = -j + 5*j - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40424 (base 14) to base 2.\nAnswer: 100101101101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 0.6, -2\/11, 0.1, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44)\/(-891)*(-16245)\/(-1444).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 - (0\/(-3) + 3). Suppose -6*s + 3*s + 6 = l. What is the tens digit of (s\/6)\/(4\/156)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -14*a**3 - 4*a**2 + 17*a + 27. Is i(-8) 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 -135, -130, -123, -114, -103?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -10 - -227c3?\nAnswer: 227b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -10*n**3 - 6*n**2 - 6*n + 3. Let t(w) = w**3 + w**2 + w. Let v(c) = -j(c) - 6*t(c). What is the first derivative of v(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -871790*i**2 + 9264*i - 22186*i**2 + 28756228*i**3 - 1 - 31.\nAnswer: 4*(193*i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 3 t when four letters picked without replacement from ybbtytbytyybyytt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3090156 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus 514?\nAnswer: -513.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 24  (b) 1.1  (c) -5  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -4, 2\/15, -1\/7, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -188*m**2. Let a be q(1). Let c = a - -611. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2\/19  (b) 543  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 4*v - 0*r - 36, -40 = -3*v + 5*r. Suppose -v - 41 = -3*i - n, 2*n = i - 24. Is -3 - (-1)\/(1\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((23 + (-13)\/1 - 13) + -9)*6 - 0\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -112 - (3 + (2 - 4)). Let v = t + 793\/7. Factor -v*d**2 - 4\/7*d - 2\/7.\nAnswer: -2*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5345\/3 - -1782. Let h(y) be the second derivative of s*y**6 + 0*y**2 + 0 + 5*y + 1\/4*y**5 + 0*y**4 + 0*y**3. Factor h(g).\nAnswer: 5*g**3*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-10))**(-10) assuming x is positive.\nAnswer: x**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/3)\/((-112)\/2352)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/14 and ((-1)\/5)\/((-4)\/(-1 - -133)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.3620471l?\nAnswer: 362.0471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 338 + -122. Is x a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**41\/(p\/(p*p**(-40)\/p)) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 5108 + 3520 = 0. Round r to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(416)*2)\/(sqrt(2) - (sqrt(128) + (sqrt(128) - -3*sqrt(128)))).\nAnswer: -8*sqrt(13)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i + 4. Let x(s) = -3*s**3 - 2*s - 1. Let u be x(-1). Let o be q(u). Let y = -2 - -2. Sort y, 3, o in decreasing order.\nAnswer: 3, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2115 - 2101. Solve -w = -5*v + z, 2*v + 8 = -4*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, n: 1, j: 4, h: 1, d: 1}. What is prob of picking 2 h and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, i: 4, u: 1, q: 1}. Give prob of sequence us.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**3 + 99*z**2 - 48*z + 59. What is k(-50)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 28255207, 56510415, 84765623?\n\"Answer: 28255208*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 3 + 2)*(3 + 2 - 1)*(-2*i - 25 - 3*i**2 - i + 27).\nAnswer: 24*i**2 + 24*i - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - 2*f**2 + f + 2. Let r be z(-2). Suppose 2*p + 22 = -4*q - 24, r = 3*q - 2*p + 38. What is the units digit of (q\/2)\/(3\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 times -47\nAnswer: 3.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d. Suppose 4 = -4*h, -v + 4*h + 7 + 0 = 0. Let m be ((-120)\/28)\/(12\/(-84)). Let c(f) = -3 + v + 31*f**2 - m*f**2. Calculate b(c(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 + 7*m**2 + 4*m + 4. Let p be c(7). Suppose 5*l + g - 26 = -g, -4*g = -5*l + 8. What is the greatest common factor of l and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -117350571*x**5 - 12*x**2 - 69*x - 15139?\nAnswer: -7041034260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 3*l - 4*n, 6*l + 269*n - 268*n = -10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -40393\/3 >= -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 185 + -165. Calculate the remainder when 581 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 86 = -2*y + 2*f, 2*f = 0. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1305 - 741. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 5*f + 91. Calculate the remainder when z(10) is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 AM and 11:14 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.6 times 0.0281?\nAnswer: -0.69126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115428 + 28854 + 28861 + 5*p + 28849 + 28864.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-6\/7)*y)**(-1\/51)\/((y*(y\/(y*y*y**8))\/y)\/(y\/y**(7\/3))) assuming y is positive.\nAnswer: y**(912\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-174)\/(-15) - 4\/(-10). Suppose -5*p = 2*w - 3*p - 42, -5*w = 4*p - 100. Solve 4*a - w = 4*o, 7*a - 4*a = t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25510027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 24\/(-45) - 4\/(-6). Let b = 0.9 + -1.2. Let a be 1 - (2 + 0)\/(-2). Sort d, a, b in descending order.\nAnswer: a, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(2\/7))**(-11))**(17\/4) assuming d is positive.\nAnswer: d**(-748\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s + 1000*s**3 + 1258*s**3 - 913*s**3.\nAnswer: 1345*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 10, 5, 9.\nAnswer: -3, 5, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + m**3 + (4 - 2 + 7)*(2*m**3 + 2*m**3 - 3*m**3))*(-3*m + 6*m - 2*m).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2 = 2*b. Differentiate -3 - 3*n - b*n + 0*n wrt n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 92213237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -12*g**2 - 192*g - 1270. Give d(-10).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1444, 2880, 4316, 5752, 7188?\n\"Answer: 1436*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rtpyqqm. What is prob of sequence qyrq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbgegpbkwwe. What is prob of sequence pgkw?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -u - 9, -d = -5*d + u. Let x be ((-10)\/8)\/(d\/(-12)). What is the least common multiple of 10 and 10*(36\/x)\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5151, 10318, 15473, 20610, 25723?\nAnswer: 30806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*f**3 + f - 15*f**4 + 15*f**2 + 17*f**4 - 3*f**3 + 13*f**3 + 0 + 1 in the form l*f**2 + r*f**3 + g*f + s + b*f**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-2*((-4*(sqrt(605) - (-3 + sqrt(605))))**2 + -5).\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -o, 451 = 5*j - 2*o + 1400. Let a = j - -236. Calculate the remainder when 138 is divided by a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*q + q = -78, -4*l - 297 = -3*q. Let b be ((-2)\/(-6) - 0)\/(l\/135). What is the smallest value in b, 1, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 376, 359, 332, 295?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 58 - 42. Find the third derivative of 47*c**3 + 3*c**2 - 41*c**2 - i*c**3 - 4*c**2 wrt c.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3.6 and -424606.1886.\nAnswer: -424602.5886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3430 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-1))**(-2\/31))**(-35))**20 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(11 + -12)*(8\/(-22))\/(-2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -3, -36497, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.696 - 0.304. What is the second biggest value in t, -0.1, -1\/5, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -128  (b) -5  (c) -1  (d) 0  (e) 3  (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 906610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1001614 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4625519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-18)*8*8\/208?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151*r = -149*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(378) + sqrt(378)*2 + sqrt(378) - sqrt(378))*-1)\/((2*sqrt(48))\/sqrt(8) - -3*-2*sqrt(6)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.2 + -0.1. Let z = h - 0.1. Which is the closest to 0.2?  (a) -1\/5  (b) z  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -77359.861 to the nearest 100.\nAnswer: -77400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-362)\/(-114) - 11913\/(-75449)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 84996530 and 18?\nAnswer: 1529937540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6 - -2) + 13 + -9. Solve 0 = 3*b - 4*c + 8 - s, 3*b + c = 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 349 + -349.4. Which is the nearest to 2?  (a) 2  (b) -2  (c) z  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9*-27 - ((-7)\/2)\/(-7)*-12. Are o and -230 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c + 0 + 2 + 2*c. Let l(b) be the third derivative of -b**4\/8 - b**3\/2 + 21*b**2. Let a(i) = -3*l(i) - 4*y(i). Calculate a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 o when three letters picked without replacement from fyfpffpffopf.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 593.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/3 - (-4)\/6. Let s be (-4)\/p*(1 - 0). Calculate the remainder when s\/(-14) - (-103)\/7 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.72 + -19.47.\nAnswer: -20.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((1 + sqrt(162))**2 + sqrt(162) - sqrt(162)) + -3 + sqrt(20)\/(-2*sqrt(10)).\nAnswer: -818 - 181*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 4) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -5. Differentiate 5*j**4 - 1 + n - 3*j**4 with respect to j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 2*n - 21, -183*n - 8 = -179*n - 4*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6.7, 3\/14, -0.5, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*u**2 + 212996*u - 426080 = 0. Calculate u.\nAnswer: -106520\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 42 + 25 + 34 - 2*f.\nAnswer: -2*f + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -310 + 317. Let s(i) = i**3 - 8*i**2 + 10*i - 1. Determine s(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 4220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g**3 - 28*g**2 - 2*g - 2. Let u be m(-14). Let w = -49 - -52. Suppose l + 2*l = w. Solve -5*s - l = 4*a + 7, -2*a + 5*s = -u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - z - 1 = 0, m + 4 = 3*z + 7. Suppose 4*n + 288 = -m*n. Let j = 49 - n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-30)\/(-390)*-143*1\/2*10.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*u**2*w**2 - u**2*w + 189*u**2 + 9*u*w**2 - w**4 wrt w.\nAnswer: 4*u**2 + 18*u - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 4*w = -34, 3*s - 9 = 9*w - 10*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30*w**3 + 8*w**3 + 15*w**3 + (-3 + 2*w**2 + 3)*(-3*w + 8*w + 0*w) + 11*w**3 - 18*w**3 - 12*w**3.\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b*d**6 + 141275*b*d**3 - 58922*b*d**2 - d**2 wrt d?\nAnswer: 240*b*d**3 + 847650*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 660\/(-8)*(-4)\/5. Suppose -123 = -4*g + 157. Suppose 0 = 4*m - n - g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0.1 = 175744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7137, 327, 0, 4\/7?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of -419*t**6\/15 - 359*t**4\/12 - 320*t + 2. What is the third derivative of l(k) wrt k?\nAnswer: -20112*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/(-1) + (1 - 4). Suppose -o*r + 3*r = 0. Suppose r*b + 2*b = -m + 16, 2*b - 5*m = 16. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - 6*z + 7. Let p = -14 - -26. Calculate the remainder when p is divided by y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 572, 1\/6 in increasing order.\nAnswer: 1\/6, 4, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1597 divided by 149.\nAnswer: 1597\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21 - (27 - (42 - 52))) + (0 - 7).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/(-15)*15\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/h**(-3\/7))\/h*h*h**(-2\/11)\/h*h)\/(h**(-1\/3)\/h**(-10)))**(-42) assuming h is positive.\nAnswer: h**(3890\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 63184503\nAnswer: 2\/63184503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-3\/2)*o*o)\/o*o**6 assuming o is positive.\nAnswer: o**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -6. Let h = 85122 - 85122.15. Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(11 - (-768)\/(-72))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 541853, 4334863, 14630173, 34678931, 67732285, 117041383, 185857373, 277431403?\nAnswer: 395014621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*o**3 - 1368*o**2 - 155952*o - 5926176 = 0. What is o?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1193315*w**3 - 819419*w**2 wrt w?\nAnswer: -7159890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 618 = -3*q, -5*q + 898 = -h - 132. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 1. Let u be m(13). Suppose k - 3*k = -u. Calculate the greatest common divisor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -1022?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, r: 1, f: 2, h: 2, u: 4}. Give prob of picking 2 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -45*i**3 - 385*i**2 + 159*i - 175. Determine x(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 90 = -0*y. Suppose 13 = -4*h + 45. Calculate the smallest common multiple of y and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -95.5 - -95.2. Let x(l) = 5*l - 1. Let z be x(1). What is the fourth smallest value in -1, z, -3\/2, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-873 + 1753 - 28*f**2 - 878 + 2*f)*(4*f - 4*f + 2*f**2).\nAnswer: -56*f**4 + 4*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 133*g**2 - 26*g + 721. Is o(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10783341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4 - 26*h**3 + 1484*h**2 + 9114*h - 410571.\nAnswer: -(h - 21)**2*(h + 19)*(h + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/7)\/((u\/u**21)\/u))\/(u*u*u\/(u\/(u**34*u*u))*u*u**(-2\/5)) assuming u is positive.\nAnswer: u**(-626\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 13*j**2 + 4*j + 13. Let i be n(-2). Let l = i - 55. Let p(c) = 4*c**l + 1 - 6*c**2 - 1. Let z(k) = 37*k. Calculate p(z(u)).\nAnswer: -2738*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25436162 and 11538.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 335*c - 292?\nAnswer: 335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -141026 rounded to the nearest 1000?\nAnswer: -141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 148 = 6*h. Suppose -2*y + h = -d + 249, 0 = -3*y - 4*d - 340. Let k be (-408)\/y - (-2)\/9. Let w(m) = -2*m + 1. Calculate w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -13\/7, 65, 0, -0.97, 5?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -76 - 25401?\nAnswer: -25477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -498 + 2313. Is 33 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 755184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 44185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**3 - 126*h**2 + 3840*h + 8192 = 0. Calculate h.\nAnswer: -2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2915 is divided by 370.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5181794 and 874?\nAnswer: 119181262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 64298 - -19013237\nAnswer: 19077535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*v - 59*v - 385*v = 118*v - 46206 for v.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*h - 120 = 0. Let l = 3766 + -3730. Calculate the least common multiple of h and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (144\/15)\/(3\/20). Let z be r\/(-3)*3\/(-2). Let v be 136\/z - 1\/4. Sort 5, v, -1\/4.\nAnswer: -1\/4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(-1 - 5\/10*-4). Suppose 5*v - 308 = 2*f - 6*f, 4*f + 2*v - 320 = k. Calculate the remainder when f is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - 92?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.061587 * -0.1.\nAnswer: 0.0061587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3*p = -5*p - 50, -3*l - 5*p + 5 = 0. Suppose 5*s - 5 - l = 0. Suppose s*r - 4*k - 44 = 0, k = -r + 8 + 2. Solve r = 2*a - 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f - 1. Let r be g(1). List the prime factors of (19 - (r + -3)) + 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3156*c = 2951*c - 7790 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-5))\/42*24.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 11:20 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 2*u + 2. Calculate the smallest common multiple of 23 and d(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k + 8. Let b(p) = 4*p - 17. Let s(j) = b(j) + c(j). Let v(g) = g - 1. Calculate -s(f) + 6*v(f).\nAnswer: 4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l**2 - 1. Let c be d(-1). Let h(t) = -t - 4. Let y(o) = o + 2. What is c*h(f) + 5*y(f)?\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 14*x**2 + 2*x - 13. Let m be u(14). Suppose -i + m = 2*i, -5 = -n - i. Put n, 4, -2 in increasing order.\nAnswer: -2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2473617, -2473621, -2473625, -2473629, -2473633?\nAnswer: -2473637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1799048165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 26*u**3\/3 - 738. Let w(g) = -2*g + 2. Give w(h(t)).\nAnswer: -52*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.138 + 1.08. Let h = y - 0.042. Is h bigger than -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.972 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of 61*i**4\/24 + 9*i**3\/2 + 29*i**2. Is h(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11\/6 - -29\/12. Let j = -569872\/27 - -21104. Find the common denominator of y and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 64 - 34. Suppose l - 5*s - u = 0, l - 2*s + 4*s + 5 = 0. Suppose 5*q = -0*z + 5*z - 125, l*z + 5*q - 115 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-594 - 816 + 286 + 385 - 791)*(-63 - 12*p + 63 + (0 - 2 + 0)*(-p + 0*p + 3*p) + 2 - 2 - p).\nAnswer: 26010*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 9 = -24. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of l**4\/4 + 3*l**3 + 3*l**2 - 4*l + 2. Let a be x(-8). Factor 2*r**2 - 5*r**4 + r**3 - 2*r**2 - a*r**5 + r**3.\nAnswer: -r**3*(3*r + 2)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4242*q**3 - 25*q**4 - 25*q**2 + 4242*q**3 wrt q.\nAnswer: -600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -172 - 0?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -46156885 and -30?\nAnswer: 46156855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, q: 2, n: 1, w: 6, z: 2, d: 7}. What is prob of picking 1 n and 2 w?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 441470*v - 1765881. Determine g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 0.032  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 48, 67, 78, 75, 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17 - 1) + -68 + 67 + 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2331 + 100?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5680 is divided by 56?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 39*u - 42*u. Factor -1\/5*i**5 - 1\/5 + 2\/5*i**u + 2\/5*i**2 - 1\/5*i - 1\/5*i**4.\nAnswer: -(i - 1)**2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -170 + 292. Let q = 43 - i. Let a = q - -78.76. What is a rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 13 = 4. Suppose u*m + 2*m = 0. Suppose 2 + 2 = -4*n. Is m > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 25 + 13 = -4*u, 3*m = u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50429.6 micrograms to kilograms.\nAnswer: 0.0000504296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.9 + -1. Suppose 18 = -20*q + 118. Suppose 3*s + q = 32. Which is the closest to l?  (a) -1\/6  (b) -4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 159776237*d**3 - 14*d**2 + 11715497*d wrt d?\nAnswer: 958657422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (5790\/(-12))\/5*(-52)\/(0 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -732 + 3*i**3 + 205 - 6*i**3 + 0*i**3.\nAnswer: -3*i**3 - 527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w + x - 92, 4*w - 43*x = -36*x - 92 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.39702 millennia in decades?\nAnswer: 6339.702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4423, -5034, -5659, -6304, -6975, -7678, -8419, -9204?\nAnswer: -10039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 6*i - 9. Let h be ((-2)\/i + -1)*-3. Let m(c) = 6*c - 1. Calculate the least common multiple of 5 and m(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1242.870993us to weeks.\nAnswer: 0.0000000020550115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-37014)\/(-155) - 3\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1111000 (base 2) to base 16\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4398057765?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -0.126323141.\nAnswer: 0.073676859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 52*n - 1. Let y(c) = -209*c - 165. Let k(j) = -4*r(j) - y(j). Let s(t) = 2*t. Calculate s(k(b)).\nAnswer: 2*b + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -87, -355, 2, -20, -3 in decreasing order.\nAnswer: 2, -3, -20, -87, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -97745.3173 to the nearest one hundred.\nAnswer: -97700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72 - 4 - (2 + 7 + 60 + -64).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 3*s**3 - 2*s**3 - 2*s + 13*s - 20*s + 9*s**2 - 7. Determine l(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 5  (c) 1514  (d) -0.4  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.043913873 rounded to 2 decimal places?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11228, 0.5, -2\/5 in decreasing order.\nAnswer: 11228, 0.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 82052 greater than 82054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -0.794.\nAnswer: 3.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 + -0.2. Let q = -1 + 2.4. Let a = -9323 - -9323.5. What is the nearest to q in 0, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zvzwzvzvzwzzzzvz. Give prob of picking 1 z and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 133 + -124 - (1 + (-25 - -3))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*i + 71*i = 5*v - 122701, 0 = 7*i + 49. What are the prime factors of v?\nAnswer: 2, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 124, 152, 170, 172, 152?\n\"Answer: -f**3 + f**2 + 32*f + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 2*h**2. Let p be w(-2). Suppose p*j + 5*j = 10. Suppose -57 = -j*i + 17. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*s + s. Let k = -2394213 - -7754213. Suppose 12*x = s*x - k. Round x to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -349 + 351. Solve -5*q + 24 = -u, 4*u = 2*q - 26 + g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2 + 100*p + 336.\nAnswer: 4*(p + 4)*(p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3 - 20*x**2 + 24*x + 144.\nAnswer: 2*(x - 6)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -935*p*q**2 - p*q + 3*q - 12 wrt q.\nAnswer: -1870*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/4059195 and 25\/3283?\nAnswer: 28414365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 4*z + 3*l + 4, 0 = 3*z - l + 1. Let b = -21\/274 - 19223\/3014. Let a = z - b. Calculate the common denominator of a and -99\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.8 + 9.2. Let x = -14.000208 + v. Round x to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 - 30\/9)*-39. Let g = t + -8. Solve 0 = 4*k - g*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -15*g - 5. Let c(v) = 8*v + 2. Let p(k) = 5*c(k) + 3*l(k). Let i(u) = 0*u + 6 + 4*u - 2. Let a be ((-4)\/12)\/(1\/(-6)). What is a*p(f) + 3*i(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - 5*o**2 - 3*o - 2. Let f = -74 + 72. Give s(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 - 12*i + 14. Let n be t(5). Is 513 + ((-5)\/((-5)\/n))\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -567*l**2*o**2 + l**2*t - 3*l*o**3*t + 2*o**2*t**3 - 428*o*t**2 - 11*t**3 wrt o?\nAnswer: -1134*l**2 - 18*l*o*t + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-5\/4)\/(w\/((w*w**(-1\/12)*w)\/w))*(w\/w**8*w)\/w**5 assuming w is positive.\nAnswer: w**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 222976, 445703, 668430, 891157, 1113884, 1336611?\nAnswer: 1559338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 + 7*p + 2. Let o be c(-8). Let j = o - 5. Suppose j*w - 173 = -68. Calculate the remainder when w is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -737 - -739. Solve 2*i + 6 = -6*n + 2*n, -g*n - 1 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 3 - 3)*(0*l + 0*l + 2*l)*(-5 + 6 + 33).\nAnswer: 68*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + 2\/6)\/(3\/(-918)). Let u be (-2 - s\/(-6)) + 4. Which is bigger: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.05562 - -68.36438. Let d = m - 69. What is d rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, -41 in descending order.\nAnswer: 4, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23*-0.0803.\nAnswer: 1.8469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2955, -2953, -2949, -2943?\n\"Answer: m**2 - m - 2955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 84594535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 394*s - 110265. Give t(280).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1619?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 386 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88, -81, -62, -25, 36, 127, 254, 423?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h + 1818640 - 230104 = 36*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (781 - -1)\/(-4*1\/(-224)). What is the units digit of r\/207 - 8\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of l**6\/90 + 10*l**3\/3 + 8. Let z(a) be the third derivative of w(a). Let s(b) = -b. Determine s(z(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-90)\/21*2324\/498?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 552156 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - -111000011101011111000101001?\nAnswer: 111000011101011111000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -19\/3  (b) 4\/127  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of -25*p**6\/9 - 2*p**5\/3 + 41*p**4\/6 + 2*p**3\/9 - 16*p**2\/3 + 8*p\/3 + 37. Find w, given that f(w) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -52588*s**2 + 4638*s + 113021*s**2 - 55330*s**2 wrt s.\nAnswer: 10206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 62 from -2812290.\nAnswer: -2812352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 35 = 2*h, 4*h + 4 = 4*o - 36. Solve -o*t = -4*g - 5, 3*g - 2*t - 1 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 222 divide 19659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 - -6. Let u = 17 + m. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -64984 by 16246.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1245 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/2)\/((-97)\/7178) + -6. Solve -j = -4*o - 24, 5*o - 4*j + t = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61339 + -7.\nAnswer: -61346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 + r - 8. Let v be n(0). Let z be -1 + v + (3 - 1). Let k be (5\/(-4))\/(z\/588). Round k to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 892500377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -5*z**2 + 18*z - 92. Let d be w(12). List the prime factors of (-35 - 0)\/7 - d.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 7 = -r + 3, 3*r = 3*t - 12. Suppose -f + t = -12. Solve 3*z + f = -3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 - 103.4855\nAnswer: -111.4855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - -75341?\nAnswer: 75338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/(o\/o**(2\/43)*o)*o*o*o*o**(-8)*o*o*o assuming o is positive.\nAnswer: o**(-127\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 10:05 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -567*s - 6811. Determine y(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 w when four letters picked without replacement from {f: 3, s: 1, n: 3, g: 3, w: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 13 - 1. Let s be 9\/(-2)*-2 + -3. Let f = -1 + s. Solve -f*x + 8 = p*r + 1, 5*r - 4*x = -13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 2*d**2 + 6*d**4 + 7*d**3 - 15*d**3 + 9 + 3*d**4. Factor p(r).\nAnswer: 4*r*(3*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 11993*y + 112. Is q(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 2 - i)*(i + 0*i - 3*i).\nAnswer: 2*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, -0.24, -4\/117, 1\/10, 0.07?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, 20011456 in decreasing order.\nAnswer: 20011456, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 151451331 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 12*t**2 + 30*t - 454. Give h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4656.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 226978362167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -10*a**2 - 10*a + 3877. What is p(19)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/7 - (3 - 1). Let k(s) = -4*s. Let q be k(j). Solve 0 = 3*t - 2 + q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -381, 2, -12.\nAnswer: -381, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 23400 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 2*k**2 + 2 - 3 as f + d*k + w*k**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do 5137 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 588 - 587.994808. Round v to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 7:16 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1203 is divided by 304.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 107\/268 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 - 5*s**2 + 7 + (-3 + 1 + 1)*(-2*s + 3*s - 2*s)*(-4*s - s + 0*s) to the form h*s**2 + f*s + j and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 6:32 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.608 + 6.392. Which is the closest to -1\/7?  (a) 1  (b) -4  (c) -0.3  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 6552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + sqrt(20)\/(sqrt(4) + sqrt(4) + sqrt(20)\/sqrt(5) + sqrt(4) - sqrt(4)) + sqrt(5))**2 + (2*(sqrt(5) - (-1 + sqrt(5))))**2)*-3.\nAnswer: -281\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1047 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 204650 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2480 + 11025. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 5911249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 36 + -29 + (-2 - 1). Suppose b*o + 3920 = 24*o. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 14*w - 42. Let u be b(3). Let g(m) be the first derivative of 0*m**3 + 1\/20*m**5 - 3 + u*m + 0*m**2 + 1\/16*m**4. Solve g(v) = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 340 and 362?\nAnswer: 61540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o + 1. Let y(w) be the second derivative of -7*w**3\/6 + 7*w**2\/2 - 8*w. Let m(t) = 6*s(t) - y(t). Give m(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - 72?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -3*f**2 + 241683*f + 241686 = 0.\nAnswer: -1, 80562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, -3, 2039, 75.\nAnswer: -37, -3, 75, 2039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 49\/73 + -6499\/438. Which is bigger: g or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d + 3*s - 8, -3*d + 108*s - 109*s = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/187 and 47\/119?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 14*j - 1. Let z be w(1). Let l(g) = 3*g + 143. Let n be l(0). What is the greatest common factor of z and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (47 - -4) + -33 - 72.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 + 6*m**2 + 3. Give u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 - 6*l**2 - 6*l - 3. Let b be o(-5). Let n = -35 + 35. Solve b = -p - n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-60)*248\/62\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 4*r + 3596 = -5992, 3*r + 6391 = -2*u. Let w be u\/(-55) - (-2)\/(-11). Suppose -3*p + w = -p + 4*n, 0 = -3*n. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b418 - 4244?\nAnswer: -13660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 117 + 116 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-22)\/(-143) - 160\/26. Let f = 4 - m. Calculate the greatest common factor of f and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 less than -385?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -136, 4, -16, 22, 3, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1810544*x**6 + 2207230*x**2?\nAnswer: 217265280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**4\/4 + 45*v**3\/4 - 167*v**2\/4 + 123*v\/4.\nAnswer: -v*(v - 41)*(v - 3)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/66*(-2)\/16*(-1504)\/(-564).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3705\/912 - (7 + -3).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27*m + 161 - 257 - 228 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 7*r - 8*r + 8 = 0, 0 = 5*t + 3*r - 50. Suppose 6 = -2*m, -w + 5*m + t + 3 = 0. Which is the third biggest value?  (a) w  (b) 0  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p = 2*z + 6*p + 2, 4*z - 3*p = 1. Which is the nearest to z?  (a) -4  (b) 4  (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 159*n**3*y - 15*n**3 - 161*n**2*y - 6*n**2 - 2*n*y - 2358599*n wrt n.\nAnswer: 954*n*y - 90*n - 322*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -105*g + 34*g + 44*g - 4185. Is -153 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 - 8*i + 15. Let p be f(-12). Suppose -p = 2*m + 49. Let y = 351 + m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2641*i - 7775*i + 2570*i + 2566*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 - ((-21)\/(-6))\/(-7)*0. Solve z*g + 4*y + 14 = 0, 1 = -5*g + 4*y - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 6700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1176805 is divided by 4883.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**2 - 4*w - 3. Let k be (10\/4)\/(2\/4). Let r = -11 + k. Let u = r - -4. What is b(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(35)\/(sqrt(80)*-2 - sqrt(80)).\nAnswer: -5 - sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -859.4 + 878.4. Which is the fourth biggest value?  (a) 3\/2  (b) y  (c) 7  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1564820 (base 9) in base 8?\nAnswer: -3242402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1770 and 11328.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 39861220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -1021*x**2 + 4. Let v(c) = -1020*c**2 + 5. Determine 5*i(o) - 4*v(o).\nAnswer: -1025*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1368 - 826. List the prime factors of n.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.33 - 3.67. Let y = -7.6 - -8. What is the closest to -0.2 in v, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15.395 times 788\nAnswer: -12131.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -4*l**3 + 5244*l**2 + 122560*l + 224112 = 0.\nAnswer: -21, -2, 1334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1680.574 weeks to seconds.\nAnswer: 1016411155.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + -4221033?\nAnswer: -4221030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24966 is divided by 778.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hwwh when four letters picked without replacement from {n: 3, q: 6, s: 3, w: 4, h: 2}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + 30 - (-3 + (-3 - (4 - 25)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 11:51 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 4*s**3 - 92*s**2 - 6*s + 114. Determine j(23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, i: 1, e: 1}. What is prob of picking 1 i and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 648791043 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.363624um to centimeters.\nAnswer: 0.0004363624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -87, 70, 317, 660, 1105?\nAnswer: 1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tdtqmcc. Give prob of picking 1 q, 1 t, 1 d, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and 2043.2456?\nAnswer: 2046.2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 5:40 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.5  (b) -7  (c) 31  (d) 2  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102 - 12002?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6118?\nAnswer: 2, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 6, 4, -10, -42, -98, -184, -306, -470?\n\"Answer: -o**3 + 5*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 3*v + m - 102, -3*v - 3*m = -102. Suppose -2*d + v = -24. Calculate the remainder when 56 is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**3 - 28*n**2 - 56*n - 32.\nAnswer: -4*(n + 1)*(n + 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 150 = 3*c, c + 4*l = 2*c + 55. Let j be 2\/(-3 + c\/(-15)). Suppose j*k = 21 - 1. Solve -k*d - 6 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 55, -1 in decreasing order.\nAnswer: 55, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) + 3*(sqrt(152) + -1*sqrt(152) - sqrt(152)) - sqrt(152))\/(sqrt(200)*-3).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 43 + -40. Suppose -t - 5*g + 68 = u*t, 0 = t + g - 16. List the prime factors of (1 - 135\/t)*-4.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29\/(-58) - 897\/46.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 49, 50, 51, 52?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-20)\/(1\/(1\/(-1))). Suppose -y = h - 3*h. Suppose 0 = -6*v + v + h. Solve 8 = -v*p + 6*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 885977963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 37688?\nAnswer: 1\/18844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -935 - -961. Let v = -0.2 - 0. Does v = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 12. Let a = -4 - d. What is the remainder when 3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 12) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 55 + 50. Let r = -6 - i. Calculate the remainder when r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/24)\/((-27)\/36)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1949*w**3 - 980*w**3 - 972*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2066989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 10\/(-35) - ((-2)\/28)\/((-896)\/(-680960))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2 + -266)\/(7 + (-3164)\/315 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77304, 77658, 77856, 77820, 77472, 76734, 75528?\nAnswer: 73776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - -4. Suppose -2*f - 5*j = -z*f + 20, 0 = -f + 3*j + 2. Solve 0 = h - 4*p + 3*p - f, 0 = 3*h + 4*p - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67840931129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -35?  (a) -0.3  (b) -6  (c) 5  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1\/2*(-10)\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2 - 2 + 0 - 9*b + 2*b**2. Let v = -8 + 17. Let h be z(v). Calculate the highest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 6 - 5)*(4 + 11*n - 4).\nAnswer: 77*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 196, 796, 1806, 3232, 5080, 7356, 10066?\n\"Answer: b**3 + 199*b**2 - 4*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 271.5 - 271. Which is the nearest to 5?  (a) u  (b) 5\/3  (c) 2  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of f**5\/20 - 3*f**4\/4 + f**3\/6 - 9*f**2\/2 + 50*f + 14. Let m(a) be the first derivative of p(a). Give m(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b**(-14)*(b*b*b**(-24))\/b)**(-28))**(4\/5) assuming b is positive.\nAnswer: b**784","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 322\/(-27) - 36*5\/(-15)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/27 and -83\/5107056.\nAnswer: 45963504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6851097*h = 6851105*h + 24. Let d(b) = -2*b - 6. Let y(n) = 4*n + 11. Suppose 4*w + 0*w + 20 = 0. Calculate h*y(j) + w*d(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 4)*(-2 + 6*i + 2) + 18 - 6 - 12 + 18*i.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -69, -138, -187, -198, -153, -34, 177?\n\"Answer: 3*r**3 - 8*r**2 - 66*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -392 by 2.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -171  (b) -2\/29  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/2 - 946\/(-2). Is (0 - -1)\/(3\/z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2987\/20094 + -7\/36839. What is the common denominator of v and 115\/4114?\nAnswer: 12342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 3 + -3 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + -4)*2 + (sqrt(204) + sqrt(204) + -4*(sqrt(204) + (sqrt(204)*-1 - sqrt(204))) + sqrt(204))\/sqrt(12).\nAnswer: -8 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.15 and 8.8.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 255797596 to the nearest integer?\nAnswer: 15994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 140751 a multiple of 401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 0 + -6 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.13 * -0.3749759\nAnswer: 0.048746867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 15036218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4886467*0.4\nAnswer: 1954586.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2  (b) -0.3  (c) 5\/2  (d) -0.2  (e) -3.06  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2360*v**2 + v. Is b(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2538815, 5077633, 7616451?\nAnswer: 10155269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of b**6\/54 + 7*b**5\/45 + 17*b**4\/36 + 17*b**3\/27 + b**2\/3 - 68. Suppose s(c) = 0. Calculate c.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 34*s - 89. Let q be x(3). Sort 33, 5, -5, q.\nAnswer: -5, q, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2*n. Let m(t) = -t + 12. Calculate m(z(h)).\nAnswer: 2*h + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9889, 19792, 29713, 39652?\nAnswer: 49609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 144362326847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 143 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 16 = 2*o, -3*y + 10 = 4*o - 8. What is the third derivative of 3*t**6 + 0*t**6 - 10*t**6 - 6*t**y wrt t?\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 13 = -5*m, 3*x - 5*m - 21 = -x. Suppose x*h - 144656 = 11344. What is h rounded to the nearest 1000?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3*s. Let h(d) = -736*d**2. Give h(i(m)).\nAnswer: -6624*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is c in c**5 - 8321*c**4 + 16952946*c**3 + 1482673446*c**2 + 39534321645*c + 334985358267 = 0?\nAnswer: -43, -21, 4203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 3 - (-14 - -17).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-1) + 3 + 0. Suppose 3*z = -6, -2*z - 3 = -3*n - o*z. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 480*145.\nAnswer: 69600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -5*v + 88. Put -4, v, -2, -5 in decreasing order.\nAnswer: v, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 2*w**2 - w + 1. Calculate x(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -3*i - i + 3*i**2 - 3*i - 1 - 4*i**2. Suppose 0 = x - 3*x + 3*u - 4, 0 = 5*u + 10. Determine k(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2*b + 3 = 0. Suppose 3*a - 2*c = 183, 90 = b*a + 4*c - 111. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 - 13*b. Let r be v(-13). Let j = 2 - r. Find the third derivative of -2*t**j + 7*t**5 + t**2 - 3*t**5 wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**2 + 42*i + 24. Let q be w(22). Let f = q + 22. Suppose 24 = -f*y + 5*y. What is the remainder when 27 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20.3512+0.06\nAnswer: 20.4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4 + 69\/(-6))*(-8)\/10. Suppose 5*i - 9 = 2*i. Let j = 3 - i. Solve j = -5*f - o - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 69443 = -17*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 0*h**2 + 39 + 0*h**2 - 13*h + h**2 - 2*h**2. Let u be p(-16). Calculate the common denominator of 28\/5 and (-12)\/(-21) - (u\/2)\/(-9).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 712065, 712074, 712095, 712134, 712197, 712290, 712419?\nAnswer: 712590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f + 16. Let s be y(6). Suppose -2*k = 4*u - 164, u = -s*k + k + 46. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56337672.\nAnswer: 2, 3, 23, 102061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(78) - ((sqrt(78) - (sqrt(78) + sqrt(78)*1 - sqrt(78) - sqrt(78)) - sqrt(78)) + sqrt(78))*-4))\/((sqrt(768)*2)\/sqrt(8)).\nAnswer: -15*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1*((-1 + (sqrt(684) + 0 + 4 - sqrt(684) - (sqrt(684) - (sqrt(684) + -1 + 5))))**2 + 3).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/8  (b) -4  (c) -6  (d) -701.7  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**10*x**(-5\/4))\/(((x*x\/x**(2\/11))\/x)\/(x\/x**(-2))) assuming x is positive.\nAnswer: x**(-355\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 15*(51\/15 - 4). Let v be (-6)\/s - 306\/(-27). Solve -v = -3*x, 3*l - 3 = 5*x - 32 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34638389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 74 + -85. Let w(g) = 8*g**3 + 11*g - 22. Let b(m) = -3*m**3 - 4*m + 8. Let s(i) = c*b(i) - 4*w(i). Factor s(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.91431 milligrams?\nAnswer: 914.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - o - 1. Let j be q(2). Let r(l) = 4*l - 20. Let d be r(6). Suppose -u - u = -d*f - 26, 0 = 3*u + 3. Put j, -2, f in decreasing order.\nAnswer: j, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*a**2 + 3*a**4 + 230*a**3 - 230*a**3 + (-4*a**3 + 0*a**3 + 0*a**3)*(2*a + 3*a - 3*a) to the form y + r*a**4 + m*a + w*a**2 + l*a**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((6 - 2 - 1)*(-2 - 5 + 0) + 0 + 2 + 0)*(0*z + 0*z - 2*z) in the form v*z + o and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/8*q**4 + 0 + 5\/2*q**3 + 0*q**2 + 0*q.\nAnswer: -q**3*(q - 20)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {a: 1, s: 2, v: 1, p: 1, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1576722?\nAnswer: 2, 3, 7, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -92*t**2 + 2498*t + 32. Give n(27).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/1*1\/5. Suppose -x = -c + 5, -6*c + 4*c - x = -7. What is the closest to -0.2 in c, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rzm when three letters picked without replacement from {z: 3, d: 5, r: 4, u: 5, b: 1, m: 2}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 55.77493 centuries?\nAnswer: 66929.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198160 is divided by 49539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 - -1b8c?\nAnswer: 1b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 168590395*b**4*x + 280919350*x with respect to b.\nAnswer: 674361580*b**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -4*t - 5. Is t < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 1 - 3. Let v = 30.2454 + -30.3. Let q = v - 5.9454. Put g, 0.2, -2\/3, q in decreasing order.\nAnswer: 0.2, -2\/3, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*i - 9 - 6*i + 16*i + 6*i + 3.\nAnswer: 23*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 4*p - 36. Let m = -113 - -121. Let f be s(m). Let q be ((-9)\/(-2) + f)*0. Which is the second smallest value?  (a) -1\/5  (b) 3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(42)\/sqrt(2)*2)\/((sqrt(63)*1)\/sqrt(9)) - ((sqrt(3) - (sqrt(3) - -2*sqrt(75))) + 4 + -1*sqrt(3))**2).\nAnswer: -270*sqrt(3) + 1137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 2*y - 5*p - 37, 2*p + 40 = 5*y. Solve 12*x + y = 10*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q\/q**2))**13\/(((q*(q\/q**(1\/3)*q)\/q)\/q)\/(q*q**(3\/2))))**9 assuming q is positive.\nAnswer: q**(267\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 168 - 171. What is the units digit of (n + 3 + -2)\/(2\/(-481))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2009 + 2068. Solve 6*s + 35 = q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -6*v**3 - 15*v + 4. Let x(l) = -2 - 2*l**3 + 3277*l + 3 - 3282*l. Determine -2*f(j) + 7*x(j).\nAnswer: -2*j**3 - 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6\/97 - -2941\/1067. Find the common denominator of ((-16)\/20)\/(13\/50) and f.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14 - -43?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2678 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 18*j**3 - 39*j**2 - 9*j - 3. Let h(t) = -37*t**3 + 84*t**2 + 18*t + 6. Let b(d) = 6*h(d) + 13*i(d). Let v be b(-2). Is v less than or equal to -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1174000 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - o**2 - 1. Let b(y) be the third derivative of -y**6\/30 + y**5\/60 + y**3\/2 + y**2 + 11*y. Calculate b(w) + 3*x(w).\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4*w**2 - 3*w - 7. Let p be r(7). Calculate the greatest common factor of 63 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*v - 11 + 11.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 3516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1521)\/(-26)*((-10)\/(-120))\/(1\/(-8))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 15*i**2 + 2*i - 157. Let h(f) = 5*f. What is h(m(b))?\nAnswer: 75*b**2 + 10*b - 785","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6220578?\nAnswer: 2, 3, 7, 13, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 - 96*o + 98. Calculate p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 56532263527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/75 - (-3561)\/(-405))\/(-1) - 9\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -7*o**2 + 168*o - 25. Let g(s) = 33*s**2 - 840*s + 123. Let t(b) = 4*g(b) + 21*z(b). Factor t(c).\nAnswer: -3*(c - 11)*(5*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 - 7*t**2 - 6*t + 2. Suppose 0*m + m = -4*b, 3*b = 4*m + 19. Let s(p) = -1 - 4 + b + 1 - p. Let w be s(3). Calculate u(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + -753?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*g + 40222 = g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 9*y = -11*y - 837 - 513 for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 88454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38391179.\nAnswer: 6043, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -5*z + 22. What is c(11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -7*p + p + p**3 - 5*p**2 + 0*p + 3. Let v be j(6). Suppose -8*d = -v*d + 15. Is d > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dod when three letters picked without replacement from dooomvmaoooodomov?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155770 is divided by 30248?\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-5 + (6 - 5) - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -26, 1\/824, 0.4, 2\/7?\nAnswer: 1\/824","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 542064?\nAnswer: 2, 3, 23, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -213540000 rounded to the nearest 1000000?\nAnswer: -214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5735354621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-437)\/(-114) + 1\/6. Let f be -3*3\/((-36)\/2648) + a. Suppose 0 = 5*s - 1821 + f. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.747 - -4.627. Which is the closest to -2?  (a) 45  (b) 1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -46354340 and -51.\nAnswer: -46354391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4\/7 - 24*z**3 - 516*z**2\/7 - 520*z\/7 - 174\/7.\nAnswer: 2*(z - 87)*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -168 (base 13) in base 12?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 722395143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/48)\/((-2)\/8). Let s be (-39)\/(-6) - (j - 3\/(-2)). Solve -h + s - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + -3. Suppose 9 = -3*z, w*s - 53 = -z + 2*z. Suppose -8 = 4*i, 4*y - 2*i - 34 = y. Is s at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/7  (b) 33  (c) 328448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -3*r**3 + 237*r. Let w(z) = -12*z**3 + 949*z - 1. Calculate -9*t(m) + 2*w(m).\nAnswer: 3*m**3 - 235*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 43 = -153. Let c = 40 - t. Calculate the highest common factor of 27 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.074 + 51.074. Let f = p + -28. Let i = f - 30. Which is the smallest value?  (a) i  (b) -1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, v: 2, p: 7}. What is prob of sequence pzv?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - 288*r**2 + 53793*r - 129. Determine s(129).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2737568 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -91323\/28 or -3263?\nAnswer: -91323\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32368 and 68?\nAnswer: 32368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/11 not equal to -6834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.1 + -2. Let p = -0.08 + 0.28. Which is the nearest to 0?  (a) 0  (b) p  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 214 * -1\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42 - (-8 + 0 - 5 - -24)) + 7.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 14*p**2 + 92*p + 365. What is the remainder when r(-4) is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 382921770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.17 * -0.29.\nAnswer: -0.0493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 11\/2 of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-15)*204\/(-544)*460?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in -76, -0.41, -4?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 3 + -4 - 4 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1917335*c*o - 1650670*o with respect to c.\nAnswer: 1917335*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 - 1\/(2\/(-388)) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27.2 - 22.2. Put 0, -5, 1, n in descending order.\nAnswer: n, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 106.9 - 106.7. What is the third smallest value in q, 2\/19, -0.5, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89651 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 228575 divided by 1025?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -12 + (26 - 22) - (-86 - (3 + -16)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 133*p**3 + 15*p**2.\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (237\/158)\/(1\/2*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 443522 + -443519. Solve -225*c - 625\/3 - 1\/3*c**s - 17*c**2 = 0 for c.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-36)\/20 - 2\/10. Let l = 1 - h. Suppose -72 - l = -5*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 divided by -22851974.\nAnswer: 41\/22851974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 187, 3, 1\/5, 0.1 in increasing order.\nAnswer: -0.4, 0.1, 1\/5, 3, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1240*m + 413*m - 30136 = 1394*m + 69809 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5834.6 - 5835. Let n = -1.3 + -1.7. Sort q, n, -2\/11, -1.\nAnswer: n, -1, q, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-33)\/6 + 4 - 4\/(-8). What are the prime factors of 7 - (a + 4) - -643?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 639097.\nAnswer: 61, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-7) + 1284\/(-84) + 16. Solve -2 = -3*k + f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 2*b - 6, 0 = 3*r - 2*b + 6*b. Suppose 4*x - 4*l = 10 + 10, 5*x - 4*l = 22. Factor -r*n**x + 4*n + n**3 - 5*n**3 + 51 - 47 + 0*n.\nAnswer: -4*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-6) + (-20)\/(-6). Let v(j) = j - 3. Let p = -172671 + 172672. Calculate the remainder when p is divided by v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 722997 and 85129?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-25)\/171)\/((-14)\/(-420)). Let m = j + 13\/3. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 204949.\nAnswer: 311, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4912\/7, -3, 0.4, -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-46)\/12 + (-6)\/36. Which is bigger: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2079\/4 + -497. What is the nearest to 0 in 4, f, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 6*b**2 + b + 5. Let a be r(-6). Let x = a + 4. Suppose -63 = -x*h - v - 2*v, -5*h - 3*v = -107. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**3 - 63*m**2 + 30*m + 38. Calculate the smallest common multiple of y(31) and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121201121010 (base 3) in base 2?\nAnswer: 1010000010111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320)*-6)\/((sqrt(36) + sqrt(900))\/sqrt(9)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 4:49 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1071 = 48*p + 131 - 1220 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 453, 344, 185, -48, -379, -832, -1431, -2200?\n\"Answer: -4*x**3 - x**2 - 78*x + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 41 + -28. Let q = 0 + g. Calculate the remainder when 24 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d**2 - 3*d - 2 + 3 + 4 - 1 + d**3. What is i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 divided by 1.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-35)\/10 - 3272994\/(-108).\nAnswer: 2, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41 + k + 13*k**2 - 2*k**2 + 95 - 9*k**2.\nAnswer: 2*k**2 + k + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 - -44. Let q(y) = y**2 + 75*y + 448. Let m be q(-69). Suppose -m*h + 35 = -r*h. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22585, -45158, -67725, -90286, -112841, -135390, -157933?\nAnswer: -180470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1575662 and 3553.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = -2*n - 3, -345*g + 24 = -n - 353*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -13  (b) -5  (c) -3\/74  (d) -43  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 68 by -139717.\nAnswer: -68\/139717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 47e6b5 (base 15) to base 4\nAnswer: 31020000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 286210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 2*j**2 + 4*j - 1. Let z be 3 + 0 + (0 - 0). Let q be f(z). Factor 4\/7 + 10\/7*t**q + 2*t.\nAnswer: 2*(t + 1)*(5*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - 2 + 2)*(1 + 10 + 9) + 11 - 40*x + 38*x - 2.\nAnswer: -22*x + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 AM and 6:36 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*j - 57*j + 1001 = -37*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 937.8250015 to the nearest 10.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1446690259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 18 = -3*b + 470, 3*b - 113 = -c. What is the highest common factor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(-1) - 24\/(-6). Let w(q) = 3*q - 2*q + 2*q - u*q. Let o(j) = -11*j. Calculate w(o(a)).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27732, 55443, 83140, 110817, 138468, 166087, 193668, 221205?\nAnswer: 248692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qyqqyyqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from plppplpppplp. Give prob of picking 3 l.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2730 by 546.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/13 + 480*g**2\/13 + 12264*g\/13 + 83104\/13.\nAnswer: 2*(g + 14)**2*(g + 212)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.06 - 3.64. Let n = z - 260.3. Let x = 263.99999877 + n. Round x to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1426 is divided by 712.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6360 and 36015090?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-21)*(-3)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -943 - -1230. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 3202002003323?\nAnswer: 3202002003332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 + -21)\/(6\/(-4)). Let p(x) = x**3 - x**2 + 4. Let v be p(0). Suppose r + j = -v*r. Let o(f) = f**2 - f - 2. Determine o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1770 - -1775. What is the closest to -0.1 in 3\/8, 4.6, b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0071 and 2?\nAnswer: 1.9929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/6)\/((-4)\/24). Let v be 18\/20 + o\/4. Factor 2\/5*z**2 - 2\/5 - v*z + 2\/5*z**3.\nAnswer: 2*(z - 1)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -471259 - 60941. Round c to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2019*w**2 + 1079*w - 6422. List the prime factors of o(6).\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i - 3*i - 2*i**2 - 2 + 3*i**2 + 2 + (0*i + 2*i - i)*(-4*i + 2*i + i) - i + i - 3*i**2 + 2 - 2 - 3*i**2 to the form r*i + v + u*i**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 9. Let l = 6 + p. Let c = 1.00000004 - l. What is c rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1865 = 3*b - 2*i, -7*b - i = -2*b - 3091. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 363648937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 11:07 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 202 - 193. What is the greatest common factor of a and 747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/3  (b) 1\/316  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/2))**(3\/20)*(a**(-2)*a*a)**(15\/8))\/((a**3)**(-4\/17))**(-1\/67) assuming a is positive.\nAnswer: a**(2937\/45560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -40, 14, -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n**5 + 10500*n**4 + 28142*n?\nAnswer: 20*n**3 + 126000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 153, 0, 4, -2 in descending order.\nAnswer: 153, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3828 - 157*r - 3828)*(r**4 + r**4 - r**4).\nAnswer: -157*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1204 divided by -301.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 1370691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*b - 6. Suppose t + 0*t = -4*n + 2, 5*t + n = 10. Solve -b*y = t + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 12910*i - 167833. Determine d(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -40577*p - 27305.\nAnswer: -40577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 608*z - 176706 = 585*z - 26286. Calculate the highest common factor of z and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8875*l**3 - 10 + 8877*l**3 + 17 - 71*l**2 + 15*l**2 - 7.\nAnswer: 2*l**3 - 56*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20 by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -39?  (a) -112.1  (b) -4  (c) 0  (d) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3014 + 2*z**3 + 3014.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**4 - 24*a**3 + 12*a**2 + 96*a.\nAnswer: -3*a*(a - 2)*(a + 2)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1 + sqrt(48)).\nAnswer: -16*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 329 - 202. Suppose 128 + h = 17*d. Solve d*x - 19*x = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/3)*m**(-4))**(-7\/5) assuming m is positive.\nAnswer: m**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 2*o = 56, -5*o = -5*b + 141 - 31. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -226*k + 2917*k + 608*k as p*k + a and give p.\nAnswer: 3299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 406010643 is divided by 6788.\nAnswer: 6787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 658*l**3 - 241*l**2 - 109*l + 109*l + 1631*l**2 wrt l?\nAnswer: 3948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -4*c - 3, 0 = -3*d + 5*c + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23777 is divided by 23753.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*s = -405. Suppose -4*l + s = 39. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6131 divided by -5.\nAnswer: -6131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 19 = -5*s. Suppose 0*n + s*n - 211 = -c, -2*c = -3*n + 124. What is the highest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-12))\/(12\/54) + (3838\/456 - 15).\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*h = 19*h + 24*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7048384 or -7048386?\nAnswer: -7048384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14193, 48960, 106901, 188010, 292281, 419708?\nAnswer: 570285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(200)*-2*-4 - (-3 + 4 + sqrt(8)\/sqrt(4))))**2*2.\nAnswer: -1896*sqrt(2) + 25036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -25 - -46. Let p be (52\/91)\/(2\/119). Let f = p - o. What is the remainder when 89 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j = -17*j. Let s be (j\/(-1))\/(-6 - -7). Solve 0 = -s*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77 divided by -8\nAnswer: -77\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2624 and 24178304.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 964\/22 - (-4)\/22. Suppose -4*x + 2*x + n = 0. Let y = -12 + x. What is the least common multiple of y and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19232902123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 0 = 24. Let j = 0 - v. Let z(b) = b**3 + 5*b**2 - 6*b - 3. Let r be z(j). Sort r, -7, 3 in descending order.\nAnswer: 3, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34660*o = -34687*o + 243 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 145+19\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) 1  (c) 3  (d) 5  (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12489 divided by -3.\nAnswer: 4163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -2)*2\/(-4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 3, 0.04, 2\/17, 1.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**2 - 69*u + 66.\nAnswer: 3*(u - 22)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 h, and 1 v when three letters picked without replacement from {l: 1, u: 8, v: 2, y: 6, h: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 76.74028 millilitres?\nAnswer: 0.07674028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 126802 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -775 in 126, 1\/3, 669?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -951\/9196?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.08 - -0.02. Let x = 0.29 - 0.2. Let w = x + -4.09. Which is the nearest to f?  (a) 3\/4  (b) -2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (84\/(-15))\/(-4)*((-32890)\/(-92))\/(-143).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 159*g**2 + 7*g - 83. Let q(d) = d**2 + 2*d + 1. Let a(u) = 2*q(u) - y(u). What is the second derivative of a(p) wrt p?\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17 in 186.9, -2\/13, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -7*x + 1. Let j be g(-2). Suppose -5*y = 4*w - j, -4 = 3*y + 4*w + w. Is (-2)\/7 + 100\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 9952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24269 + -8701. Is k a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12740?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-3))\/((-98)\/21)*77\/66. Let q(o) be the third derivative of 0*o + 1\/120*o**6 + 0 - 6*o**2 + 1\/30*o**5 - i*o**4 - 4\/3*o**3. Let q(x) = 0. What is x?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 + -12. Suppose 2*a + p*q - 10 = 0, 0 = -a + 4*q - 0*q. Suppose 3*g - 157 - 35 = 4*u, a*g = 5*u + 255. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145060?\nAnswer: 2, 5, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17?  (a) 3\/5  (b) 0.06  (c) 2063\/11  (d) 2\/15  (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -22*g**3\/3 + 8*g**2 - 1. What is the second derivative of l(h) wrt h?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 128\/56*(-7)\/(-2). Let v(p) = -5*p**3 - 3*p**2 - 3*p + 3. Let i(w) = -14*w**3 - 8*w**2 - 8*w + 8. Calculate o*v(j) - 3*i(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 316 and 4.3.\nAnswer: 1358.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-90)\/25)\/9 + 84896\/(-10). What is q rounded to the nearest 100?\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) -0.2  (c) -21  (d) -0.5  (e) 5.8  (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -34033*p**4 + 15871*p wrt p?\nAnswer: -408396*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j + 3. Let z(h) = 229*h**2 + 2*h - 9. Let v(x) = 4*n(x) + z(x). Let q be ((-24)\/9)\/((-4)\/6). Is v(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(108) + -2 + 5*sqrt(108))**2.\nAnswer: -19460 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5915*n**3*s**2 - 372*n**3*s + n**3 - 75*n**2*s**2 - 3*n**2*s - 3*n*s**2 - 6*n*s - 173*s - 1 wrt s?\nAnswer: 11830*n**3 - 150*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + 1 + -3 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 3*n = -132. Let o = n - 29. Let u be 2 + 0 + (-33)\/o. Which is the closest to 2\/3?  (a) -3  (b) 2\/9  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -10.9. Which is the nearest to r?  (a) -1  (b) 3  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*t = -407, -4*d - t - 571 = -8*d. Suppose -d = 2*g + 108. What is the common denominator of -69\/4 and 2\/7 + (5 - 510\/g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/1751?\nAnswer: 2\/1751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 11:08 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 178827371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - 16*c**2 + 16*c - 6. Let r be (-2)\/(-7) - (632\/56 - -6). Give n(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -21 - (11 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + (-3 - (2 - 4)). Let z = x + 8. What is the remainder when (3\/(-4))\/((-2)\/104) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2240 - -2244. What is the remainder when -2 + 0 + (18 - 2) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-14)\/8 + 2\/8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m**4 - 11*m - 2*m**4 + 4*m**2 + 7*m**2 + 10*m as a*m**4 + j*m**2 + l + b*m + r*m**3 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148688 is divided by 74338.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8081723*d**4 + 84*d**2 - 21*d + 1 wrt d?\nAnswer: 193961352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1414 (base 16) in base 8?\nAnswer: 12024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229242 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1952 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uek when three letters picked without replacement from efzkffzzuufznnzuuknk.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - 8*a - 14. Let l(u) = -u**2 + 9*u + 14. Let d(j) = -3*l(j) - 2*o(j). What are the prime factors of d(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16394801 (base 10) in base 6?\nAnswer: -1343221505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 26 - (17 + 1 + -1 - 4 - 18)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2\/145, 1, 3 in descending order.\nAnswer: 3, 1, 2\/145, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 10:28 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -1. Let d(r) = r**3 - 6. Let k = -8 + 2. Determine k*q(l) + d(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -31 or -245\/8?\nAnswer: -245\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1172177707 equal to -1172177707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 110650342 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/114)\/(-1))\/(((-78)\/36)\/(-13)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2693*x**2 + 65*x**2 - x**2 - 694*x**2 - 860*x**2.\nAnswer: 1203*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -11 - -26240?\nAnswer: 2622d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 + 7*y - 2. Let o(j) = j**2 + 8*j - 2. Let w(p) = 4*o(p) - 5*r(p). Suppose 0 = 2*u - 0*u + 6. Let z be w(u). Solve z*s + 4 = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from clhphrrrlfl. Give prob of sequence ph.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 211 = 109. Suppose -52 = -15*n + 53. Suppose -n*l + 2*l + j = 0. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17481592 to the power of 1\/2, to the nearest integer?\nAnswer: 4181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -88 + 90. Suppose -2 = -10*c - 62. Put 0, d, 5, c in decreasing order.\nAnswer: 5, d, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmtmmtmtmtttmttmttm. Give prob of sequence mmtm.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 v, and 1 t when three letters picked without replacement from {h: 2, v: 2, o: 4, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 26 = -2. What is the lowest common multiple of j and 5*22\/(-10)*-6?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*k - 29*k - 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - l + 7*l**3 + 1 + 9*l**3 - 6*l**3. What is x(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/5 + 29561276*d\/5 - 218467259687044\/5.\nAnswer: -(d - 14780638)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from mfmnyfm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -697 - -709. Let w = -0.2 + 0.4. Which is the nearest to 0.1?  (a) w  (b) u  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((11 - -1) + -15)\/((-6)\/(-4)). Let v be (k + 8\/(-5))\/(27\/(-3240)). Is 431 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (102 - 151 + 150 + 523)*(-1 - 4 + 3)*(3*f - 2*f - 2*f) to b + j*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 63 + -29. Let f = z + -32. What is the second biggest value in f, 21, 2\/23?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.68 + -0.28. Let k = -7363\/17 + 433. What is the second biggest value in 0.5, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -252 = -3*f + 4*q, 443 = -f + 6*f + q. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1444 (base 9) to base 4\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6671 - 6704. Which is the closest to -1?  (a) l  (b) -2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide ((-252)\/24)\/(6\/(-92))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -111868859.29999999 - -111868860. Let c = 0.18 - 0.88. Let i = x + c. What is i rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*t + 12, 0 = 14*t - 13*t + 5*w - 18. Solve -2*d + 0 = -2*q + 2, d - 2*q - t = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c + 1. Let h be (2\/6 - 0)*3. Let p(o) = o**2 + o - 1. Let z(m) = h*s(m) + p(m). Let a(i) = -2*i. Give z(a(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - z + 1. Let r(y) = 4*y**3 + 7*y**2 + 8*y + 6. Give -6*c(k) - r(k).\nAnswer: -4*k**3 - k**2 - 2*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.1, -1\/3, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 3*m - 90 = -8*o, -3*o - 5*m + 130 = 0. Suppose -2*k = -k - o. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -44 + -1904?\nAnswer: -1948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17852, -17874, -17896, -17918, -17940?\nAnswer: -17962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 6. Let d be (-2)\/(2\/r) + 8. Let j be ((-10)\/6)\/((-9)\/27). Solve -n + 5*n - d = z, 0 = 2*n - z - j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((6*(1 + sqrt(80)) - sqrt(80)) + 3 + sqrt(80)*1)**2 + 2 + sqrt(80) + -1 + ((-1*sqrt(80) - sqrt(80)) + sqrt(80))**2 + 1 + 5.\nAnswer: -8796 - 1292*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1263, -1349, -1369, -1323, -1211, -1033?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -532 + 568. Suppose -k*g = -25*g - 693. Calculate the remainder when 437 is divided by g.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 611052 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7)\/(4 + 3) + 2*2. Suppose -2*f = -3*x + 628, 3*x - n*f - 417 = x. Is 35 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -274*j**2 + 314*j + 246*j**3 + 31*j**2 + 85*j + 3*j**5 - 237*j**2 - 48*j**4 - 120 = 0. What is j?\nAnswer: 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23623011 or -212607106\/9?\nAnswer: -212607106\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 4 + (-1 + sqrt(272))*4)**2.\nAnswer: -64*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 6*u**2 + 6*u + 3. What is l(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/3)\/(16\/72). Let z(a) = -a - 11. Let k be z(-12). Let c = q + k. Let x(j) = -j + 7. Determine x(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/17, 2360, -0.5, 5, 1\/3, 0.2 in descending order.\nAnswer: 2360, 5, 1\/3, 0.2, 2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ittittitititi. What is prob of sequence iiti?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.5  (b) 4  (c) 0.17  (d) -0.5  (e) 29\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.06 and -61.\nAnswer: 3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**2 + 7869*u - 2543922.\nAnswer: 3*(u - 291)*(u + 2914)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -28660000 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2025801761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-71 + 21 - -16) + 58?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32, -97, -164, -233?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 0, -4, -120, 147 in descending order.\nAnswer: 147, 3, 1, 0, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 51556 and -2990.44.\nAnswer: 48565.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 4416600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 818131460 rounded to the nearest one hundred thousand?\nAnswer: 818100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/(-25) + (-302)\/(-10). What are the prime factors of (-1 - 1)*a\/(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f - 23 = 8*f - 4*a, -3*a + 10 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 135*q**4 - 8105*q**3 + 121800*q**2 - 4500*q.\nAnswer: 5*q*(q - 30)**2*(27*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 208 + -200. Let c = 27 - s. What is the remainder when 70 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 49455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -121, -3, 16429, 2, -2, 3 in descending order.\nAnswer: 16429, 3, 2, -2, -3, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w - 22 = u + 5*w, -5*u + 4*w + 35 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-185)\/((-2775)\/135))\/((-3)\/(-30)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 5, i: 15}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 11, d: 3}. What is prob of picking 2 d and 2 j?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 17027.36 meters in micrometers?\nAnswer: 17027360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-157)\/(-1) - (-3 + 0)\/1. Calculate the greatest common factor of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/21, -0.19, 0.7682?\nAnswer: 0.7682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 2*g - 20, -84 = 2*d + 5*g + 1. Let t be ((-4)\/(-10))\/((-1)\/d). Let h = 145\/12 - t. Which is the nearest to 2\/7?  (a) h  (b) -2\/19  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of 2*t**3\/3 - 9. Let j(p) = 12*p. What is j(v(d))?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 379 - 65*k - 55 + 3*k**2 - 8*k**2 + 516.\nAnswer: -5*(k - 8)*(k + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1256586?\nAnswer: 2, 3, 209431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8621 and 175.\nAnswer: 1508675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g - 315. Determine s(-50).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v**3 + 35*v - 35*v + (-10 + 5*v + 10)*(3 + v**2 - 3)*(82 + 19 + 66) to the form u*v**3 + l*v**2 + a + c*v and give u.\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (0 + 1)) + (-170 - -162) - (5 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/7*n**3 - 3\/7*n**2 - 3 - 25\/7*n.\nAnswer: (n - 7)*(n + 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20 + 14 - 42)*(3 - 3 - 2*y) + 0*y + 0*y - 2*y + (-5 - 2 + 4)*(3 + 2*y - 3) to the form l + f*y and give f.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14450 - 15690.2. What is j rounded to the nearest ten?\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-10)\/12 - 3\/18. Let b = 60 - 63. Sort -6, b, w.\nAnswer: -6, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -932.2  (b) 2  (c) 0.055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 168 + 21 = -4*j, 3*j + 964 = 2*m + 821 for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-9)*3 - 825\/(-16 - 59)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -706935*z**4 + 25*z**3 - 6869*z**2 - 61*z - 4.\nAnswer: -16966440*z + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*o - 31 + 52 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3719740.\nAnswer: 2, 5, 185987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10013 - -25241?\nAnswer: 15225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from {w: 5, c: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of 11\/4*u**4 - 59 + 0*u**2 - 6*u + 2\/3*u**3. What is the third derivative of w(l) wrt l?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5\/39  (b) -0.1  (c) 52.71  (d) 0.4  (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 51701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p - 1. Let q(r) = r**3 + 3*r**2 - 2*r + 5. Let l be q(-4). Let w be d(l). Let a be ((-2)\/(-3))\/(2\/(-3)). Sort a, w, 0 in decreasing order.\nAnswer: w, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 650968320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*v + 18*v - 14 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -122, -182, -240, -296, -350?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 20 + (2 - -53 - 20) + -31?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -162.89 - -164. Let b = 5393587 - 5393588.1100615. Let k = b + t. Round k to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1921\/660 - -2\/33. Calculate the common denominator of q and ((-8395)\/(-150))\/(-23)*(-25)\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -206 - -206. Solve -5 - 6 = -3*x - y, q = -5*x - 2*y + 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 39659 by 9021.\nAnswer: 39659\/9021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 964.2252mg to kilograms.\nAnswer: 0.0009642252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 5*h - 4986, 6*s - 4974 = 3*s + h. Suppose -p + 1619 = 4*y - 592, 3*y + p = s. What are the prime factors of y?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(2880)*-2 - sqrt(2880))*-3.\nAnswer: 3 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/15672 and -17\/12.\nAnswer: 15672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 3)*(-2 + 0 - 469*f + 497*f).\nAnswer: -28*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1034\/33 + 1\/3. Which is bigger: s or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 76 - 76.26. Let a = 0.967 + -0.087. Let o = a - 1.08. What is the third smallest value in q, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d + d**2 - 3*d)*(-4439 + 4439 - 67*d**2)*(0*d + 3*d - d).\nAnswer: -134*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 - 19*y + 23. Let w be p(-20). Suppose 28 = a + 4*f - 23, -w*a - 3*f = -108. Calculate the highest common factor of a and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 953*u + 2181*u + 2002*u + 2404*u.\nAnswer: 7540*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f + 4. Let y be g(2). Let u = -33 + 32.8. Which is the second smallest value?  (a) -0.4  (b) u  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 219 in -2, -3, -41, -2\/17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by ((-1)\/3)\/((-5)\/195).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3775924 is divided by 514.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ijqiqiiq. Give prob of sequence jqqq.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -53*k - 572. Give w(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 (base 4) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -439 + o**4 + o**3 + 453 + 0*o**4 - 2*o + o**4 + 2*o + (1 + 0 + 1)*(4*o**4 - 4*o**4 + 2*o**4) - 4*o**4 + 5*o**4 - 2*o**4.\nAnswer: 5*o**4 + o**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a768 - 3?\nAnswer: a765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 30*k**3 - 8*k**4 - 61*k**3 - 4*k - 4*k**5 - 8 + 16*k**2 + 39*k**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 + 3. Let y = -35 + i. Suppose -8 = -d + 5*d. What is the closest to -2\/5 in y, d, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75983 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 12 = -24. Let j(d) = 6*d - 11*d**2 + 6*d**2 + 0*d + 6*d**2 - w. Give j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.5 - -4. Let x be 1*4 + ((-336)\/20)\/4. Which is the biggest value?  (a) 1\/5  (b) d  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 s, and 2 b when four letters picked without replacement from {s: 3, c: 2, q: 6, b: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 3*o - 34. Let w(i) = 50*i - 1. Let m(t) = -t + 1. Let s be m(0). What is the remainder when w(s) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 11) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 29, -1, -0.135?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109651 is divided by 18210.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -10. Let t = 25 - f. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o**2\/3 + 33*o - 1290 = 0. What is o?\nAnswer: -129, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 124 and 1200.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ultzu. What is prob of picking 1 l and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 0)\/((-3)\/6). Suppose 2*v = 5 + 1. What is the second biggest value in v, f, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 86, -3\/4, 10 in descending order.\nAnswer: 86, 10, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + w - 20 = 0. Suppose -4*j = -7*j + 2*s + 20, 0 = 5*j - 3*s - 34. What is the remainder when w is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -40681 and 2162.533.\nAnswer: -38518.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -13*b - 13. Let a be i(-12). Let d(p) = 7*p**2 - 6*p. Let h(c) = 169*c**2 - 143*c. Let x(y) = a*d(y) - 6*h(y). Let m(n) = -2*n. Determine m(x(g)).\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = -4*a, -3*n + 3*a - 2 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 10:57 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 5*j - 35, c + 4*c = j - 1. Let z(l) = -11*l - 11. Let d(h) = -5*h - 5. Let i(r) = -9*d(r) + 4*z(r). Calculate i(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 140517738.\nAnswer: 2, 3, 881, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z\/(z*z*z**4*z*z))*z**(-2\/11)*(z*z**(-1))**(-7\/2))\/((z*z**(1\/2))**(-3))**(-36) assuming z is positive.\nAnswer: z**(-1685\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -6*s + 3*s. Let y be ((-126)\/35)\/(72\/(-30) + 2). Solve -2*t - y = -s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4482899, 4482915, 4482943, 4482983?\n\"Answer: 6*h**2 - 2*h + 4482895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lpigllgil. Give prob of picking 1 p and 1 g.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -194 and 0.0975?\nAnswer: -18.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*-68842.\nAnswer: -619578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + -6 - 6 - (-10 + 24 + -13 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -146906  (b) -21\/5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 + 11. Let w be (-3)\/f - 1\/3. Suppose -i = -4*h - 205, w = h + 5. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 53 - 6*v - 15*v - 53 in the form m*v + t and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -3, -415 in descending order.\nAnswer: 0.5, -3, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*2\/4*1. Suppose 91 = 6*s - 5. Suppose -5*x = 5*k - 7*x - s, 2*x = -4*k + 2. Solve -4*r - 20 = -r - k*t, -5*r - n*t - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/12259  (b) 74  (c) -1  (d) 1  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9630\/(-4280)*-2*6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of -p**5\/110 + 444*p**4\/11 - 788544*p**3\/11 + 700227072*p**2\/11 + 369*p - 3. Factor k(g).\nAnswer: -2*(g - 888)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - f = -19, 5*m - 5*f = -3 + 8. Sort m, -2, -5 in ascending order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 22 = 3*c, -1257*s + 38 = -5*c - 1261*s for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2150359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003994714381 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2902283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-17)*w*(w\/w**2)\/w*((w**(-1)\/w)\/w)**47 assuming w is positive.\nAnswer: w**(-159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 1 + 3. Solve 3*f = -s + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 296129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - 40*q**2 + 447*q - 17980. Give m(40).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -3. Suppose -381 = 5*s - 131. Let i = s + 56. What is the second biggest value in k, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/24 + 2193\/(-6). Let p = h - -365. Put p, 1\/11, -2\/9 in ascending order.\nAnswer: p, -2\/9, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3*m + 11*m**2 - 15*m**2 - 4 + 12*m**2. What is the tens digit of u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-12)\/8)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13233328393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/3*6\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + (9 - 0 - 14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2877 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 1 + 7 - 1 - 2 - 1 - 3 + 5 + 6 - 2 - 2 + (0 - 1 + 0)*(1 + 0 + 0))*(0*n + 0*n - 5*n).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*v**6 - 11*v**3 + 310*v**2 - 3 wrt v.\nAnswer: 720*v**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 4*k + 36 = 0, 4*k = -14*y + 13*y - 21. Let s(b) be the first derivative of -b**2\/2 - 5*b - 1. Let m be s(y). Solve m*w = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 8260\/25 + -3*(-2)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 - -9.8. Let s = o + 0.4. Which is the second smallest value?  (a) s  (b) -1\/5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2446 + 0.0446. What is the biggest value in -4, 0, n, -67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45576331, 45576318, 45576303, 45576286?\nAnswer: 45576267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(4*(sqrt(130) + sqrt(130) + -4*(sqrt(130) + 3*sqrt(130))))\/(sqrt(1210) + -6*(sqrt(1210) + -4*sqrt(1210))))**2.\nAnswer: 163072\/43681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 9:02 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4, 4, -4, -26, -68, -136?\n\"Answer: -x**3 + 2*x**2 + x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4030488 and 2376.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d**2 - d. Let n be w(-1). Let g = 12.75 + 0.25. Let m = 13 - g. Which is the second smallest value?  (a) -3\/5  (b) m  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62)\/(-104) + (-2)\/(-13).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -270848*o**3\/5 - 25567168*o**2 + 2084334*o\/5 - 8496\/5.\nAnswer: -2*(o + 472)*(368*o - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**4\/3 - 5564*g**3\/9 - 52976*g**2\/9 - 141808*g\/9 - 72640\/9 = 0. Calculate g.\nAnswer: -454, -5, -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 3*k = -12, -k = -0*k. Let i be f - (-1 - 5\/2). Factor -i*y**2 + y - 1\/2.\nAnswer: -(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -3, 3\/4, 219, -1.39?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6 - (-225)\/72 - (-2)\/(-16). Solve -4*p - l - 15 = 0, -2*p + 5*l = -p + s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 70\/6 + 1\/3. Suppose l - 3*l + z = 0. Let g(f) = f**3 - 6*f**2 - f + 8. What is the units digit of g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r + r**3 - 3*r + (2 - 2*r**2 - 2)*(-r - r + 0*r) + 6 - 2*r**3 - 6 in the form j + c*r**2 + k*r + u*r**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b + 1. Let y(n) = 15*n - 3. Let x(g) = -12*r(g) - y(g). Let w be x(-4). What are the prime factors of w\/2*(3 + 538\/6)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 - 137 = -3*i. What is the remainder when i is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 21*h - 40. Let u be a(2). What is the units digit of (u*88\/(-20))\/(1\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m - 2. Let q(z) = z. What is g(d) - 5*q(d)?\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2033 + 4782. List the prime factors of k.\nAnswer: 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17276 * -0.06\nAnswer: 1036.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -11133612\nAnswer: -5566806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, -2, -2\/599?\nAnswer: -2\/599","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of -g**7\/2205 - g**6\/1260 + 69*g**2. Find k, given that j(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w + 2*p + 6, -w - 503*p + 59 = -508*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 849682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and -748.\nAnswer: -748.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -220177*n**2 + 122*n + 1655. Let z be h(-15). Round z to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (6 + 34 + -2) - (21 - (18 - -7))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 9:18 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2701900859 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2111212409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**3\/5 + 58*x**2\/5 + 88*x + 384\/5 = 0. Calculate x.\nAnswer: -16, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 2313 divide 359181274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 70 + 40 = 0. Let q be l\/(-7) + 1 + (-9)\/(-21). Suppose -4*g + 6 + 2 = 0. Solve q = a - g*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j. Let t(w) = 2*w**2 + 10*w. Let b(p) = 20*o(p) - 2*t(p). Determine z, given that b(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -62d + 13c?\nAnswer: -4d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3057 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (12\/(-8))\/(9\/(-192)). Suppose 0 = -2*i - 10 + d. Let g(s) = s**2 + 39*s - 402. Let l be g(-49). What is the greatest common factor of l and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40192*a + 5490 = 38362*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 74, 82, 90, 98, 106?\n\"Answer: 8*b + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-6) + 280\/(-30). List the prime factors of (-346)\/b - 48\/80.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51522\/11, 0.067, 2\/7 in descending order.\nAnswer: 2\/7, 0.067, -51522\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/5)\/(276\/(-17940)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1050549*g**3 - 13976663*g**2 wrt g?\nAnswer: -6303294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34 - 32. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s\/(s*s*s*s**(29\/4)*s))\/s)\/s)\/(s**(9\/2)\/s) assuming s is positive.\nAnswer: s**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of 2*i**8\/21 + 424*i**7\/735 + 73*i**6\/60 + 247*i**5\/210 + 13*i**4\/21 + 4*i**3\/21 + i**2. Suppose d(o) = 0. Calculate o.\nAnswer: -2, -1, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mjmmjjmiiuityymmm. Give prob of sequence ty.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 873865818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -0*d - d - 3*z, 3*d = z - 5. Suppose 2*f - 5*j = -7*j + 6, 3*f = 4*j + 9. Factor d*i - 2\/3*i**2 + 0 + 2\/3*i**f.\nAnswer: 2*i**2*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 516694 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 44*k = 2701. Let b = -64 - k. Put 14, 3, -2, b in ascending order.\nAnswer: -2, 3, b, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/5 - 1746*b\/5 - 5256\/5.\nAnswer: 2*(b - 876)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.3 - -3. Let t = -3442.055 + 3433. Let p = t - -0.055. Put s, 5, p in increasing order.\nAnswer: p, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-2 - (2 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxgvoxvxovhh. What is prob of sequence hhvx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2133 - -2135. Solve t*z - 10 = -4*o + 20, -3*o + 4*z - 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*j + 13*j + 330 = 0. Suppose 2*r - 5*f - 32 = 0, -3*f = 3*r - 74 - 16. Let a = j + r. Solve 0*c + 4*c + 3*x = 19, -5*c + 5*x + a = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15749043799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 2  (b) -115141  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -628, -789, -950, -1111, -1272, -1433?\nAnswer: -1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 66*(-4)\/18*-3. Let b(w) = -1 + 45*w - n*w + 0. Let g(c) = c - 9. Let v be g(4). Calculate b(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -256792 or -531?\nAnswer: -256792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 16*p + 893*z - 891*z = 300, -3*p + 36 = 5*z for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 167331*r**2 - 2316*r - 579. Let c(f) = 579*f**2 - 8*f - 2. Determine 1158*c(a) - 4*p(a).\nAnswer: 1158*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4512?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 - 1)*(18 - 11 - 5 + 6*q) to n + m*q and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17371727 by -3.\nAnswer: 17371727\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 22, 18, -2, -50, -138, -278, -482, -762?\n\"Answer: -2*u**3 + 4*u**2 - 2*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18.69 - 0.31. Let b = s + 19. Let p = 0.982 + 0.018. Put b, 1\/4, -0.2, p in decreasing order.\nAnswer: p, 1\/4, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.04, -3, -379?\nAnswer: -379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t - 72 = -2*t. Let l be (-156)\/(-40) + 1\/10. Solve -g + t = l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ukk when three letters picked without replacement from {f: 1, k: 5, u: 5}?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 15*j - 2. Let w = -23 + 31. Suppose -8 - w = -4*o. What are the prime factors of k(o)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19475.\nAnswer: 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2371*y - 598*y - 587*y - 594*y - 584*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14.9 - -13. Let s = o + 1.899947. Round s to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 - 2 + 2)*(-3 - 2 + 6 + (-2 + 2 + 2)*(4 - 2 - 4) + 1 + 1 + 3 + 2 + 4 - 5).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.61232 to one dp.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 6:32 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/(-15) - 1\/(5\/(-102)). Let k = d + -16. Solve 2*r = -5*z + 7, -k*r - 2 = 4*z + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 4:13 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -3  (b) 0.24  (c) -5.98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*w - 8*w + 4*w)*(-4 + 1 + 0) + 2 - 5 + 5 + 23*w.\nAnswer: 74*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 130 - 89. Let t = 32 + -50. Let b = t + y. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -129 + 2?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3*w**3 + 4*w**2 + 5*w - 2. Let l(x) = 4*x**3 - 5*x**2 - 6*x + 2. Let c(o) = -3*g(o) - 2*l(o). Give c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1208028?\nAnswer: 2, 3, 100669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1743 is divided by 218?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 433748470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 64\/5 of a century?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/21, 203\/6, 0.3?\nAnswer: 203\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**0*l**(-6))\/(l**(4\/7)\/(l\/(l**(-6\/7)*l))) assuming l is positive.\nAnswer: l**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -348 and 9248 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 187, 368, 547, 724, 899, 1072, 1243?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, -72, -311, -782, -1563?\nAnswer: -2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, n: 3, d: 2, w: 1, v: 1, t: 4}. What is prob of sequence tnn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -14, -13, -10, -5, 2, 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zck when three letters picked without replacement from czck.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -869 + 191 = -3*n. Let k = 1419 + -2903\/2. What is the common denominator of k and n\/40 - (3 + -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -316, -311, -306, -301, -296?\n\"Answer: 5*k - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4032 + 5649. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13874*s**4*t**2 + 440*s**3*t**2 + 12*s**2*t**2 - 6027*s*t**2 + 2*s - 4*t**2 wrt s.\nAnswer: -332976*s*t**2 + 2640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 times 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, b: 1, a: 5, o: 9}. Give prob of sequence ogoo.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20332.\nAnswer: 2, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of -p**5\/20 + p**4\/2 + 5*p**2\/2 - p. Let g be d(6). Solve 0 = -2*n - n - l + 6, -g*n - 2*l = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1705451, -6821822, -15349109, -27287312, -42636431, -61396466?\n\"Answer: -1705458*j**2 + 3*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 6*l**3 + 10*l**2 + 2*l + 5. Let q(d) = -d**3 - d**2. Let g(t) = -c(t) - 5*q(t). Calculate g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32d35 (base 14) to base 7.\nAnswer: 1022365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/4)\/((-5)\/(-4)) - 8\/(-40). Let z(x) be the second derivative of u - 27*x**2 + 9\/2*x**3 + 1\/80*x**5 - 3\/8*x**4 - 27*x. Factor z(b).\nAnswer: (b - 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1049 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, x: 3, q: 5, r: 2, m: 1, h: 1}. Give prob of sequence xqr.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 1:09 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*x**3 - x + 2*x**3 - 93 + 91 + 2*x**2 to q*x**3 + g + f*x + t*x**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 117948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 5, 24\/7, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1342 - -1334331?\nAnswer: 1340113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -320\/9 + 36. Suppose -l + 2*m - 8\/9*m**2 = 0. What is m?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -3*s**3 + 2*s + 2. Let a be k(-2). Let n = 1 + 8. Let w = a - n. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d - 1. Suppose 156 = -4*k + 2*o, 3*k + 144 - 34 = 5*o. Let q = k + 36. Let m(w) = -w + 1. Calculate q*y(s) - 5*m(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-116)\/638 + (-303)\/(-33)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of -l**4\/6 - l. Let d(p) = p**3 + 17*p**2. Let i be d(-17). Let t(o) = -8 + i*o**2 + 8 + o**2. Give j(t(a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*x - 88*x = -2, -7*w + 2*x + 81 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v = 5*v + 3*a + 3, -4*v + 3*a + 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, b: 2, s: 5, x: 1}. Give prob of picking 1 s and 1 b.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v. Let s(a) = -193*a**2. What is h(s(k))?\nAnswer: -193*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1320 and 16?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*a - 1160 = -47*a. Calculate the highest common divisor of a and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {m: 6, i: 3, j: 1, p: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((1\/12)\/(2\/(324\/6))).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8288350 by 331534.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + (2 - (2 - -3)). Let l be -1 + (9 - 1\/c). Suppose 0 = u - l - 3. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 2*a + 6 = -5*f, -3*a - 9 = -3*f. Suppose 2*i = f, c + 2*c + 12 = -4*i. Let w(t) = 3*t**2 + 7. Let d(l) = l**2 + 3. Give c*w(b) + 10*d(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9748 + 26812. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6813768*t**2*u - 8*t**2 - t - 6*u**3 + 327983 wrt u?\nAnswer: -6813768*t**2 - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6249, 5725, 5199, 4671, 4141?\nAnswer: 3609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15.7 - 16. What is the biggest value in f, 8, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15 and 7845.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196111 is divided by 432.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1691 - -1690.996482. Round a to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 3960.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of -1\/18*y**4 + 2\/9*y**3 + 0*y + 0 + 1\/180*y**5 - 7*y**2. Solve c(b) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02*283709.8\nAnswer: -5674.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*y**2)*(0*y + 13*y - 10*y + 2).\nAnswer: -6*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 48802517 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -24, 53, -1.2, -3, -5?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1524 = 1525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/10*(-6 - 86\/4). Suppose -3*k = v*k - 25. Let s = 11 - 8. Solve s*y = 3*f + 3, -f = y - 10 + k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 6*v**2 + 10*v - 7. What is the lowest common multiple of 1 and g(-9)?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + 11*s**2 - 6*s + 7. Let v(x) = x**3 - 11*x**2 + 7*x - 7. Let y(g) = -6*o(g) - 5*v(g). Let h be y(11). Sort -2, h, -5, 7.\nAnswer: -5, -2, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -51, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -u**2\/2 - 22741*u + 3599319\/2 = 0.\nAnswer: -45561, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {s: 1, a: 3, o: 8, u: 4, b: 2, j: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 + 5*k + 12. What is p(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nqn when three letters picked without replacement from {q: 6, n: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 - -22. Suppose -340 = 5*k + a, 4*k - h*a + 95 = -206. Let x = 119 + k. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-4)*(-12)\/8. Let j be ((-24)\/(-21))\/(5\/15*6). Which is the closest to -0.1?  (a) j  (b) 2\/7  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -103262610 and -22.\nAnswer: -103262632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.45 + -0.4. Let n = f + 0.25. Put 0.1, n, 2\/5 in descending order.\nAnswer: 2\/5, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/(-105))\/((-50)\/35)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j - 5. Let g be k(-27). Let y = 34 + g. Suppose -2*a = -3*a. Solve a = -o + 4*l - y*l + 3, 21 = 4*o + l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 5381419, 10762841, 16144263, 21525685, 26907107, 32288529?\n\"Answer: 5381422*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(121)\/(sqrt(99)\/(sqrt(9) - (sqrt(9) + sqrt(225) - sqrt(9))))*-4 - (sqrt(55)\/sqrt(5) + 3 - ((sqrt(11) + 1 + sqrt(11) + sqrt(11))*6 + sqrt(11))).\nAnswer: 3 + 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/3*(4 - 1). Let l = 34 + -33. Let n = -2 + l. Sort c, n, 5 in descending order.\nAnswer: 5, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7795791l in millilitres?\nAnswer: 779.5791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.3, 1.4, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 824352\/5 not equal to 164871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 6*o + 110. List the prime factors of m(0).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*r + 323 = 60*r - 629 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n - 18*n + 4 = 5*q, 7*n + 3*q + 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 - (-2 + -7)) + -2. Suppose 5*g + 19 = -5*j + 49, 5*g - u*j - 30 = 0. Let i(a) = a**3 - 6*a**2 + 5*a - 8. Determine i(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - p + 15 = i, 2*i = -114*p + 104*p + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 34 divided by -1627914\nAnswer: -17\/813957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at most 1.5035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 44 + -26. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2517 + -2516. Which is bigger: p or -374.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 509938 and 858?\nAnswer: 1529814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 5*a + 3 = 0, 0 = 61*l - 64*l + a - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 6 - 2)*(18 - 19 - 12)*(3*q + 2*q - 3*q).\nAnswer: 104*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/5)\/r*r\/r**(-1\/4))\/((r*r\/(r*r**(1\/3)*r*r*r))\/r**(-5)))**(-40) assuming r is positive.\nAnswer: r**(266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 62356 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4294, -8583, -12864, -17137, -21402?\nAnswer: -25659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -119, 3.81, 2\/13, 4, 0.176 in ascending order.\nAnswer: -119, 2\/13, 0.176, 3.81, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of -b**6\/360 - 79*b**5\/90 - 157*b**4\/72 + 133*b**2. What is k in u(k) = 0?\nAnswer: -157, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(6\/7)\/(k\/(k*k*k**2\/k)))\/(k**(-3\/2)\/(k*k**(2\/7)*k)))**(-2\/7))**33 assuming k is positive.\nAnswer: k**(-3069\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-2*sqrt(1584) - sqrt(1584))**2*-5 + 5).\nAnswer: -285100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 PM and 11:48 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence db when two letters picked without replacement from bfffbbbffbbbbbbffd?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 1 - 4 = 0. Suppose -18 = -o*x - x. Suppose 0 = w - x*n, w + 4*n = 2*w. Solve w = -7*g + 2*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-1)\/(-1))*14\/(-7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/88)\/((-51)\/34)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -467 + 235 = -8*t. Solve -27*r - 6 = -t*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -208.021+-2.8\nAnswer: -210.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22180 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -52. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3726671?\nAnswer: 13, 439, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 203699 and 414143?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + 11*g**2 + 23*g - 4. Let v be a(-8). Solve -v*l - 5*r = 0, 0 = 3*l + r - 0*r + 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3*q**2 - 289*q + 189. Give v(-97).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 608 and 69364.\nAnswer: 10543328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*y + 12*y - 311. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-6)*(-5)\/2*(-3543)\/1181?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 63 + -63. Let j(z) = -5*z**3 + 28*z**2 + 15*z - 13. Let t be j(6). Solve q = 2*r + t*x + 2 - 4, r - 4*x = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1560808.\nAnswer: 2, 37, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/3 - 119518*g\/3 - 239060.\nAnswer: 2*(g - 59765)*(g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.2 - 2.8. Let g = -0.4000085 + a. Round g to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o - 3*o**3 - o)*(o + 43*o + 41*o) to a*o**2 + s*o**3 + y + t*o + i*o**4 and give i.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*b**3 - 7*b + 16*b + 11*b wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -64*c**3 + 2*c**2 + 69*c + 132. Give o(-2).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1773662 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(u\/(((u**7\/u)\/u)\/u))*u**7)**(-9\/2) assuming u is positive.\nAnswer: u**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-15 - -19)\/((-4)\/(-14)). Let t(w) = w**3 - 14*w**2 + 4*w - 40. Let v be t(l). Calculate the highest common factor of 176 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 5*n + 2. Let h be (-17)\/170*12 - (-32)\/10. Let l(i) = 2 - 6*i - 2*i**2 + 0 + 0*i. Let f(k) = h*l(k) - 3*x(k). Factor f(c).\nAnswer: -(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-716648)\/1868845 + ((-4)\/10)\/((-5)\/5)?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -331, -602, -881, -1174, -1487, -1826, -2197, -2606?\n\"Answer: -n**3 + 2*n**2 - 270*n - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**2\/2 - 74371*m - 5500716 = 0. What is m?\nAnswer: -148668, -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*a - 15865 - 16919 = 0. What are the prime factors of a?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 5:22 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 44*h**2 + 64*h + 7. Let r be u(-2). Solve -19*g - r + 36 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*c + 18 = -68*c. Let w be (-1)\/c*4\/19. What is the closest to -1 in -0.4, w, 0.11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 19*d**2 - d - 6. Let f be g(-19). Suppose 0 = 5*y - f - 142. Suppose n - y - 82 = 0. Calculate the remainder when n is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -13*n**7\/840 - n**6\/360 + n**4\/24 - 11*n**3\/3 + 20*n. Let c(t) be the second derivative of j(t). Calculate c(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c = 15*c + 144. Let x be 13\/c + 2*(-6)\/(-36). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-2\/5))\/z)**(-3\/10))**(11\/4) assuming z is positive.\nAnswer: z**(33\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -3 + 7 + (-6 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0079349km in nanometers?\nAnswer: 7934900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -1\/15*h**6 + 0*h**5 + 0 + 0*h**3 - 1\/6*h**4 - 3*h + 0*h**2. Find the third derivative of o(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s + 5*s - 5*s - 2 + 21*s**2. Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 105869280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.16, -46, 27, -0.3, -1.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1581 - 1582. Let m(w) = -12*w**3 + 2*w**2 + w. What is m(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -251 and -19703.26?\nAnswer: 4945518.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v**2. Let r(o) = 3*o**2 - 8*o. Determine r(n(h)).\nAnswer: 12*h**4 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 53301718 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -178 + 179. Let d(q) = 29*q + 1. Let x be d(j). What is the highest common divisor of x and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/48 and -43\/33072.\nAnswer: 33072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 11:49 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -502, 5 in decreasing order.\nAnswer: 5, 3, -3, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 204 a factor of 7198565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -1.652\nAnswer: 0.3304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 47 and 1425369?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -2*f - 2*y + 18, -4*f - 5*y = -46. Let z(o) be the second derivative of o**3\/6 - 2*o**2 - 311887*o. Calculate z(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of 0*h**4 - 58*h + 0 - 17\/2*h**2 + 0*h**3 + 3\/2*h**5. Differentiate f(k) with respect to k.\nAnswer: 90*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/68*-1*2132\/(-4797)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2925*76.\nAnswer: -222300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 111\/9 - (-1)\/(-3). Suppose -2*a = -j + 29, j + 2*a - 13 - r = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, 2\/7, 0, 0.3.\nAnswer: 0, 2\/7, 0.3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1028266 and 797175.\nAnswer: 1825441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63\/(-210) + 235\/(-50) + 144\/(2 + 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 8, n: 5}. Give prob of sequence nrnr.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78, -247, -798, -1581, -2602, -3867?\nAnswer: -5382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 22607 to the nearest one hundred.\nAnswer: 22600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5125074 divided by 309.\nAnswer: 16586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/17)*y*y)\/y*y\/(y*y*(y\/y**(1\/11)*y)\/y))**(-28\/9)*(y*y**(-1\/2))**(9\/8)*(y**(-2\/3))**(15\/2) assuming y is positive.\nAnswer: y**(-11159\/8976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1162777 is divided by 290544?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.032247 rounded to four decimal places?\nAnswer: 0.0322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (44\/6)\/(36\/(-54)). Let m = -10 - i. Calculate the remainder when 2 + m + -1 + 22 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3368.399ug?\nAnswer: 3368399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -11100, -29956, -56570, -90942, -133072?\n\"Answer: -3879*g**2 - 7219*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -23163*r**2 - 29254857*r + 15156 = 0.\nAnswer: -1263, 4\/7721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 33*y - 199 = 0, -113*w = -117*w - 2*y + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 11:10 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 9*v + 303. What is g(34)?\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (59\/2)\/((-1)\/(-2)). Suppose 3*p - k = 41 + y, -k - 164 = -5*p. Suppose -n = 3*n - p. 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 g(w) = -139*w - 118*w + 291*w + 571 - 120. Let u be g(-21). Is u at least as big as -262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 481298 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 4 = -12. Is y\/7 - (-2044)\/49 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -50918.\nAnswer: -3\/50918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10943*g - 10974*g + 124 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + i = 40. Let k(p) = -3*p - 11. Let s(d) = 4*d + 1. Let o(t) = -k(t) - s(t). Let u be o(i). Calculate the highest common divisor of 90 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 656703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-1)*12\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((0 + sqrt(245) + 2 + 5)**2 + 5).\nAnswer: 98*sqrt(5) + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 111741.9971 - 111749. Let o = -7 - b. Round o to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -2*g - t, 4*g + 5*t - 43 = 92. Let p = -19 + g. Suppose -2*y = -4*d - 92, -2*y + 0*y + 88 = -3*d. What is the remainder when y is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*a**3 - 63204*a**2 + 737820*a - 1222128 = 0. Calculate a.\nAnswer: -738, 2, 276\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.3824814 millilitres?\nAnswer: 0.0003824814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1231 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 26 = -4*l, -10*b - l + 15 = -15*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 155242 (base 10) in base 16?\nAnswer: 25e6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/2*56\/48. Solve -3*m = -x - 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22299 divided by 18\nAnswer: 7433\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*-33*(1 + -2). Suppose -a*u + 2*u - 186 = 0. Sort u, 5, 3, 2 in descending order.\nAnswer: 5, 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 42564 and 56752.\nAnswer: 170256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187*m = -52*m - 149101 - 108749. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -8*g**2 + 406*g + 260. What is the lowest common multiple of 6106 and n(49)?\nAnswer: 67166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 409*q**2 - 3. Let m(j) = 221270*j**2 - 1624. Give -1624*c(a) + 3*m(a).\nAnswer: -406*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 10029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5, -3, -3, -5?\n\"Answer: -w**2 + 5*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - 3*v - 4. Let s be p(4). Let l = -1440 - -1462. Sort s, 1, l in descending order.\nAnswer: l, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*sqrt(175))**2 - (sqrt(336)*-3 - sqrt(21))\/sqrt(3).\nAnswer: 93*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.51 - -4.49. Let w = -17 + 10. Let m = o + w. Which is the third biggest value?  (a) 0.1  (b) 0  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 0.4, -5, -1\/9, -31 in ascending order.\nAnswer: -31, -5, -1\/9, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -156181 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3800, -3823, -3860, -3917, -4000?\nAnswer: -4115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 1 = 0, -19*u + 14*u = c + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -35*m + 416. What is f(11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 3:42 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-63)*101520\/(-480)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((65\/(-150))\/(-13))\/((-3)\/(-12)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 3240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -17*a**3\/3 - 19*a**2\/2 + 2. What is the second derivative of d(h) wrt h?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425) + 1 + sqrt(425))**2 - (0 + sqrt(2448)).\nAnswer: 8*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2872508*n**2 + 681010 wrt n?\nAnswer: 5745016*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 - 5*z**2 - 7*z - 4. Let f be b(-5). Differentiate 17*y + f - 6*y + 2*y + 8*y wrt y.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(242)*2 + 1 - (0 + (sqrt(242) - (sqrt(242) + -1))) - (sqrt(242) + 1 + sqrt(242) + -5 + sqrt(242) + 0 + sqrt(242) + 0))*2)**2.\nAnswer: -704*sqrt(2) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 181028273 to the nearest integer?\nAnswer: 13455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -355 = 15*n - 20*n. Suppose 0 = -d + 924 + n. Suppose 0*h - 5*h = -d. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31386*n - 15 = 31391*n, -7 = -b - n for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (664\/100)\/(3860\/(-9650))?\nAnswer: -83\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -x**3\/3 - 7*x**2 + 152*x + 43. Let t = -6 - -8. What is the lowest common multiple of t and z(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 391 = 3*r + 2*l, 19*r - 23*r + 5*l = -460. What is the remainder when 1370 is divided by r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 6:17 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -287*h**3 - 28*h*n + h + 21*n - 454 wrt h?\nAnswer: -861*h**2 - 28*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(49068\/747) + 98\/(-2303)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*u - 5*l, -u + 3*l + 9 = 4*u. Put 4, u, 5, 3 in increasing order.\nAnswer: u, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -102 + 61. Round o to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -216, -836, -1868, -3312?\nAnswer: -5168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 2*i + 4. Let z be b(0). Suppose 0 = 9*j + z*j - 2249. Suppose -3*q = -2*m - 3*m + j, 4 = q. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -312903*t + 40520*t + 1123775*t + 777365*t.\nAnswer: 1628757*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*r - 26. Let m(g) = -g**3 - 11*g**2. Determine m(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s**3 + 184*s**2 + 10708*s - 22120 = 0. Calculate s.\nAnswer: -35, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 79688 and 30775221.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -62165 by -12433.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + s + 3. Let d be p(-3). Find the common denominator of (-30)\/(0 - d\/(-6)) and -101\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from {u: 7, s: 1, v: 1, l: 4, o: 3, i: 2}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/2 + -42*34\/663.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - -1)\/(2\/(-22)). Calculate the common denominator of 34\/(-22) - 2\/n and -101\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13601 is divided by 6780.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/4449 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13.56 - -0.96. Let u = 1238.775 - 1226. Let a = u + y. What is a rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1540, 182, 5180, 13454, 25004, 39830, 57932?\n\"Answer: 1638*l**2 - 3192*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/667?  (a) 2\/3  (b) 0.4  (c) 8  (d) -0.4  (e) 45  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8738604 to 3 decimal places.\nAnswer: 0.874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-11)\/((-66)\/(-7188)))\/2. Let g = m - -606. Solve -5 - g = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24307 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -264*y**2 + 2*y - 5. Determine h(2).\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -n**2\/4 + 4160*n - 16636 = 0.\nAnswer: 4, 16636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*m - 20 = 0, 2*m + 4 = -2*m. Let o(d) be the second derivative of 5*d**4\/12 - d**3\/6 + 11*d**2\/2 - 16*d. What are the prime factors of o(c)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -576847, -1153700, -1730555, -2307412, -2884271?\n\"Answer: -t**2 - 576850*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**2 + 697*p**3 - 2 + 9*p**2 - 701*p**3 as r*p + l*p**2 + d + t*p**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - -6)\/((-15)\/(-30)). What is the highest common factor of 21 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10639.1 - -10639. Let z = 19 + -18. Which is the closest to 1?  (a) -3\/29  (b) r  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x**2 + 4*x. Let i(u) = 3*u**2 + 4*u. Let y(d) = -4*a(d) + 3*i(d). Let v be y(5). Suppose 4*g = p - 4 - 2, -2*g - 48 = -v*p. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-5))\/(-2) - (-135)\/25. Suppose p*y + z = -4, -4*y - 4*z = -3*z + 4. Is y at least -4\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.201 - -0.099. Let z = 6 + -9. Which is the second smallest value?  (a) -5  (b) z  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-227*p - 35*p**5 + 227*p)*((1 - 2 + 2)*(3 - 2 - 2) - 3 - 2 + 3).\nAnswer: 105*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/35057, -0.2, -3, -0.239 in increasing order.\nAnswer: -3, -0.239, -0.2, -2\/35057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 953 - -348. Suppose 4*p - g - 202 = u, -4*p - 2*g = -1494. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.07 + -0.07. Let y = -2 - -2.0000008. Let c = a + y. What is c rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 + 4*b. Calculate x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 751 - 361. Suppose 0 = 3*p + 2*p - i. Let u = p + -54. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*p + 13*p - 60 = 0. What is the second smallest value in -1, -22, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 4854040.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -13. Let o be 2\/(-4)*(2 + 0). Let u = -862 + 864. What is the nearest to o in n, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2174 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**(2\/15)*y)**41 assuming y is positive.\nAnswer: y**(1927\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/12)\/(1*10\/(-35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -48, -169, -362, -621, -940?\n\"Answer: u**3 - 42*u**2 - 2*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.272317656*-3.\nAnswer: -0.816952968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from niknzinzinveenznzn. What is prob of sequence viz?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + z = -3*z + 22, -2*j + 1 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-57)\/(-3) - (-24)\/(-6). Suppose 5*f + 5*i = -10, 0 = 4*f + 13*i - j*i - 4. Solve 0 = -g + 2*p + 11, -4*p - 19 + 3 = f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(275\/(-22) + 15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 411044 divided by 2.\nAnswer: 205522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - ((10 - (-11 - -17)) + -6 + (4 - -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 t when four letters picked without replacement from {t: 4, r: 14}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0996 to three dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13305 - -24242. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of k**4\/3 + 11*k**3\/6 - 2*k + 6. Let c(y) = y**2. Determine c(v(f)).\nAnswer: 16*f**4 + 88*f**3 + 121*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by -4287845?\nAnswer: -16\/4287845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -94*s + 30*s**3 + 20*s**2 - 76*s + 207*s - 25*s**4 + 5*s**5 - 77*s.\nAnswer: 5*s*(s - 2)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 400, 0.39, -1 in descending order.\nAnswer: 400, 3, 0.39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -84*s**3 + 66*s**2 + 49*s + 4. Is b(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6\/4*(-3570)\/(-297279) + 0 and 79\/116?\nAnswer: 7772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16560\/12420*(-114)\/4?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**3*o**3*x + 1456783*d**3*x + 13*d**2*o**3*x + 976*d**2*o**2*x - 2*d*x - o**3*x + 11*o**3 wrt d.\nAnswer: 6*o**3*x + 8740698*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-76)\/16 + (-73)\/13140*-1179?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -214102024 (base 5) to base 2\nAnswer: -11100001111001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {h: 1, b: 1, m: 1, i: 1, o: 2, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j\/j**(-1\/2))\/j)\/(j\/j**0))**(-6\/17))**(13\/6) assuming j is positive.\nAnswer: j**(13\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28 - -17 - 1) + 14 + (-1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 68 - 124. Let l = 62 + j. Calculate the smallest common multiple of l and 1*(3 - 6 - -18).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15061 is divided by 94.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 11, 500, 5 in increasing order.\nAnswer: -1, 5, 11, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 258852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3328 + 3480. Calculate the highest common divisor of v and 1577.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000569 rounded to six decimal places?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -20*y + 10. Determine h(5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qhhfhqjfhof. What is prob of sequence ffqq?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 34\/7*x**4 + 8\/7*x**5 + 4\/7*x + 48\/7*x**3 - 26\/7*x**2 = 0 for x.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 - 22*t + 26. Let k be l(21). Suppose -q = -5*i + k, -4 = -q + 1. Calculate the smallest common multiple of i and 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of 0*x**5 - 1\/3*x**3 + 2 + 0*x**4 + 0*x**6 - 3\/7*x**7 + 0*x + 0*x**2. Find the third derivative of t(n) wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**2 + s**2 - 8*s**2 + s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8343375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -8*a + 2*a. Let r = 2 - a. Let y = 0.5 + 3.5. What is the second biggest value in y, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 113 + 9297.3\nAnswer: 9410.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/58475 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2 - 7*d - 10. Let k be (-18)\/1*15\/(-12)*2. Suppose -37*h - k = -42*h. Calculate x(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1972, -3943, -5914, -7885?\n\"Answer: -1971*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -0*t + 4*t - 14, 3*u - 9 = -2*t. Let v be (-3*u)\/(2\/2). Let c be (3 + -2223)*(-10000)\/v. What is c rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1376\/(-112) + (2 - -10)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/10 - (-644)\/10. Suppose -3*r + 9 = 0, -61*q + h*q - 3*r = 996. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 1 = r. Let o(i) = -2*i**r + 2*i**2 + 2*i**2 - 3*i**2. Let s(n) be the first derivative of 2*n**3\/3 + 1. What is s(o(q))?\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 96 and 1476636?\nAnswer: 11813088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -444, -902, -1362, -1824?\n\"Answer: -b**2 - 455*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 467, 19, -4, 7 in increasing order.\nAnswer: -4, 7, 19, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 8 = 6*i. Let d = i - 0. Let n(c) = c**d - 3*c + 2*c - 1 - 3*c - 1. Determine n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -25208, -50412, -75616?\n\"Answer: -25204*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 13*s**3 - 3*s**2 + 5*s + 5. Let t(b) = 19*b**3 - 4*b**2 + 7*b + 7. What is 5*t(g) - 7*w(g)?\nAnswer: 4*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 135.13 - 137.3. Which is the second biggest value?  (a) 1\/10  (b) 2\/3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 1273.\nAnswer: -1\/1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12444102 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 4*p - 425 = 12*t - 3*t, 4*p = 33*t + 312 + 29 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 - 51 = -y. Solve -y*k - 10 = -76*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -4*u - 57. Let z be y(-8). Let f be (315\/z + -3)\/((-39)\/130). Calculate the highest common divisor of f and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -q**3\/3 + 19*q**2\/2 - 16*q - 7. Let i be j(18). Suppose 2 = i*o + 4*t, 2*o = -0*o + t + 12. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/22 - 43\/(-176). Let a(x) be the first derivative of -1 + t*x**4 + 0*x - 1\/6*x**3 + 1\/8*x**2. Factor a(m).\nAnswer: m*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/6)\/((-2)\/3). Suppose 7 = -o - m. Let i = 4 - o. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(343) + -1 + 0 + -1 + sqrt(343))**2.\nAnswer: 84*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 5\/161 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -220020111 + 2010102?\nAnswer: -211010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -1219*j**4 - 15*j**3 + 10*j**2 + 3749. Let z(d) = d**4 - 3*d**3 + 2*d**2. Let u(m) = -q(m) + 5*z(m). What is the derivative of u(o) wrt o?\nAnswer: 4896*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1601788101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((k*k**(-3)*k)\/k)\/(k**7\/k))**(3\/4))**28)**(-1\/79) assuming k is positive.\nAnswer: k**(168\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -21  (b) -56  (c) 62\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*i - 16*i - 6*i = -608 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1214465574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 5*h - 17. Let g be (8 - 2)*6\/4. Suppose j + 2*u - 12 = 0, -4*j = -g*u + 6*u - 37. What is the remainder when 127 is divided by d(j)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssjsjssssssss. What is prob of sequence sjj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 415359 is divided by 222?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 22*r. Let p(t) = -11*t. What is 4*c(v) + 7*p(v)?\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 99 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 178137984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-4)*2 - -3. Let g(n) = n**2 + 11*n + 29. Let u be g(-9). Solve -v*h + u = 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36*d - d - 3 + 6 + (2 - 3 - 1)*(d + 4*d - 6*d) - d + 1 - 1 to h*d + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83821.\nAnswer: 109, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 5*i + 29, 45*y - 41*y + 9 = 5*i. Calculate the remainder when 56 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5 + (-17)\/(-21)*6 + 120432\/28. Calculate the greatest common factor of d and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3501 - -3504. Which is the third smallest value?  (a) 2  (b) -81  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -110737 and 209?\nAnswer: -23144033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.4  (b) -8\/7  (c) -9.2  (d) 1  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2 - 68*k.\nAnswer: k*(k - 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (49230\/(-3829))\/((-6)\/14).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -18 + 98 + -78?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -4*t**3 + t**2 - 2*t + 1. Suppose 5*c - 4*c = 2. Let u(v) = 2*v**2 - 8*v**3 + c - 5*v + v**2 - v**3. Calculate -5*b(g) + 2*u(g).\nAnswer: 2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u. Let k(y) = 289*y - 12 - 734*y + 311*y + 248*y. Calculate l(k(v)).\nAnswer: -228*v + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 5  (c) -4118110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1324*b = 1316*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26 + 31. Suppose a*z - 78 = 3*z. Let b(l) = -8*l**3 - 11*l**2 + 5*l - 4. Let o be b(-4). Calculate the highest common divisor of z and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5340.2524182 + -0.06\nAnswer: 5340.1924182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ca2d (base 15) in base 11?\nAnswer: 2a173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -5*y + 3*q + 11, 3*y + 4 = -q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -38673006 divided by 12891002\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 48 = -4*t. Suppose -b = 2*b + 3*y - 21, -2*b - t = -5*y. Calculate the lowest common multiple of 10 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 5:02 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*p - 321333 = -13938*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1635235 >= 1635234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5438\/3 - -1806. Which is the third biggest value?  (a) d  (b) 0.3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31 + 4 + 7)*(-2 + 1 + 0)*(-7 + 7 + 3*t**4).\nAnswer: 60*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 20 = w, 0*w - 3*w = 3*o. Let u be 25\/3 - w\/(-6). Suppose -1 = 2*t - u. Solve t*c - 11 = -5*r, -16 = c - 4*r - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0292244um in millimeters?\nAnswer: 0.0000292244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/289, -1, 5 in descending order.\nAnswer: 5, -2\/289, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 48 = -j. Is (17968\/j - -2) + (-1)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**(2\/5)*j))\/j)\/j*(j**(1\/10)*j)\/j*(j*j\/j**(3\/7)*j*j)\/j*j\/(j*j**(-2)\/j) assuming j is positive.\nAnswer: j**(229\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14588*4.\nAnswer: 58352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-8) - 56\/(-32). Suppose 4*y = -d*w + 6, -2*w - 2 = -5*y - 8. Suppose -3*a = 2*a. Solve a = -7*k + w*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 748 + -544. Calculate the smallest common multiple of y and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l + 171. Let s be u(85). What is the third biggest value in s, -0.051, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -12*i + 2. Let k(m) = -6*m + 1. Let z(h) = 3*h**3 - 21*h**2 - 57*h + 251. Let c be z(8). What is c*k(l) + 6*q(l)?\nAnswer: 6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*c - 1 - 5*c**4 + 12*c**4 - 22*c**2 + 20*c**2 - 5*c**4 to the form x + p*c + s*c**4 + v*c**3 + h*c**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -2. Let i(w) = 5*w + 5 - 3 - w**2 - 4*w. Let v be i(u). Solve 2*d + 12 = -2*x, v*d - 4 = x - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -55*i**3 - 42*i**2 - 38*i + 3. Give b(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5601263157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of 0*p**3 + 1\/30*p**6 + 0 + 21\/10*p**5 + 181*p + 0*p**4 + 129\/2*p**2. Differentiate d(w) with respect to w.\nAnswer: 4*w**3 + 126*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -327264 and 72.8?\nAnswer: 327336.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -11366.1, 2\/3, 3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of -i**5\/20 - i**4\/12 + i**3\/6 + 17*i**2 + 194*i. Calculate u(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 220721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 + 38*o**2 + 69*o + 433. What are the prime factors of j(-34)?\nAnswer: 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 3*i + 15 = -0*z, 6 = -z + 4*i. Let n = 8 - 5. Suppose -n*a + z*a = -21000. Round a to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 3*o - 16. Let a be (5 + -3)\/2 - o. Let j be a\/(-6)*8*11. What is j rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -4*i**3 + 9*i**3 + 10 - 8*i**2 - 4*i**3. What are the prime factors of v(8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -6*l + 19. Let i = -2.5 + 2. Which is the biggest value?  (a) l  (b) i  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffffff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.027 + 1.131. Which is greater: l or -1\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 584 (base 10) to base 16\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -521 + 735. Let b = 111 - w. Let u = b - -102.9939. What is u rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 0 = -24. Let i = w - 7. Let -y**4 + y**3 - y**3 + 0*y**3 - y**i + 2*y**3 = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7, -1, 5, 11?\n\"Answer: 6*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.177276 to three dps.\nAnswer: 1.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 4:35 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 5*a = 25. Let h = a - 3. Solve 14 = -2*l - 2*y, -4*l - h*y = 18 + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(27) + sqrt(27))*3 + sqrt(189)\/(sqrt(14)\/sqrt(2) + sqrt(7)))\/(3*sqrt(5184)).\nAnswer: sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 + 9 - 9 + 8)*(0 - 20 + 5)*(-12*f + 12*f + 11*f**5).\nAnswer: -5445*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 16, 0 = -5*u - 5*o - 6 - 34. Suppose -15 = -5*b - 0. Let v be b*(-1 - (-2 + 0)). Put u, v, 0 in ascending order.\nAnswer: u, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 5:46 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -288*n**3 + 2*n**2 + 8*n + 17. Let x(d) = -865*d**3 + 6*d**2 + 29*d + 49. Let g(p) = 11*h(p) - 4*x(p). Find the second derivative of g(b) wrt b.\nAnswer: 1752*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5254, 10510, 15766, 21022?\n\"Answer: 5256*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 - 5*w**2 + 4*w**2)*(-2*w**2 + 1 - 2 + 0).\nAnswer: 2*w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/4032 and 67\/55296.\nAnswer: 387072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 381 + -118. Differentiate -f - 245 + 489 - 42*v**2 wrt v.\nAnswer: -84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b\/(b\/(b\/(b**(2\/17)\/b)))*b*((b*b\/(b**(-1)*b))\/b)\/b)**(-3) assuming b is positive.\nAnswer: b**(-249\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/3, 0.2, -2, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -126129*1200.\nAnswer: -151354800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 1 = -2*x + 4, 3*a = -4*x - 3. Suppose 5*d = 5*q + 32 - 2, 25 = 5*d. Put q, -4, x in decreasing order.\nAnswer: q, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01017835 rounded to 5 decimal places?\nAnswer: 0.01018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + 5*z**2 - 4*z + 2. Let s be f(4). Let n(k) = 2*k**2 - 9*k - 2*k**2 - 6 + 5*k**s + k. Let w(b) = -b**2 + b + 1. Give -n(t) - 6*w(t).\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of m**6\/3 - 131*m**4\/4 - 2*m**3\/3 + 4*m - 2281. Find the third derivative of j(r) wrt r.\nAnswer: 120*r**2 - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*p + 129 = 66*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from kffymsw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3015375 + -1039563. Let x = -1975797.00009 + u. Let s = -15 + x. What is s rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 8*h**2 - 4*h - 11. Let p be 297\/44 + (-2)\/(-8). What is b(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1 and 1941969.\nAnswer: 1941970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -23*m**3 - 251*m + 28. Let d(y) = -8*y**3 - 84*y + 8. Calculate 7*d(g) - 2*i(g).\nAnswer: -10*g**3 - 86*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -92*q**5 + 9*q**3 - 2671*q**2.\nAnswer: -5520*q**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-6))\/(7\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12694285 and 508.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 304482 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 107551?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 5*f. Let p(o) = -20440862*o. Determine p(x(c)).\nAnswer: -102204310*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 + -14.31861.\nAnswer: -14.37861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -5*s + 3*b, -1996*b - 2 = 2*s - 1999*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3575, 14315, 32215, 57275, 89495, 128875?\n\"Answer: 3580*c**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 37*d**2 + 571*d - 3702. Determine z(17).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2764, -5497, -8156, -10705, -13108, -15329?\nAnswer: -17332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 42683, 87677, 132673, 177671, 222671?\n\"Answer: c**2 + 44991*c - 2309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -1203?\nAnswer: -5\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -567, -555, -543, -531?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 22\/(-3)*3\/(-1). Let v = 4725 - 4659. What is the greatest common divisor of p and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52 + 129 - 77 - 2013*f to t + h*f and give h.\nAnswer: -2013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 47439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gkkxkxkkkgkkkkxgkkgk. What is prob of picking 3 x?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23762 is divided by 1399?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 4*z**2. Let c(v) be the second derivative of -v**7\/1260 + 2*v**4 - 11*v. Let h(r) be the third derivative of c(r). Calculate m(h(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14.6 - -1.4. Let w = 13 + c. What is the biggest value in w, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 18198750.\nAnswer: 18198750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*k - 20 = 33*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + (-2)\/4)*-4. Find the first derivative of -4 + 2 + a*c + 1 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 5:14 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 21 = 1. Let g = -5 + t. Find the third derivative of -6*r**6 - 5*r**2 + 3*r**6 + 2*r**6 - r**g wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -3*a + 4*a - 35*a**3 + 1 + 36*a**3. Let r(d) = -6*d**3 - 3*d - 4. Let c(u) = -r(u) - 5*s(u). Let h be c(-1). What is the biggest value in 2, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 4*o**4 - 416*o**3 - 3140*o**2 + 3552*o = 0.\nAnswer: -8, 0, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/3 or 3191.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 9*j. Let o(t) be the second derivative of -t**3 + 197*t. Determine b(o(l)).\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-5))\/((-45)\/525).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - 100011110000101101001?\nAnswer: -100011110000101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, -1, -11, -23, -37, -53?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.01, -3008, 42?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -51 in 1036, -0.19, 5?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8)\/(-24) - ((-80)\/6)\/5. Suppose -4*m = -t*m - 1087. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3002.683 tonnes?\nAnswer: 3002683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 + 2*p in the form g*p + d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 8875*f**2 + 7*f - 2301. Let n(i) = -4436*i**2 - 3*i + 1151. Let g(c) = 7*n(c) + 3*p(c). Differentiate g(y) wrt y.\nAnswer: -8854*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 3 - (1 + -4 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -73.9, -2, -3 in decreasing order.\nAnswer: -2, -3, -73.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.7 + -0.1. Let s = v - -4.4. Let k = -5 + 3. Sort 1, s, k in ascending order.\nAnswer: k, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 145, 307, 479, 667, 877?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 557564377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 99\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 4:34 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from {h: 11, u: 5}?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -169\/460 - 3\/92. Let q = 0.67617 - -0.32383. What is the nearest to n in q, -2, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.6174 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -1\/6  (c) 0.018  (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 347*q - 692*q = -3*b - 348*q - 63, 0 = 2*b + 5*q + 57 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2483450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5040) + 2*sqrt(5040)*-1 - (sqrt(5040) + sqrt(5040)*-1)*-2)\/((sqrt(5) - (sqrt(320)\/sqrt(4) + sqrt(5))) + sqrt(5) + -1*sqrt(405))*-3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 q when three letters picked without replacement from gggqgggggggqghqggggg?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1038.46458 rounded to one dp?\nAnswer: -1038.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17222.\nAnswer: 2, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.047 and 0.01.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -47*y**3 - 5*y**2 + 15*y + 43. Let m(f) = 23*f**3 + 3*f**2 - 8*f - 22. Let u(a) = -7*m(a) - 3*z(a). Is u(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 113 - y**2 - 11169*y + 24 + 11168*y as a*y**2 + i + n*y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 781250\/3 - 2500\/3*l + 2\/3*l**2 = 0.\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 45*d - 2*d + 15*d - 348 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 84, -844, -1716, -2526, -3268, -3936, -4524?\n\"Answer: n**3 + 22*n**2 - 1001*n + 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233344341 (base 6) to base 11.\nAnswer: 251414a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28 - -0.4004.\nAnswer: 28.4004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/2*((-24)\/(-384))\/((-6)\/696)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (258\/946)\/(45\/220)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -31 + 31 - (0 + 2). Let g be (-3)\/((-6)\/4 + 3) - y. Solve -2*w - 5*o + 7 + g = 0, -2*w + 4*o - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + -7. Let s = -3 + -9. Let l = h - s. What is the nearest to l in 1\/4, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 22 = 72*r - 15 - 15, -v = 5*r + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 66 + -64. Suppose r + 20 = 5*y, -v*r = -y - 3*y + 10. Let i = 1 + -1.4. Which is the second biggest value?  (a) -1\/3  (b) i  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 5*q**5 + 40*q**4 - 1715*q**3 + 10190*q**2 - 4020*q - 63000 = 0.\nAnswer: -25, -2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1306440160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 - 15. What is the second smallest value in -3\/20, i, 2?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*p + 20*p + 5 = 2*m, 0 = 4*m - 5*p - 25. Let o(x) be the third derivative of -x**4\/8 - x**3 - x**2. Let w(j) = -4*j - 7. Give m*w(f) - 6*o(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5343 and 9.\nAnswer: -48087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 AM and 8:09 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -1234?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -199, -196, -193, -190, -187?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1422198 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 51*r**2 - 50*r + 11. Let a be (30\/(-18))\/((-3)\/(-90)). What is the remainder when y(a) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -74. Let x(o) = -o**2 + 7*o - 4. What is the remainder when p is divided by x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of i**5\/100 - i**4\/30 - i**3\/30 + i**2\/5 - 6*i. Solve p(d) = 0 for d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (0 - -1)) + -1 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*c + 18 = 19*c. Let t(o) = -52*o - 9. What are the prime factors of t(c)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -79.53\nAnswer: 238.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0*2\/4 + 33. Suppose 8 = -y - 5*v, 2 = 4*y + v + 2*v. Suppose y*u = -u + a. What is the highest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19.3 - -29.7. Let p = g - 44. Let d = 748\/5 - 149. Which is the second smallest value?  (a) 0.5  (b) p  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (81\/(-36))\/((-1)\/16). Suppose -16 = -4*f, -p = -k + f - 10. Calculate the least common multiple of (-16)\/(3 + k\/(-9)) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t. Let d(h) = h**2 - 30083*h + 1. Calculate v(d(x)).\nAnswer: 2*x**2 - 60166*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**30*o)**(-34)*o**14*o\/((o\/o**(-2\/51))\/o) assuming o is positive.\nAnswer: o**(49315\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 21*b + 7. Let k(h) = h**3 + h**2 - 5*h + 2. Let n be k(2). Let s(j) = -6*j - n*j - 17 + 14. Let t(l) = 4*g(l) + 9*s(l). What is t(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(17)*-3 - (sqrt(17) + (-1*sqrt(153))**2).\nAnswer: -155 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**2 - 60*s - 60. Let b be t(31). Solve 4*c - 4 = 5*w + 2, 2*w + b = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 340, 343, 346, 349, 352, 355?\n\"Answer: 3*d + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.316 - -313.984. What is j rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 138*d - 7040. Give l(51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g**4 - g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 86 - 20. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 31*t = -78589 - 406348. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/5)\/(l**(-1\/5)*l*l)*(l*l**(-2\/7))\/(l\/(l*l**1*l*l)) assuming l is positive.\nAnswer: l**(53\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(152) - (sqrt(152) - (1*sqrt(152) - sqrt(152))*-3))\/((2*sqrt(96))\/sqrt(12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28*c**4 + 5*c**2 - 11*c - 5*c**2 - 34*c**4 wrt c.\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 11:41 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -158704 - -238161. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1 + (-41)\/(-30) + -15 + 13 and -23\/22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -240*l + 230*l + 1 - 1.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 49 + 23. Suppose q = -2*h + 11*h. What is the highest common divisor of 20 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-899)\/58 - -51) + -35. Let 2\/3*u**4 + 0 + 0*u**2 + p*u**3 + 0*u + 1\/6*u**5 = 0. Calculate u.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + 881?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of -5*f**8\/336 - f**7\/21 + 5*f**6\/24 + 5*f**5\/6 - 5*f**4\/6 - 20*f**3\/3 + 109*f**2. Solve x(c) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b. Let g(a) = -12*a. Give -4*g(d) + 15*z(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 69.38, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.1, -1\/2, 0.5, -0.4 in descending order.\nAnswer: 4, 0.5, -0.1, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 217061 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.056 * 1864.38\nAnswer: 104.40528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5*((-14)\/10 - 24\/(-40)). What are the prime factors of ((-2)\/x)\/(1*4\/2680)?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4430384274 to the power of 1\/2, to the nearest integer?\nAnswer: 66561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 497903692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-8\/5)\/p**(-1\/7) assuming p is positive.\nAnswer: p**(-51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15d0 (base 14) to base 9.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 + 4. Let w be s(0). Suppose -w*j = 0, -5*f + 4*f + 4*j = -15. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59, -86, -115, -146?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w and 1 x when four letters picked without replacement from wwwwwxwwxw?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v - 1. Let q(d) = 3*d + 11. Let k be q(-4). Determine b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxpp when four letters picked without replacement from xpxpxppppxp?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6384 and 1946?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 168*n + 3679. What is z(19)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1113065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -19. Suppose k*s = 9*s. What is the second biggest value in -0.1, s, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 106 + (-3 - (2 + -3)). Suppose 2*c - 7*c + 2*h = -a, 0 = -c - 4*h + 34. What is the highest common factor of 176 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -51969*f**4*q - 2*f**4 - 2*f**3*q + f**2*q - 3981128*f**2 wrt f?\nAnswer: -1247256*f*q - 48*f - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1137106.\nAnswer: 2, 509, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1780513 divided by 203\nAnswer: -8771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 10:49 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/419 and 31\/5?\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 AM and 7:05 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000542029 to six dps.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from hgzghgzeeg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -8*l**2 - 23*l - 146. Let i be h(-5). Let t = 1318 + i. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 240 is divided by 39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13524 (base 6) to base 16.\nAnswer: 85c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 50232525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.258 in -2, 2\/5, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 6350196, 12700392, 19050588, 25400784, 31750980, 38101176?\n\"Answer: 6350196*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2734921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 83, 404, 1217, 2750, 5231?\nAnswer: 8888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1313 + -3931\/3. What is the closest to 2 in v, 4, -2\/9, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1181?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t**(2\/15)*t)\/t)\/t**(2\/5)*t\/(t\/(t\/(t\/(((t*t**(-7))\/t)\/t))))*t\/(t*t**(-7)*t*t*t*t))**(-33))**(-1\/2) assuming t is positive.\nAnswer: t**(-869\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lnnlnln. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 - 3*a**2 - 6*a - 9. Suppose -7*u - 15 = -2*u. Let n be p(u). Let h be 2\/6*293 + 3\/n. Calculate the greatest common divisor of h and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 0 - 5. Suppose x = 5*m + 2 + l, -5*x + 15 = -2*m. Suppose -2*h = -9 + x. Solve -4*q + 4 = -2*w - 2*w, h*w = -2*q - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((-832)\/8)*4\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 518 and 14816354.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 4*w + 9. Let k be ((-1)\/2)\/(0 + -3). What is the closest to -1\/3 in -1, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -88, -189, -330, -511, -732, -993?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 51898*c**2*p**5 - 3*c**2*p**2 - 2*c*p**2 + 154*c*p - 5*p**2 wrt p.\nAnswer: 3113880*c**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -740999 or -0.5?\nAnswer: -740999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 AM and 10:29 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40*((-100681)\/(-50388) - 2) and -47\/561.\nAnswer: 7293","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 - 17. List the prime factors of 326\/6 + (-3)\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2527, 17376, 57679, 136162, 265551, 458572, 727951, 1086414?\nAnswer: 1546687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -652, -601, -464, -199, 236, 883, 1784?\nAnswer: 2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3*q + 47. Give m(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -754?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -802 + 1361. Does 43 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -151487, -302977, -454469, -605963, -757459?\nAnswer: -908957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 177 - 170. What is the remainder when r is divided by 9\/(-2)*(-4)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353109.6 micrometers in centimeters?\nAnswer: 35.31096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -11 - (-7 + 0) - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (75\/90)\/(9\/54).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05752 rounded to 3 dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of i**8\/336 + i**7\/14 + 67*i**6\/120 + 43*i**5\/20 + 14*i**4\/3 + 6*i**3 + 12*i**2 + 4. Factor l(z).\nAnswer: (z + 1)**2*(z + 2)**2*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 2:25 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 + 44. Calculate the remainder when 82 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204)\/(sqrt(12) - ((sqrt(768)*-4 - sqrt(12)) + sqrt(12))))**2.\nAnswer: 17\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 119879, 119651, 119425, 119201?\n\"Answer: y**2 - 231*y + 120109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6607 + -27483\/4. Let t = -265 - i. Which is the nearest to -1\/2?  (a) 0  (b) -3\/4  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8326.412l to millilitres.\nAnswer: 8326412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1679101145 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5432815 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 353349679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 171\/36 + 13\/52*-8.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l**2 - 14*l + 6. Let x be s(7). Let f(q) = -458*q**2 + 20*q - 142. Let v be f(x). What is v rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 57405, 114812, 172219, 229626, 287033, 344440?\nAnswer: 401847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -4, 217.\nAnswer: -4, -3, 1, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + (-3 + 3)\/4. Suppose -m*n = 2*n - 16. Suppose -4*i + 2*i = -n*j + 104, -3*i = j - 12. Solve 2*v - 5*c - 9 = -j, 11 = -2*v + c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 8*n**2 - 7*n - 14. Let a be q(-8). Suppose 8*t - 7*t = a. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5506516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/4)\/((-21)\/24 - -1). Suppose 4*v + n*h = v + 84, 4*h = 3*v - 84. Let i(r) = 12*r - v*r + 12*r. Let l(u) = -13*u. What is i(l(y))?\nAnswer: 52*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + 0)\/(-11*9\/(-81774)). Let l = t + 1254. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -131121200?\nAnswer: -131121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2394235 and 721.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 + 6*o**2 + 3*o - 7. What is g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.4 - 3.8. Let b = f - -2.59. What is b rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(-7)*l)*(l*(l*l**(2\/9)*l*l)\/l)\/l*l)\/((l\/((l\/((l**11*l*l*l)\/l))\/l)*l)\/((l\/(l\/(l*l**(-9\/7)\/l*l*l)))\/l)) assuming l is positive.\nAnswer: l**(-319\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -203 (base 8) in base 6?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - 0 - (-64)\/12)*3. Let x be 53 + (16\/g - 2\/(-5)). Let o be -2*((-153)\/66 - 10\/x). Solve 5*y + 0*y - 2*m - 13 = 0, -m - o = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 10*f**2 + 4*f + 2. Let h be j(-1). Let l(u) = u**3 - 6*u**2 - 13*u - 19. Let s be l(h). Solve -s*d + 0 = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 6:14 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + (1 - (-5)\/8). Let w(i) = 2*i**2 - 66*i - 4. Let v be w(33). Put j, 1, v, 3 in increasing order.\nAnswer: v, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(-5)\/d))**(44\/7)*d**(3\/14)\/d**(-1\/15) assuming d is positive.\nAnswer: d**(9299\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -9*m**4 + 21*m**3 - 18*m**2 + 4*m. Let t(g) = -36*g**4 + 84*g**3 - 73*g**2 + 16*g. Let h(q) = 9*r(q) - 2*t(q). Find a, given that h(a) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15414908 + 5\nAnswer: 15414913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(240)*-2 - sqrt(240))\/(sqrt(605)*-1).\nAnswer: 12*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 278*x + 3600. Calculate k(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**3 + 34118*q - 34118*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6730596364 to the nearest integer?\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200210122 + -10?\nAnswer: 200210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 502.929mg in kilograms?\nAnswer: 0.000502929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 2*u + 15, -3*w + 2*u + 8 = -1. Suppose 0 = 4*z - w*z + 1. Let k be 2 - (84\/27 + z). What is the smallest value in 3\/7, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the second derivative of -x**5\/10 - x**4\/6 - x**3\/6 - x**2 - 2*x. Let j be (-42)\/(-28)*(-608)\/(-3). Let c be 12\/32 - j\/128. What is l(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -126 + 318. Suppose 0 = -i + 24 + b. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1119386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 7*p**2 + 6*p + 2. Suppose 3*m = -m - 3*j + 47, 0 = m + 2*j - 8. Suppose 7*c + 21 = -m. Calculate y(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 AM and 10:09 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28.37 - -0.37. Let o = 1 + s. Let h = o - -30. Sort -3, 4, -0.5, h in increasing order.\nAnswer: -3, -0.5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -12\/5, -82, -1\/9?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 206160 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(6)*-5 + sqrt(12)\/sqrt(32))\/(4*1*sqrt(300)))**2.\nAnswer: 441\/12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 89 = -12*i. Let f(l) = -3*l**2 + 22*l + 7. Let d be f(i). Let p(a) = a**2 + 4*a - 40. Let q be p(d). Solve -14 = -q*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8 - 527\/(-68)) + 2594\/8. Round l to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2854387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34462*m**5 - 1696*m - 10 wrt m.\nAnswer: 689240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 1  (c) 42  (d) -0.4  (e) 0.238  (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 - 7*d + 2. Let v be w(6). Let y = 9 + 1. Is v\/(((-3)\/y)\/3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2189854721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 529777.5 decades?\nAnswer: 52977.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -114\/11 - -331\/33. Which is the nearest to 2\/3?  (a) g  (b) 0.4  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(18\/(-4))*(-177)\/236.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -9*z - 4. Let l be p(-2). Let i be (-1593)\/(-63) + (-4)\/l. Solve -4*d = d - i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 755030724 divided by -18732.\nAnswer: -40307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -h*j**3 - 11*h*j**2 + 484*h*j + 29477*j**3 wrt h.\nAnswer: -j**3 - 11*j**2 + 484*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 205*p*u*y**3 - p*y**3 + 209*u*y**3 with respect to p.\nAnswer: 205*u*y**3 - y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zhnas. Give prob of picking 1 n, 1 h, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1425088430962 - -4\nAnswer: 1425088430966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(15\/4)\/(a**(-1\/11)\/a)*(a**(1\/8))**(-2\/13) assuming a is positive.\nAnswer: a**(1379\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 + (-5 - -29 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75795 is divided by 702.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21*f**3*j - 14*f**3 + f**2*j - f*j + 35*j wrt f?\nAnswer: -126*f*j - 84*f + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2810 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 9979264 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*b**3 + 138*b**3 - 259*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 5*r**2 - 2*r - 7. Let m be x(-5). Let j be m\/(-6)*12\/(-6). Suppose 4*t + 9 - j = 0. Let h(g) = -g**3 - g**2 + g - 2. What is h(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3439?\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*d - 68 - 70 + 2*d**2 - 40 + 175 - d**3 as g*d**3 + c + m*d + s*d**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and -19.8.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/138137 and 40\/11.\nAnswer: 1519507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z + 28053 + 17*z + 22*z - 28053.\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1\/4))**8\/(c\/(c\/(c\/(c*c**1))))**(12\/5))**(-15) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 105 divided by -85\nAnswer: -21\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/6 of a decade in months?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -19 and 107.4.\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -65*b**3\/6 - 28*b**2 + 6*b. Is y(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 29, -10, -3243?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 287653?\nAnswer: 179, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/6)\/((-316)\/(-790))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 127.168 + -127. Let m = -0.068 + l. Which is the closest to m?  (a) -3\/2  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-14)*(-484)\/1815*3\/4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 115, -81, -405, -857?\n\"Answer: -64*k**2 - 4*k + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -35 and -1202?\nAnswer: 42070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1586 divided by -2?\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0  (b) 257  (c) 1.3  (d) -4  (e) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0.49, 3, 1, -0.3?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13 - -3456?\nAnswer: 3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.63 + -6.53. What is the closest to 0 in -1\/3, -0.2, 14\/87, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 42 + -41. Suppose 3*w + 0 + z = q, 0 = -2*q + 2. Suppose 4*o + 15 - 75 = w. Solve 0 = -4*j + 2*l - 10, -3*j - 3*l = -8*j - o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Are 5722\/65509 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19137?\nAnswer: 3, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/6 + 568*(-2)\/(-12).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*-6644\nAnswer: 6644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -29260162*j**3 - 12079835*j**3 + 8*j**2 + 3*j - 10*j**2 - 2*j - 2. Let l be s(1). What is l rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 5 - k**3 - 44*k + 57*k + 13 - 11*k**2. Let b be q(-12). Suppose 3*n = b*n - 171. Calculate the remainder when n is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11059*i - 385519 - 842030 for i.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -609 + 559 = -10*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 905.328 nanometers in centimeters?\nAnswer: 0.0000905328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-6*(-442)\/1404)\/(10\/90)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 44.2369386 to 1 dp.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 PM and 11:39 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (2 + 9 + 2)) + -157 + 163.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8\/7, 0, -0.0472.\nAnswer: -8\/7, -0.0472, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 0 - 2) + 200 + -197?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of -n**4\/2 - n**3 - 47*n + 90. What is the derivative of w(l) wrt l?\nAnswer: -6*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -117 or -541534\/4619?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 587983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 115, -2\/5, 2, -2\/11, -6 in increasing order.\nAnswer: -6, -2\/5, -2\/11, 2, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1508 is divided by 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5756557*d*z - 8072375*z wrt d?\nAnswer: -5756557*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9 + -78?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 - -56. Calculate the highest common factor of 51 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.3, -9, -1 in increasing order.\nAnswer: -9, -1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - 11*i**2 + 60*i - 8. Let j be n(-15). Let o be ((-28)\/j - (-18)\/(-12)) + 4. Let w = 32 - 20. Calculate the greatest common divisor of w and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eb when two letters picked without replacement from ebbeeeeee?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4) - 280\/240?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00057523 to 6 decimal places.\nAnswer: -0.000575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 67463 + -67459. Let s = -5 + 4.6. Which is the closest to 1?  (a) -1  (b) s  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25704\/11 != -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 48148547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yxxv when four letters picked without replacement from {x: 5, o: 1, v: 2, y: 1}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 242*r**2 - 195*r**2 - 467*r**2.\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -5*a + 125 - 5, 4*a = w - 9. Let z(x) = -x**2 + 12*x + 11. What is the remainder when w is divided by z(12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/8 + (-609)\/132. Let l be (-21)\/(-9)*99\/(-77). Is o less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7131\/2 + 10937\/3. Let s = j - 80. Put 3, -5, s, -4 in decreasing order.\nAnswer: 3, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4845 and 38019.\nAnswer: 3231615","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w - 64 = -2*w. Let r = w - -83. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 19 - (3 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -76427510\/1449 + 52745. Calculate the common denominator of 39\/49 and n.\nAnswer: 10143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/3)\/(((g**(5\/9)\/g)\/g)\/g))**(-16) assuming g is positive.\nAnswer: g**(-400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34265559 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.443 rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*p + 201 = 1146 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13229481?\nAnswer: 3, 29, 152063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 21*a - 8. Suppose 4 = 6*g - 5*g - 5*m, 0 = g + 3*m - 12. Let p(w) = 5*w - 2. Calculate g*p(v) - 2*o(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3428.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 14342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -12, 0*w + 3*w = 2*p - 57. Calculate the highest common divisor of p and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -38 + 38. Let l(r) be the second derivative of r - 1\/48*r**4 + n*r**2 + 1\/24*r**3 + 0. Find o such that l(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -57*t + 1141. Let g be j(20). Do 2\/12637 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**7\/d)**30)**(-3\/4) assuming d is positive.\nAnswer: d**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -129 - 4\/3*x**3 + 0*x + 32*x**2. What is q in i(q) = 0?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11061 + -11057. Let r(c) = -24*c + 39. What is r(g)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-60)\/(-6)*(63\/6 - 9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 8*y. Suppose y = 3*k - k. Solve k*t + 4 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (0 - (-3 + -1 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9182.742ml?\nAnswer: 9.182742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4\/8 - 39*k**3\/8 + 41*k**2\/8 + 39*k\/8 - 5.\nAnswer: -(k - 1)**2*(k + 1)*(k + 40)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -c - 4*c. Suppose -f - c = -35. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -78, 2, 3, 0, 5, 6 in decreasing order.\nAnswer: 6, 5, 3, 2, 0, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 2*n - 9*y = -34*y - 69, -5*n = -2*n - 5*y - 33 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 470*a**3 + 0 + 0 - 240*a**3 - 233*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23 and 92023.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -9407, -18813, -28203, -37571, -46911?\n\"Answer: p**3 + 2*p**2 - 9419*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b (base 15) in base 3?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggxfgsxfg. Give prob of sequence fsfx.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2614219\/99 - -26406. Find the common denominator of x and -61\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 210, -5, 4, 0.2, 11, -3.42?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1410.6 + -1387.692. Let h = w - -0.092. Which is the smallest value?  (a) h  (b) 0.3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1635666*t**2 - 1635666*t**2 + 186*t**3 + 1722*t**3.\nAnswer: 1908*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 184491.\nAnswer: 3, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -603 (base 9) in base 10?\nAnswer: -489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 64757 + 700.58569\nAnswer: 65457.58569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**3 - 2*s**2 + 5*s + 3. Let n(t) = 5*t**3 - 4*t**2 + 11*t + 7. Suppose -4*p + 5*q = p - 5, 0 = 4*p - 2*q - 8. What is p*n(c) - 7*o(c)?\nAnswer: c**3 + 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 36, 79, 124, 171, 220?\n\"Answer: k**2 + 40*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -154 - -1384\/9. Which is the nearest to -0.1?  (a) u  (b) 1\/2  (c) 179  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7831\/10 - 782. Calculate the common denominator of 35\/11 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 + n**2 + 45. Suppose 5*z = -l + 20, 4*l - 3*z - z + 16 = 0. Let g be b(l). Suppose i - g = -7. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 + 26. Suppose -h*f + 35 = -245. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1449928 + -3?\nAnswer: 1449925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 2, y: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -511, -1016, -1521, -2026, -2531, -3036?\nAnswer: -3541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 15.0528*156\nAnswer: 2348.2368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10312714.91241 + 10313129.912410403. Let d = 415 - x. Round d to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1760*h + 1755*h = 2*n - 39, -609 = 8*n - 65*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**7\/n*n\/(n**(-5)\/n*n))**(-2\/53)\/(n**(-8)*n*n\/(n\/((n**8\/n)\/n)))**(-18) assuming n is positive.\nAnswer: n**(-978\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -30*a**3 - 2*a**2 + 1. Let p be i(-1). Let b = -40 + p. Let z = b - -14. Solve 0 = -z*v + 5*g - 21, 3*v - 2 = v - 2*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1859285117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 9 + 1. Let v = 2919 + -2839. What is the remainder when 96 is divided by (-3)\/k*v\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7\/189 - (-2)\/(-6). Let u = p + 256\/135. Suppose 4*m + 2*y - 8 = 0, -3*y + y = -m + 7. Is m >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -379863, -378076, -376289, -374502?\n\"Answer: 1787*h - 381650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.32 + -323.68. Let f = y - -328.99999872. Round f to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 0.1, -0.36, 253, 16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 g when four letters picked without replacement from {g: 4, d: 10}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 6:08 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7963849*r**3 - 7712363 wrt r.\nAnswer: -23891547*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/4 - 21*z\/2 + 441\/4.\nAnswer: (z - 21)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**2. Let h = 3 + -2. Suppose 3*a - h = 14. What is the remainder when a is divided by m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161401693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13711294?\nAnswer: 2, 6855647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l**3 + l**2 + 9*l. Let q be (24\/16)\/((-4)\/8). Let t be d(q). Which is greater: t or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 88 - 81. Is 9 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/((j\/(j**(1\/3)\/j*j))\/j)*(j\/(j**7*j))\/j)**(-42) assuming j is positive.\nAnswer: j**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -44.96548 rounded to 0 dps?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.5  (b) 3\/896  (c) 1\/3  (d) -1  (e) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 140777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100 = 566*c - 571*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - q + 0*q = -12, -28 = -2*o - 5*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/38766 and -16\/507.\nAnswer: 503958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 33*k**3. Let p be g(-1). Let j = p + 48. Suppose -5*v = -0*v. Solve 3*l - j = -v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11288 is divided by 620.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 416 at most as big as 20634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j + 9*j = -40. Let v be (-2)\/(1 - j\/12). What is the third derivative of 31*z**3 + 6*z**2 + 5*z**2 + v*z**2 - 21*z**2 wrt z?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -100 + 151. Let v = 55 - s. Solve v*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -417 - 424 - 433 + 1698 + 2*y**2 - 425. Let j(a) = a**3 + a - 2. Suppose -4*s = s. Let v be j(s). Determine u(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100121 (base 3) in base 14?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.2202, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2\/7 - 84918*u\/7 - 166542960\/7.\nAnswer: -3*(u + 2120)*(u + 26186)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 9875*o**2 - 79006*o + 35. Determine j(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4508?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 38706210 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1427 + 2*u - 1427.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - 18\/(-4))*6. Let d(a) = a**3 - 2*a**2 - 2*a - 2. Let m be d(i). What is the derivative of 0 - 3*q + m + 2 wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*y**4 - 51631776*y**3 + 3*y**2 - 387554906 with respect to y.\nAnswer: 8*y**3 - 154895328*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 2*u + 5. Solve -f - 10 = 2*s, 2*f - 9 = -s + u*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 59.508042 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1944 = -280*b + 37*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 244057185 and 646?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 33 + -8. Suppose 0 = 5*c + u, 3*t - 1455 = c + 410. Suppose z - t = -z. What is the remainder when z is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 - 228 + 287 - 6*s**2 + 2*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 - 8*x - 3. Let b be h(-8). Let u be 7*(2 + -6 + 3). Sort b, u, 4 in decreasing order.\nAnswer: 4, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w**2 + 1824. Is 32 a factor of s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 + 10. Suppose -3*j = 3*x - 69, -3*j = g*x + 3*x - 73. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 326 and 2?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5192*s**3*w**2 - 496*s**3 + 2*w**2 - 2*w wrt w?\nAnswer: -10384*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1363390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*r*w*z**3 + 2*r*w*z**2 - 2*r*w*z + 63*r*z**3 + w*z**3 + 1706*z**3 + 289766*z**2 wrt z?\nAnswer: 12*r*w + 378*r + 6*w + 10236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-22) + (-10)\/110 + 5. Solve -s*l + 16 = -9*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.82 + 3.87. Let m = -1 - -6. What is the third biggest value in 0.5, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 252.5 - 252. What is the third smallest value in -1\/4, -18, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -0.3  (b) -9\/10  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-5)*i**(-2\/5))\/((i**6\/i)\/(i**(-1\/8)*i*i))*(i**4\/i**(3\/8))**12 assuming i is positive.\nAnswer: i**(1399\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 + (-8 - (10 - 5) - -17).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 428361 is divided by 1530?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8626391, -17252785, -25879179?\nAnswer: -34505573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1320915 and 321.\nAnswer: 1320915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -34932.54 rounded to the nearest one hundred?\nAnswer: -34900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**3 + 547994*t**2 - 1095982*t + 547990 = 0 for t.\nAnswer: 1, 273995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 147 + -166.5. Let k = -20 - w. What is the closest to -7 in -1, 0.4, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 94082 - 0.2023778.\nAnswer: 94081.7976222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - 10*n + 8*n + 8, n - 7 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 657606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1700 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/6 - (-2)\/4)*3420\/4275?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/5*v**3 + 0 + 1\/5*v**5 + 0*v**2 - 3\/5*v**4 + 0*v = 0 for v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 724, 996, 1268, 1540, 1812, 2084?\n\"Answer: 272*f + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10.1 - -474.1. Let q = y - 178. Let o = -285.9999839 + q. What is o rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y. Let t(a) be the third derivative of a**4\/24 + 82*a**2. Let f(u) = -54*u. Suppose 5 + 3 = -4*w. Let s(l) = w*f(l) - 126*t(l). Determine d(s(v)).\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 584.176 + -584. Let f = -3919.82955 - -3920. Let n = i - f. Round n to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9691445.\nAnswer: 5, 17, 113, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26525994 is divided by 736833.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 7, y: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32080 (base 12) to base 9.\nAnswer: 110176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z. Let k(v) be the first derivative of 2588*v**3\/3 - 3943. Give p(k(i)).\nAnswer: -5176*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/8 + (-42)\/(-24). Solve 6*z = z + n*p - 11, 3*p + 3 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1140 = 5*r - 5270. What are the prime factors of r?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 14 = 4. Suppose 0*b + n - 4 = -3*b, -2*n = 2*b. Suppose -3*t = -4*d - 5*t + 40, b*t = -3*d + 30. What is the smallest common multiple of c and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 9 + 12 + 7*p + 25*p.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 - 3*b + 1. Let h be -2 + (-11)\/(-4) - 3879\/36. Let f = 261 + h. Let t = 157 - f. Calculate s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.015 + 244.4118759.\nAnswer: 244.4268759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.68752ng in grams?\nAnswer: 0.00000000168752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 AM and 4:30 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 444.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*o**3\/3 - 13300920*o**2 - 33171503561424*o - 199028542535712 = 0. Calculate o.\nAnswer: -4987842, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19177, 19595, 20017, 20443, 20873?\nAnswer: 21307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -87  (c) 0.2  (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -4*s - 6*s. Let t be ((-3)\/(-6))\/((-1)\/(-40)). What is the highest common factor of s and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddddd. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.2 + -0.2. Let a = 0.9 - d. Let g be ((-3)\/9)\/((-48)\/(-18) - -5 - 9). What is the nearest to g in -2, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9649 + 19980. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2. Let a(p) = 3*p**2 + 91*p - 8. Let h(s) = 13*s**2 + 367*s - 36. Let y(r) = -9*a(r) + 2*h(r). Calculate y(l(x)).\nAnswer: -x**4 - 85*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04909820913 to 3 decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (11\/12 - 1)\/(3744\/(-107904)). Let t = g - 23\/9. What is the biggest value in -0.5, -5, 2\/3, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**4\/3 + 44*q**3 - 4222*q**2\/3 - 2948*q - 4489\/3 = 0.\nAnswer: -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/42 and -73\/726.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 1  (c) 221735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 202424 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 764400 and 145600?\nAnswer: 3057600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - 0 - (-150)\/120. Let n = -16 + 17. Which is the closest to 1?  (a) 3\/4  (b) n  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35390005 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a second in milliseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 334574787?\nAnswer: 3, 43, 613, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-10)*-3*(-2)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 6*g + 143 - 177 = 0, -4*r + 2*g = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 4*p + 2 - 9, -4*p + 12 = 0. Suppose -5*q = -m*k + 15, 2*q + 9 = 16*k - 13*k. Factor 0 + q*t + 1\/5*t**4 + 1\/5*t**2 + 2\/5*t**3.\nAnswer: t**2*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of 3\/2*h**2 + 0 - 4\/3*h**3 + 1\/5*h**5 + 13*h + 5\/6*h**4. Let w(x) be the first derivative of m(x). Factor w(i).\nAnswer: 4*(i + 2)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, p: 2, n: 4}. What is prob of picking 2 n and 2 p?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -67 at most as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 + -2. Let m = u + -3. What is the first derivative of 4 + 6*w + 5*w**m - 6*w wrt w?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64811797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4062301.2 plus -63084?\nAnswer: 3999217.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.1179 - 1.1178994981. What is s rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/816 and -61\/1122?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 264 and 8052?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -774*b + 776*b - 892*b**3 + 2 + 894*b**3 + 35*b**2 - b**4 as m + f*b**2 + v*b**3 + c*b + r*b**4 and give f.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3738?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of 7*b**2 + 3*b - 551. Determine n(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -278.1 times -649?\nAnswer: 180486.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the first derivative of -3*n**4\/4 - 337*n**3\/3 - 445*n**2\/2 - 111*n - 1723. Factor j(d).\nAnswer: -(d + 1)*(d + 111)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6060820877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*o**2 - 416*o**2 - 29*o + 24*o.\nAnswer: -452*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 PM and 4:45 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*f**2 + 3*f**5 + 3*f**2 - 8*f**2 wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*f + 260*f + 523*f - 11*f - f**2.\nAnswer: -f**2 + 747*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 202684820 and 806?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*i - 86*i - 12 - 5*i**2 + 46*i as g*i + z + d*i**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10389 and 31523689.\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrrrdrrrrrrrrrdrr. Give prob of picking 2 d.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7006 - 6991. Let m(p) = -p**3 + 5*p**2 + 1. Let d be m(5). Suppose d = 2*k - 7. Calculate the remainder when v is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 3*s, -3*s + 1 = -2*b + 5. Let p be -1 - s - (-2 + 8). Let n = p + 3. What is n rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 - 3)\/(-12) - (-589)\/6. Suppose -6*f + 13*f = y. Let a be (7\/f - (-7)\/2) + 0. Solve a*g - 19 = -3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 6:55 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -196969.4 + 132939.\nAnswer: -64030.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + x = 181, 0 = -5*j - 2*x - 3*x + 165. What is the remainder when j is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 2650  (c) 0.3  (d) -3  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - p - 1. Let a be h(-1). Let x = -1800010 + 5983232401\/3324. Let m = x - -2\/831. Which is greater: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -123*p**2. Let x(z) = 211*z + 2. Give x(m(h)).\nAnswer: -25953*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 3*v + 2, v - 13 + 12 = 0. Let o(q) = q**3 - 3*q**2 - 12*q + 6. Calculate o(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13880769?\nAnswer: 3, 7, 94427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000101000011001101011 - 0?\nAnswer: -100000101000011001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -6. What is the nearest to 0 in -7, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21 - -43. Let l = p - 23. Are l and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 1 + 3 = 0. Let t = b + 2. Solve t = -g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 6284, 12579, 18874, 25169, 31464, 37759?\n\"Answer: 6295*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 7 = 2. Let q = -26 - -28. Let c be (r - -1)\/(-2) + q. Solve 4*p + 3*n = 1, p + n + c*n = 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 21, 7, 13, 1 in descending order.\nAnswer: 21, 13, 7, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2960634 is divided by 367?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/3 + 2299*w**2\/3 - 346513*w - 113236845.\nAnswer: -(w - 1257)**2*(w + 215)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/6 + -2)*(-48)\/42. Put -16, -3, j, -2 in ascending order.\nAnswer: -16, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 0. Is 12 a factor of 4\/4*a*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 - 4*y + 2204 - 1096 - 1103. Determine z(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 5:08 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*a = d + 448 - 412, 0 = -4*a - d + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -161, -689, -1567, -2795?\n\"Answer: -175*v**2 - 3*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 161.2683128 to one dp.\nAnswer: 161.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 5*o + 13 = 0, 25*l - 21*l = -2*o + 10. Calculate the greatest common divisor of 10 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 1226.\nAnswer: -5\/1226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(2299) + sqrt(2299)*1 + 5 - (4*(-1*sqrt(2299) + sqrt(2299)) + sqrt(2299)) - (-1 + sqrt(2299) + -1)*4))**2.\nAnswer: -858*sqrt(19) + 20860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 345 and 35?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -2*c + 4*b, -14 - 6 = -4*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -796715660476.9999999828 - -796715660223. Let y = 254 + t. Round y to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 53 + -61782?\nAnswer: -61729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 - -15. Calculate the remainder when d is divided by 17\/(-68) + (-539)\/(-28).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2998*y - 2838*y + 1280 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqzzqqzqzqqz?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 3*h - 27. Let k be t(-8). Let s be ((-10)\/(-4) + -1)\/(k\/(-136)). Suppose -2*c + 220 = s*j, -j = 3*j + 20. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -5*n**2. Let b(l) = -23*l**2. Determine t(b(h)).\nAnswer: -2645*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18697860085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*x + 2*x - 11*x in the form m + o*x and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -5*x**3 + 11*x**2 + 8*x - 2. Suppose -5*o = 2*k + 44, -o + 2*o = 4*k. Let q(g) = 3*g**3 - 7*g**2 - 5*g + 1. What is o*q(m) - 5*i(m)?\nAnswer: m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7\/14)\/(1\/30*3). Suppose i + s = 0, 4*h - 15*i = -17*i + 2. Factor 5\/2*p - 25\/4*p**2 - 5\/4*p**4 + 0 + 5*p**h.\nAnswer: -5*p*(p - 2)*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13 - 16. Which is the nearest to -1?  (a) 5  (b) o  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -8*v**3 - 4*v**2 - 2*v - 5. What is the tens digit of l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -282 divided by 1\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from mnnmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 1\/9, -5630, 1, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away 1.648602?\nAnswer: -1.548602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 84\/(-3960)*-11*20\/35 - 0.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 798.6743 centuries in millennia?\nAnswer: 79.86743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n - 1499 = -7*n. List the prime factors of n.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -5*b**4\/12 - 40*b**3\/3 + 85*b**2\/2 + 2*b + 17. What is q in r(q) = 0?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1425186 is divided by 3702?\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15*1 + (-364)\/16*(-6330)\/7385?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/4 + 323*w**2\/4.\nAnswer: -w**2*(w - 323)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 7*j**2 - j + 17. Suppose q + 8 + 5 = -4*r, 4*q - 4*r = 48. What is w(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**4\/q))\/q)\/(q*q**10) assuming q is positive.\nAnswer: q**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + 1192\/32 + -21?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1800\/16)\/(-15)*4\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 170 and 2312.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22967, -45812, -68659, -91508, -114359, -137212?\nAnswer: -160067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 35*j + 285. Let t be q(-8). Let z(x) be the third derivative of 0 + 0*x + 0*x**3 - 10*x**2 + 1\/30*x**t + 0*x**4. Let b(o) = -2*o**2. What is b(z(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1020 = 2*h + 3*h. Suppose 3*b - 140 = -4*c, 0*b + 4*b + c - h = 0. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 5 - 3 + (-2 + 0 + 4)*(-4 - 3 + 5) + 2 + 0 + 0)*(0 - 1 + 3)*(3 + 5*p - 3 + 2).\nAnswer: -80*p - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + 4\/(-12)*-9)*118. Let v = 143 + t. Solve 0 = 3*u + v - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 43ee + -19?\nAnswer: 43d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 55824305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -4849\/12 greater than -404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -263 + 291. What is the highest common factor of l and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/(-2))\/(2\/(-4))*-37. Solve -w = -m + 5*m + 5*n, -n + 1 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, u: 2, p: 4, s: 1}. What is prob of sequence ppu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 455178 and 4963.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 243\/8 + 3\/8*g**2 - 27\/4*g.\nAnswer: 3*(g - 9)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227739 is divided by 662.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i**2 + 4*i**2 - 11*i**2 - 10)*(-i**2 + 0*i**2 - 2*i**2).\nAnswer: 9*i**4 + 30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*c**2 + 4*c**2 - 8*c**3 + (-5*c**3 + 3*c**3 + 0*c**3)*(0 + 2 + 0) - 2*c**3 - 4*c**3 + 4*c**3 + 45*c**2 + 186*c**3 - 92*c**3 - 7*c + 8*c - 87*c**3.\nAnswer: -7*c**3 + 45*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -114, -135, -146, -147, -138, -119?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x + 129. Let n be m(6). Which is the smallest value?  (a) -0.3  (b) 2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 1\/(3 - 2\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -3*b**2\/2 - b + 3. Let j(x) be the first derivative of -x**2\/2 + 6. Let k = 181 - 187. Calculate k*j(a) + t(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64, -57, -38, -1, 60, 151?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - -1*3\/3. Let o be t - (5 + -2) - 2. Let l be o - (-4)\/(96\/63). Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 3*j - 2. Let g be c(4). Let z = -50 + 50. Suppose 8 = -4*x - 2*h - 3*h, z = -4*x + g*h + 20. Solve 0 = 2*q + 3 + x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 242*r - 1 + r**3 - 487*r - 4*r**2 + 244*r + 4*r**2. Let d(y) = 20*y**3 - 6*y - 6. Calculate -d(i) + 6*s(i).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 5 - 9)*(13*t - 13*t - 15*t**3 + (0*t - 3*t + 0*t)*(2*t - 2*t - 6*t**2)).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 2*k**2 + 5*k - 3. Let i be h(-4). Let o = i + -6. Suppose -4*g - 45 = -l - 4*l, -o*g = 3*l. Sort -4, 1, g.\nAnswer: g, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 2*a + 179 = -0*a, j - 2*a = -31. Let x = j + 52. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 13*q**3 + q**2 - q + 1. Let n be b(1). List the prime factors of (-21 + -1)*(-35)\/n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 347864123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.14 - 0.14. Let i = j - 0.22. Which is the closest to 1\/3?  (a) -2\/9  (b) -3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*r**3 + 30*r**3 + 209*r**4 - 152 - 18*r**3 with respect to r.\nAnswer: 836*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 220 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 458 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 44 + -27 + 0 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3693 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9163066 a multiple of 1823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -133, -133, -135, -139, -145, -153, -163?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 7) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 (base 6) in base 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -288, -240, -192?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/23  (b) 8\/13  (c) -0.5  (d) 3  (e) -15\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -11102303?\nAnswer: -11102233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -712a - -4?\nAnswer: -7126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -4, -20, -54, -112, -200?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + 4\/(72\/38819). Let t = n + -2158. Find the common denominator of 83\/4 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1300 + 0?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 69905.29ug?\nAnswer: 0.00006990529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of -s**6\/120 - 11*s**5\/60 + 11*s**4\/24 - s**3\/3 - 4*s**2. Let i = 13 - 25. What is the units digit of r(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from ttgttttetttttt.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o + 3. Let n be k(3). Let x = 0.1 - 11.1. Which is the biggest value?  (a) x  (b) n  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2958655 decades in years?\nAnswer: 2.958655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -2*l**5 - 24744*l**4 - 76508444*l**3 + 153091128*l**2 - 76557938*l = 0.\nAnswer: -6187, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2051 * 0.13.\nAnswer: -266.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(3) + -3) - -4*(sqrt(3) + 5).\nAnswer: 5 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2256.99371 - 2257. Round y to 4 dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4732 + 4731.7. Which is the nearest to 1?  (a) l  (b) 5\/2  (c) -5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 100 and -5 - (-90 + (-6 - -12) - 1).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3646 and 5469?\nAnswer: 10938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (4 - 24)*-2*(-2)\/(-4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 12:16 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 4196983165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 8:20 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 + 39*o**2 - 46*o + 394. Calculate the remainder when 3958 is divided by t(38).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w. Let c(z) = 71*z + 25*z - 28*z. Calculate x(c(j)).\nAnswer: -68*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18758 rounded to three dps?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x - 220 = -5*x. Calculate the common denominator of 47\/5 and (50\/x)\/5 + 2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16768554*o**2 + 22950719*o wrt o.\nAnswer: -33537108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(19)*2 + 0)**2*-1 + -3*(sqrt(190)\/((sqrt(120) - sqrt(120)*2)\/sqrt(12) - sqrt(10) - sqrt(10)))**2.\nAnswer: -322\/3 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (2\/48)\/((-292)\/(-7008))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 - 1)*(6*b**3 - 6*b**3 - 12*b**3) + (-2*b + 4 - 4)*(-2*b**2 - 2*b**2 - 2*b**2).\nAnswer: 48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvelvavvveev. Give prob of sequence ve.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 10. Let k = i + -1. Which is the nearest to k?  (a) 1\/3  (b) -0.4  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4 - 1 + 2*q**2 + 5. Let n(u) be the third derivative of -u**4\/24 + 38*u**2. Determine c(n(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + 24 + -20 + 9 + -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 6:41 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3837 and 730309.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 9, y: 8, a: 2}. What is prob of picking 1 a and 1 l?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45 - 30. Suppose 5*j = 8*j - q. Calculate the remainder when 11 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - 0)\/(-3 + 2). Suppose w - 1 = -u - 3, -4*w + 3*u - 1 = y. Let r(h) be the first derivative of -5*h**4\/4 - h**3\/3 - h**2\/2 + 1. Determine r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iniaainiiaannin. Give prob of picking 2 n, 1 a, and 1 i.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1888 = 3*l - 5*b, -7*b = 3*l - 10*b - 1890. Which is greater: l or 633?\nAnswer: 633","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17 + -7. Suppose 3*k - a = 2*o - k, -45 = -4*o - 5*k. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 2*l)*(78*l**3 - 19*l**3 - 679*l**3)*(-2 + 5 - 2) as h*l + y*l**2 + v*l**3 + c*l**4 + j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -35 + 51. Suppose -5*u + 0*s + 175 = 4*s, 4*u - 166 = 2*s. Suppose 5*v - 22 = -4*h + 7, 3*h + u = 3*v. Calculate the remainder when c is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 88 + -33. Let f = -14 + h. Let l = f - 27. Calculate the remainder when 41 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -0.3758.\nAnswer: -4.3758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -23\/5, -346.4 in ascending order.\nAnswer: -346.4, -23\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + 1. Let l(n) = -n**2 - 3*n + 13. Let d be l(-5). Solve d*s = u + 2, -s - 3*u - v = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7131*o + 10001*o - 137760 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-30)*-3*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8793 * -66\nAnswer: -580338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1246, 1300, 1330, 1324, 1270, 1156, 970, 700?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -21758486 (base 9) to base 5\nAnswer: -10200043021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 10\/9  (b) 0.3  (c) -0.3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 47*i**3 + 6*i**2 - 4*i - 55. Calculate the remainder when o(4) is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 + 24. Suppose -6*o + 1480 = -x*o. What is o rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11121202 - 2002?\nAnswer: 11112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/sqrt(4) + -2 + (sqrt(252)\/sqrt(4) + -5)**2 + (sqrt(63) - (1*sqrt(3087))**2) + (sqrt(567)\/sqrt(36) - sqrt(63)))*1.\nAnswer: -3001 - 51*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*j + 307*j + 3308 = -57*j + 45968 for j.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 11. Let k(o) = -o**2. Determine k(q(a)).\nAnswer: -a**2 + 22*a - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 20*r**2 - 4945*r + 1. Let u(d) = 2*d**2. What is z(u(f))?\nAnswer: 80*f**4 - 9890*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 - 20. Suppose 3*v = -g*v + 288. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 1716?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 529 - 533. Put h, -1\/9, -1\/3 in ascending order.\nAnswer: h, -1\/3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8431 - -345707\/41. Let h be 9\/((-2)\/8 - (-465)\/(-436)). Let f = w - h. Calculate the common denominator of f and -99\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*525\/(-135)*(-936)\/168?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5732296 plus 2?\nAnswer: -5732294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 198\/51 - 3 - (101 + -100)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, g: 5, v: 3}. What is prob of sequence gvvv?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -4*q + q + 27, 2*j - 2 = -2*q. Let v = q - -117. Calculate the highest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (10 - 12) - -20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.62 + -0.02. Let i = -1.1 + x. Let n be (-1)\/(-1)*(-2 + 3). Which is the nearest to 0.1?  (a) 3  (b) i  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -93489, -93435, -93381, -93327, -93273?\nAnswer: -93219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153 = -38*s + 191*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -6*(sqrt(4)\/sqrt(2) + 2)**2.\nAnswer: -36 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9058124*m**3*s**3*t**3 - m**3*s**2*t**3 + m**3*s*t**3 - 97*m**3*s*t - 285*m**3*s - s**2*t**3 wrt s?\nAnswer: 54348744*m**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 9:06 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddddddaddddd. What is prob of sequence dad?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(1\/4)\/f**(-1\/4)*f**(-1\/6)*f**(2\/5)\/f assuming f is positive.\nAnswer: f**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 343 and 298802?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -591*p = -630*p + 3900. Let c(h) = -h**3 + 3*h**2 + 2*h - 2. Let q be c(3). What is the greatest common divisor of q and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 2*r, -2*r - 392*y + 25 = -389*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 7, v: 10, h: 1}. What is prob of sequence vhm?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.7563022 grams?\nAnswer: 0.0007563022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 751 = 4*u + 59. Suppose 5*l = -g + 301, 2*g + 3*l - 408 = u. Let f = -187 + g. Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -104 - -124. Let m = 16 - k. Let a(u) = -u**2 - 3*u - 1. Give a(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -73*b**3 - 1. Let o be i(-2). Let f = o - 110. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 16*j**2 - 26*j + 18. Let u(z) = 5*z**2 - 9*z + 6. Let t(b) = 6*d(b) - 21*u(b). Factor t(h).\nAnswer: -3*(h - 3)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33021 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) + sqrt(343)*-3 + -1)**2.\nAnswer: 28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/(-4)*(-128440)\/13585.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3489 rounded to 2 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 8. Let x(q) = 3*q**2 + 25. Let j = -8245 + 8249. Give j*x(z) + 14*p(z).\nAnswer: -2*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 3.4. Let m = -1.7791 - -1.5791. What is the third smallest value in w, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -112489 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2815454518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, s: 2, l: 1}. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 216067351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.35 in 1, 0, 0.3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of 307*q**6\/120 + q**5\/60 - q**4\/8 + q**3\/3 - q**2. Suppose 5*u + 2 = -3*p, p + 242 = 5*u + 248. Is h(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dcl when three letters picked without replacement from {c: 6, l: 2, j: 3, d: 6, i: 2}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15155\/10576 + -3\/661. Find the common denominator of -5\/8 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + sqrt(4)\/(sqrt(10)\/sqrt(5)) + ((5 + sqrt(200) + sqrt(200)*-3)**2 - sqrt(200))).\nAnswer: -627*sqrt(2) + 2478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 5, -36, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*k + 0*k - 46*k**3 - 2*k + 2*k**3 + 2*k**4 - 141*k**3 + 2 wrt k?\nAnswer: 24*k**2 - 1110*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, v: 5}. Give prob of picking 3 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (32\/48)\/(-2*(-2)\/2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n - n + 243713*n**2 + 7*n.\nAnswer: 243713*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 160 and 180.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 3 = 4*o, -3 = -7*t + 1209*o - 1207*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/(-4))\/(5\/4). Let n(d) = -d**3 + 3*d**2 + 3*d + 6. Let u = 16 - 12. Let b be n(u). Sort 5, b, o in descending order.\nAnswer: 5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 6) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -6. Let w = o - 13. Let q = 56\/3 + -121\/6. Put 3, q, w in decreasing order.\nAnswer: 3, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18133 is divided by 305?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1156610 and 8905?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 8 = -3*s. Let j(b) = -8*b + b - 3 + s*b. Let v be j(-6). Calculate the highest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3063253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -464 divided by 3385?\nAnswer: -464\/3385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5289 + 5326. Suppose 5*m - 1108 + 13 = 0. What is the remainder when m is divided by t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -0.05, 1\/2 in decreasing order.\nAnswer: 4, 1, 1\/2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of 2 + 2*g + 0*g**2 + 1\/6*g**3. Let o(f) = -f - 7*f + 0*f. Calculate o(p(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1221 + 12?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -665*t**2 + 7*t**3 - 376 - 659*t**2 + 1326*t**2.\nAnswer: 7*t**3 + 2*t**2 - 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66739 is divided by 534.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 3*b**2. Let g(l) be the second derivative of -484*l**3\/3 + 17*l + 83. Calculate r(g(x)).\nAnswer: 2811072*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 268800 and 550200.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-66)\/4*6\/(-9) is divided by (-22)\/(-6) + 2\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 270*m**3 - 749*m**3 - 190*m**3.\nAnswer: -1209*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + -1*sqrt(76))*-4 + sqrt(76)*1*6)\/(sqrt(44)\/(sqrt(891)*-2)*-5).\nAnswer: 108*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3379 in -0.4, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1778.503 from -133420209.\nAnswer: -133418430.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2254560 divided by -17080?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -5. Let p = r + -1. Suppose 20 = 2*q - 0. What is the highest common factor of p and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 + (4 - (1 - 0)). Let p = -7 + m. Let c(u) = -p + 3 + 2 + 2 + u. What is c(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7.2 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*o + 0*o - o)*(15 - 3 + 53)*(-3*o + o + 3*o) to the form h*o**2 + m*o + n and give h.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {x: 2, z: 2, h: 1, w: 1, c: 1, s: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/11 + 2202*d**2\/11 + 604998*d\/11 - 607202\/11.\nAnswer: 2*(d - 1)*(d + 551)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -t + 147. Calculate the greatest common divisor of 28 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/3  (b) -65  (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w**2 + 6*w. Let z be l(2). Let 9*k**2 + 9*k**2 + 2*k**3 - z*k**2 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of -k**4\/24 + 5*k**3\/6 - k**2\/2 + 6. Let i(n) be the second derivative of f(n). Differentiate i(q) with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/1315204 and 61\/10162940.\nAnswer: 111792340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33446, -33448, -33448, -33446, -33442, -33436, -33428?\nAnswer: -33418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 - 203*j + 614. Give o(-206).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1476 and 0.1.\nAnswer: -147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w\/w**(-2\/17)*w))**(-27)\/(w**(-5)\/w**(-14)) assuming w is positive.\nAnswer: w**(819\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/6713 and -55\/48909.\nAnswer: 342363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 + 9*k**2 + 12*k - 9. Let a be g(-7). Suppose 0*t = 4*f + a*t - 35, 4*f - t = 17. Solve f*d + 0*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 186 + -187. Let n be (y + 0)\/((-57)\/285). Let s = -2 - -4. What is the closest to n in 1\/4, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h - 8. Let c(z) = 8*z - 22. Let d(l) = 4*c(l) - 11*u(l). Let y(n) = -47*n. Give y(d(w)).\nAnswer: 47*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 21 in 10, -0.02175, -2\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/600 and 19\/1447480.\nAnswer: 21712200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 12:01 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49957 is divided by 376?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -2. Let i(n) be the second derivative of n**5\/20 + 2*n**4\/3 + 7*n**2\/2 + 3*n. Is i(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3*i**2 - 48*i - 16. Let r(d) = -d**2 + 21*d + 7. Let o(w) = -5*r(w) - 2*y(w). What is o(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (1 - (1 + (-3 - -3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -15734*q**2 + 5*q**3 - 4*q**3 + 15*q + 14 + 16 + 15718*q**2. Calculate u(15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 676623845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21.1 - 20.03. Let h = 0.07 - z. Put 1\/2, h, -0.5 in ascending order.\nAnswer: h, -0.5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(112) + 1)*2 + 4*-6*(3 + (sqrt(700) + 1 - sqrt(700))))**2.\nAnswer: -2944*sqrt(7) + 10256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, k: 1, m: 2}. What is prob of picking 1 g and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - 0.3. Let p = -12 - -6. Let w(x) = x + 6. Let j be w(p). Which is the third biggest value?  (a) 2  (b) y  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2*(-1)\/(-2))\/((-76)\/304))\/(-46).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -97 - -2033. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, 5, -1\/639, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4249983 (base 11) in base 12?\nAnswer: -26088b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 12:39 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -25  (b) -33  (c) -3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = o - 11 + 3, 0 = -o - 4*d. Let v be (18 + -8)*(-2)\/5. Sort o, -5, v.\nAnswer: -5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h - 1. Let q(j) = -8*j - 3. Let n be (-68)\/(-306) - 7\/(-9). Give n*q(g) - 3*c(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 - 16*s**2 - 216*s + 27. What is the units digit of u(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 4*r + 4. Let o(u) = -u**3 - 9*u**2 - 16*u + 11. Let z be o(-6). Let m be y(z). Solve 20 = -m*j + 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(304)*4 + 0 - ((sqrt(95) + (sqrt(95) - -2*sqrt(95) - sqrt(95)))*3)\/sqrt(5).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fififvfvf. Give prob of picking 1 v and 3 f.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 0.037?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of b**8\/840 - 2*b**7\/525 + b**2\/2 - 3*b. Let q(i) be the first derivative of u(i). Factor q(l).\nAnswer: 2*l**4*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4048*b**4 + 4683*b**2?\nAnswer: -97152*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1012010211221 (base 3) in base 7?\nAnswer: -5243332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40896 - 135791 = -1730*r + 9919 + 76836 for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1210 a factor of 572239624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*f = -89*f - 284 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -3*z - 1. Let x(w) = -w**2 - 63*w + 566. Let b(t) = -3*r(t) + x(t). Let o be b(9). Factor -f + 1\/2 + 1\/2*f**o.\nAnswer: (f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*y = -1848 + 1164. Solve 0 = y*n - 48 - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*f + 21*f = -60. Suppose -5*g + 40 = f. Factor -t**g + 100 - 51 - 52 - 4*t.\nAnswer: -(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 542 - 341. Is g a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 86.21213l?\nAnswer: 86212.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 3*z + 3, -2*z + 3*z + 1 = 5*q. Suppose -2*c + q*c = 0. Suppose 0 = -c*h + h - 3. Calculate the greatest common factor of 24 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0  (b) 0.3  (c) 4\/5  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) -5  (c) 3\/2  (d) 0.11  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1534c + 3?\nAnswer: -15349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 178.5002 to one dp.\nAnswer: 178.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 624573.1*-1\nAnswer: -624573.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of -2 + 1\/2*i**4 + 0*i**2 + 0*i + 2\/5*i**5 - 2\/3*i**3 - 1\/3*i**6. Factor o(q).\nAnswer: -2*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, u: 16}. What is prob of sequence wuw?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, e: 2, i: 12}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 820 + 5327 = 1439*u - 2487 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**3 - 13880*x**2 + 758862*x - 10410120 = 0. What is x?\nAnswer: 27, 28, 6885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2061417006 a multiple of 5885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + 14*v + 1080. Let f = -120 - v. Solve f*x - 10 = 10*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 - s - 7277. Let n be ((3 - 5) + 2)*-1. Let l be t(n). Let v = l + 10294. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 6*f - 33. Let k be s(7). Suppose 11 - 3 = r - 4*b, 3*b - k = 0. Solve 4*a = r, -4*l + 7*l - 2*a = -22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-40)\/70*(-14)\/(-18). Let f = -801 - -800.9. Does f = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, n: 1, j: 2, u: 3, b: 5}. What is prob of picking 2 j?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2 = 0, j - 2*j + 5*o + 96 = 0. Let y = 99 - j. Let k = 18 + y. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4002153941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1951\/(2*5\/30). Let v = 1281805\/219 - k. Suppose -2*g - 1 = l, -g = -5*g + 3*l + 13. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/9 - 9376*b\/9 + 188320\/9.\nAnswer: -2*(b - 20)*(b + 4708)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 10:16 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (((-78)\/(-12))\/13)\/((-143)\/(-3432))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 341 + 474. Let k = h + -10593\/13. What is the fourth biggest value in -0.1, k, 0.3, 2\/23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 597*j - 4 - 296*j + 2*j**4 - j**4 - 2*j**4 - 302*j + 12*j**2 to the form i*j**3 + v*j + r*j**4 + n*j**2 + q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-4) - (-105)\/28. Let n be 84\/385 + 4\/(-10). Let l(d) = -d**3 + 5*d**2 + 14*d + 3. Let u be l(7). What is the nearest to -2\/11 in n, w, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tnununuuntuut. Give prob of picking 3 u.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -346c4 (base 14) to base 12.\nAnswer: -619b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 634665984.\nAnswer: 2, 3, 206597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (-19 - -30 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 790509 = -14*g + 87*g - 207182. Calculate the greatest common divisor of 79 and g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 + 22. Suppose -z*k + 5*c + 154 = 0, 68 = 2*k - 0*c + 2*c. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -142 + 118. Let x be (n\/(-10))\/((-41)\/(-40) - 1). What is the greatest common divisor of 144 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 2:25 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1324, 2612, 3900?\nAnswer: 5188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 100 and 1640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 13 = -c, 0 = -5*g - 3*c - 2*c - 35 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + n = -2, -4*o - 98 + 98 = 3*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.805254 and -0.2.\nAnswer: 0.605254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 165783 and 210.\nAnswer: 11604810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -dd - 23?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 203313311 - 11?\nAnswer: 203313300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(242) - sqrt(242)*-2) + sqrt(242) + 0 + sqrt(242)*2)**2 - (-3 + 2 + 1*sqrt(242)).\nAnswer: -407*sqrt(2) + 8722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -645200?  (a) 3  (b) -3\/7  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -481 + 728. Suppose 6*k = 11 + l. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 2*d + 5000 = -8*k, 3*k - 7540 = -5*d. Let i = k + -1442. What are the prime factors of i?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 650893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -1d9038?\nAnswer: -1d903c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 3*w + 10, -5*o + 510 - 555 = -4*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -6. Let b(c) = -c**3 - c + 3. Let z be b(m). Let t(w) = -2*w - 2. Let g(f) = -2*f - 2. Determine z*t(a) - 4*g(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 426 and 1108518.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2310 + 0.008?\nAnswer: 2310.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -612*s**2 - 98*s**2 - 1 + 100*s**2.\nAnswer: -610*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.18018 + -0.55049. What is b rounded to 2 decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/2?  (a) 5  (b) 0.4  (c) 3  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*g + 58 = -34 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*l + 7*l - 16*l + 0*l + 4*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1390*o + 1398*o + 2*r = 2790*o - 16, 4*r + 50 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*l - 77*l = 79*l + 210 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 0 + 3. Suppose 5 + o = h. Calculate the remainder when h is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.09 - 0.0899636. What is h rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 865166?\nAnswer: 2, 101, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7896289*v**3 - 3498076*v**2 wrt v?\nAnswer: -47377734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3308)\/2)\/(5 - 9)*40. Suppose -5*v + 10*v = a. Let f(s) = 3308 - 3*s - v. Let b(o) = 3*o**2. Give b(f(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**2 + j**2 - 2*j**4 + (12*j**3 - j**3 - 4*j**3)*(-2*j + j + 2*j) + 98*j**4 + 1507*j - 1507*j.\nAnswer: 103*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11631602 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 529675 divided by -105935\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/7, -2, 1\/5, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 19 = -2*l - 11, -1 = p. Let n be (-76)\/(-28) - 4\/l. Factor 37 - 37 + 3*w**n + 0*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**3\/5 - 528*l**2\/5 - 1068*l\/5 - 536\/5.\nAnswer: 4*(l - 134)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2728.7 - -2587. Is 0.2 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-32)\/(-12) - (12\/(-6) - (1 + -4)). Sort -36, -0.2, -1\/4, 2\/3, d.\nAnswer: -36, -1\/4, -0.2, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from huduunuduzd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-70)\/105)\/((-2)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15448*c**2 - 15722*c**2 + 1996 - 1996.\nAnswer: -274*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43 - 41. Solve 5*d - 3*d = -k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 243 = -69. Suppose -124 = -4*z + r. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -23*w**2. Let o(j) be the first derivative of 1\/3*j**3 + 156 + 0*j**2 + 0*j. What is r(o(x))?\nAnswer: -23*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -3*a**3 + 7*a**2 - 19*a - 5. Let d(v) = 5*v**3 - 11*v**2 + 29*v + 8. Give 5*d(y) + 8*h(y).\nAnswer: y**3 + y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 49944525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -27. Let i = 14 + o. Let b = -41\/858 + -1\/286. What is the third smallest value in i, -3\/4, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 282403\/15 + -18817. Let l = 26\/3 - p. Let n = -25.1 - -26.1. What is the closest to n in 1\/3, 1\/2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**2 - 3*h**2 + 0*h**2)*(2048 - 1433 - 2425)*(-4*h**2 + 0*h**2 + 2*h**2).\nAnswer: -10860*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/(-20) - (-512)\/5. Let z = h + -20. What is z rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(2\/7))\/((u**(-1\/3)*u)\/u)*(u**(-1))**(3\/8) assuming u is positive.\nAnswer: u**(113\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/(-2)*108\/(-9). Solve 26*z + 32 = u*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -w**4\/12 - 9*w**2\/2 + 6. Let g(c) be the second derivative of l(c). Calculate g(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.1  (b) -3  (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 6 = -5*x - a, -2*a = -4*x. Suppose -3*n + 28 - 13 = 0. Suppose 2*i - 5*h = 96, -i = -n*i - x*h + 144. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 - ((-2)\/(-6) + -3))*-4. What is r in 4\/3*r**2 - l*r**3 + 2\/3*r - 2\/3*r**4 - 2\/3 + 2\/3*r**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -12 + 28 - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -76, -40, 108, 434, 1004, 1884?\nAnswer: 3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, s: 1, g: 1, v: 2}. What is prob of sequence gvi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 14 = 4*y - 3*p, 5 = -5*y + 5*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 3495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 53 = 3*j + j, -4*f = j - 30518 + 30614 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 - 5*t**2 - 7*t - 9. Let v be g(-4). What is the greatest common factor of 9 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.782817 to three dps.\nAnswer: 0.783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 81*h**4\/5 - 1908*h**3\/5 + 4227*h**2\/5 + 2556*h\/5 - 756\/5 = 0.\nAnswer: -2\/3, 2\/9, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 1 = 9. Suppose -2*c = -0 - s. What are the prime factors of c*-3 - (-20 - -2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1284300 and 10050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 5*w**2 - 32*w + 17. Let n be r(6). Suppose 0 = -13*j - 109 + n. Let o(x) = -x - 17. What is o(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12.341786 - -12.338. Round c to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 2*l = -i - 27, -2*l = -i - 12. Let q be (-5 - -2) + l - 4. Let s(c) = -10*c + 1. Is s(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 1. Let z(l) = 3*l**3 + l + 2*l + 2 - 2*l**3 - 4 + 5*l**2. Calculate the remainder when z(-3) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 34, -8, 2, 24 in ascending order.\nAnswer: -8, 0, 2, 24, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -27978*v**3 + 2*v**2 + 28*v + 85?\nAnswer: -167868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 16, -2, 2\/7 in increasing order.\nAnswer: -7, -2, 2\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -6761615 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 13095360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/sqrt(5)*-1 + 0.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 397427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 161, 425, 471, -25, -1387, -3939?\n\"Answer: -54*x**3 + 215*x**2 - 3*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -916 divided by -45?\nAnswer: 916\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**0*k)**(-43)*((k\/k**(-11))\/k)\/(k*k**(-9)) assuming k is positive.\nAnswer: k**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -413*u - 130 = -426*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of -z**4\/12 + 57*z**2\/2 - 42*z. Let d(w) be the first derivative of l(w). Let f(i) = 3*i. Give d(f(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5*f = -41, 3*d + 2*f = -2*d + 136. What is the highest common factor of 182 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, i: 2, r: 1, y: 1, p: 2}. What is prob of picking 1 y and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1796*a**4 + 3*a**2*k**2 + 312*k**2 + k + 3 wrt a.\nAnswer: 7184*a**3 + 6*a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 8:28 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/8, 5, -2\/11, 77?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 0.32  (c) 0.01  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 111*h**2 - 458*h - 29. Give z(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 1\/3*b**3 + 0 - 2*b + 0*b**2. Let r(o) = o**2. Give i(r(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o + 4. Let w be p(-5). Let d be -4 - -1*(3 - w). Solve -n = -3*c - d*c - 7, -2*n + 4*c + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 18*k**2 - 38*k - 39. Let u be a(20). Sort -3, 60, u, 4 in ascending order.\nAnswer: -3, u, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 + 1. Let q(g) = 6*g**2 + 9. Let l(f) = 9*m(f) - q(f). Let y(i) = -3*i + 6. Let t(h) = -1. Let n(p) = 6*t(p) + y(p). Calculate n(l(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/3  (b) -18  (c) -0.1  (d) 8  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -88 divided by -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 160099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (60\/(-1100))\/((-4)\/20)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*u**3 + 112*u**2 - 52*u - 40.\nAnswer: -4*(u - 5)*(u - 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-11))\/((-452)\/44 - -10). Let p = 7\/3 - 37\/12. What is the closest to q in 4, 14, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*v + 159 + 48 + 5*v**2 - 3*v**2 + 110.\nAnswer: 2*v**2 - 14*v + 317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*x + 12980 = 380*x - 191*x. Calculate the least common multiple of 48 and x.\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 PM and 3:44 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 243 + 35 - 282 - 1001*f to the form o + w*f and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -120133 - -10?\nAnswer: -120123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (4 - -11) + -22 + (7 - -11) - -75.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 124 - 119. Suppose f*o + 0*o = 140. Calculate the smallest common multiple of o and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 31773.9823 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - p = 4*h - 128, -3*h = 5*p - 370. What is the greatest common divisor of 7965 and h?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 p, 1 z, and 1 d when four letters picked without replacement from {d: 5, u: 1, j: 2, p: 4, m: 1, z: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 79 + -89e39?\nAnswer: -89dc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -247064 and -265?\nAnswer: 65471960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 95830 and 17834?\nAnswer: 23095030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12286209311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13632886, -27265766, -40898646?\nAnswer: -54531526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 438*q - 435*q = -5*v - 2092, 417 = -v - 2*q. Let f(t) = 67*t**3 + 5*t**2 + t - 3. Let g be f(-3). Let d = v - g. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - 1067616675?\nAnswer: -1067616702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 276782 and 138391.\nAnswer: 276782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -362 divided by 6.\nAnswer: -181\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -5*x - 28*s + 33*s, 4 = -4*x + 2*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 62777644 != 62777643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 3*p**2 - 39*p - 2. Determine d(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-21)*-2 + 63 + -7377*51\/3213.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 31983576 divided by -15991788\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 50 = 12*q - 16*q, 0 = -4*n + 2*q - 70 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + (18 - (-51 + 80)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 20\/(-9 + 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 0 + (5 + 0 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 8:17 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18631100*a**2 + 74524399*a + 4.\nAnswer: -(a - 4)*(18631100*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 272?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.1 - 0.7. What is the smallest value in j, -1, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*r = -37*r - 4*r + 274189. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25728?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -1. What is the second derivative of 6*u - 3*u - 2*u + u**3 + 2*u**k wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24011\/9 + 2665. Let u = 1071\/148 - -1\/74. Calculate the common denominator of u and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164 = -3*x + 161, -3*l - x = -5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 2 + -27 - (-14 + 7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -307694?\nAnswer: 2\/153847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5928 divided by 988\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = 2*r - 3*g - 0*g + g, -3*g + 7*g + 7*g - 154 = 4*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 3*y - 3, 0 = -o - 0*o - 2*y + 2. Suppose 3*f + o*f = 12. Suppose -a = 2 - f. Solve 3 = -m + a*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4306.3 * 799.\nAnswer: 3440733.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2054 + -1391. Calculate the greatest common divisor of 51 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 6:40 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 245576?  (a) -0.4  (b) 0.5  (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 - o + 2. Let p be l(2). Is p\/10 - 148\/(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -294*m**5\/11 + 154357*m**4\/11 - 16773356*m**3\/11 - 915649943*m**2\/11 - 10262259840*m\/11 + 1735888896\/11 = 0. What is m?\nAnswer: -21, 1\/6, 1984\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -8*1 + 4 - 1. Let r be p\/(-2)*(6 - -4). Suppose 5*y - r = -15. Solve 0*j - 3*j + 9 = 4*h, 9 = 3*j - y*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77, 168, 259, 350, 441, 532?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -5*r + 48 + 262, -121 = -2*s - 3*r. Let y = -1615 + 1640. Suppose -15*h + y + s = 0. Let f(x) = -x**2 + 6*x + 1. Calculate f(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from hhhzhhzzhhhh?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 78447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -144 - -144. Suppose 0 = -2*b - p + 238, -p + 0*p - 4 = y. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ojoooooklooplokopoo. What is prob of picking 1 p and 1 o?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6393.\nAnswer: 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - 1. Let i(b) = -b + 2. Let g be i(a). Calculate the greatest common divisor of 9 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 divided by -80?\nAnswer: -63\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 4.201208nm?\nAnswer: 0.004201208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -528*l - 283*l + 1730*l + 1762*l.\nAnswer: 2681*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 36667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b - 103*b + 285 = 0. Let x(a) = a - 5. Let c be x(5). Solve 3 = b*d - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2844871 millimeters in centimeters?\nAnswer: 0.02844871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 291, 12, 7, 34, 2.\nAnswer: 2, 7, 12, 34, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(-18\/7))*g)**(7\/2) assuming g is positive.\nAnswer: g**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(-3\/5)*r))\/((r\/(r*r*r**(-25)\/r*r))\/r)*(r\/((r**(-24\/5)*r)\/r))**(-2\/7) assuming r is positive.\nAnswer: r**(-842\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 198*h**2 + 49*h + 40. What are the prime factors of n(-12)?\nAnswer: 2, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 178.6*-110.\nAnswer: -19646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of 3*d**5\/10 - d**2. Let n(m) = -1. Let t(s) be the first derivative of -s**3\/3 + s - 25. Let y(c) = n(c) + t(c). Give h(y(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 91971 by -2.\nAnswer: -91971\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11409 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.767, 1, -3.\nAnswer: -3, -0.767, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -47 - -47. Which is the nearest to o?  (a) -8  (b) 0.2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10127 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/714825 and -10\/3177.\nAnswer: 714825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -54 - 532?\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 46*m**3 - 3*m**2 - 2*m - 4. Let g be w(3). Suppose -c - g = z, -3*z + 3*c = -0*c + 3585. Round z to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yymmymmmmmmmmyymmm. What is prob of picking 3 m and 1 y?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**5 - 3*l**5 - 9*l**5 + (l - 2*l**4 - l)*(-1 + 1 + 2*l).\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + 2*k**2 + k)*(4 - 54 - 69)*(-2*k + k + 4*k).\nAnswer: -714*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 2.391236 hours?\nAnswer: 8608449600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2373 and -3240.11.\nAnswer: 768.878103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*i - 20 = 20*i - 4*t, -5*i + 23 = 3*t. Suppose -4*z = -2*y, 5*y = -0*z - 5*z. Solve m + 2*o - 1 = 6*o, o - i = y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 2*t + 16 = -5*c, -c + 3*t - 9 = 0. Let z be c\/(-2) - 1\/(-2). Let a be (25000\/15)\/(z\/48). Round a to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**2)**(-35)\/(f**(-1\/3)*f*f*f**5) assuming f is positive.\nAnswer: f**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y - 9. Suppose 0*d + d + 2*j = 16, 0 = -3*j + 12. Let a(n) = 3*n - 14. Let q = 10 - 15. Let l(v) = d*m(v) + q*a(v). Differentiate l(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4*3\/(-6)*1. Let f be ((-9)\/(-99))\/(y\/(-4)). Is -1 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = a - 8. Suppose 3 = k + a*k. Suppose -6*w - 14 = 2*o - 2*w, -5*o + 10 = w. Solve -u = -k + o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/16 greater than or equal to 171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-57)\/(-38)*(-152)\/(-95)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 146951071 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - (3 - 0) - (246 - 243)) + -54?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -28\/10643 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140964 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - -2*sqrt(171)*3)\/(sqrt(27)\/(sqrt(15)\/sqrt(5))) + -1*sqrt(931) + 3 + (sqrt(931) + -2 - sqrt(931)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -14*a + 7. Let z(v) = -5*v + 2. Let o(d) = -6*x(d) + 17*z(d). Let b be o(-5). Let w = 5 + b. Calculate the highest common factor of w and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k - 9*k + 4*k - 38*k**4 + 12*k**4 wrt k.\nAnswer: -312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 16. Let v = -107 + 1389\/13. Are v and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3724161154?\nAnswer: 2, 7, 71, 3746641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 67133 and 748?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/a**(-2\/3)*a*a))**28*a**(-1)*a**(-7)\/a assuming a is positive.\nAnswer: a**(-251\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) -43  (b) -693  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 124 + -57. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 111, 113, 115, 117, 119, 121?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36717 is divided by 1450?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67686031 to the nearest integer?\nAnswer: 8227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 - -63. Let s = -50.9 + y. What is the nearest to s in -0.2, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 divided by 119370?\nAnswer: 9\/39790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-14) + (-26)\/(-7). Let y(v) = 3*v + 56. Suppose 3*w - o = 2*w - 22, 2*w - 5*o + 56 = 0. Let u be y(w). Solve -2 = z*f + u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 + 68 + 49 = -27*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 3*c - c - 30, -x - 5*c - 6 = 0. What is the least common multiple of 62 and x?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1323*o**2 - 1662*o**2 + 2992*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 3*t, 5*r + 0*t - 4*t = 38. Solve -r + 4 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 + -23. Suppose 2*a - 5 = v. Suppose g + a*g = 40. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -48, -85, -138, -213?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 290 = -7*v. Suppose -a + v + 8 = 0. Suppose 2*j - 5 - a = -5*t, 3*j + 3*t - 84 = 0. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/((-4)\/(-96) - 0). Let r = -14 + j. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 4*y**2 + 5*y + 4. Let w be s(-5). Let q(o) = -w*o + 9 + o**2 + 0*o + o. Is 22 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210655 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: Convert 0.3413459 weeks to minutes.\nAnswer: 3440.766672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4901145?\nAnswer: 3, 5, 19, 29, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (210986 + 24793*t - 6078*t - 210987)*(0 - 2*t**3 + 0) as l*t**2 + d + x*t + r*t**3 + z*t**4 and give z.\nAnswer: -37430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 60*j - 59*j - 6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15229117?\nAnswer: 15229117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from nnnnnnnjjjnnnn?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from btttbctrbrtrc?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 205421, -11 in descending order.\nAnswer: 205421, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/671, -5, -0.2, -1131 in descending order.\nAnswer: -2\/671, -0.2, -5, -1131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 5 = -5*b, 6 - 1 = -5*t - 5*b. Suppose 5*o + 4*d - 11 = t, 0 = -3*d - 0 - 3. Find the third derivative of -w**2 + o*w**3 - 2*w**2 + 0*w**3 wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, q: 1, t: 1, d: 4}. Give prob of picking 1 d and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3  (b) 2  (c) -0.10685  (d) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*p - 54*p - 5530*p**3.\nAnswer: -5530*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*r - 2*r - q, -4*r = 4*q + 28. Let n = r + 117. Let c = n + -77. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 28 + 108 + 17*s**4 + 21*s**4 - 8*s**4 wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2223954701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*s + 23*s**2 + 7 - 7 - 22*s**2 to g + u*s**2 + a*s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2032 - 5.2032. Suppose -4*r - 10 = 2*i + 2, -4*r - 5*i = 6. Let h be r - 1*(-2 + 1). Sort 0.2, h, l in ascending order.\nAnswer: l, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 697 + -678. Let q = 44953756 - 44953774.999967. Let f = u + q. What is f rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4612890 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1282020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 121, -8\/7, -0.4 in ascending order.\nAnswer: -8\/7, -0.4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-1\/7))\/(q\/q**(11\/3)) assuming q is positive.\nAnswer: q**(80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*m**2 + 34*m**2 - 47*m**2 to the form x*m + r + n*m**2 and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 5:56 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of z**5\/18 - z**4\/3 - 8*z**3\/27 + 15*z. Suppose f(q) = 0. Calculate q.\nAnswer: -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1984 divided by 248\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 0.1  (c) 11022553\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15*a**4 + 66*a**4 + 54*a**4 + 150 wrt a?\nAnswer: 420*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-8))\/(80\/(-96)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4188.49l to millilitres.\nAnswer: 4188490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -1. Let b = 33 - 89. Let f = -54 - b. Solve n + f = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 0.4, -394, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/2*g**3 - 17\/2*g**2 + 0 - 15*g = 0. What is g?\nAnswer: -15, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19771383*a - 327882939 with respect to a.\nAnswer: 19771383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/3 and 29\/5634800?\nAnswer: 16904400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 6:40 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9.7 + -1.7. Let m = -11 + t. Put -3\/2, m, 1\/3 in increasing order.\nAnswer: m, -3\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -112.177 times -3\nAnswer: 336.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -41, -459719?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 - 7)\/(-3)*(-2 + 1)*5. Put -2, -1, g, 62, 5 in decreasing order.\nAnswer: 62, 5, -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 times 0.165?\nAnswer: -1.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 less than -10?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -382.894192 + 151\nAnswer: -231.894192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/16*(-72)\/54*20\/(-1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(4\/5)*q**15)**(-4\/11) assuming q is positive.\nAnswer: q**(-316\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 563 - 459. Let b = m - 80. Let a = -9 - -21. Calculate the smallest common multiple of a and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2563042 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, b: 2, x: 1, q: 2}. What is prob of picking 1 a and 1 q?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 387 - 219. Calculate the remainder when g is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/30206602 and 13\/45309903.\nAnswer: 90619806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2318, -9135, -20446, -36251, -56550, -81343?\nAnswer: -110630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 + -25. Let o(f) = -113*f**m + 115*f**2 - 3*f + 7*f - 4. Does 12 divide o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -209 = -10382*z + 10371*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*k**2\/5 + 47478*k + 79131\/5.\nAnswer: -3*(k - 26377)*(3*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*p**2 - 70587*p + 4508063 wrt p.\nAnswer: -8*p - 70587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 661 - 3283 - 1671 = -85*i - 808 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 4*s**3 + 2. Let u(i) = -2*i**3 - i**2 - 17*i. Let p(m) = -7*m**3 - 4*m**2 - 51*m - 1. Let c(t) = -p(t) + 3*u(t). Calculate 3*c(v) - d(v).\nAnswer: -v**3 + 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8\/17, -0.3, -7215?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*o + 160 = 51*o - 125*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 4 - 8 - 3*t - 2*t. Let u(k) be the second derivative of k**3 + 5*k**2\/2 - 88*k - 1. Let n = 0 - 3. What is n*x(s) - 2*u(s)?\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20000022 (base 3) to base 12.\nAnswer: -2652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237382 is divided by 118684.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 98\/5 of a micrometer in nanometers?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 510894466 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 460 - 3224\/7. Let m = 0 + -0.4. Sort i, m, -2 in ascending order.\nAnswer: -2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - 2*(sqrt(171) + sqrt(171)*-1 - sqrt(171)) - (-1*sqrt(171) - sqrt(171))*-4)\/(sqrt(27)\/(-1*sqrt(3)) - sqrt(225)*-6))**2.\nAnswer: 475\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5287 is divided by 867.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of 0*g + 13 - 5\/2*g**2. Let u(n) = 11*n**2. Let v(o) = -4*o**2. Let d(j) = 3*u(j) + 8*v(j). Give d(b(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 1 + 25 = 0. Suppose 0 = -4*g + 2*a + c + 4, 10 = -5*a. Suppose 0*i - 5*i - 3*x - 29 = 0, 0 = 4*i - 4*x + 4. Put -2, g, i in decreasing order.\nAnswer: g, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3179870.3 to the nearest ten thousand.\nAnswer: -3180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q**2 - 153*q**3 + 2 + q + 318*q**3 - 89*q**3 + 2*q**4 - 97*q**3 in the form z*q**4 + o + u*q**3 + i*q**2 + h*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (147 + -4009)*7\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 1. Let o be 8 - 5 - c\/(-1). Let m = 18 + -11. Solve o = 4*n + m - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 65 = 2*u, 2*u = -2*u - 4*w + 140. Let d = 48 + u. What is the third derivative of 24*v**2 + 82*v - d*v - 29*v**5 wrt v?\nAnswer: -1740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n*(n*n\/(n\/(n\/(n*n**10*n*n)*n))*n)\/n)\/n**(-1\/3))\/(n*n\/(n\/n**(-2)))**20)**13)**2 assuming n is positive.\nAnswer: n**(884\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4 - 2) + 0\/1. Let x = j + 11. Suppose x*k = 2*k. What is the biggest value in -3\/7, k, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.216 and -7?\nAnswer: 7.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 5*l = -20, 2*o - 3*l + 12 = -2*o. Suppose 4*y = 3*u - y - 29, -5*u - 3*y + 71 = o. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 64568*p**2*z**3 - 2*p**2*z - p**2 - 78*p*z**3 - 1896*z**3 wrt p?\nAnswer: 129136*z**3 - 4*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.555 + 2.555. Let k = -32 - -32.51. Let t = -0.11 + k. What is the nearest to v in t, -1\/3, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.2 - -8.2. Let h = -7.1 + t. Let b = h - -0.3. Sort b, -1\/3, -1.\nAnswer: -1, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -5*u, u - 22 = -d - 27 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, q: 5, v: 2}. Give prob of picking 1 w and 3 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 393 is divided by 53?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.934079 - 21329835.\nAnswer: -21329836.934079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 575\/15*-2*(-6)\/4. Calculate the greatest common factor of f and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 314194 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, -136, -292, -452, -616, -784?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 67914?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of 63*a**2 + 1\/12*a**4 + 0 - 16*a + 2*a**3. What is the first derivative of n(l) wrt l?\nAnswer: 2*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (112\/(-9))\/(7\/(-3*42\/36)).\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/2 - (-4)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 6*v**2 + 5*v. Let t(p) be the first derivative of 1 + 0*p - 1\/2*p**2 - 1\/3*p**3. Give -2*s(k) - 11*t(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -4*h. Let d(g) = g + 11. Let b(r) = -6*r**2 + 2*r + 15. Let f(x) = -b(x) + 2*d(x). Calculate f(p(i)).\nAnswer: 96*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14764, -14277, -13790, -13303, -12816, -12329?\nAnswer: -11842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.006 - 0.406. Let s = -0.09 - 0.01. Let l = s + a. Put 3, l, -5 in decreasing order.\nAnswer: 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -433 - -53367804700.\nAnswer: 53367804267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + sqrt(30)\/(sqrt(12)\/sqrt(2))).\nAnswer: -sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**14\/((c\/(c*c**(-9)))\/c*c))**13 assuming c is positive.\nAnswer: c**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 348*o + 36 = 330*o. Put 2, -0.3, o, 2\/11 in decreasing order.\nAnswer: 2, 2\/11, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 PM and 1:34 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - 35*f + 171. What is p(27)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -3*i - 2*i + 205, -i + 41 = -2*r. Let u = 99 - i. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 - w - 2. Let u(s) = 2*s**2 + 34*s + 9. Give 6*k(n) + u(n).\nAnswer: -4*n**2 + 28*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -620, -625, -630, -635, -640, -645?\n\"Answer: -5*h - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in 0.3, 1, 5, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(1024)*-4 - sqrt(1024)))\/(3*sqrt(392)*-6) + 2.\nAnswer: -100*sqrt(2)\/63 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1016769587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 120548 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.07 in 5, -0.227, 1\/2?\nAnswer: -0.227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 454 = -5*k - 4*m, 0 = -k + 3*m + 173. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 405 + -24. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -107 (base 12) to base 3.\nAnswer: -12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wttw when four letters picked without replacement from {t: 2, l: 2, w: 3, m: 10, h: 2}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2631 is divided by 120?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 3:38 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34391, 68772, 103153, 137534, 171915?\nAnswer: 206296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 + 2*i**2 - 4*i - 1. Let y be 3\/1*(0 + -1). Let m be k(y). Factor -j**3 + m - 2 + j**2.\nAnswer: -j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -4*z - 3. Suppose -l + 2*l + 3 = 0. Determine t(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.489667 nanometers to centimeters.\nAnswer: 0.0000001489667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(1\/4)*m**(-5\/4)\/m*(m**(-1\/3))**(-43))**(-46\/5) assuming m is positive.\nAnswer: m**(-1702\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*p - 2*q + 4, -271*p = -274*p - 5*q - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26*i**4*j - 1507660*i**3*j - 8633*i*j + 756*i + 2*j wrt i?\nAnswer: -312*i**2*j - 9045960*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t + 760 = 70*t - 28*t - 19*t for t.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -4290*s**2 - 20*s + 75. Let n(c) = -1471470*c**2 - 6864*c + 25740. Give -1716*a(w) + 5*n(w).\nAnswer: 4290*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-782)\/(-207) - 2\/(-9). Solve a - 1 = 3*o, -2*a + c*o - 1 = 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18079 and 5453593.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + (sqrt(1539) - (sqrt(1539) - (sqrt(1539) + 0))*2 - sqrt(1539)))**2 + 5*-5*(sqrt(171) - (1 + sqrt(171))))*-2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16.203 - 13.203. Which is the closest to 0?  (a) x  (b) 51  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -32, -3, -0.2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) - sqrt(121)*-3)*-4)\/(sqrt(539)*-1 - sqrt(539) - sqrt(539) - sqrt(539)))**2.\nAnswer: 2475\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4279000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*z - 23*z + 2*q - 1394 = 0, 2*q - 2798 = -4*z. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -15*f**2 + 5*f. Let d(m) = -7*m**2. Give l(d(a)).\nAnswer: -735*a**4 - 35*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 197805506 + 3\nAnswer: 197805509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.35 take away 23?\nAnswer: -25.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 403 + 424 + 434 + 4*r - 1294 + r to the form k*r + p and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(2\/21)*b)\/(b\/(b**12\/b))*(b**3\/b)**25 assuming b is positive.\nAnswer: b**(1304\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1960\/107, -5\/4, 0.085, 2?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*n**2 + 2*n**2 + 2*n**2)*(n**3 - 2*n**3 + 7*n**3).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -6*r + 36. Suppose -2*j + r + 44 = 0. Suppose -240*s + 10 = -238*s. Solve 4*g = -4*t + j, -2*g + 10 = -s*t + 2*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36364, -36406, -36448, -36490, -36532, -36574?\nAnswer: -36616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1129915?\nAnswer: 5, 225983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -38, -195, -448, -791, -1218, -1723, -2300?\n\"Answer: u**3 - 54*u**2 - 2*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2456*v + 1500*v - 1196*v + 83612 + 39052 for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from feegefxegxexygxg. Give prob of sequence efx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (6*((2*sqrt(325) - sqrt(325)) + 2))**2.\nAnswer: 720*sqrt(13) + 11848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y = 28 + 72. Let i be y\/(-40) + ((-5)\/(-4) - -2). Let x be 90\/36*(-1 + i). Put x, 3, -3 in descending order.\nAnswer: x, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**3 + 83852*o**2 - 101509810*o + 31180109536 = 0. What is o?\nAnswer: 619, 40688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.1, -2, -0.0601, -2863?\nAnswer: -0.0601","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -i - 12. Let o = 4 + i. Suppose -h + z + z = -154, 3*h - 452 = 4*z. Calculate the highest common factor of h and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 9*c**2 - 5*c. Let a(d) = -25*d**2 + 19*d + 3. Let g(v) = -173 + 169 + 24*v**2 - 33*v + 13*v. Let b(t) = -4*a(t) - 3*g(t). Give 5*b(z) - 16*m(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 11169 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -6*g**2 + 24*g + 24. Let c(r) = -r**2 + 5*r + 5. Calculate 24*c(i) - 5*o(i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -926*i**3 + 91*i. Let p(l) = 67830*l**3 - 6664*l. Calculate -13*p(b) - 952*u(b).\nAnswer: -238*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 10 = 0, r + 2 = -5*h - 20. Put -14, 0, h, 4 in decreasing order.\nAnswer: 4, 0, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 - (2 - (4 - -2)). Suppose -w = -3*w - 4*z + o, -4*z = 16. Solve 4*c = w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 97216*d. Let j(p) = 101*p**2. Determine q(j(w)).\nAnswer: 9818816*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 37*m**2 - 62*m - 344. What is the thousands digit of l(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 30 = 5*t, -5*o - 2*t = -4*t - 29. What is the second derivative of -8*n + n + 55*n**2 - 4*n**o - 55*n**2 wrt n?\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 186 = 206 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(150) + (sqrt(150) - (sqrt(150) + (1*sqrt(150) - sqrt(150)))*-3))\/(sqrt(20)*-1))\/((sqrt(160)*-2 - sqrt(160)) + 2*sqrt(1000)).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 197 divided by 253125\nAnswer: 197\/253125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - 6*o**2 + 3*o + 9. Let p = 107 + -102. Suppose 0*g + p*g = 2*j + 32, 3*g = j + 18. Calculate s(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 - 8*f**2 + 10*f + 6. Let i be l(-9). Let p = i + 5. Suppose 0 = 3*j + p*j - 25. Solve 17 - 7 = -j*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - 2*sqrt(187)) - sqrt(187))*6)\/(sqrt(11) - (sqrt(11) - sqrt(275)*-1)).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 326?  (a) -2  (b) 0.4  (c) 3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of 2*c**3\/3 + 29*c**2\/2 + c + 16. Calculate o(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.92509 litres to millilitres.\nAnswer: 5925.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3776\/5, -0.12, 3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 - 21. Let m = -12 - c. Let r = 1 + 3. Sort r, 2, m.\nAnswer: m, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from uvyoeto?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64454692.\nAnswer: 2, 16113673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.7644 + 0.2356. What is the nearest to 1\/3 in 15\/7, m, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -139, -293, -447, -601, -755, -909?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 10:11 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 12*m. Let h(q) = 3*q**2 - 6*q + 9. Let p(f) = f**2 + 1. Let s(c) = h(c) - 2*p(c). Let y be s(5). Does 13 divide r(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -18 + -124?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 178\/(-11) + (-40548)\/1199 + 34.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1095 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11247*m**2 - 983*m - 5 wrt m.\nAnswer: 22494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 6\/11, 2, 0.04, 0, -899?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13871.1 - -13871. Put 0.8, 3, 0.5, -0.5, j in decreasing order.\nAnswer: 3, 0.8, 0.5, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.4 - -6. Let z = 0.2 + r. Let y = 1 + -6. Sort z, 0.3, y in decreasing order.\nAnswer: 0.3, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -8 + g**2 + 6 + 10 + 6 - 12*g. Let r be f(11). Let 0 - 2\/5*t**r + 0*t - 2\/5*t**2 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z**5\/7 - 4532*z**4\/7 - 1281416*z**3\/7 + 1290488*z**2\/7 + 183060*z - 183708 = 0. What is z?\nAnswer: -567, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 10:38 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65867 is divided by 5984?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1 + sqrt(980).\nAnswer: 3 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 5)) - sqrt(1872))*1)**2 + sqrt(1872) + -2 + (sqrt(1872) + -1)*3 + sqrt(1872) + -4.\nAnswer: 16 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (1 + 3 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 20*h**2 - 3076*h + 5482. Give i(152).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 128923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*l**2 + 28*l**2 - 12*l**2 - 14*l**2 + l**3 to k*l + u*l**3 + z*l**2 + y and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = i - 6*i. Let k = -10 + i. Suppose -5*o + 6 = -k. Solve 3 = -o*r + 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 3\/32  (b) 17\/4  (c) -1  (d) -1\/3  (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.3604835 - -9.36048342. Let s = -0.3 + 3.3. Let n = s - b. What is n rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*p = 236*p - 67*p + 2641 + 670 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-88)\/(-55)*7\/((-28)\/(-10)). Sort 2, y, -4.\nAnswer: -4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**3 - 50*z**2 + 48*z + 2. Let i be b(24). Solve 8 = i*n + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 233*x**2 - 8*x + 7. Let q(a) = 230*a**2 - 7*a + 5. Give 6*b(s) - 7*q(s).\nAnswer: -212*s**2 + s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 10522277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(800) - (-1*sqrt(800) + sqrt(800)))\/(sqrt(110)\/(sqrt(33)\/sqrt(3))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -49967035 times 0.2?\nAnswer: -9993407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4077 + 128967189?\nAnswer: 128963112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7ba0a (base 14) to base 5.\nAnswer: 34113231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c**(1\/3)*c))**17)**11\/(c**(-2)*c**3*c**(3\/7)*c**(2\/3)*c) assuming c is positive.\nAnswer: c**(-458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003084 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(12\/4))\/(-3)*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -52\/187?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (58 + -57)*((-22)\/(-42) - (-2)\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*u + 80 = j - 28 - 7, 3*u = j - 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(99) + 2) - ((sqrt(66) + (1*sqrt(66) - sqrt(66) - sqrt(66)) - sqrt(66) - sqrt(66))\/sqrt(6) + 1).\nAnswer: -7*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-11 - (-12 + 5 + -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -150\/13 + 2\/13*d**2 + 148\/13*d = 0.\nAnswer: -75, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -13\/5*u**6 - 143*u**4 - 639\/20*u**5 - 1\/14*u**7 + 0 - 242*u**3 - 88*u + 0*u**2. Factor g(r).\nAnswer: -3*r*(r + 2)**2*(r + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7276833 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -431775 divided by 25?\nAnswer: -17271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 996143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -125*k**3 + 276100*k**2 - 220820*k + 44160.\nAnswer: -5*(k - 2208)*(5*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*-3*sqrt(99) - sqrt(99))*-3)\/(sqrt(90)\/((sqrt(10) + sqrt(360))*-1))*1)**2.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**2 - 3*f + 2. Suppose -u = u - 2*r + 14, -5 = 5*u + 5*r. What is the tens digit of a(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (31\/16 - 2)\/(4\/24). What is the closest to -37 in -5, -1\/5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 342978392 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154206081.\nAnswer: 3, 229, 74821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.9 + -3.6. Let t = m + 2. Which is the second smallest value?  (a) 4  (b) -3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*1\/((-2)\/4). Let m = 13 - z. Suppose -6*l + 2*l = i - 36, 0 = -4*l + 2*i + 36. What is the lowest common multiple of l and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 9*a**2 - a + 24. Let v(r) = 2*r**3 + 19*r**2 + 3*r - 49. Let t(w) = 4*v(w) + 9*x(w). Calculate the remainder when 148 is divided by t(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1707204469?\nAnswer: 1707204469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12464055 + -30?\nAnswer: -12464115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -100111100110000 (base 2) in base 8?\nAnswer: -47460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 118, 235, 350, 463?\n\"Answer: -t**2 + 120*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -197\/5008320 and -121\/751248.\nAnswer: 15024960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 616808774?\nAnswer: 2, 59, 79, 127, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/(-136)*6098206\/13385.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 805348 take away -3?\nAnswer: 805351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 0*w = 20. Let f be 75\/42 - (-6)\/w. Factor f*z**3 - 2\/7 - 2\/7*z + 2\/7*z**2.\nAnswer: 2*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + 14)\/(-8 - -6). What is the nearest to -2 in -2, t, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 433698, 433700, 433702?\nAnswer: 433704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-305)\/427)\/(2\/2)*(-3)\/(-5)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-11 - 1) - (-825 + 782)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.05 and -37390289391657.\nAnswer: -37390289391656.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1540 - 1604679\/1042. Is 0 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3434501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(1573)*1 - sqrt(1573)) - ((sqrt(117)*1 - sqrt(117)) + sqrt(117))*-3)**2 + 1.\nAnswer: -72*sqrt(13) + 1070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**5\/10 + 4*i**4\/3 - 16*i**3\/3 - 14*i + 10. Let v(r) be the first derivative of m(r). Factor v(j).\nAnswer: -2*j*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 15 = -5*j, -j + 0 = -3*q - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*b - 46 = -5*b, b = 2*t - 46. Suppose 305 = -20*v + 3905. Let k be v\/8 + (-3)\/(-7 - -1). What is the highest common factor of t and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 71*u - 3873056 - 4498625. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 181.3 + -180.481. Let t = 142.929 - 143. Let m = p - t. What is m rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1005714349?\nAnswer: 769, 1307821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -59 - 34 + 89*l**5 + 20*l**6 - 10*l**3 - 89*l**5 + 11*l**3 + l**2 wrt l.\nAnswer: 2400*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 14.83546 and 8?\nAnswer: 118.68368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7085385787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of 4*c**6\/15 + 17*c**5\/20 - 1127*c**3\/3 - 659*c - 2. Find the second derivative of l(t) wrt t.\nAnswer: 96*t**2 + 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(9072) - (-3*sqrt(693))\/sqrt(11))\/((sqrt(144)\/(sqrt(16)\/sqrt(2)))\/sqrt(72)).\nAnswer: -126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of g**3 + 0*g**4 - 1\/20*g**6 + 0 - g**2 + 0*g + 0*g**5. What is the first derivative of q(r) wrt r?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2089733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 35 + 6 + -30 - (20 - (14 + -7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-84 + 13 + 19)*(0*a - 4*a + a)*(-1 + 0 - 3*a + 5*a).\nAnswer: 312*a**2 - 156*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 PM and 10:07 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 754, 9, 2, -108, 1, 0 in descending order.\nAnswer: 754, 9, 2, 1, 0, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15678, 31357, 47036?\nAnswer: 62715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 6:10 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 38293 and -3.\nAnswer: -114879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 958357 and 33999938?\nAnswer: 33041581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -616880.1 rounded to the nearest 1000?\nAnswer: -617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(352)\/sqrt(512))\/(sqrt(24)\/sqrt(6)*3).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5788 + 5793. Which is the closest to 6?  (a) t  (b) -5  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -139 divided by -6.\nAnswer: 139\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 + 41. Suppose -14 = t*d - 10*d. Suppose 615 + 407 = d*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 595447 is divided by 595431?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 10*p - 6*p + 0*p + 2*p**2 + 2. List the prime factors of k(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 3 + 1 = 0, 6246*k = 4*h + 6249*k + 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, j: 9}. What is prob of picking 1 w and 2 j?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + -5452514?\nAnswer: -5452520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*b**2*p*w + 352*b**2*p - 3*b**2*w - 107*b*p*w - 3*p wrt w?\nAnswer: 2*b**2*p - 3*b**2 - 107*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 723494.6ug in tonnes?\nAnswer: 0.0000007234946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14292652.\nAnswer: 2, 11, 157, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 68\/3 - 3\/(-9). Let a(m) = -m**2 + 25*m + 4. Let n be a(z). Suppose -53*g + 384 = -n*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -9146, -18251, -27344, -36419, -45470, -54491, -63476?\n\"Answer: o**3 - 9112*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 11550 = -7*s - m, 5*m = 5*s - 11580. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 371063, 742744, 1114425, 1486106, 1857787, 2229468?\n\"Answer: 371681*w - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 13) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 37*t + 50*t = -344. What is the closest to -5 in t, 5, 2\/15, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1  (b) -17\/11  (c) -1  (d) 25  (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7909420 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 7. Let g = 5279\/13992 - 4\/1749. Which is the second smallest value?  (a) g  (b) y  (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 8. Suppose 0 = 3*p - 4*l - 8, -14*p + 56 = -9*p + 4*l. What is the least common multiple of b and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -63*r**2. Let d(k) = -3*k. Calculate d(p(j)).\nAnswer: 189*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.479 - -1.479. Sort x, -6\/11, 0.4, 3 in descending order.\nAnswer: 3, 0.4, -6\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8189154 months to decades.\nAnswer: 0.006824295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/(-5) + 489\/310 and (48\/672)\/((10\/(-6))\/((-18984)\/(-144))).\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1233508427 to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 3 - 4)*(30*p**2 + 14*p**2 + 49*p**2)*(-3*p + 4*p + 2*p + (p + 2*p - 4*p)*(-3 - 3 + 5)) as u*p**2 + q*p + l + g*p**3 and give g.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s**2 - 130*s**4 - s**3 - 124*s**4 + 259*s**4 + 21*s as c*s**2 + a*s**4 + z*s + f*s**3 + b and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/8 equal to 947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l + 24. Suppose -12*s + 13*s - 7 = 4*c, 0 = 5*c + 2*s + 12. Let i(p) = -10*p - 121. Calculate c*i(y) - 11*w(y).\nAnswer: -2*y - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 - 9\/((-36)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.5 + -4.4. Let t = -1.86 - g. Which is the closest to 0.1?  (a) 2\/3  (b) t  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5157275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 - 19*i**2 + 28*i - 62. Give s(-20).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/38 and 117\/14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 712\/(-6408)*(-21 + -13)?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -7 - 0. Let i = 13 - j. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4777621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 13*g**5 + 99*g**4 + 140*g**3 - 9*g**2 + 9*g. Let o(k) = -6*k**5 - 52*k**4 - 70*k**3 + 4*k**2 - 4*k. Let m(v) = 4*a(v) + 9*o(v). Factor m(r).\nAnswer: -2*r**3*(r + 1)*(r + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13087*j + 112 - 112.\nAnswer: 13087*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + (-15)\/(-9))\/(-1). Which is the closest to -2?  (a) 1\/2  (b) q  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 4 - (2 - 4)) + (-1503 - -1482)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6750 = 2*t + 13*t. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -22*w**3 - 3*w**2 + 3*w. Let i(g) = -10*g**3 - g**2 + g. Let m(d) = 9*i(d) - 4*u(d). Let a(c) = c**3 - 4*c**2 + 4*c. Determine -3*a(k) - 4*m(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-351)\/(-36) - 7)\/(6\/(-24))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of -109*z**4\/24 + z**3\/2 - 9*z**2. Let x be c(-3). What is the units digit of x\/(-8)*(-7 + (-39)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19301 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -5*w**2 + 2*w**2 + 0*w**2. Let z(p) be the third derivative of 0*p + 0*p**3 + 0*p**4 + 3*p**2 + 0 - 1\/60*p**5. Give b(z(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2*a + 3)*(2 - 5 + 5) + 32 - 32 + 31*a + 2*a - 3*a + 3*a + (1 - 4 + 2)*(2*a - 2*a + a) + 3 + 2*a - 3 as t + o*a and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*f**4*q**2 + 63*f**4*q - 3*f**3*q**2 + 2*f**2*q**2 - 106*f**2 - 2 wrt f?\nAnswer: 96*f*q**2 + 1512*f*q - 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -2*sqrt(847) + 1)*6)**2*-1.\nAnswer: -122292 - 4752*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/4981050 and 47\/6087950?\nAnswer: 54791550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 68 = -4*a + 28*a, 7*m + 0 + 14 = 8*m + 2*a for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + -3. Is r at least as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1+-3200896973\nAnswer: -3200896972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + 3 - 3*-4597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w*w\/(w\/w**(-6))*w)\/w**(-1))\/(w**(-1)\/w*w*w)**25)**(2\/69) assuming w is positive.\nAnswer: w**(-4\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14201900*q - 14201794*q + 28403695*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -z + 7, 5*l - 3*z = z + 53. Suppose -s = -l + 1. Suppose -3*h + s*h = 85. Calculate the greatest common divisor of 68 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.483 and -22670.\nAnswer: -22670.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1.7790528 microseconds?\nAnswer: 0.00000002965088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 538375449 plus -2?\nAnswer: 538375447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -5 + 91 + -60 + -3 + 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 146117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1702 - 3259 = -164*y + 2871. Solve 5*i = c - y + 53, -5*c - 3*i = -10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/11280 and 133\/240.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -107 + 198. Let w = i - 94. Let h(a) = -a**2 - a + 4. Calculate h(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {m: 3, u: 2, a: 5, v: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -53*s + 4. Let l be y(-4). Let n be (-4)\/18 - 33\/l. Let d(f) = -f**2 + 10*f + 7. Let k be d(11). Which is the nearest to 2\/5?  (a) k  (b) 1\/6  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 261 = 3*f - 276, 20 = 4*f - 4*j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 111 in 0.1, 0.13, -3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10  (b) -35  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -4*b - 7, -1139 = -5*u - b. What are the prime factors of u?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 10208766 + 6?\nAnswer: 10208771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -12, -0.4, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -15800708 divided by 1276\nAnswer: -12383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-253)\/(-5) - (-14)\/35. Suppose 2*m + i + 79 = 0. Let a = 69 + m. Solve -a*z + 18 = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((64\/56)\/((-2)\/(-28)*4))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -4 + 1 - 42*g - 5 + 1. Is q(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 13) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 2.67  (c) -60  (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -30*f**3 + 102*f**2 - 34*f + 10. Give n(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50 - 73*c - 50)*(-3*c - c + 3*c).\nAnswer: 73*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 157, 510, 873, 1246, 1629, 2022?\nAnswer: 2425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in -0.12, -30, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 595*x + 595*x. Let t(n) be the third derivative of -19*n**6\/360 + n**3\/6 + 2*n**2. Let i(z) be the first derivative of t(z). What is j(i(b))?\nAnswer: 361*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 296715648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of 2*w**7\/35 - w**6\/30 + w**5\/15 + w**3\/2 + w**2 - 19*w. What is the third derivative of d(s) wrt s?\nAnswer: 288*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 89141\/18 + -4949. Calculate the common denominator of 77\/40 - 3\/(-15) and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4524504.575 to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4 = -0*j - 2*t, 4*j - 20 = -3*t. What is the common denominator of 9\/11 and j\/(3 - (-38)\/(-12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/(x**(7\/5)*x)*x*x)\/x*(x**(-1\/5)\/x)\/x)\/(x**16\/((x\/x**(-3\/16))\/x)) assuming x is positive.\nAnswer: x**(-1393\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, z: 5, q: 5, n: 1, w: 3}. What is prob of picking 1 z and 3 w?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 285 divide 365920620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 11, 1204, 9 in ascending order.\nAnswer: -3, 9, 11, 1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 51 + 0. Let n = w - 43.9. What is n rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1*6)\/((-9)\/6). Let d(g) = 2*g**2 - 5*g + 2. Is d(p) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 - 7*o - 5. Let d be j(8). Let u(g) = -d + 0*g**2 - g**2 - g**2 + 5*g + 2 - g**3. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 69*c**3 + 9*c**2 + 9. Let o(w) = 35*w**3 + 4*w**2 + 4. Determine -4*d(k) + 9*o(k).\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 17*a - 156. Calculate the greatest common factor of 3 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4083, -8153, -12239, -16347, -20483?\n\"Answer: -j**3 - 2*j**2 - 4057*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 + 4*x - 1. Suppose 2*k - 2 = 0, -5*s + s = -3*k + 23. Calculate g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -796160, -1592321, -2388482, -3184643, -3980804, -4776965?\n\"Answer: -796161*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 11, y: 1, l: 1}. Give prob of sequence clcc.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 19  (b) 2\/155  (c) 137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m + m**3 - 833*m**2 - m - 2*m**3 - 22 + 817*m**2. Determine w(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 18*h**3 - 10*h**3 + 13 - 22*h - 10*h**3 + 3*h**3 + 6*h - 17*h**2. Determine w(18).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4015670476215 - -49\nAnswer: -4015670476166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**4\/7 + a**3\/7 + 3*a**2\/7 - 5*a\/7 + 2\/7 = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(2\/53)\/j))\/(j\/(j*j*j**(4\/7)\/j*j*j*j*j*j*j)) assuming j is positive.\nAnswer: j**(3166\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-5)*b*b**(-4)*b)\/(b**3\/(b*b\/(b*b**(-2\/3)*b)*b*b)))\/((b**(2\/5))**20*b**1\/(b\/(b**7\/b))) assuming b is positive.\nAnswer: b**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39\/37 or 0?\nAnswer: -39\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003307378 to 5 dps.\nAnswer: 0.00331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 16 = 5*w, -4*z + 4*w - 6*w = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y*y**(-23\/3)*(y**(-12\/11)\/y)\/y*y assuming y is positive.\nAnswer: y**(-256\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s + 6. Determine m(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 7:05 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -6*s**2 - 2*s**2 + 0*s**2 - 14*s**2. Let v(f) be the second derivative of -1\/6*f**4 + 0*f**3 + 0*f**2 + 0 + 8*f. What is q(v(h))?\nAnswer: -88*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 353779, 1415004, 3183717, 5659918, 8843607, 12734784?\nAnswer: 17333449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 73*a**2*x - 8255*a**2 + 34*a*x - 2*a - 2*x wrt x.\nAnswer: 73*a**2 + 34*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -22a3 + 1a?\nAnswer: -2287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-42)*3*2513\/718.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 AM and 10:30 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of -7*p**4\/12 - 4*p**2. Let r(o) = -2*o. What is r(a(z))?\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of h**5\/60 + 7*h**4\/24 - h**3\/2 - 5*h. Let z(u) be the second derivative of v(u). What is the first derivative of z(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 10 = 0, -i + 5*o + 1 + 24 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 982\/1569 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.17962 times -0.101\nAnswer: -0.01814162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.06*-0.0428\nAnswer: -0.002568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 111 + 9 = 0. Calculate the remainder when 46 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + 47*l**2 - 3*l - 139. Determine n(-47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 0.2, 4, 5, -7 in descending order.\nAnswer: 5, 4, 2\/3, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 2, 54, 1, 4, 3, 7 in increasing order.\nAnswer: -9, 1, 2, 3, 4, 7, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 131.92 + -129. Let v = 2.92129 - h. What is v rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3720680857 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: What is the millions digit of 1921931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/10)\/(7\/(-5)). Let a = 0 - -1. Let j = -711\/40 + 743\/40. What is the third biggest value in a, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 501374 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 349 - 267*y**2 - 349.\nAnswer: -267*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/p**(-2\/7))\/(p*p*p**(-1)*p))\/(p**1)**31)**(-7\/4) assuming p is positive.\nAnswer: p**(215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 78 - 392\/5. Let h = -0.02 + -0.6. Let t = h - -0.12. Sort -0.1, u, t in increasing order.\nAnswer: t, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, d: 1, o: 3, c: 7}. Give prob of picking 1 d and 1 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11235 and 2247.\nAnswer: 11235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 52336 and -0.01.\nAnswer: 52335.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-42)*2)\/(36\/42)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2 = 0, -2*r = -3*r + 5*i + 36. Let j = -24 + 74. What is the remainder when j is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 3*v - 16*v - 8 - 2*v**2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10942965 and 4752.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aq when two letters picked without replacement from aaaqaaaaqaaaa?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - -2. Let j = 15 + l. Suppose -5*i + 45 = p, 4*i = 3*p + j + 33. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 114 and 354?\nAnswer: 6726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-10))\/(((-1080)\/1296)\/((-5)\/(-3))). What is the nearest to -1 in -0.03, 5, x?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 282 = 4*n + 2*n. Suppose 2*f + 4*q = 3*f - n, 2*q = -2*f + 44. What is the tens digit of (15 - 9)*f\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 0*b + 167 = 3*t, 5*b + t = 159. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 68061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -131*n**2 + 4*n - 3. Let r be v(1). Let q be (r\/6)\/((-20)\/(-60)). Let g = q - -127\/2. Sort g, -2, -4 in decreasing order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 46a + -1?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {j: 2, p: 2, t: 1, q: 8}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -234 divided by -6?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/7 in 4, 1, 3, -3.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2389692 a multiple of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 130290*j - 3858*j**2 + 130282*j + 1 - 260572*j to x + n*j**2 + f*j and give n.\nAnswer: -3858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 24 = 3*a. Let s(m) = 10*m - 17. What is the tens digit of s(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.7121883 minutes?\nAnswer: 42731.298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, n: 7}. Give prob of picking 4 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 423352 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102 = -39*s - 12*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 213400179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -9*k**2 - 23*k + 5. Let v(a) = -13*a**2 - 34*a + 7. Let w(i) = 7*p(i) - 5*v(i). Let r be w(-5). Solve s + 2 - r = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -490*o + 14739. What is s(30)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 12*f**2 + 22*f - 52. Calculate o(11).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -6*q**3 + 35*q + 5. Let x(s) = -21*s**3 + 123*s + 18. Give -18*j(o) + 5*x(o).\nAnswer: 3*o**3 - 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3754 and -75011077?\nAnswer: 75011076.6246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1476653*z**2 + 69609 wrt z?\nAnswer: 2953306*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -12059.122 - -9.6?\nAnswer: -12049.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-15)\/40)\/((-25)\/140))\/((-24)\/(-16))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3865 is divided by 1930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 220*h**3 + h**2 - h + 1. Is w(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -593923 + 5330612\/9. Suppose -28*d + 24*d = 6556. Let p = d - l. Are p and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 296  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2359, 15932, 38553, 70222, 110939, 160704?\n\"Answer: 4524*a**2 + a - 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1640\/28 + (-8)\/14 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 112 + -76. Let a = 38 - i. Let p(s) = -3*s**2 + 2*s + 2. What is p(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 869654083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 322664473, 645328946, 967993419?\n\"Answer: 322664473*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -688a31 - 8?\nAnswer: -688a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2818*f + 2892*f + 148 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -2*n**3 - 3*n**2 + 52*n - 368. What is w(7)?\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-98)\/21)\/(196\/(-84)). Solve -23 - p = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5104717790 to the power of 1\/2, to the nearest integer?\nAnswer: 71447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -17*8\/27 - -5. Let z = x + 61\/189. Which is the nearest to 1\/7?  (a) z  (b) -5  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6, 1 in descending order.\nAnswer: 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 301 = 42. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -32 - 38. Let n be -1 + 2 + 3\/1. Let c be 498\/21 + n\/k. Calculate the highest common divisor of c and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 4:29 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18482 is divided by 313?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 8*i = -24 + 141. Solve 0*h = -h + 5*v - 17, 3*v = i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 47.\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3040572*d*h + h + 155893 wrt d?\nAnswer: 3040572*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25*(118 + -124)\/(6\/(-1))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -68040 rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45 by 163737.\nAnswer: -5\/18193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-8) - 148\/(-192). Let w = y - 15\/16. Let j = -13\/9 - -38\/45. Which is the second biggest value?  (a) 5  (b) j  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 3:08 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11e42 - -d6e?\nAnswer: 12cb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of -1547*c**5\/20 - 6757*c**3\/6 - 1753*c**2 + 2*c. What is the derivative of f(g) wrt g?\nAnswer: -9282*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -512\/129 - -228\/43. Which is the biggest value?  (a) x  (b) 2  (c) -3.1  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 5 = -5*m, o - 4*m - 6 - 8 = 0. Let h(n) = -4*n - 4 + 2 + 3. Determine h(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5116 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -4*t - 26, v - 6*t + 2*t = 11. Let b = -9 + v. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.25 in -2, -1, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 5  (b) -4  (c) 2\/71  (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*c + 13*c - 60. Suppose -3*u - 5*d = -9, -3 = 3*u - 2*d - c. Find the second derivative of -32*n**3 - 18*n + 17*n**u + 5*n**3 wrt n.\nAnswer: -60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*a - 5*z, -5*a + 16*z + 10 = 17*z. Let q be a\/7 + 57\/21. Calculate the highest common divisor of 27 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/60 + (-86)\/(-129)*(-3)\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g**2. Let m(k) = 192*k + 6. Let f(y) = -14400*y - 448. Let n(h) = 3*f(h) + 224*m(h). Give n(x(t)).\nAnswer: -384*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**2\/7 + 216*r\/7 + 5832\/7 = 0.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 10:24 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.28532 decades in centuries?\nAnswer: 0.928532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, z: 1, i: 1}. What is prob of sequence hiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oosoeeese. What is prob of sequence os?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/87 <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/(sqrt(10) + sqrt(60)\/sqrt(6)))\/sqrt(4))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 43038243 + 130938243 = 0. What is t rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.3 - 0.1. Suppose -2*t = 4*o + 10 + 4, 17 = 5*t - 3*o. Suppose j + 0*j = -2. Which is the third smallest value?  (a) t  (b) j  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0*f - f - f)*(4 - 1 - 4) - 4 + 4 + 2*f - 3*f + 0*f + 4*f + 10*f - 5*f - 3*f - 2 + 2*f + 2)*(2 - 2 + 2*f**2) to s*f**2 + a + n*f**3 + g*f and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 556*i - 6. What is the tens digit of n(-38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 4*z. Let y(d) = -6 + 11 - 5 - 32*d + 74*d. What is y(f(h))?\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 - 16*j**2 - 15*j + 7. Let z be v(-15). Suppose 31 - z = 6*o. Suppose 3*f + 9 = 0, -3*w + 476 + 94 = -o*f. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -258 - -162. What is the tens digit of (1\/(4\/y))\/((-3)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-3\/2))\/(x\/x**1))\/x**49*((x\/(x*x\/(x*x**(-1))))\/(x*((((x*x*x**(-1\/4)*x)\/x)\/x)\/x)\/x))\/(x**(-2\/7)\/(x*x**2)) assuming x is positive.\nAnswer: x**(-1231\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Is 785067 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 202540.\nAnswer: 2, 5, 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(3)*-5*-2 - (sqrt(3) + sqrt(36)\/(sqrt(36)\/sqrt(3)) - sqrt(363)*2))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of j**4\/24 - j**3\/6 - 3*j**2\/2 - 2*j. Let n(y) be the first derivative of v(y). What is the first derivative of n(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135*x = 382*x + 109*x. Which is smaller: -2\/915 or x?\nAnswer: -2\/915","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42725*r + 3*r**2 + 2 - 42725*r - 2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**5\/(r\/r**(-3\/11)))\/(((r**(3\/8)\/r)\/r)\/r**(-8)))**5 assuming r is positive.\nAnswer: r**(-1165\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of f**2\/2 + 10*f + 4. Let d(x) = x**3 + 12*x**2 + 11*x - 5. Let m = 5 - 16. Let r be d(m). Determine n(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 + -4. Suppose -6*q = -q - 30. Which is greater: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 1:20 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (54 - 56)*(-2)\/(-8). Let v = -384.8 - -384. What is the closest to z in -3\/2, -4, v, -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176112*o = -171468*o + 501552 for o.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1\/4 + -3\/4. Suppose 0 = q - 2*u + 5 + 2, -25 = 3*q - 2*u. Let r = q + 14. What is the biggest value in r, -1\/4, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -h**4 - 11*h**3 - 33*h**2 - 37*h - 14 = 0?\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2636002 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uexc when four letters picked without replacement from euuxueeece.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(77))\/sqrt(7) - (sqrt(99) + sqrt(99) + (sqrt(99) - ((sqrt(99) - sqrt(99)*1) + sqrt(99)) - sqrt(99)))\/sqrt(9).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 PM and 9:05 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 5*i. Let d(w) = 48*w - 3*w**2 + 50*w + 21*w + 2*w**2 - 85*w. Give g(d(a)).\nAnswer: -5*a**2 + 170*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.02 - -2.98. Suppose 2*v + 4*k - 20 = 0, 2*v + 25 = 5*v + 5*k. What is the third biggest value in x, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(10\/3)*o**(-2\/3)*o**3*o*o*(o\/o**(10\/11))\/o assuming o is positive.\nAnswer: o**(223\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 253 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010001010011111 + 100001110?\nAnswer: -11010000110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 31 = -3*p, 8 = 4*p - 0. Suppose -2*r - 2*r = u + 43, u - 56 = d*r. Which is smaller: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by 9110.\nAnswer: -6\/4555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 2*o - 2*c - 68, -5*o = -4*c - 159. Suppose -o*d - 328 = -80. Let t(h) = -4*h - 8. Let y(u) = 2*u + 4. Let x(i) = 2*t(i) + 5*y(i). Calculate x(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 35 - 55, -5*l - 4*y + 216 = 0. Solve -r = l*r - 123 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 - 7254\/(-180) - 5\/(200\/12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 4 = -4*z. Let b be 4 + z + (-4)\/(-2). Suppose p - 23 = -b*p - t, -3*p - 5*t = -5. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**3 + 51*g**2 - 26*g - 2. Give o(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30480131?\nAnswer: 11, 29, 95549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19687347793 + -2.\nAnswer: 19687347791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1124 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5534315 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p*p**(-2\/5))*p**(-4\/7)*p**(-3)\/(p\/p**(-7)) assuming p is positive.\nAnswer: p**(-391\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j**4\/3 + 3916*j**3\/3 - 169976*j**2\/3 - 43372480*j\/3 = 0. Calculate j.\nAnswer: -83, 0, 142, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6309 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2026*y + 372789. Calculate u(-184).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 0. Let s = -93.65 - -94. Let v = s - 0.25. Which is the nearest to v?  (a) 7  (b) p  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 37636 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -5*g**3 + 91735*g**2 + 5*g - 91735 = 0.\nAnswer: -1, 1, 18347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of g - 105 + 595 - 755 + 0*g**3 - 3*g**3 - 413 wrt g?\nAnswer: -9*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/2674 and -15\/8.\nAnswer: 10696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 19797 times 0.0308\nAnswer: 609.7476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 6:06 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33 + 36. Suppose m - 28 = -5*i - 5, s*m - 4*i = -7. Suppose 429 = 5*r - 4*z, -70 - 18 = -r + m*z. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1527 by -57.\nAnswer: -509\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-15)*230\/(-30)*-3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 289*p - 4 + 2 - 303*p + 5 to h + b*p and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 63 - 60.3. Let n = 0.7 - p. Let r = 0 - 0.1. Which is the closest to r?  (a) -2\/7  (b) n  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**3 - 7*v**3 + 3*v**3 - 3*v**3 + v**3 + 0*v**3 + (0*v + v - 2*v)*(0 + 2*v**2 + 0) - 3*v**3 + v**3 + v**3 - 9*v**3 + 5*v**3 + 2*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 AM and 3:28 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 204, 205, 206, 207?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*a + 408 = 0, 4*g = -0*a - a + 1716. Let t be (-4)\/(-2) + (1 - -356). Let l = g + t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1959907 is divided by 98?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - 2*p + 3*p)*(0 + 1 + 0)*(-27*p - 121*p - 10*p)*(5 - 3 + 2).\nAnswer: 632*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 26 = -2*u, -23 - 9 = 5*u + t. Let a = u + 11. Differentiate 3*v**4 + 2 - a - 2*v**4 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3509*v**2 + 261*v - 261. Let d(f) = -f**3 + f**2 + 14*f + 8. Let j be d(-3). Let s(k) = -27*k**2 + 2*k - 2. Calculate j*a(t) - 261*s(t).\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 136*v**5\/7 + 22210*v**4\/7 - 12000*v**3 - 27730*v**2\/7 - 1336*v\/7 = 0.\nAnswer: -167, -1\/4, -1\/17, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**4\/11 - 316*n**3\/11 - 37446*n**2\/11 - 1972156*n\/11 - 38950081\/11.\nAnswer: -(n + 79)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 4 - g**3 - g - 2 + 11*g**2 - 15*g**2. Let z be n(-4). What is the second derivative of 7*j**2 - z*j - 11*j**2 + 6*j**2 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 76 = -2*u. Suppose -19 = 9*b + u. Let r = 6 + b. Do 2\/51 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -262482 - -148257. Let i = s + 452509. Let j = i - 229284. Round j to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 5*j**2 + 5*j + 4. Let g(m) = 14*m**2 + 14*m + 12. Let w be (-27)\/18*2*-1. Let l(n) = w*g(n) - 8*r(n). What is the tens digit of l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1266, 1866, 2860, 4248?\n\"Answer: 197*p**2 + 9*p + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 8:19 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 54413\/38 + -1432. Let b = u - 143\/114. Let a = 3.5 + -3.2. Put 2, b, a, 4 in decreasing order.\nAnswer: 4, 2, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 + 25*i**2 - 186*i - 8. Let c be w(-31). Let l(y) = y**2 + 11*y + 13. What is l(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3299471 + -2.\nAnswer: 3299469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 minus -0.2281?\nAnswer: 5.2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -501, -1167, -1803, -2409?\nAnswer: -2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 6 = 5*p - 2*p, 5*j - 37 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 1 = 8. Let u(w) = -5*w**4 - w**3 + 8*w**2 - 5*w - 3. Let h(q) = 10*q**4 + 3*q**3 - 17*q**2 + 11*q + 7. Let l(o) = i*h(o) - 7*u(o). Factor l(x).\nAnswer: x*(x - 1)*(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-14) + (-246)\/(-21). Suppose a = 2*g + g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 - 16 - 24 - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (792\/135 + (-24)\/(-180) - 11) + -8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -2617?\nAnswer: 1046.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3*(3*(sqrt(288) + -2) - sqrt(288)))**2.\nAnswer: -32076 + 7776*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.71, -5, -1.73, -0.9, -0.5 in descending order.\nAnswer: 1, 0.71, -0.5, -0.9, -1.73, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from afffaa. What is prob of picking 3 a and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 70 = -458. List the prime factors of s.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b - 314739b?\nAnswer: -3147390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179767 is divided by 844?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -63 + 91. Let m be (z\/7 - (5 + -1)) + 4. Put -1\/15, 1, m, 0.1 in ascending order.\nAnswer: -1\/15, 0.1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 700109 + 4554686. Suppose 29*r - v = -44688. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -561*j + 215. Is u(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**5 + 2*a**5 + 0*a**5 + (6*a - a**2 - 6*a)*(2*a + a - 4*a)*(-2 + 2 + 3*a**2) - a**5 + 4*a**2 + 0*a**2 + 0*a**5.\nAnswer: 5*a**5 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -53666.1 smaller than 25\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 368 + 490*m + 201 - 87 + 483*m - 968*m to v + f*m and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 74 and 291671?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 - 4*b - 5. Let p be n(6). Suppose 3*x - 5*l = p*x - 12, -6 = -2*x + 4*l. Suppose 9 = 4*t - x. Solve -2*v = k, -2*v - t*k + 1 - 9 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.092 + 1.092. Let l be (-1 + 0)*3\/15. What is the third smallest value in h, -0.02, -5, l?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1075*w + 3243*w + 1107*w - 371*w - 368942 = 0 for w.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 85 + -70. Let m(v) = -2*v**2 + 10*v - 8. Let o be m(4). Solve -5*s + 3*n - 9 = o, -6*n + f = s - n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*y**2 - 20*y**2 + 2*y**2 + (-y - 4*y + 4*y)*(-4 + 4 - 2*y) - y**2 + 0*y**2 + 0*y**2 + 0*y**2 + 5*y**2 - 4*y**2 as q*y + h + m*y**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - 6*j + 2*u - 3, -4*u + 18 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23724 - 1423403\/60. Find the common denominator of 41\/36 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 401.\nAnswer: -3\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 185 = -5*n, -11*b - 5*n = -15*b + 153. What is the remainder when 62 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3*p + 2 - 6*p)*(-2 - 3*p - 4 + 3).\nAnswer: 27*p**2 + 21*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiiiiiii. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 13583039*n**2 + 13583037*n - 2 = 0.\nAnswer: -1, 2\/13583039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 25 or 19?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2092, -0.5, -20, -16 in decreasing order.\nAnswer: -0.2092, -0.5, -16, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 1\/3, -2\/5, -0.2, 0.089?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -332 + 252 - 2*u**2 + 4*u**2.\nAnswer: 2*u**2 - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 2*t + 30. Let z = 53 - t. Calculate the common denominator of -55\/14 and z\/4*(-1)\/5.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8*((-25)\/(-4) - 3). Suppose -d + 5*j + w = 0, -4*j + 54 = 4*d + j. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.45 times 0.3\nAnswer: -0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**6\/60 - l**5\/60 - l**4\/12 - l**3\/6 + 6*l**2. Let p be r(2). Suppose 8 + 27 = 7*b. Solve -3*t - b = p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6*(-2)\/8)\/3. Let v = 13\/10 + -4\/5. Suppose 2*s - 3*k - 4 = 0, -4*s + 1 = -3*k - 1. What is the closest to v in s, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 232007624 to the power of 1\/2, to the nearest integer?\nAnswer: 15232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -45\/14 - 114\/7. Let u = -1308785383\/1185060 + 829\/39502. Let o = -3316\/3 - u. Calculate the common denominator of o and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/36  (b) 6  (c) 25  (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {i: 1, m: 1, v: 2, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3877, 3881, 3887, 3895?\nAnswer: 3905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 11:18 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -4*p**2 - 2 - 3*p - 74*p - 13. Let y be h(-19). Solve -d = -3*d - 3*s + 12, 2*d - 16 = -y*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -51\/20  (b) -854  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4157288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 617712 to the power of 1\/2, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1321755567.6 rounded to the nearest ten thousand?\nAnswer: 1321760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 1202001201222221?\nAnswer: -1202001201222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*n + n - 2*n - 3*n + 32.\nAnswer: 2*n + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.046 + -0.154. Let y = -7.7 + 0.7. Let o = y - -7.2. What is the nearest to v in 4, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*b - 3 + 3)*(31*b - b - 5*b) + 2*b**2 - 2*b**2 + b**2 as p + d*b**2 + j*b and give d.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-7) - (0 + (-12066)\/(-42)). Let p = 377 - y. What are the prime factors of p?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -494*g + 30. What is the units digit of p(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7722502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -7 + (5 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44158.044603 - 44158. What is u rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20229831?\nAnswer: 3, 137, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f**3 + f**2 + f + 1. Let r be l(-1). Let i = 277 + -249. Calculate the highest common factor of r and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -792  (c) 0  (d) -2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x**2 - 3*x + 1. Let p(t) = -3*t**2 + 4*t - 1. Let m(v) = -4*n(v) - 3*p(v). Let b be m(0). Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 - 63*l + 108. Calculate the least common multiple of 48 and c(-60).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10225445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2*(d*d**(4\/9)\/d)\/d*d**(-3\/7)\/(d**(-3\/7)*d))**(-6\/13) assuming d is positive.\nAnswer: d**(-8\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 299511\/1330 - 1126\/5. Let u = 2537\/2660 + a. Calculate the common denominator of -17\/6 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34483.34 + 14\nAnswer: 34497.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 208 a factor of 10816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 + -2)\/(-8) + 33\/4. Suppose 57 + 143 = v*t. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2*(-1 + sqrt(162)) + (sqrt(162) - (sqrt(162)*1 + sqrt(162)))*3 + 4*(sqrt(162) + -2*sqrt(162))*2))**2.\nAnswer: 11664*sqrt(2) + 472536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -s**5\/20 + s**4\/2 - 5*s**3\/6 - 3*s**2 - 11*s. What is t(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 530749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 2.086, 0.074, 2?\nAnswer: 2.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6108007629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1993213?\nAnswer: 137, 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3590*c**3*f**2 + 2*c**3*f + 6*c**3 - 2211*c**2*f - 2*f wrt f.\nAnswer: -7180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 0 + 1)*(4 - 6 + 4) - 7 + 2 + 3)*(2*s**3 + 0*s**3 - 4*s**3).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**2 - g. Let o(r) = 5*r**4 - 530*r**3 + 20172*r**2 - 317446*r + 1638400. Let f(y) = -o(y) + 6*p(y). Factor f(k).\nAnswer: -5*(k - 32)**3*(k - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 * 31.67\nAnswer: 886.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -47*i - 30. Does 26 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1182\/1970*-5*9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*t = 13*t. Suppose 0 = 8*z - 5*z + 2*h - 102, -3*h - 9 = t. Find the common denominator of z\/18 + (0 - (-39)\/(-10)) and -9\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3100028 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 121 and 495?\nAnswer: 5445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 616 and 1587213?\nAnswer: 977723208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -g**8\/6720 - g**7\/420 - g**6\/720 - g**5\/120 - g**4\/12 - 3*g. Let s(v) be the third derivative of u(v). What is s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 33  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-168 - 1)\/(-1) + 2\/(-1). Let g = 165 - z. Let w(q) = q**3 - q + 1. What is w(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2665.\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -94 + 77 - (-220 - -129).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -85 (base 15) to base 5\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 63*f**2 + 1 - 30*f**2 - 29*f**2)*(0*f + 2*f - 6*f).\nAnswer: -16*f**3 + 4*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 84 - 74992.\nAnswer: -74908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p**(-3\/4)\/p*p))\/p)\/p**(-4\/5) assuming p is positive.\nAnswer: p**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 20 = w. Let l(m) = -m**3 + 4*m**2 + 7*m - 5. Does 5 divide l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 495\/220*368\/(-144)*8?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -645 - -642. Let j(u) = -10*u**3 - 15*u**2 + 4. Let x(y) = 2*y**2 - 2*y + 4. Calculate the remainder when j(z) is divided by x(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k = 6*k + 31. Suppose -k - 32 = -3*d. Let l = 74 - d. Calculate the remainder when l is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 1) + -3 + -4 + (93 - 98) + 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11440*n**5 - 686460*n**4 - 1985580*n**3 - 1483295*n**2 - 333765*n - 1710 = 0. What is n?\nAnswer: -57, -2, -1\/2, -3\/572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do 67 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 193963 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 450036424 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.295 - 0.005. Which is the nearest to r?  (a) 1  (b) -0.4  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 10*x = -56. Let q be (x + -8)\/((1 + -2)*1). Suppose q = -h + h + 3*h. Solve h = -5*n + 10 - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 994266 divided by -39?\nAnswer: -25494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -8*l + 498. List the prime factors of l.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(576) + sqrt(576)*-2 + sqrt(100)*3 + sqrt(100))\/(-3*sqrt(8)\/sqrt(4)*1*3).\nAnswer: -8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000001001 (base 2) to base 15.\nAnswer: -24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 13) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/5 + 30024*r\/5 + 1023128\/5.\nAnswer: -2*(r - 15046)*(r + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -180*v + 391. Let w(c) = -313*c + 781. Let x(u) = 7*l(u) - 4*w(u). Give x(-49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 38*l + 940. Determine r(-21).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*d - 16 = -20*d - 2*j, 3*d - j = 27. Suppose -3*h - d = y, -43*y - h - 25 = -47*y. Solve -y*a + 10 = -5*p, a - 2*a = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 - (65 + -61) - (-2 + -25).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91419381 and 921?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 389864*p. Let c(k) = -8*k**2. Calculate x(c(t)).\nAnswer: -3118912*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5846860.4497 + 0.04.\nAnswer: 5846860.4897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of z**5\/10 - z**4\/8 + z**3\/3 + z**2 + 19*z. Let a be u(1). Let b(y) = -y**3 + 6*y**2 - y - 12. Give b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - 4*z**2 + 2*z + 2. Calculate o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54200 (base 9) to base 14.\nAnswer: d111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*c + 2*h + 71, 38024 - 38734 = -4*c + 30*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14 - (0 + 5)) + (-11 - -12 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2951 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 12 = -n, 3*o = 2*n + 8 + 1. Let h(u) be the first derivative of -2\/3*u**3 - 1\/2*u**2 + o + 0*u. What is the second derivative of h(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.749133 - -15.752693. Let m = u - 15. Round m to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**2 - 19564 + 19564.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 5. Solve x*h + h + 2*o = 0, 4*o = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 7 + 5. Let i be n\/(-20)*(-10)\/2. Solve p = i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3002 = q - 4*q, -v = 5*q + 4996. What is the thousands digit of (-6 - (-7 + q)) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -6*k**2 + 34*k - 8. Let h(r) = -13*r**2 + 64*r - 19. Calculate 2*h(x) - 5*j(x).\nAnswer: 4*x**2 - 42*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -151583*x*z**4 - 12*x*z**2 - 5358*x*z + x - 4*z**4 - 3*z wrt z?\nAnswer: -3637992*x*z - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*u - 589 = -232 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7282 * 23.\nAnswer: -167486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 2*o**4\/11 - 138344*o**3\/11 + 276682*o**2\/11 - 138340*o\/11 = 0.\nAnswer: 0, 1, 69170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1513*-0.1.\nAnswer: 151.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 8, 4, -31, -7, 9 in ascending order.\nAnswer: -31, -7, -5, -1, 4, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 4*r + 2. Let u(y) = 11*y + 6. Let l = 9 - 9. Suppose l*g + 2*g = 12. Determine g*u(f) - 17*d(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/(-4)*(-1425)\/(-60) and ((-52)\/(-110))\/(1\/(-5))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6780, 6777, 6774, 6771, 6768?\n\"Answer: -3*g + 6783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 < 223\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxkxkxxxxkkxkkk. Give prob of sequence xxkx.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-76)\/6498*19*19\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a millennium in decades?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w + 114 = 458. Let c be (-102)\/(-117)*w + (-2)\/13. Factor -2*p - c*p**3 + 0 + 32\/3*p**4 + 50\/3*p**2.\nAnswer: 2*p*(p - 3)*(4*p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 - (-6 - 7 - -6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 926 - 926.04. What is the closest to f in -4, 0, 2\/7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - (-7 + 8)*-4. Solve v = w - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.06514604 to 4 decimal places.\nAnswer: 5.0651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + t = 4*d + 17, 2*d = t - 7. Let s(j) = 2 - 2 - t*j - 5*j. Let k be s(-1). Solve 7 + k = 5*r + 5*a, 3*r = -2*a + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-16)*(0 - -1). Let v = 1.203 + -100.503. Let s = 99 + v. Is s < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2907  (b) -4  (c) -3  (d) -9  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8489 and 501504.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 12:47 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 6*f - 4 + 3*f**2 - 2*f**2 - 3*f. What is the remainder when v(6) is divided by ((-2)\/(-3))\/((-16)\/(-408))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 11 = -3*j, 0 = 2*j + y - 11 - 8. Suppose -6*t - 126 = -j*t. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 139690 - 5690. Round p to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 448300913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/g**11*g)\/(g\/(g**(-1\/19)\/g)))**(33\/4) assuming g is positive.\nAnswer: g**(-6303\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 116 - -175742?\nAnswer: 176060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 + -9. Suppose -5*d + 26 = -0*d + 3*s, -d - 2 = -l*s. Solve -k = d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4231*c + 8733*c - 4506*c - 20.\nAnswer: -4*c - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9105, -9116, -9135, -9162, -9197, -9240?\nAnswer: -9291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 3 = 5*n, -5 = -n - 14*y + 15*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) -33  (c) -3  (d) 173  (e) -0.094  (f) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6536325409.\nAnswer: 191, 34221599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*u - 63*u = -2*a - 78, -2*a = -3*u + 114. Calculate the remainder when 716 is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*d**2 + 6*d - 35*d**2 + 80*d**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -761496*y + 5330484. Determine g(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 - z + 1. Let s(n) = -4*n**2 - 8*n + 8. Let o(j) = s(j) - 8*u(j). Let v(p) = 3*p. Determine o(v(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 20144.74822 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -81, 19, 2, 3 in descending order.\nAnswer: 19, 3, 2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 195 - 194. Let z = -8 - -11. Suppose 1 = z*q + 4. Which is the nearest to w?  (a) -0.2  (b) 0.1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1332028390 to the power of 1\/3, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -310278.2.\nAnswer: 155139.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 56*y - 212. Let w(x) = 2*x**2 - 54*x + 210. Let l(i) = -3*c(i) - 2*w(i). Factor l(s).\nAnswer: -4*(s - 3)*(s + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/8 - 18\/(-4). Suppose 17 = -o*z + 2. Are -3 and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53\/92 - 19\/23. Which is the closest to 0?  (a) l  (b) 2\/5  (c) 1\/5  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 10:50 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jcdj when four letters picked without replacement from dsdddujjdsdcjjj?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -5*z + 15344985, -2*p + 0 = -6. What is z rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*w - 3*w + w + (170 - 172 + 5*w + w)*(1 + 3 - 3) in the form m*w + k and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.4, 3879, -1, 109\/16, 1\/3 in descending order.\nAnswer: 3879, 109\/16, 2, 0.4, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -4 - (-174 + 182)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eiiihich. What is prob of sequence hhei?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - y - 3 + 4 = 0, 0 = 6*c - y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -27*u - 2. Let c(k) = 37*k + 2. Let p(f) = 3*c(f) + 4*y(f). Let w(g) = 12*g - 8. What is -9*p(o) + 2*w(o)?\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3397 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2478, -9905, -22284, -39615?\n\"Answer: -2476*l**2 + l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2377, -2334, -2293, -2254, -2217, -2182, -2149?\nAnswer: -2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 923*u**3 - 444*u**3 - 440*u**3.\nAnswer: 39*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 9*a**5 + 90*a**3 + 2572*a - 3. Let c(p) = p**5 + p**3 - p + 1. Let b(n) = 3*c(n) + d(n). Find the second derivative of b(l) wrt l.\nAnswer: 240*l**3 + 558*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-16)*(3 - (-24)\/(-16)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2d2 (base 15) to base 4.\nAnswer: 22013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cmadwwscmwsacs. What is prob of sequence aaw?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -151 - -195. Let d = h - 37. Which is bigger: 0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - i + 19, -2*v = -4*i + 6 + 10. Let a(o) = 23472*o**2 + o + 14. Let y be a(v). What is y rounded to the nearest 10000?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = -16*t + 26*t - 32. Let i(w) = -w**2 + 1. Let r(v) = 6*v**2 + 8*v - 8. Let f(q) = 5*i(q) + r(q). Calculate f(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51133 (base 6) in base 4?\nAnswer: -1221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 189010 and 13940?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-10)\/(-20))\/((-2)\/(-200)). Suppose 61 = 3*o - f. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 - 102*r - 208. What is z(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38134328, -76268645, -114402960, -152537273, -190671584?\nAnswer: -228805893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b\/b**(1\/2))\/b*b)\/b*b)**(1\/57)\/(b**(1\/3))**(6\/13) assuming b is positive.\nAnswer: b**(-63\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 182 - 180. What is the closest to x in 3\/5, -3, -0.4, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 + 12*t**2 - 9*t - 27. Calculate z(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31253359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 212111021 (base 3) to base 13\nAnswer: 7a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -80 - -82. Sort w, -5, -1, -3 in decreasing order.\nAnswer: w, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30801 - -30798. Sort -66, z, 7 in decreasing order.\nAnswer: 7, z, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 0.5634, 0.2, 21, 1\/6, -1\/3, -7\/13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + g = 2 - 10, a - 22 = -4*g. Let k be ((-4)\/a)\/(4\/42). Let c be (-4 - -7) + k\/3. Sort c, -1\/7, 0.4.\nAnswer: -1\/7, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 9:44 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 5:24 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + m**2 - m + 1. Let z be t(1). Suppose 2*x = 5*j + 34, -6*j = 4*x - 3*j - 68. Solve z = s + i - 5 - 2, i - x = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -45276533, -45276534, -45276535, -45276536?\n\"Answer: -k - 45276532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/(-63)*28\/(-24)*(-1 + 75)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -197*v**3 + 201*v**3 - 2*v + 2*v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 48 or -6777?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -200341240 (base 5) in base 2?\nAnswer: -11000001101011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, n: 1, k: 1, j: 5, v: 1}. What is prob of sequence kjvw?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cmmicimiccicc. Give prob of picking 2 m and 2 c.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12223 - -311?\nAnswer: -11612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-12)*(-1152)\/9936?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 2*v + 5. Let y be x(0). Solve -t = -3*h + y, 5 = 5*t - 5*h - 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 7*i**2 + 5*i + 8. Let r be u(-8). Suppose 2*o - r - 10 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11314067 + 11314085.800516. Let q = t + -18.8. Round q to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 809a09?\nAnswer: 809a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156*i - 97*i = -177 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of 1\/6*k**4 + 1\/15*k**5 + 1\/6*k**3 - 3*k**2 - 1\/120*k**6 + 0 + 0*k. What is i(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28668736 and 11940.\nAnswer: 430031040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**3 - 12 + 9 - 5 + 2*r**2)*(-r - 2 + 2).\nAnswer: -4*r**4 - 2*r**3 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11856, 23713, 35604, 47547, 59560, 71661, 83868, 96199?\n\"Answer: 3*d**3 - d**2 + 11839*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/35)\/((j**1\/j)\/j))\/(j**(-25)\/j**(3\/4)) assuming j is positive.\nAnswer: j**(3753\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 43*v + 2373. Let d be y(-50). Solve -6*a + 259 = d for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/3 + 28*p + 370\/3.\nAnswer: 2*(p + 5)*(p + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 432\/12 + (0 - 2). Suppose 7*a = 8*a - x. What is the greatest common divisor of 51 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125452 = 4471*h - 75743 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/7 - 240\/(-7). Let v(w) = w**3 - 8*w**2 + 9*w - 2. Let l be v(6). Let h be (l\/6)\/((-4)\/6). Solve 2*n = 5*f - 3*f - 4, -3*n + c = h*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tftllvflfvljftjlfj. What is prob of sequence tl?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 3*j - 1254 = 0, 4*p - j - 527 = 1130. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1556502444 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -102  (b) -1\/6  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*w = 9*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {c: 4, v: 2, i: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n**2 + 30*n - 58. What is h(-10)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*f**2 + 193939*f - 3307656 = 0 for f.\nAnswer: -194568\/37, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 8 = -0*m. Suppose -v - 5*d - 2 = 4, 0 = m*v + d - 6. Solve -v*x + 20 = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 6*d**2 - 4*d + 69. Is b(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + 487*o + 40393. Determine j(-106).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 831*r**4 + r**3 + 2025*r**2?\nAnswer: 19944*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - d - 5. Let c be z(0). Let o = -0.09 - -0.01. Let u = o - -0.18. What is the second biggest value in 1, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-1\/9))\/(s**(-9)*s)*s*s\/(s\/(s*s*s**6)*s)*s**(2\/5) assuming s is positive.\nAnswer: s**(788\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -4 - 28. Let o = 29 - j. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/31241818 and -85\/2?\nAnswer: 31241818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 284*w - 1402*w + 33572 = 408*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -63, -65, -69, -75?\n\"Answer: -k**2 + k - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1015706250 a multiple of 1374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 157\/21 + -50\/7. What is the second smallest value in 1\/4, h, 5, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -974*r**2 + 106*r**4 + 101*r**2 - 107*r**4 - 1340*r**2 + 698*r**3 wrt r.\nAnswer: -24*r + 4188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1442 + 5726 = 99*n - 1841 for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 1176.723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 + 1861000410?\nAnswer: 1861000410.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 539 = -24*h - 52*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/5588 and -13\/164.\nAnswer: 229108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 139 + -138.5. What is the closest to 1 in -1\/3, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 810010526?\nAnswer: 2, 13, 17, 1049, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -117*8\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -w**3\/6 + 3*w**2\/2 - 4*w. Let c be o(0). What is the second derivative of 6*f**3 + 6*f - 3*f**3 - 2*f**c + 4*f**3 wrt f?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3160\/482013 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 21105 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 - 11. Let i = a - 18. Sort i, -3, -4 in descending order.\nAnswer: -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**5\/60 + j**4\/24 - 4*j**3\/3 + 47*j**2 - 9. Calculate u(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.142271 rounded to 3 dps?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5114176 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 = 4*j + 111 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*y + 10*y + 10*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 98 - 110.2. Let f = a + 11.2. Let w(u) = -u**2 + 1. Let n be w(-2). Put 2\/9, n, f in decreasing order.\nAnswer: 2\/9, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -s + 234, -2*s + h + 417 = -30. Calculate the highest common factor of s and 2775.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 50659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, j: 2, d: 1, o: 1, v: 8, e: 3}. Give prob of sequence evdj.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1358, 10811, 36474, 86453, 168854, 291783, 463346?\n\"Answer: 1351*k**3 - k**2 - k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/1312 and -93\/18949216?\nAnswer: 18949216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -90.5 times -75828?\nAnswer: 6862434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/7)\/(-1*-10*18\/(-315)). Which is the nearest to -2\/7?  (a) d  (b) -7  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 16\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 0 + 4 = 4*q, 4*f - q = 11. Let j = 47.9879 - 52.9879. Which is the third smallest value?  (a) 1  (b) f  (c) j  (d) -46\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 68084286.3 to the nearest ten thousand.\nAnswer: 68080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j**2 + 9*j**2 + 7*j**2 - j**2 - j**2. Let w(p) = -19*p - 20*p - 31*p + 62*p. What is r(w(i))?\nAnswer: 704*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15120 and 1260.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = y + 17, -74 = 19*y + 2*s - 111 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 559 bigger than -21.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 + -1 - 83)*10\/(-4). Suppose -1 - 4 = -g. Suppose 5*i = p - g. What is the highest common factor of i and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*(3\/(-2) - -1). Let t(y) be the second derivative of -y**3\/2 + y**2\/2 + 4*y. Let q be t(d). Let x(n) = n**3 + 6*n**2 + 6*n + 7. Give x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 1)*(-78*k - 20*k + 335*k).\nAnswer: 237*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 22 + 75)*(-5 + 1 + 2)*(0 - h + 0) in the form w + o*h and give o.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.008 + -1.852. Let d = -1.336 - c. Let f = 0.46 - d. Round f to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 87785*n*w**2 + 38*n*w - 4*n - 24*w wrt w?\nAnswer: 175570*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 58, 94, 134, 178, 226, 278?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -102 - -96. Let j be (3\/6)\/(u + 115\/20). Put 3, 0, j in decreasing order.\nAnswer: 3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 1210*r**4 + 1208*r**4 + 2*r - 2417*r**4 to m*r**4 + b + h*r**3 + g*r + t*r**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/((-2)\/2 - 0). Let l = w + 2. Solve c + 3 = -l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f - 1. Suppose -14 + 6 = -4*h. Let n(l) = 3*l. Give h*y(p) - n(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208061 is divided by 26006?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 904610 divided by 5?\nAnswer: 180922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -21 - j + j**2 - 37 + 27 - 6*j + 26 - 2*j**2. Let i(p) = 4*p**3 + 2*p - 1. Let b be i(1). Suppose -b*q - 25 = 5*w, 5*q + 2 - 26 = 2*w. Give h(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 85 - 85.091. Let b = p + 0.1. What is b rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.61 at most as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + (0 - -3) + 4. Let a be 15 - -2*(-4)\/h. Suppose 62 = 4*c - a. What is the remainder when 32 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400*a = -86*a - 0*a + 9720 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.4 + -0.2. Let h = 1.6 - 1.55. Let v = 1.95 + h. Put k, -4, v in decreasing order.\nAnswer: v, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 + -23. Suppose -83 = -c*i - 4*u + 95, -5*u + 10 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 5. Let p = -1 + v. Let z + 12*z**3 + 8*z**4 + 6*z**p - 4 + 4 = 0. Calculate z.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 11, 17, 23?\n\"Answer: 6*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2984580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -7534.2372 to the nearest 100.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**4\/9 - 88*g**3\/9 + 8524*g**2 - 537768*g + 529254 = 0 for g.\nAnswer: -243, 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 68\/45 and 73\/311454.\nAnswer: 1557270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.81  (b) -1\/171  (c) -0.1  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2385, 1, -0.5 in descending order.\nAnswer: 2385, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1356 and 961178?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 9 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11331 - -71?\nAnswer: 11422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2761, -5479, -8157, -10795, -13393, -15951, -18469?\nAnswer: -20947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7986b (base 12) in base 3?\nAnswer: -22020010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*11\/(-22))\/(-4 + -3 - -15).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47617 is divided by 4725?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -v**7\/840 + v**5\/20 + v**3 + 10*v**2. Let b(q) be the first derivative of k(q). Find the second derivative of b(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-56)*4\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -603914?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 11 - 16 - 3*p + 654*p**2 + 8. List the prime factors of b(1).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 - h**2 + h + 2043. Let r be s(0). Let o = r + 358. Let f be o\/(-2) + (-6)\/(-12). What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3679, 5248, 39411, 111428, 233917, 419496, 680783, 1030396?\nAnswer: 1480953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 + 6)\/(1 + 0). Let y be (-2)\/v + 24\/(-15). Let m = 1167\/88 + -150\/11. Which is the second biggest value?  (a) m  (b) y  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 434*i - 4106. Determine x(11).\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 - 2*w**2 + 2*w - 1. Let v(s) = 1760*s**3 + 8*s**2 - 8*s + 4. Give 4*n(q) + v(q).\nAnswer: 1756*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 4, -4, 0 in descending order.\nAnswer: 4, 0, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 10) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -564*j - 53. Let y(u) = -186*u - 17. Determine -6*f(g) + 19*y(g).\nAnswer: -150*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9291868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (29\/5)\/(((-24)\/270)\/((-28)\/63))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 40, 62, 84, 106?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ugauuugga. What is prob of sequence ug?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19353 - 19818. What is the closest to 2\/3 in 7, m, 1\/2, 4\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 + 6 = 3*w. Let s = 23 + w. Let h = 17 + s. Round h to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7770763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*l - i + 16, 8 = 5*l - l - 4*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) 3  (c) -0.053  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -5. Let i(z) = 11*z + 2. Does 12 divide i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 781 a factor of 5688023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jmd when three letters picked without replacement from {m: 3, w: 1, j: 1, d: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/((-3)\/2))\/(686\/1029).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (13 - -20 - 17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1641 a factor of 2846166810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooooooooo. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*a + 8550 = 25*a - 263*a for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 47459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -11, -15, -27, -53, -99, -171, -275, -417?\n\"Answer: -h**3 + 2*h**2 - 3*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + r - 2*r)*(-12 - 17 + 7) + (-2*r + 5*r - r)*(2 + 1 - 4).\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 2*s - 82. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 27 * 0.2.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 8*x**2 + 13*x - 13. Let u(h) = 4*h**2 + 6*h - 6. Let g be 2\/4*6 + -24. Let s be (g - 5)\/2*(1 + 0). What is s*u(o) + 6*y(o)?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of 0*n**3 - 1\/12*n**4 + 1\/360*n**6 + 0*n + 0 - 1\/36*n**5 - 24*n**2. Factor r(i).\nAnswer: i*(i - 6)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 113245335271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g*x**5 + g*x**3 + 114*g*x**2 + 6*g*x - 66269*x**5 - 2*x**2 + 2*x wrt x.\nAnswer: 60*g*x**2 + 6*g - 3976140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 6*n**2 + 6*n + 8. Suppose 27 = 5*w - 8. Determine l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.74507938 + -1\nAnswer: -0.25492062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 10 - 5 = 0. Let y(p) = -95*p**2 - 99*p + 1. Let x be y(-1). Sort -1, x, n in decreasing order.\nAnswer: x, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9.02 and -5.\nAnswer: -45.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00058454 to 5 dps.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-25)\/10)*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z*z**6*z*z\/(((z*(z\/z**(-7))\/z)\/z*z)\/z)*z*z**(5\/4)*z*z*z*z*z*z**2*z assuming z is positive.\nAnswer: z**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 42*3\/(-12)*(-8)\/(-6). Suppose -2*w + 4*o + 20 = 0, -3*w + 6*w - 38 = 2*o. What is the remainder when n\/21 + (-124)\/(-6) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/3*(-111)\/(-148))\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -201 + 336. Suppose -27*j + 33 = q - 25*j, 4*q + 5*j = r. What is the remainder when q is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 - 32*q**2 - 43*q + 89. Calculate n(-29).\nAnswer: -1187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -945*g**4 - 11467*g**3 + 863236*g + 3 wrt g?\nAnswer: -11340*g**2 - 68802*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 2*i. Suppose i = -2*t + 12 + 62. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11592?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 4*j + 37 - 11, 0 = 5*o - 3*j - 38. Solve -3*i - 5*w - 14 - o = 0, -3*i = -2*w + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22178980601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r + 5*r + 900 = 0. Suppose 2*g + 0*g = 5*q + 72, -r = -5*g + q. Let o = g + -6. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 132*b - 5388 = 134*b, -5*h + 3*b = -6735. What is the smallest common multiple of 147 and h?\nAnswer: 66003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 + 9. Do 35 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 200663\/6 - 33444. Which is the biggest value?  (a) 355  (b) y  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 2*o**2 + 3*o - 1. Let b be z(-3). Let n be 2\/(b - (-6)\/4). Let m = 24 - 14. Solve -2*j = -n*j - m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w - 2*w**2 + 2*w. Suppose -5 = 5*r - 35. Let o(g) = 6*g - r*g + 6*g - 4*g. Calculate d(o(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 14509059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 972543 and 353652.\nAnswer: 3890172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4*sqrt(243))\/sqrt(9) - (-5 + sqrt(48) - (sqrt(3) + ((1*sqrt(30))\/sqrt(10) - sqrt(3)))))*5*-2)**2.\nAnswer: 9000*sqrt(3) + 26800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1247 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -95, -4, -26, 2, -2 in increasing order.\nAnswer: -95, -26, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1127*f = 4*j + 1124*f + 15, -3*j = -5*f + 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2*x + 6. Let w be k(2). Which is the fourth biggest value?  (a) w  (b) 16  (c) -3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13\/5 or -4?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3630 + -4620?\nAnswer: -11550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w - 7. Let r be c(-4). Let x(q) = 2*q**3 - 7*q**2 + 10*q - 3 - q**3 + 4*q**3 - 4*q**3. Let d(z) = -z + 1. Let a(i) = r*d(i) - x(i). Determine a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129311882 less than -0.196237?\nAnswer: -129311882.196237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r + 2. Let c be u(1). Suppose 5*n - 20*f = -21*f + 12, 3*f - 6 = -5*n. What is the nearest to c in n, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (9\/(-2))\/((-3)\/4). Let w be m\/21 + 3\/14. Let d = -25 + 25.3. What is the nearest to -0.1 in -1\/4, d, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, f: 4, u: 2, c: 2, w: 1, v: 2}. Give prob of picking 1 x, 1 u, 1 v, and 1 w.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -39\/46?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -201*a + 2525 = 18605 for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -10512*w**2. Let v(f) = -7*f**2 + 1. Calculate v(o(c)).\nAnswer: -773515008*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 134*l + 226. Let k(q) = -45*q - 83. Let n(o) = -11*k(o) - 4*t(o). Let b(i) = -21*i + 5. Give 11*b(d) - 6*n(d).\nAnswer: 15*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 64 = 9*n. Let d be n\/10*5*2. Calculate the highest common divisor of 136 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -46029\/31 - -1485. Let q = c - 17\/248. Let y(x) = x**3 + 5*x**2 + 3*x - 5. Let k be y(-4). Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6036 - -6035.8. Let k = 12 - 15. What is the nearest to a in k, -1\/6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16698030 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-28*a - 86*a - 405*a)*(0*a + 0*a + 3*a) as y*a**2 + j + o*a and give y.\nAnswer: -1557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**3 + 30*z**2 + 35*z - 300.\nAnswer: -5*(z - 5)*(z - 4)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccccccccccwcccc. Give prob of picking 2 c.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q + 409 - 822 + 412.\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {u: 1, r: 1, a: 1, n: 1, f: 1, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 3:07 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(8064) + 1*sqrt(8064)))\/(sqrt(80)\/((-3*sqrt(100))\/sqrt(10) - sqrt(10) - sqrt(10) - sqrt(10))) + 3.\nAnswer: -288*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 286915303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -476*o**3 + 41896*o**2 - 922240*o + 15488 = 0 for o.\nAnswer: 2\/119, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33 - 34 - (39 - 1)) + 312 + -323.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(((-8)\/(5 - -19))\/((-165)\/9)). Solve -5 = -10*o - b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 equal to 1409634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 1:26 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 22 + 3*s - 6 + 6. What is the remainder when 77 is divided by y(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3757238 plus 24.6232?\nAnswer: 3757262.6232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 25576, -3, -2, -5 in decreasing order.\nAnswer: 25576, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41*s - 31*s + 44*s)*(148*s + 215*s - 291*s).\nAnswer: 3888*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 99295, 99291, 99287?\n\"Answer: -4*r + 99299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -30580a6 + -2?\nAnswer: -30580a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 2:04 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 934*u**2 + 6*u + 538. Let p(j) = -622*j**2 - 4*j - 359. Let a(l) = 7*p(l) + 5*v(l). What is the second derivative of a(o) wrt o?\nAnswer: 632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -3c967?\nAnswer: 3c962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in thirteen quarters of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 311 divide 120441592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 567*p**3 + 23*p**5 - 567*p**3 + (-3*p**5 + p**5 - p**5)*(0 + 1 + 1).\nAnswer: 17*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.266462 rounded to two dps?\nAnswer: 60.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 220\/88*(8312 + -2 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9*7\/(-105)*105\/(-18)*6. Put w, 0, -29 in descending order.\nAnswer: w, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13091 + -13087. Let x be (-2)\/(-7) - 2\/7. Suppose 2*m - 5*p - 24 = 0, m + 0*m + 5*p + 18 = x. Solve m*r + 9 = -u, i*u + 2*r = r - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 25*s - 4*s. Suppose -1\/4*u**3 + s + 0*u**2 + 1\/4*u = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3616442231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*i - 508 + 508 as g + v*i and give v.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nal when three letters picked without replacement from {n: 1, z: 1, l: 3, k: 1, a: 3, i: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3278.475 micrograms to milligrams.\nAnswer: 3.278475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 11:28 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1773205 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/10*(17 + 8). Suppose -5*m + 2*x - 10 = 0, -x - x + s = -3*m. Suppose 4*k - 83 - 197 = -5*w, m = 2*k. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32 - 2013?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 2*z - 3*z + 1754, -7081 = -4*z - 5*j. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 15*k**2 + 16*k - 18. Let v be a(14). Let z = v + -8. Suppose 0*i + 2\/3*i**3 + 2\/3*i**z + 0 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6030*o = 74367 + 395973 for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-26)\/(-12)*-3*2\/(-1082). Let o = 15545\/79527 + x. Calculate the common denominator of 83\/12 and o.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 579\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 7:54 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.29 - 0.39. Let q = -3 - -8. What is the third smallest value in p, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.4467 - -0.0467. Which is the third biggest value?  (a) -2\/9  (b) -17  (c) k  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 1\/9  (b) -1\/3  (c) 4  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 64\/(-544) - (-72)\/(-255). What is the closest to -2\/3 in 0.2, q, -0.01, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36211835 rounded to the nearest 10000?\nAnswer: 36210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + -13. Let s be (-46)\/j - (-12)\/(-42). Which is bigger: 3\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (697 - 698)*(-1 + -14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/14 and 9\/(-13 + 58)*(-230)\/(-44).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -67590151 greater than -67590150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -6*b**3 - b**2 + b + 1. Let w be p(-1). Suppose 3*v + 2 = m - 6*m, 26 = w*m - 4*v. Suppose -3*d - m*d = -65. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7062000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 335 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 522815439.\nAnswer: 3, 37, 127, 37087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q + 749 = 339 - 800. What is the lowest common multiple of q and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -321 - 68?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/420*-21)\/(8\/(-5))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/(-8)*((-49)\/(-490))\/(1\/(-112)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-1))\/(15\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**3 - 125*g**2 - 138*g - 108. Determine j(-61).\nAnswer: -2853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -116*o*x + 953*x wrt o?\nAnswer: -116*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s - 5. Let p(h) = -8*h**2 + h + 2. Let n be p(-1). Let x be y(n). Suppose 0 = 3*t + k - 69 + 25, 46 = x*t + 4*k. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10534 - -233?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -57 or -400\/7?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 221112 + 33?\nAnswer: 221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/333, 25, 1\/7, -0.47 in decreasing order.\nAnswer: 25, 1\/7, -1\/333, -0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.87667468 rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 85 = 3*m, -4*s + 2*m + 95 = -m. Calculate the remainder when 1\/4 + 255\/s is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1*(3 + -1*(sqrt(500) + 1)))**2.\nAnswer: -40*sqrt(5) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2206972, -2206973, -2206974, -2206975, -2206976, -2206977?\nAnswer: -2206978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + -15. Let p = -52\/3 - o. What is the second biggest value in p, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3821843\/108 - -35387. Find the common denominator of u and -44\/117.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 - 80*o**2 + 453*o - 653. Give k(74).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 20*a**2 - 14*a + 815. Calculate c(21).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0089 - -1.3199. Let b = o + -2.204. What is b rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 15*s**3 + 5*s**2 + 10*s - 12. Let h be o(4). Suppose h + 648 = 13*t. What is the highest common divisor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5655800 by 100.\nAnswer: -56558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*v**2 - 2 + 28*v**2 - 35*v**3.\nAnswer: -35*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (sqrt(7) - sqrt(7)*-3*6) - (sqrt(1008) - (-1*sqrt(1008))**2).\nAnswer: 8*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(4 + (sqrt(242) - (sqrt(242) + -2)) + -3) + (sqrt(2) + (sqrt(2) - (0 + sqrt(2)))*4)**2 + 2 + ((sqrt(2) + sqrt(8)\/sqrt(4))*1)**2*-1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*d + 5*u, 5*d = -u + 5*u + 53. Solve -c - 8 = -d*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(108) - (sqrt(12) + 4).\nAnswer: -4 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (170\/51)\/((-160)\/384)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -53, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 11*h**2 + 11*h - 8. Let j(u) = 15*u**2 + 12*u - 8. Let t(o) = -3*j(o) + 4*k(o). Suppose 2*z - 12 = -0*z. Calculate t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r**2 + 260*r + 4363. Give t(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 888*a**4 - 7972*a**3 + 12252*a**2 + 280*a = 0.\nAnswer: -5\/222, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 1) + 4 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/10)\/(10\/8475). Which is smaller: 85 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -3 - 13 - (0 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (8 + -18 - -10) - 32\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11917 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 17 = 3*n - 19, 4*l = 3*n - 36. Let c be -24*n\/(-16)*1. Does 16 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 - 8*o**2 + 7*o + 2. Let a be m(7). Suppose -8 - 2 = -a*i. Suppose i*j - 49 = -14. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (360\/(-32))\/45*56.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4850 - 3370. Calculate the greatest common factor of 80 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llj when three letters picked without replacement from {j: 2, v: 6, l: 11}.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -49*n + 18*n**5 - 6*n**5 + 56*n wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnynynny. Give prob of picking 2 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 7:40 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + (2\/(-1) - -3). Let y(s) = -23*s**3 - 2*s**2 - 2*s + 1. What are the prime factors of y(x)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -523, 1\/5, -4, 4\/7, -7444.\nAnswer: -7444, -523, -4, -3, 1\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-21080)\/(-185) + 36\/666. What is the greatest common factor of 54 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/((-1)\/3)*1. Let n = 9 + -4. Sort j, 1, n in descending order.\nAnswer: n, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - -18. Let b = c - 3. Calculate the least common multiple of b and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -41*b - 85*b - 78*b as f + j*b and give j.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -14\/9, -9, -15, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 36398.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -4*p. Suppose 3*o - 4*d + 3 = p, o + 2*d - 7*d + 12 = 0. Suppose -5*v - o*j + 28 = 0, -2*v - 9 = -3*v - 4*j. Is v not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 5*s + 8, 2 - 10 = 2*p. Sort 5, s, 11 in increasing order.\nAnswer: s, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 7*j - 5*j = 34, q - 5*j = -4. Solve 0 = 27*l - 21*l + q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -119 - -228. What are the prime factors of p?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (2 - 3) + (-85)\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -38*k + 35*k + 3*r, -2*k + r = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25903 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 17295783.08 rounded to the nearest 100000?\nAnswer: 17300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36 - 52. Let u = k - -34. What is the least common multiple of u and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2 - 1284*t - 13761.\nAnswer: -3*(t + 11)*(t + 417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 75436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/15, -2\/85, 38, -1\/4?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2 + 9*d**3 + 1 - 3*d**2 - 2. Let r(y) = 2*y**2 + 3*y**3 - 43 + 20 + 14 - 11*y**3 + 11. Calculate -2*o(j) - 3*r(j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-3)\/(-6))\/(-1 + 31836\/31832)?\nAnswer: 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 5*n**3 - 7*n**2 + 4*n + 4. Let k(y) = 6*y + y + 9*y**3 + 405 - 12*y**2 - 217 - y**2 - 180. Determine 4*k(j) - 7*p(j).\nAnswer: j**3 - 3*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*p**2 + 3*p + p**2 + 0*p**2)*(-p + 3*p + 4*p) + 11*p**3 + 9*p**3 + 4*p**3 to q*p**3 + r*p + z + g*p**2 and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 118091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(204))\/sqrt(4) - -6*sqrt(51)*-5)\/(-4*(sqrt(192) - (sqrt(192) - sqrt(192)*-1))*1).\nAnswer: -35*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22*d**3*f**4 - 128*d**3*f + 2*d**2*f**5 + f wrt f.\nAnswer: -264*d**3*f**2 + 40*d**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 2:35 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d + 156 = -35*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of 0 + 1\/336*n**8 + 0*n**4 + 1\/210*n**7 + 7*n**2 + 0*n**3 - 1\/120*n**6 - 1\/60*n**5 + 0*n. Solve c(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19260 divided by 1070\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 47*m**3 + m**2 - 19*m + 151. What is p(4)?\nAnswer: 3099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172*b = -161*b + 11. Suppose 2*n - 3 = -w, 0 = -w + 2*n + 2*n + 3. Sort w, 2, -4, b in increasing order.\nAnswer: -4, b, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.8  (b) 283170  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 20 = 12*a, 5*a - 5*i + 9672 - 9762 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32761*u - 527104 = -23673*u for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 5*p**2 + 3*p - 2. Let h = 15 + -13. What is m(h)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -2  (c) -68  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1539578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 403 - 403. Which is the closest to l?  (a) 29  (b) 0  (c) 0.03  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4900 and 8526?\nAnswer: 426300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4500*n - 4493*n = 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29 + 54. Calculate the remainder when ((-35)\/v)\/((-2)\/10) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -9*h - 92. Let l be m(-10). Let t = 0.2 - 0.3. Sort t, l, 1\/2 in ascending order.\nAnswer: l, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 51891459*s**4 - 63069956*s wrt s?\nAnswer: 622697508*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -468 + 434 - (-41 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i**(1\/2)*i)))\/i**(-22) assuming i is positive.\nAnswer: i**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(2\/17)*m*m**7)**(-49))**(10\/9) assuming m is positive.\nAnswer: m**(-75950\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 12:57 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4*x + 15. Let j(w) = 11*w**2. Determine j(p(m)).\nAnswer: 176*m**2 - 1320*m + 2475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -5*h + 4*z, 8*z + 20 = -4*h + 3*z. Suppose -7*u + 2*u = h. Solve -3*o = 5*t + 16, u = -4*o - o - 5*t - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/11 - 384*z\/11 + 18432\/11.\nAnswer: 2*(z - 96)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-9) + (-10)\/45*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1151 + 391. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 438000 is divided by 145987.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 271 divide 225470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from {c: 3, j: 2, h: 2, d: 2, s: 2, q: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 14 = -3*r + 2*k, 5*r = 5*k + 15. Suppose 2*f - 41 = 3*v, -102 = -5*f + 4*v + r. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gggx when four letters picked without replacement from xxgxgxggggxxg.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -3*s + m + 88, 87 = 3*s - 3*m. What is the greatest common factor of s and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*l**3 + 29*l**3 - 9*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -678210 divided by -678210.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 5*v - 25 = 0, 1 = x - v - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - a + p - 6018 = 0, 3*a - 3*p - 9018 = 0. What are the prime factors of a?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1509 and 5?\nAnswer: 7545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -5, 4, 0.3, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*a - 102*a = -336 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-3) - (-26)\/42. Let p = 36.3 - 47. Let v = p - -5.7. What is the third smallest value in v, 1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - ((-9554)\/306 - (16\/36)\/(-2))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/90 and 157\/66?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + u + 3. Let k be s(-3). Suppose -y - 3 = -36. Suppose -t + y = -39. What is the greatest common factor of k and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15*(-136)\/4590*(-1)\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1))**(-10\/13)\/(r*r*r\/((r*r**(-10\/7))\/r)*r*r**(5\/6)) assuming r is positive.\nAnswer: r**(-2999\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1012 divided by 253.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.8 - -5. Let v = n - -0.5. What is the nearest to -3 in 0.3, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 5*w + 20 = 0, -5*p + 4*w - 4 = 3*w. Let y be (-2 - (-172)\/46) + -2. Is y less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42883 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 3*p - 1. Suppose o - t + 12 = 6, o - 5*t + 22 = 0. Let b(k) = 5*k. Let n(g) = -2*g. Let x(l) = 3*b(l) + 7*n(l). Calculate o*x(z) + h(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114114?\nAnswer: 2, 3, 7, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 252624 or 252541?\nAnswer: 252624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ozkkszkbsk. Give prob of picking 1 b, 1 k, and 2 s.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 + 5*v**2 + 10*v - 35. What is m(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -501 - -481. What is the closest to -1 in y, -4\/7, 1\/8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 133*f**2. Let p(q) = q**2 - q - 1. Let x(o) = 14*o**2 - 12*o - 12. Let j(n) = -12*p(n) + x(n). Calculate g(j(k)).\nAnswer: 532*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.42 and -41.\nAnswer: -17.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -6*g. Let l be c(-1). Suppose l*o - o = 10. Solve -y + 12 = o*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) -2\/7  (b) 6\/5  (c) 1.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*z**2 + z**2 + 3*z**2 + z + 2*z**2 - z + (-3*z + 3*z - z**2)*(-1 - 3 + 5) + 51*z**2 + 50*z**2 - 17*z**2 as m*z + u + c*z**2 and give c.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 16\/3 - 40\/3*g**3 - 8\/3*g**5 + 16*g + 20\/3*g**2 - 12*g**4 = 0?\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37883 (base 10) to base 6\nAnswer: -451215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 4*j = 65, 4*d = 28*j - 31*j - 49 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 + 21*w - 78. Let l be b(16). Solve -4*r + 28 = -2*i - l*i, 3*i - 4*r + 23 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -263 by 43.\nAnswer: -263\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 28*n**3 + 54*n**2 + 238*n + 8. What is a(-5)?\nAnswer: -3332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 17*(-2)\/8*-4. Let j = t - 14. Suppose -2*a + 20 = j*a. Solve 0*x = -2*o + 3*x - 5, 4*o = a*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.55 + -0.15. Which is the second biggest value?  (a) 0.5  (b) -2\/15  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (2 + (-23 - -38))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 + 2 = 4*a - 4*y, -4*y = -5*a + 100. Calculate the highest common divisor of 130 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -127874\/27 smaller than -4737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -233*k + 237*k - 32. Let g(p) = -p + 11. Determine g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - 1. Suppose -2*f = -7*f + 4*r - 378, -2*r - 318 = t*f. What are the prime factors of 12\/f - (-158)\/13?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*q - 3*f - 12, 3*q - f = 10 - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -41*o + 440829 - 440829. Let z(m) = -5*m**2. Calculate b(z(i)).\nAnswer: 205*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -271a9 - a22?\nAnswer: -2800b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3.219 + 21\nAnswer: 17.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 3*a + 12. What is x(-5)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/m**(5\/6)))\/(m\/((m\/(m*m**(-2\/3)))\/m*m)))**9 assuming m is positive.\nAnswer: m**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -19049 + 0.1?\nAnswer: -19048.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c59 (base 14) in base 11?\nAnswer: 3985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.145 or 1.1?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15873788793103*v + 2*v**3 - 15873788793103*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*f + 6 - 125. Suppose 0 = -5*v + 5*p - 25, p - f = 4*v - v. Let q be 4\/(-14) + (-92)\/119. Are v and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m. Let s(v) = -6*v. Suppose -c + 4*k + 1 = 7, 0 = 3*c + 3*k - 12. Let p(n) = c*s(n) + 5*h(n). Let t(i) = -i**2. What is t(p(b))?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 64 = 8*t. Suppose 0 = -t*r + 10*r - 40. Is -4*(8076\/40)\/((-12)\/r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 3*l - 17, 4*l - 10*x + 8*x - 22 = 0. Suppose -103 = -3*t + l. Calculate the remainder when 165 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 22 + 25 = -h, 2*h - 18 = -4*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u + 63*o + 7, -u - 4*u - 35 = -16*o - 4*o + 23*o for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + (-2395)\/(-5) + -10. Let q be (-50)\/(-14) - c\/826. Let m be (13\/15)\/(-1) + 1. What is the smallest value in m, q, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - -0.3267.\nAnswer: -3.6733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2108 - 2022. Calculate the lowest common multiple of g and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (5 - 7) + 21 + 0 + -32.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12698811 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 583*c + 8088 = -295*c - 4204 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 11714, 23438, 35162, 46886, 58610, 70334?\n\"Answer: 11724*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kmmkkmkk. What is prob of sequence mmk?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0044594379 rounded to five decimal places?\nAnswer: -0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 117321497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 715, 1094, 2087, 4000, 7139?\nAnswer: 11810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14576417 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44, -50, -58, -68, -80, -94?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 212*c = 209*c - 23, -1135*c - 10213 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 64\/(-6)*(-1 + -23). Let w = n + -126. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -7, 5276, -13, 33.\nAnswer: -13, -7, -4, -2, 33, 5276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - -2)*(-7 - (4 - 5)). Suppose -6*h + 22014 = d*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 - 6. Let u be k(3). Let p(j) = -2*j - j + 4*j. Let h be p(u). What is the second biggest value in h, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 944 - 944 + 5*i**3 - 4*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -285964, -1143884, -2573754, -4575574, -7149344?\n\"Answer: -285975*r**2 + 5*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7556\/1715 - 2\/343. Find the common denominator of (133\/70 + (-2)\/5)*-24 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {c: 2, q: 2, o: 1, w: 1, y: 6}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.3816ng to grams.\nAnswer: 0.0000000033816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 2:49 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4289 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -437*q - 5678. Let z be v(-13). Let c = -0.31 - 2.69. Sort 2, z, c, -1.\nAnswer: c, -1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -52\/3, 3 in increasing order.\nAnswer: -52\/3, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 47*j - 249*j + 17*j + 1.\nAnswer: -185*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/6 + (-140)\/(-42). Is -1*d\/8*-298 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*q - 3*q + 660. Suppose 3*b - q = -3*b. What is the highest common divisor of 44 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24131 * -1492.\nAnswer: -36003452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*u**2 + 4*u**2 + 2*u**4 + 2*u**3 + 7*u**2 to j*u + i*u**2 + l*u**3 + q + b*u**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -73705458 or -73705455?\nAnswer: -73705458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 - 18*h + 18. Let b be s(-15). Let m = b - -30. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/3216 and 49\/216018.\nAnswer: 115785648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 = -7*q - 3*q. Let h be q\/9*18\/(-4). Solve -4 = -h*o - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -5*k + 1. Let x(d) = 211*d - 197. Let r(v) = -5*b(v) - x(v). Find the first derivative of r(p) wrt p.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1ae - 13aa?\nAnswer: -1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 221086905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w - 30. What is j(11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*b = -p + 61*b - 11, -6 = 3*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12717, -12716, -12715, -12714?\nAnswer: -12713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/3 + 11\/12. Let m = -1 - -0.9. Suppose 0 = -5*j + 4*n - 28, -2*n + 8 = -j - 0*n. Which is the nearest to u?  (a) m  (b) j  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 - 6*o + 2. Let d be l(-6). Solve 0 = 3*w - d*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/50)\/((90\/(-75))\/6)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 8*t**2 + 7*t - 1. Let z be 15\/(-30) + 18\/4. Suppose -3*d - 4*f - 12 = -d, -z*d = 5*f + 24. Let n be (77\/33)\/(2\/d). Calculate p(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62326194 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 4*r - 97 + 7, 160 = 3*f + r. Let l(q) = -2*q**3 - 25*q**2 + 7*q - 67. Calculate the remainder when f is divided by l(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -289, -291, -295, -301, -309, -319, -331?\n\"Answer: -z**2 + z - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 181\/44580 and -77\/72.\nAnswer: 267480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119)\/sqrt(28))**2 - sqrt(85)\/(sqrt(45) + sqrt(5))) + ((sqrt(17)*2)**2 + 0 - 5*(0 + sqrt(17))**2).\nAnswer: -51\/4 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 487361604 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10 - 278?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -385*-67\nAnswer: 25795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 280 (base 12) to base 4.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1274 + 1274. Solve y = 14*v - 11*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 76667976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -351910\nAnswer: -70382","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/76 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26675 and 20855.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -946*d**3 - 2 + 1672*d**3 + 2 - 736*d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03301 rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -78.6 - 457.9. Let p = s + 436. Round p to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-72)\/96)\/(((-150)\/16)\/5). What is the closest to y in 2, 0.1, -102?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00075354 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2407*d**2 - 42*d + 6. Let c(v) = 2406*v**2 - 35*v + 5. Calculate -6*c(t) + 5*z(t).\nAnswer: -2401*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 62410, 248584, 558526, 992236, 1549714, 2230960, 3035974?\n\"Answer: 61884*g**2 + 522*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13492996 by 9154.\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = j - 14, 2*j = -j - x + 26. Let a = 39 - j. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2887666, -5775335, -8663006, -11550679, -14438354, -17326031, -20213710?\n\"Answer: -x**2 - 2887666*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 4*p - 150 = 0, -1815 + 1536 = -5*o - 2*p. Solve -44*x + 249 = -o for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19641066 divided by -6547022\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 31 + (-148800)\/(-6464) + -54\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/4)*x*x*(x**(-5)\/x*x*x)\/x)**(3\/8)\/(x\/(x\/x**(-3))*x**(-2)*x**(-2)*x**2) assuming x is positive.\nAnswer: x**(127\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r = 16 - 24. Let b = -0.1 + 0.2. What is the nearest to r in b, -2\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -340335, -680693, -1021051, -1361409, -1701767?\n\"Answer: -340358*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4985727*x + 267. Let j = -36 - -57. Let l be p(j). What is l rounded to the nearest 1000000?\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**3\/7 + 611*b**2\/7 = 0. Calculate b.\nAnswer: 0, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27658 + -10507. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 3*y**2 + 8*y + 7. Let l(t) be the first derivative of -7*t**3\/3 - 17*t**2\/2 - 15*t + 790. Calculate 6*l(k) + 13*m(k).\nAnswer: -3*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -3*h + 65, 2*h - 5*d - 13 = 37. Suppose -s - 4*f - 5 = -2*s, 3*s + 5*f = h. Find the common denominator of -71\/12 and (-2)\/s + (-801)\/(-990).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21006419939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22011556*c*j**2 - 204*c*j - 16*c - j**2 - 11*j + 185 wrt j.\nAnswer: 44023112*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*q**2 - 9 + 1 + 2)*(-1 + 1 + 5).\nAnswer: 45*q**2 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 5*s + 23, 5*s - 2*s = -5*b + 7. Let d = 57 - 37. What is the common denominator of (-4 - b) + (-42)\/4 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*(145\/(-10) - -2). Let g(t) = 4 + 12*t + 47*t**2 - d*t**2 - 21*t**2. What are the prime factors of g(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3153225 (base 7) in base 8?\nAnswer: 1353671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2034 and 20214.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2, k + 3*s = -3*k + 69. Let f be (-6)\/k + 7\/(-24). Is f at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 218759?\nAnswer: 283, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q - 72*q = 283*q - 30*q + 19778 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 31 - 7 = 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: Let g(u) = 6*u**2 - 6*u**2 + u - 1 + 7*u**3. Let m(f) = 4*f + 81. Let k be m(-20). Calculate g(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + -4. Let r(p) = 7*p - 7 + 5 - 4. Let b be r(k). Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -23, -24, -19, -8, 9, 32?\n\"Answer: 3*f**2 - 10*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -45*((-4)\/(-16) + 414\/(-120)). Suppose -49 = z - g. What are the prime factors of z?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2466, -3, -15 in decreasing order.\nAnswer: 2466, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -b + 9. Let m = 327 + -327.4. What is the smallest value in b, m, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-52)*(-2008)\/(-144). Let i = 695 + -27098\/39. Let q = i + h. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 66843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 482 + -2. What are the prime factors of j\/(-90)*(-183)\/2?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 4*r + 17, 4*r - 9 = -2*u + 7*r. Sort u, 2, 3 in increasing order.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 106 + 482 = 4*b, 4 = -4*s. Suppose 182 + b = 2*f. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 154 and 8778.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00206008 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-10))\/(126\/(-140))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 3*t**2 - 8*t + 11. Let i be u(3). Let j = i + 38. Let k(f) = -f**3 + 25*f**2 + 3. Let l be k(j). Solve 0 = -l*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = -c + 13, -10 = -c - 85*g + 88*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(2\/7))\/o)**(-31)*(o*o\/(o**(2\/5)\/o))**23*o**(-2\/5)\/o*o*o*(o*o**4)\/o*o*o*o*(o**(2\/3))**18 assuming o is positive.\nAnswer: o**(2469\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -h + 5*k, -3*h + 6*h + 16 = 4*k. Let b = h + -5. Let v = b - -19. Is v 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 -33 - -1221?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 AM and 8:58 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 29910 divided by 2991?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u**2 + 32*u + 123. Let b(f) = 5*f**2 + f**2 - 16*f + 0*f**2 - 5*f**2 - 62. Let n(t) = 5*b(t) + 2*p(t). Let n(a) = 0. What is a?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - n - 10 + 26, -4*q + 5*n = 8. Solve q*h + 3*s = -3, 3*h + 0*s = -4*s - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -52*l**2 - l + 109527. Let p(y) = 16*y. What is a(p(h))?\nAnswer: -13312*h**2 - 16*h + 109527","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*s - s - 12 - 8*s)*(-s + 3*s - s).\nAnswer: s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 218 - 152. Differentiate -73*q**2 - 53*q**2 + n + 28*q**2 with respect to q.\nAnswer: -196*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 220 (base 8) in base 16?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 163214106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of -260*t**4\/3 - 343*t**3\/2 + 15*t - 1. What is the second derivative of r(h) wrt h?\nAnswer: -2080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -5*k - 4*i, -5*i + 3 = -3*k + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2922*l + 977*l + 969*l + 973*l. Let s(p) = -4*p + 5*p - 3*p. What is n(s(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 76*s + 8. Let r be v(0). Let o be 12\/r + (-23)\/(-230). Factor 7\/5*k - o + 1\/5*k**2.\nAnswer: (k - 1)*(k + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 921 is divided by 184.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 432 by 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7.01 + -0.01. Let b = -2.2926283 + 9.2926297. Let w = b - f. What is w rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of -u**10\/6048 + u**9\/5040 + u**8\/3360 - u**4\/6 + 5*u. Let q(z) be the third derivative of v(z). Suppose q(r) = 0. What is r?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 - 36*n + 133. What is q(32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -48, -56, -76, -114, -176?\n\"Answer: -w**3 - w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2951728 rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2. Let i(r) = r + 1. Suppose 9 = 2*l + l. Let y(b) = 3. Let f(x) = 2*x + 3. Let h be f(-2). Let j(k) = h*y(k) + l*i(k). Give n(j(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2*j**3 + 2 + (-13*j**2 + 35*j - 35*j)*(0*j - 2*j + 4*j) to i*j + z*j**2 + p*j**3 + s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 313a807?\nAnswer: 313a806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 8:27 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1418 or -1373?\nAnswer: -1373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 23*k**2 + 21*k - 19. Let y be h(-22). Let w be -1*-1*2*1. Solve -3*z - 9 = -6*z - w*p, -y*z + p = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 2. Let q be (3\/(-3) - p)*1. Let y = -1 + q. Solve l + y*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2 + 2*v - 24.\nAnswer: 2*(v - 3)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -50*s. Let t(r) = 2150*r. Let w(f) = 260*i(f) + 6*t(f). Let h(y) = y**2. What is w(h(p))?\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81868, 163745, 245634, 327541, 409472?\nAnswer: 491433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 976622, 1953239, 2929856?\nAnswer: 3906473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -8*v**2 - 4*v - 4. Let x(l) = -16*l**2 - 7*l - 7. What is 4*x(i) - 7*z(i)?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 42037, 42031, 42021, 42007, 41989, 41967?\n\"Answer: -2*b**2 + 42039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -550985*p**2 + 78790865*p - 1430.\nAnswer: -5*(p - 143)*(110197*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 6461*k + 284. Let a(r) be the first derivative of -34*r**2 - 3*r + 6256. What is 284*a(x) + 3*h(x)?\nAnswer: 71*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1b3 + -b?\nAnswer: -1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 112031400 + -2231?\nAnswer: 112024114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 25\/10*6\/20. Let d(q) be the first derivative of -r*q**4 + 1\/2*q**6 + 0*q + 4 + 0*q**2 + q**3 - 3\/5*q**5. Determine o so that d(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-586 - 609 + 254 - 590)*(-w**2 + w**2 + 3*w**5).\nAnswer: -4593*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 AM and 1:45 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111 + 101000?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8680 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 1. Calculate the lowest common multiple of 1 and 1\/((-1)\/f) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49576711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -496461900 to the nearest one hundred thousand.\nAnswer: -496500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001405 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 1)*(3 - 2 - 2)*(-2 - 1 - 9)*(52*p - 53*p + 0 - 2).\nAnswer: -24*p - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 891\/88 + (-4)\/2 + (-91)\/13\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = 49606*c - 49609*c + 3, -5*c = -11*k + 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/15869 + 285632\/79345. Suppose -22\/5*c**2 + n + 4\/5*c**3 + 24\/5*c = 0. Calculate c.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(2*sqrt(242)).\nAnswer: sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21241\/45 - 472. Let x(g) be the third derivative of -1\/36*g**4 + 2\/315*g**7 - g**2 + 0 + 1\/504*g**8 - z*g**5 + 0*g**6 + 0*g**3 + 0*g. Factor x(b).\nAnswer: 2*b*(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 3*h = 3*z + 129, 0 = -4*z. Suppose 5*v - 22 = h. Suppose v = d + 9. Solve -d = 2*l - 2*x + 4*x, -5*l = -x - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssaaaasca. What is prob of picking 2 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*f - 46*f + 22*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o + 1 - 1 + (3*o + 6*o - 2*o)*(3 - 4 - 1).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 52 - (-3)\/(-1)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15377815.\nAnswer: 5, 73, 42131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2887*p - 167365 = -37450 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s**5 + s**5 + s**5 + (-2*s**3 + 0 + 0)*(-s**2 + 0*s**2 + 3*s**2) - s**5 - 1 + 1 + 569*s**3 - 569*s**3 - 81*s**5.\nAnswer: -87*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 2 = 4, 4*y = 5*h + 2217. Let n = -550 + y. Solve n = 6*q + 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + 1)*(6 - 5 + 0)*(5 - 2 - 1)*(-6*u**2 + u**2 + 4*u**2) in the form v*u**2 + x + t*u and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of -13*q**5\/10 + 3*q**4\/2 + 15*q. What is the third derivative of h(u) wrt u?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -5*d**4 + 948*d**3 + 707*d**2 - 136*d - 10. Let o(u) = -2*u**4 - u**3 - 11*u**2 - u - 1. Let i(f) = -l(f) + 10*o(f). Factor i(z).\nAnswer: -z*(z + 1)*(z + 63)*(15*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pmmxrxprppxpp. What is prob of picking 3 p and 1 x?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2557, 5667, 8633, 11383, 13845, 15947, 17617, 18783?\nAnswer: 19373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*(3\/(27*1\/21) - 2). Let j(b) = -b**3 + b**2. Let z(l) = 6*l**3 + 5*l**2 - l. Give q*z(y) - 4*j(y).\nAnswer: -2*y**3 - 9*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/365  (b) -5  (c) -1  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19357, -38708, -58057, -77404, -96749, -116092, -135433?\nAnswer: -154772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12576 + -662319.\nAnswer: -674895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8986863953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 67, 3 in descending order.\nAnswer: 67, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -8*(50\/(-60))\/((-42)\/(-252))*(-1)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 PM and 5:18 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 104627 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -172, 3, -44, -11 in descending order.\nAnswer: 3, -11, -44, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10992.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 318.577969 - 318.5. Let r = 0.078 - o. What is r rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-11)\/j*j**(-6))\/(j*(j*j**10\/j)\/j*j*j*j**(-12)))**(28\/9) assuming j is positive.\nAnswer: j**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -115, -172, -229?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 PM and 8:33 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 479221\/53 + -9043. Is -1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (197 + 3)\/(2\/40). What is o rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4*5\/(-18*(-20)\/54))\/(19\/(-4))?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 3962587915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, o: 1}. What is prob of sequence ux?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -14*f - 247. Let a be k(-32). Let n = a + -166. Suppose g - 12 = -2*g, 2*g - 82 = -2*s. Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -4*o - 40, -7*o - 26*a - 23 = -23*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.7 in -65, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11010111010 (base 2) in base 15?\nAnswer: 79c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4489 times -0.2?\nAnswer: -897.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10 + ((-1440)\/210 - (-1)\/(-7)). Let y = -277\/20 + -252\/5. Let t = -64 - y. Sort t, g, 0.3 in increasing order.\nAnswer: t, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 128490532*l**2 - 28525340*l + 2 wrt l?\nAnswer: 256981064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 127692848 by 20536.\nAnswer: 6218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 69083929 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/6248647 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5262367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*l - 144*l - 17 = 2*p, 4*p = 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -56 - -54.7. Are 1 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*j = 0. Suppose j = t + 3*t - 3140. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12352 - 12354. Let m = -0.2 + 0.5. Which is the fourth biggest value?  (a) 25\/6  (b) -4  (c) m  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 5*s + 0*s + 0 - s**2 - 4*s + 1. Let m(c) = -9*c**2 + 5*c + 5. Determine 5*a(f) - m(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1755774.73524 plus 27.33?\nAnswer: -1755747.40524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -12\/47, 0, -47, 0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 7147*h**2. Let r be s(-1). Let j = r + -99949\/14. Suppose -2*v + 4*v - 28*v = 0. Calculate the common denominator of j and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppjpppjpppjjjpjpjjpj. What is prob of sequence pppj?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-27) + 4\/(-18). Let k = 2 + p. Solve -1 + 16 = 3*x, 4*x = -k*t + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 119*u + 3684. What is g(-31)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-46)\/(-352) + (-18)\/(-99). Let h = w - -3\/16. Let k = 0.08 - -0.22. Which is the closest to 0?  (a) h  (b) 3\/4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, s: 2, i: 1, j: 1, b: 1}. What is prob of picking 1 b, 1 j, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15*m + 18*m - 34*m)*(-181 - 378 + 127) to the form z + h*m and give h.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 315734329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 + 13*v + 232. Let q be y(-10). Solve 2 = -q*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*n**3 + 3*n + 2*n + 3*n - 15*n**3 as h*n**3 + x + j*n + z*n**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 7, w: 2, j: 3, x: 3, q: 3}. What is prob of picking 1 j, 1 q, 1 x, and 1 w?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h - 1. Let j be q(-1). Let s(i) = -i**3 - i**2 - i + 3. List the prime factors of s(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 2*m**5\/15 - 64*m**4\/15 + 64*m**3\/5 + 1024*m**2\/3 + 2560*m\/3 = 0.\nAnswer: -4, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 and 1314?\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 25043 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: Let a(j) = 72337*j**3 + j**2 + 2*j - 2. Let i be a(1). Let n = -34338 + i. What is n rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 1:22 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -2828508 and -2828510 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -41, -107, -221, -395, -641, -971?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -1122320?\nAnswer: -1122310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + -171976?\nAnswer: -171976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -950, -893, -834, -779, -734, -705, -698, -719?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.0673, 1\/2, 1195, 3 in descending order.\nAnswer: 1195, 3, 1\/2, 0.0673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/4, -13\/3, -646 in increasing order.\nAnswer: -646, -13\/3, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 140 and 302372?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8316 = 19987*h - 20239*h for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 0.5, 32150 in descending order.\nAnswer: 32150, 4, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 + 36*n**2 + 115*n + 91. Let h be g(39). Suppose 0 = 3*r + 15, 2*f + h*r - 10289 = 12*r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6480 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 5 = -3*b, 205*b - 216*b - 59 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/20*(-1470)\/(-9604))\/((-168)\/32).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = -5*u - 6. What is the least common multiple of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*f - 5*f - 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 95, 87, 69, 35, -21, -105, -223, -381?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.34 - -0.34. Let f be 9 - (-975)\/(-105) - 44\/(-7). Put m, 1\/3, 0.06, f in decreasing order.\nAnswer: f, 1\/3, 0.06, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*n + 35134*w - 35133*w + 24, -2*n = -5*w + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2100 = 17*b. Let v = -513 - -740. Let g = b + v. Is 77 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -326, -328, -330, -332, -334, -336?\n\"Answer: -2*z - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 9*f. Let b(h) be the third derivative of 233*h**4\/12 - 8*h**2 - 54*h + 1. What is w(b(v))?\nAnswer: 4194*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -661, -658, -653, -646, -637, -626?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(260)\/(3*sqrt(5)))\/(sqrt(64)*-3).\nAnswer: -sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -91*n**2 - 43*n + 84*n - 12 - 40*n + 11. Let u(m) = -2*m. What is f(u(y))?\nAnswer: -364*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -478158?\nAnswer: 1912632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, v: 1, o: 5}. Give prob of sequence oovh.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, c: 1, q: 1, m: 1}. What is prob of picking 1 m, 1 z, and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, g: 10}. Give prob of sequence hgg.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -308, -2287, -7666, -18149, -35440, -61243?\nAnswer: -97262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -364.02 - 2766.98. Is -1 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 45*a**5 + 45*a + 15*a**4 - 85*a**3 - 24*a**2 + 15 + 5 - 11*a**2 = 0 for a.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10421.3l in millilitres?\nAnswer: 10421300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 3*v + w = -179, -w = -2*v + 119. Suppose -5*a + v = -0*a. Calculate the highest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/270 and 101\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.03 in 0.1, 2, -4\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -2*a + 31, 5*a - a - 5*g = 7. Suppose 50 + a = w. What is the least common multiple of w and 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (33 + -3)\/10 + 2. Let a(x) = 27*x - 15. What is a(o)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 1718 + 493. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - (-248 + 2)) + -2. Suppose 0 = -3*b - 0*b - 480. Let p = q + b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 442437 (base 8) to base 15.\nAnswer: 2e12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**3 + 70*a + 3*a**3 - 70*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - 6*n. Let p(j) = j**2 + 7*j + 2. Let a(s) = -5*k(s) - 6*p(s). Let b be a(-8). Solve 10*w - 14*w = -b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + -444?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -292427, -584869, -877311, -1169753, -1462195?\n\"Answer: -292442*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*n + 13*n = -2010. Let h = -25 + 48. Calculate the remainder when n is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 10*a**2 - 2. Suppose 10 = -7*h - 60. Calculate j(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 3:46 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -0*g - 30. Suppose -2*b + 2 = -3*t, b + g = -2*b. Let v = t + 17. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -661799749*f**3 + 110517619*f.\nAnswer: -3970798494*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 343986.8 milliseconds to nanoseconds.\nAnswer: 343986800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24219?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1*((u\/(((u**(-1\/4)*u)\/u)\/u))\/u)\/u)**5 assuming u is positive.\nAnswer: u**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -12796  (b) -1\/5  (c) -25  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1204190 and 11282570?\nAnswer: 7670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*r - 6941 = -245*r + 1571 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6, -2, -10, -18, -26, -34?\n\"Answer: -8*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2154 take away 2.9?\nAnswer: -2156.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0*(-37)\/(47 + -10). Let u = 1652\/5 + -329. Is u less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s**2 - 3*s. Let b(t) = 5*t**2 + 8*t. Let m(u) = 8*a(u) + 3*b(u). Let y(i) = 6*i**2 + i. Let l(j) = -14*m(j) - 2*y(j). Factor l(o).\nAnswer: 2*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -75640, -151278, -226916, -302554, -378192, -453830?\n\"Answer: -75638*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -544 - 551 - 701*h - 543 + 2207 - 569.\nAnswer: -701*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 8, 7, 1202891 in ascending order.\nAnswer: 5, 7, 8, 1202891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 - (0 + ((-12)\/2)\/(-2)). Let t(n) = n**2 + 5*n - 4. What is t(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 352306 is divided by 222?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 17*z**2 + 9*z - 3. Let o(g) = -8*g**2 - 5*g + 2. Suppose 3*k - 4*n = -57, 0 = -2*k - 2*n + 37 - 33. Determine k*o(c) - 4*s(c).\nAnswer: -12*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -c72 (base 13) to base 7\nAnswer: -6120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 9 = v. Let d be (3\/v)\/(1\/6). Let n(s) = -s**3 + 3*s**2 - s + 1. Let l be n(d). Which is the second smallest value?  (a) -2\/23  (b) l  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0  (b) -3  (c) 27\/2  (d) 1226\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43 + 42.57. Let k = -0.43058 - p. Round k to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 588\/(-49)*54\/(-96)*(-4)\/(-3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102213.\nAnswer: 3, 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -q, 4*q - 3*q = -3*c + 35. Solve 4*k + 0*k - 5 = 3*h, -2*h = 4*k - c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/288 and -25\/21336.\nAnswer: 256032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**5\/9 + 16*l**4\/3 - 86*l**3\/3 - 1060*l**2\/9 + 2200*l\/3 + 2000.\nAnswer: -2*(l - 10)**3*(l + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.454 + -0.524. Sort z, -5, -2\/7 in increasing order.\nAnswer: -5, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 14*x - 15. Is 8 a factor of c(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5 = 3*q, -5*v - 10 = -3*q - 35. Solve -3*c = -4*k - 8 + 29, -5*c + v*k - 30 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/15)\/u)\/(u\/(((u*(u*u**(1\/27))\/u*u)\/u*u)\/u))*(u**(4\/5))**(-1\/15) assuming u is positive.\nAnswer: u**(-731\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11582 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - ((-5 - (-4 - 3)) + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -15215309.15 rounded to the nearest ten thousand?\nAnswer: -15220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from unhdnffuznfd. Give prob of picking 1 u, 1 d, and 1 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.05, -1\/6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 13 = 8. Which is the fourth biggest value?  (a) -5  (b) m  (c) -3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -98*s + 5. Let n be u(1). Let t be 31\/n - 26\/(-6). Solve 4*b - 4 = w - 0*b, 3*b = -w - t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 5577741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -2*m. Let z(g) = -689936*g + 5. Calculate x(z(a)).\nAnswer: 1379872*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/13  (b) 1826\/3  (c) -24  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 611*v**3 + 559 wrt v.\nAnswer: 1833*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**3 + u**3 + 4*u**3)*(-u + 3*u - u) + 2*u**2 - 2*u**2 + 2*u**4 + 0*u**4 - 2*u**4 + u**4 - 4*u**4 - 5*u**4 - 2*u**4.\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -60*j + 11. Let p be m(-6). Suppose -4*t - 5*z - p = 0, t + 3*z = -z - 90. What is t rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -593, -1879, -5367, -12161, -23365, -40083, -63419, -94477?\n\"Answer: -184*c**3 + 3*c**2 - 7*c - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8 - 2)*6\/(-9). Let x be (-7)\/35*(-70)\/(-4). Is x at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z + 1375 = -11*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - 2 - (-54 - -3 - (-68 + 67)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 79 (base 15) to base 8\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30.42 + 30. Let q = 83472.5 + -83472. Which is the second biggest value?  (a) q  (b) 0.2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, -1, 32, 63, 92, 119, 144?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -536, -2067, -4600, -8135?\nAnswer: -12672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 6 - 5)*(15 + 11 + 7*s**2 - 8*s**2) as l*s**2 + f + d*s and give f.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 470 a factor of 12148560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 32*s - 437. Calculate the lowest common multiple of 76 and m(19).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-12)\/5) - (-128)\/(-128)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*a**2*p**2 - 126*a**2 - 4096731*a*p**4 - 392550 wrt p?\nAnswer: 8*a**2*p - 16386924*a*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (-37 - -18) + (9 - 0) + 92\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 15245*o - 4395*o + 2596*o in the form j + v*o and give v.\nAnswer: 13446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -40 - 36.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2\/13, -4\/3, 1\/2 in ascending order.\nAnswer: -4\/3, 2\/13, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5760094 (base 10) in base 3?\nAnswer: 101211122100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 91 and 897.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 42428912300 rounded to the nearest 1000000?\nAnswer: 42429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 4*h + 180 = 0. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -6, 23, 54, 87?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -10540*y + 347822. Calculate u(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 98\/11 in -3, 1340, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17*o + 5*o + 4*o**2 + 13*o)*(8303 - 5780 - 4975) as s + d*o**2 + u*o and give d.\nAnswer: -9808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6401 - 1011655?\nAnswer: -1021356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 40 - 34. Let y(b) = 279*b - 1. Is y(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -2. Let o = 0 + i. Suppose -4*a + 70 = c + 2*c, 4*a - 4*c - 56 = o. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 132 and 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 22, 6083.\nAnswer: -4, 1, 22, 6083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -42 divided by 709\nAnswer: -42\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*f + 24 = -3*w + 35*f, 4*f + 12 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t + 15. Let d be s(-7). Let v(c) = -22 + 2*c**2 - 4*c**2 + d. Let b(h) = -h. What is v(b(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -2*o**2 + 27*o - 8. Let d be x(13). Suppose 4*p + d*h - 123 = 2*h, -p = 4*h - 34. What is the remainder when 239 is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*z + 12405 = 41*z. What is the tens digit of 4 - z\/(-10) - 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 6*d**3 + 4*d**2 - 3. Let u(r) = 6*r**3 + 5*r**2 - 2. Let p(f) = 2*l(f) - 3*u(f). What is the third derivative of p(c) wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 95.34595 grams?\nAnswer: 0.00009534595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 10*r + 12030 = 4*c, 2*r + 9019 = 3*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + t**2 + 3*t + 1. Give k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2642 (base 7) in base 12?\nAnswer: -702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7045185 + 7045185 + 32*x**3.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1569 and 26321.\nAnswer: 26320.8431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**3\/2 + 27*r**2\/2 + 100*r + 150 = 0.\nAnswer: -15, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -165 and -2.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 4*s**2 + s + 2. Let b = 1 - 2. Let g be c(b). Suppose 17 = -4*n + g. Is n at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffffffffffffafaf. What is prob of sequence fa?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 33439, 133759, 300967, 535069, 836071, 1203979?\n\"Answer: f**3 + 33438*f**2 - f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1025 by 5.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -13*h + 1. Let k be p(-1). Let r be 105\/k*4\/2. What is the units digit of (1 - r\/(-9))*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 - (-36 - -18 - -17 - -15 - (0 + 4))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1956.687 + -1938. Round d to 1 dp.\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 - 13*j**2 + 13*j - 12. Let b = 70 - 84. Let k be w(b). Solve k*c = -3*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -37 - (28 + -35 + 37)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -190309 or -0.1066?\nAnswer: -0.1066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32690.\nAnswer: 2, 5, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27 (base 9) to base 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -0.029, 0.3, 160, 10, 0.82?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 14*h**2 + 14*h + 17. Suppose 45 = -3*k + 3*b - 0*b, 0 = -2*k - 2*b - 22. What is the units digit of c(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/20 and (-12 - -14) + (-103)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-4) - -1)*10. Suppose p = 5*q + 33 - 8, p = q + 5. Suppose 4*z = f + 6, 5*z + 5*f + n + p = 0. Solve -z = -b - 2*x + 2, -5*x = -b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-42)\/(-105) + 1783\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1\/462?\nAnswer: 1\/462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4634979415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 v when three letters picked without replacement from mmvmmmmvvqmvmvv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/(-4)*((-738)\/15 - -2). Let l = 17 + 6. Suppose 5*z + l = o. Calculate the least common multiple of 8 and z.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of u**11\/7920 + u**7\/504 + u**4\/6 + 8*u**2. Let v(i) be the second derivative of j(i). Find the third derivative of v(s) wrt s.\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 196 = -4*i, -5*i = -2*l - l - 123. What is the smallest common multiple of 11 and l\/(-14) + 6\/(-21)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1800157.868 + -2\nAnswer: 1800155.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21\/3800879 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4 = 2*x, -2*k + k - x - 2 = 0. Let c = 11 + -13. What is the smallest value in -0.3, c, -1, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 32. Let l(u) = -174*u + 1212. Let v be l(7). Calculate z(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + 9515015.\nAnswer: 9515014.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23 - -1311?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 32 = -22. Calculate the greatest common divisor of 870 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15978626 divided by 6?\nAnswer: 7989313\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ymmy. What is prob of picking 2 m and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 3*g**2. Let y(p) = -14*p + 1 - 10*p - 2 - 7*p. Determine y(w(q)).\nAnswer: -93*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/(-15))\/4*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34734 is divided by 193.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 486 - 106. Is 44 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1380507053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.4589 + -0.8589. Let p = -14 + 69\/5. Which is the second smallest value?  (a) 5  (b) r  (c) p  (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2392784*j**5 - 1798236*j.\nAnswer: 47855680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 2*j. Suppose 4*t + 5*m + 14 = -15, j = 5*t - 2*m - 5. Let r be (-1)\/t*24\/6. Solve 5*n + r = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 198  (b) -5  (c) -1  (d) 2  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 92 - -9. Suppose 204 = 5*w - k. What are the prime factors of w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 684396905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 - 9*m**2 - 11*m + 16. Let i be b(10). Let h(l) = 2*l**2 - 6*l + 2. Give h(i).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-6)*13*(-90)\/(-1950))\/((-3)\/(-78)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 252*l - 257*l = 25, 4*f - 4*l = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = 1 - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.4 and 360.007167?\nAnswer: 360.407167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 1:58 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 105 + 11. Suppose 0 = x - z + 12. Calculate the greatest common factor of 187 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 105*s + 536. Give i(-9).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5498*l - 414 = 5544*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1074538476 by -32561772.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -63914 + 7702. Let f = -3597641\/64 - p. Calculate the common denominator of f and 89\/40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z**2. Let b(n) be the second derivative of -2*n**7\/315 - 3*n**4\/2 + 71*n. Let t(i) be the third derivative of b(i). Give t(k(v)).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from ihiuimvuunni?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-6*(sqrt(187) - 2*sqrt(187)))\/((2*sqrt(704) - sqrt(11)) + (sqrt(539) + -1*sqrt(539) + sqrt(11) - sqrt(11))).\nAnswer: 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 4000 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**2\/3 - 412*r\/3 - 2110\/3 = 0. Calculate r.\nAnswer: -5, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = 3*r + 232. Let z = r - 57. Suppose z = c - 143. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1044817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*t = 55*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 4*z**2 - z. Let y be q(1). Suppose -t = -y*t + 8. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17101 - 17569 = -6*b - 7*b for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, 1035, -3\/2, 5, 0.9, -1, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-24)\/(-13) + -3) - -1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 304183?\nAnswer: 11, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/3 + 145*m**2\/3 + 6623*m\/3 + 97199\/3.\nAnswer: (m + 37)**2*(m + 71)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -213.4477 - -0.6.\nAnswer: -212.8477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (136\/714)\/((-33)\/(2970\/(-160)))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (1 - 1)) + -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 + 11*y + 16. Let k be n(12). Suppose -4*r + k*j = -0 + 4, -3*r - 1 = -j. Solve r = -8*d + 3*d + 3*x + 32, 0 = -5*d + 5*x + 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, -1\/5, -0.3, -3\/4, -0.05 in ascending order.\nAnswer: -3\/4, -3\/7, -0.3, -1\/5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119951 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 480*y**4 - 508*y**4 + 19*y**5 + 17*y**3 - 2*y**2 - 6*y**5.\nAnswer: y**2*(y - 1)**2*(13*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -5047.\nAnswer: -1009.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2.628 and 0.42?\nAnswer: 3.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 16 = -3*p, 3*p - p + 10 = -h. Let v = 1318 + -1313. Put p, v, 58 in descending order.\nAnswer: 58, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 663900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 less than 13518.85114699?\nAnswer: 13518.65114699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -4*a + 5*d, 3*d + 2*d + 13 = -3*a. Let v be 2*(a - 1)*2. What is the units digit of 14*2*3\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5685394 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 - 9*b + 3. What is the remainder when 11 is divided by j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 2, 10\/11, -3, -7075 in increasing order.\nAnswer: -7075, -3, -1\/5, 10\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*g + 16*g - 1076 = 0. Let k = -185 - g. Suppose -5*s + 0*f + 105 = -3*f, -k = -4*s - f. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fifteen quarters of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5887*k + 4868*k + 625*k - 1 + 849*k - 1074*k to the form d*k + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 165\/2475 + 118\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 325736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 108.8145387 nanoseconds in weeks?\nAnswer: 0.00000000000017991821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -688 by -86.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*v**4\/7 - 36*v**3\/7 - 12*v**2\/7 + 4*v\/7.\nAnswer: -4*v*(v + 1)**2*(5*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -2*t**2 + 421*t - 3. Let q(m) = m**2 - 212*m + 1. Give 2*h(g) + 5*q(g).\nAnswer: g**2 - 218*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1922, -1937, -1968, -2021, -2102, -2217, -2372?\n\"Answer: -g**3 - 2*g**2 - 2*g - 1917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + 1*(sqrt(288) + 0 + sqrt(288)))**2 - (-2*(sqrt(288) - (0 + sqrt(288))))**2 - (-1 + sqrt(288)*1 + sqrt(288) + -2*sqrt(288)*6).\nAnswer: 120*sqrt(2) + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-19)\/38*(-5 - -1). Which is smaller: p or 25?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -15*u + 1. Let j be -2 + 3 + 2 - -2. Let t(q) be the second derivative of -4*q**3\/3 + q**2\/2 - 8*q + 3. What is j*t(m) - 3*p(m)?\nAnswer: 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 62 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**5 - d**5 + 0*d**5 + (-5*d - 3*d + 5*d)*(-5 + 2 + 1)*(-2*d**4 + 2*d**4 - d**4).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 783294 is divided by 1053.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -q**7\/168 + 5*q**6\/12 - 75*q**5\/8 - 14*q**3\/3 + 2*q - 27. Let m(v) be the third derivative of a(v). Factor m(s).\nAnswer: -5*s*(s - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 220 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 120121?\nAnswer: 120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1857403 is divided by 487.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*x - v + 28, -3*v + 19 = 3*x - x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 98 + -56. Let t = 441 - b. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -289.00031 rounded to zero decimal places?\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - -1)\/(11\/(-11)). Suppose -f + 27 = -h. 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 z(d) = 15*d**2 - 6*d + 6. Let y = 56 - 53. Is z(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3)\/m**(-11\/3))**(-37)*(((m\/m**(5\/3))\/m)\/m*m*m\/(m*((m\/(m*m**5))\/m*m)\/m*m))\/(((m**(-2\/9)*m)\/m)\/(m\/(m*m**(-3)))) assuming m is positive.\nAnswer: m**(-163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 53 + 11 - 4*i + 8*i + i**3 - 22. Let v be n(0). What is the highest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*o + 3*o + 56. Let u = -3350\/3 - -2253\/2. Calculate the common denominator of 1858\/84 + (-4)\/o and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100 - 2022?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.5229 - 35072.461.\nAnswer: -35073.9839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fii when three letters picked without replacement from {i: 3, f: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5488909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 79 + -62. Let g be i\/(-4) - -4 - 0\/1. Put -1\/3, g, 1 in ascending order.\nAnswer: -1\/3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (184\/46)\/((-1)\/(1\/10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 11:28 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -945222.985 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90665209?\nAnswer: 47, 1929047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 510 = -119*r, -162 = 11*r + 14*r - 23*r - 5*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6325, -6332, -6341, -6352, -6365?\nAnswer: -6380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10918 is divided by 1538.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 4276595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 293*q - 79*q + 2 + 268*q + 4 - 3.\nAnswer: 482*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11013 - -15759. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 5*t + 26 = 88, -4*x - 4*t = -80. Let i(s) = s**2 - 12*s + 54. Calculate the remainder when i(x) is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*(24\/(-96)*-3)\/(42\/176)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/872 and -43\/12.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 986.06 minutes to nanoseconds.\nAnswer: 59163600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 723.6791 centimeters?\nAnswer: 0.007236791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 30 (base 14) to base 7\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8370958 = -309*p - 2215382. What is p rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u - u + 5*u - 2*u. Determine v(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15349207?\nAnswer: 19, 29, 89, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 10:40 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, 19, -1, 7784, 2 in decreasing order.\nAnswer: 7784, 34, 19, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-3949)\/(-33) + -5)*8\/((-96)\/(-4194)).\nAnswer: 2, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 7\/195?\nAnswer: 7\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n**2. Let v(d) be the first derivative of 0*d**2 - 2*d + 1\/6*d**3 - 2. Let u(g) be the first derivative of v(g). Determine u(f(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*s**3\/5 - 13251*s**2\/5 - 326193*s - 252105 = 0. Calculate s.\nAnswer: -245, -7\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 258 - 79 - 88 - 91 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 352 and 4352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6137305\/134 + -45801. What is the common denominator of 9\/8 and q?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1827230 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -1. Suppose 4*r + 3*b - 9 = 0, 0*r + b = -2*r + 5. Suppose 2 = -k + r. Let g(a) = -2*a + 4. What is k*g(x) + 5*m(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 3*a + 87 = 0, -5*a - 36 = -3*x + 51. Suppose 8*d = -372 + 4060. Calculate the remainder when d is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 + 0.094198.\nAnswer: 0.394198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 691.5565l?\nAnswer: 691556.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t + 0*t = 100. Suppose -5*y - 5*c = t, -3*y + 5*c = -32 + 6. Let f(w) = 4*w**y - w**3 + 1 + 6*w + 3 + 1 - 8. Give f(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11583237 divided by 8?\nAnswer: 11583237\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.121 and 301.\nAnswer: -36.421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159*x - 3445773 - 1045182 = 0. Is 269 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 12038*n**3 + 6*n**2 - 4. Let l be r(-6). Let s be 5\/((-10)\/l) - -2. Round s to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -4*u. Let w(b) = 217*b**2 + 3. What is w(a(j))?\nAnswer: 3472*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9220434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 PM and 12:05 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n - 2. Let a(t) = -t + 2. Let z be a(0). Suppose -1 + z = h - 2*u, -4*h = 3*u - 59. Let r be v(h). Solve 2*l - r = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of 3\/2*z**2 + 0*z + 2. Let y(x) = -2*x**2. Give k(y(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -12 - 552718.6\nAnswer: -552730.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -36543, 165 in decreasing order.\nAnswer: 165, 13, -36543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - ((-4)\/10 + 341\/(-110))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, 18, 9, 8, 21, 54?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151219 is divided by 976?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 298*z + 572. Determine x(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -1\/2*r**2 + 47500\/3*r**4 + 0 - 1\/6*r**3 - 2*r. Let m be c(-1). Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/(-12) + 4\/(-12). Let r(l) = -l**3 + 8*l**2 - 8*l + 10. Calculate the least common multiple of r(7) and (a - -8) + 2 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3288 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13233, 26435, 39617, 52767, 65873, 78923?\nAnswer: 91905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -147  (b) 2.4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (9 - 34) + 91 - 93\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**3 + 2*p. Let s be z(2). Let x be (4\/8)\/((-2)\/s). Let y(o) = -o - 1. Let f(v) = 5*v + 6. Let n(q) = f(q) + 6*y(q). Give n(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**5\/4 - 5*x**4\/2 + 3*x**3\/4 + 27*x**2\/2.\nAnswer: x**2*(x - 9)*(x - 3)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -39*t**2. Let d(p) = -4*p**2 - 3*p + 8*p - 6*p + p. What is a(d(x))?\nAnswer: -624*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, g: 1, m: 4, o: 1, v: 2}. What is prob of sequence mgv?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 667*d - 955. List the prime factors of c(8).\nAnswer: 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 11:25 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/14 and (-517)\/44 + (6\/8)\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d + 104. Let f be o(0). Let m = f - 67. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 26372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 887528951 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 169 = -25. Let j = 76 + b. Solve j*c = 12, -i - i - 5*c = -23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o + 54 = -44. Let s = 40 + o. Let y(u) = -93*u**3 + 11*u + 9. Calculate the remainder when y(-1) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 - 2*z - 1. Let s(b) = 4*b**2 - 28*b - 38. Let g(q) = -5*o(q) + s(q). Let l be g(-16). Sort 1, 0.5, -2\/7, l in descending order.\nAnswer: 1, 0.5, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -767*o - 25316. Give f(-33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 2:40 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 235701817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from btxzbtbbxtxtttbtatb.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/1078 and 91\/902?\nAnswer: 44198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.4, -3\/2, -4 in decreasing order.\nAnswer: 0.4, -3\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39 + 108. Let b be 1*46*((-3)\/6 - -1). Calculate the greatest common divisor of b and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3182)\/35002 - 3876\/(-44)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 1218*m - 60. Let d(w) = -2*w**2. Calculate o(d(s)).\nAnswer: -2436*s**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -456\/5 in -3\/7, -16, 3, -2\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.590751218 - -139.590750554. Let w = n + -136. Round w to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -10*t + 10. Is 20 a factor of u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*a = 50*a + 28. Let y be (2 - (-2 + 2))*35\/a. What is the third derivative of 28*t**y - 8*t**5 + 17*t**2 + 7*t**5 + 9*t**2 wrt t?\nAnswer: 1620*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(425) - sqrt(425)*2) + sqrt(119)\/(sqrt(7)*1))**2 + -5.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 9 = 2*o - 0*o, -2*o = 2*y - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.9 times 65?\nAnswer: -318.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and -0.3.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -593 + 1036. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15.78 - 16. Let t = 0.32 + i. Let l be (-52)\/44 - (-1 + 0). Put t, l, -0.5 in ascending order.\nAnswer: -0.5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2, -0.1, -6, -0.0207, 1, 3.3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 4*o = 9, 4*w + o + 40 = 6*o. Suppose 5*s = -2*c + 3, 5*s - 4 + 0 = -c. What is the smallest value in 1\/6, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1078 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -162385\/3 and -54127 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 15*t - 13. Determine u(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -3*b - 2*o + 188, 0 = -2*o + 10. What is the remainder when 269 is divided by b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*2\/(-4))\/((-18)\/108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17*x**3 + 7*x**2 - 383*x wrt x?\nAnswer: 102*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.151 and 4?\nAnswer: 0.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 750 and 25650?\nAnswer: 128250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1424, 421, -576, -1567, -2552?\n\"Answer: 3*k**2 - 1012*k + 2433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 119.5021 - -0.4579. Let j = 118 - m. Let s = j - 0.04. What is the closest to 1 in -5, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000025361 to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3123280, 3123274, 3123264, 3123250, 3123232, 3123210?\n\"Answer: -2*j**2 + 3123282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -105 divided by -31844?\nAnswer: 105\/31844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5184 - -5472. What is the highest common divisor of x and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33793339 + -5.\nAnswer: -33793344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 441 and 98.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -359 + 632. List the prime factors of z.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 1027  (b) -1\/3  (c) -190  (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 9, 26, 57, 108, 185, 294, 441?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 104728?  (a) 3.1  (b) -2\/3  (c) -0.2  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13741536?\nAnswer: 2, 3, 143141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1)\/((-1)\/246) + -55 + 55?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of 2*s**3\/3 + 2. Let u(j) = -10*j. Determine u(n(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.15904 - 424.34704. Let o = p - -429. Let y = -0.062 + o. What is y rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 - 8.9. Let v = 7 + d. Is 0.1 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 187017443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 954 and 42858.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + 25a0?\nAnswer: 25a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1067*(16\/12 - (-3)\/(-9)). What is the greatest common factor of 485 and o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 959 is divided by 55?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3753*f**2*k*q**2 + 6*f**2 - 6*f*k*q + 21*k + 2*q**2 + 4924 wrt f.\nAnswer: 7506*f*k*q**2 + 12*f - 6*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1124\/(-36) - 2\/(-9). Let m = d + 72. What are the prime factors of m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25.4 + 25.4227. What is c rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1965074 is divided by 982530.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -7*r**3 - 2*r**2 + 1. Let p be c(-1). Suppose 1 = p*l + 7. Let w be 1\/36 + (-3)\/12. What is the closest to l in 0, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.09 - -0.21. Which is the biggest value?  (a) x  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -17, -8, -11, -26, -53?\n\"Answer: -6*g**2 + 27*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/450774 and -169\/49770.\nAnswer: 15777090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 - 3 - 1 - 2247*z**2 + 17 - 3.\nAnswer: -2247*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 + -5 - (-2 + 1). Solve 2*q - 10 = -p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 6*o = -5*p - 61, 2*o - 62 = -5*p. Let h = 1880 + o. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -8*t - 54. Let b be (-37)\/5 + (-8)\/(-20). Let r be q(b). Solve y = -r*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (1 - 1) + 6 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 92645 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2)*2)**2*-2 + ((sqrt(128) - -1*sqrt(128)) + sqrt(2))**2.\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10252\/3 + 9023\/3. Let z = -408 - r. Which is the fourth biggest value?  (a) 0  (b) -0.5  (c) 0.04  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12 or -1883512?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45717*y + 37329*y - 3210*y.\nAnswer: 79836*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2133 - 260 = -5*n, -3*n - 5*h = -1442. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -34915 and 6706.\nAnswer: -28209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((1152\/40)\/(-6))\/((-1)\/675). Suppose -a - 17*a = -o. What is the highest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18722027*-0.5\nAnswer: -9361013.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 80733 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x - 1720 + 693 = 0. Calculate the greatest common factor of x and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 3*p - 15, h + p - 35 = -3*h. Calculate the least common multiple of 5 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2971001*q*t**3*u + q*t**2*u - q*t - 3*q*u + 421*q + 6*t*u - 7*t + u wrt t?\nAnswer: 17826006*q*t*u + 2*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2695384*h**2 + 1. Let y be q(-1). Let m = y + 6445383. Suppose -o + m = -6*o. What is o rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (135\/36)\/(3850\/(-140)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 3*l = 3, d = -4*d + 4*l. What is the greatest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 2)*(25 + 39 - 8)*(3*j - j - j + (4 - 7 + 0)*(3 - j - 3)) to i*j + f and give i.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 41677367 > 41677368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**2*y + 877*f**2 + 96*f*y - 6 wrt f?\nAnswer: 4*y + 1754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 122 - 122.0305. Let d = 4 + -3.97. Let c = d + j. Round c to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, o: 2, m: 6, k: 1, h: 4, p: 2}. What is prob of picking 1 o and 1 h?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1395 and 620.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 50 = -2*a. Let u = a - 12. Put u, 1\/6, -0.3 in ascending order.\nAnswer: u, -0.3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 786 + -481. What are the prime factors of b?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-3\/11)\/y*y*y)\/y**2)\/(y**15\/(y*y**15)) assuming y is positive.\nAnswer: y**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0548 and -1.1307?\nAnswer: 0.06196236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -94*l + 3731. What is j(40)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - -8. Let h = 10 - o. Let g = 11 - h. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130830 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -146, -279, -406, -527, -642?\n\"Answer: 3*z**2 - 142*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*g - 5310486 = -200*g. What are the prime factors of g?\nAnswer: 3, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.826899047 to three decimal places.\nAnswer: -0.827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -26*f**2. Let u(l) be the third derivative of -l**5\/60 + 2*l**2. Calculate u(b(c)).\nAnswer: -676*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 917748 and 369408.\nAnswer: 58735872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/4 and 59\/1318?\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4496026 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 + 24*w - 106. Let x be z(6). Solve 17*d = -x*d + 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2110122112 (base 3) to base 15.\nAnswer: e5e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-400)\/2080*1560\/(-24)*1*(-32)\/(-30)\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 184 - 1e8a?\nAnswer: -1d06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o - 3. Let f(i) = -i**4 + 2. Let r be -2 + 2*-2 - -3. Let g(d) = r*f(d) - 2*c(d). Find the second derivative of g(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i + 148. Let l(n) = 48*n - 698. What is l(a(u))?\nAnswer: -144*u + 6406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a + -29?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11856 and 30160.\nAnswer: 1719120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3192 and 79234617.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -70*h**3 - 15*h**2 - 29*h - 11. Let v be p(-9). Let o = v + -34872. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + -2 + (7 - 5) + (52 - 78)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*y + 1 - 1)*(0 + 0 + 9 + (3 + 1 - 5)*(1 - 3 - 2))*(2 + 0 - 8) as x + d*y and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -428940*l + 428936*l = 5*j - 2, 10 = -5*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, f: 2, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 5*y**3 - y**2 - 3*y + 4. Let b be (4 - -1) + (-9 - (-7 + 2)). Let z be u(b). Solve 4*f - 21 = -z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -4*r - 12. Let l(s) = -s**3 + 8*s**2 + 9*s + 3. Let q be l(r). Factor -5\/4*o**2 + 3\/4*o**q - 3\/4*o + o**4 + 1\/4.\nAnswer: (o - 1)*(o + 1)**2*(4*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41039617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 6084.32374 to the nearest integer.\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 - 18*d**2 - 17*d - 8. Determine p(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-32)*20\/(-45). Let s be 6\/(-8) - (-18)\/27. What is the second smallest value in s, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -29*d - 176 - 85 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 83 - 79. Suppose -v = 1, -23 = w + z*v - 400. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2. Suppose 7 - 11 = -2*b. Let x(a) = a**b + 6*a**2 - 5*a**2 - 4*a**2. Determine o(x(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00145862 rounded to 5 dps?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2*n = -8. Suppose -17 + 113 = 3*j. Let t be (-4)\/j*1*n. Which is the closest to t?  (a) -0.1  (b) -2\/5  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2*((sqrt(405) - sqrt(405)*1) + -2) + -2)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 130300 (base 6) to base 4\nAnswer: 2313330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 3*w - 3*w)*(2*w - 2 + 2) + w + 58936 - 59018 + w**2 + w.\nAnswer: -3*w**2 + 2*w - 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + -5*sqrt(19)*4 - (3 + sqrt(931)).\nAnswer: -26*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -15*h**3 + 4*h**2 + 4*h. Let x(t) = 76*t**3 - 19*t**2 - 19*t. Determine -19*k(u) - 4*x(u).\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -66*d**2 + 18*d - 4. Let t(x) = -66*x**2 + 13*x - 3. Calculate 3*a(i) - 4*t(i).\nAnswer: 66*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.07 and -0.585.\nAnswer: -0.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*c - 11*c - 123*c + 17*c - 123*c.\nAnswer: -180*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -322627092893890 - -0.1.\nAnswer: -322627092893889.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 33 - 413 = 0. Suppose 3*u - 2*s - 19 = 0, -u - 11*s = -6*s - 29. Let t = k + u. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 13217438, 52869727, 118956882, 211478909, 330435814, 475827603?\n\"Answer: j**3 + 13217427*j**2 + j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -84.5  (b) 3\/7  (c) 4  (d) 1\/4  (e) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3481970686.\nAnswer: 2, 28687, 60689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 4) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5772059015?\nAnswer: 5, 37, 163, 191413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -4, 14, 60, 146, 284, 486, 764?\n\"Answer: 2*n**3 + 2*n**2 - 2*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 3*b + 28638 = 3*s, -2*s = -3*b - 19092. Let z = -2729 + s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 + o - 4. Let w(j) = j - 19. Let p be w(16). Let l be u(p). Is 3 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, u: 2, b: 7, q: 1, s: 6}. Give prob of sequence ubsq.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1428\/70 + -10)\/((-3)\/(-90)). What is the greatest common factor of u and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-1\/14)\/i*i**(2\/11)*i*i\/(i\/(i\/(i*i*(i\/(i*i**(-7\/6)*i))\/i)))*(i\/(i\/i**(-9)))\/i assuming i is positive.\nAnswer: i**(-2323\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 9  (b) 1\/3  (c) -2  (d) 1  (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 283062330 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -899*f = -731*f - 179 + 2867 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j - 74674 + 0*j + 37339 + 37335.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*g + 12903 = 810*g + 3531 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*f - 360 = 23*f. Let h be ((-5)\/(-2) + -2)\/(10\/f). Which is smaller: h or -2\/71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 601222 + 90484. Suppose 0 = 3*x - 4*z - 925801, 4*x = -3*z + 542712 + a. Let j = 81397 + x. What is j rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 12196.\nAnswer: 36588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w - 9*w - 51*w = -781 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -588930, -588923, -588926, -588939?\n\"Answer: -5*s**2 + 22*s - 588947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3*(-3)\/(-9))\/(2\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - 4. Let s = 9.811 + -10.111. What is the nearest to 3\/4 in 5, a, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9204579*h**2 + 18*h**3 + 9204579*h**2.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 27*o**2 - 4*o. Let r(l) = -7*l**2 + l. Let y(v) = -q(v) - 4*r(v). Let p(z) = 623*z**2 + 2. Determine p(y(x)).\nAnswer: 623*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 4*o + 5. Let q(y) = 4*y + 5. Let f(d) = -4*q(d) + 5*u(d). Let z(n) = -7*n - 9. Determine 11*f(x) + 6*z(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3041*c + 9909 wrt c?\nAnswer: -3041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -3*w**2. Let v(f) be the second derivative of 33*f**5\/20 + 58*f**2 - 156*f. Let p(g) be the first derivative of v(g). What is h(p(i))?\nAnswer: -29403*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 305917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 37961 or 37962?\nAnswer: 37961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8779, 34986, 78629, 139714, 218247, 314234, 427681, 558594?\nAnswer: 706979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-70)\/8 + -2 + 10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide (-28)\/(-112) - (-566)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 1 - 4 - a + 4. Let b be u(1). Suppose 0*h - 2*h + 26 = 2*d, -2*h - d + 22 = b. Calculate the lowest common multiple of 4 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175*g - 4601246 + 103834722 = -59*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((1 + (sqrt(117) + 0 - sqrt(117)) - -4*sqrt(117)*1) + sqrt(52) + sqrt(1300) + -1 + sqrt(208)\/sqrt(4) + 3) + -4)**2.\nAnswer: -52*sqrt(13) + 8789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -352 + 605. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 3:35 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -4*w - 62. Let a be t(-12). Let o be 5500\/(-350)*(-1)\/((-2)\/a). What is the greatest common factor of 44 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r**2. Let i be x(1). Let p(s) be the first derivative of 4 + 0*s**i + 0*s - 1\/5*s**5 + s**3 + 0*s**4. What is the third derivative of p(y) wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 6 + 15*a**2 - 6.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 9*d**2 - 2*d + 6. Let k be s(-9). Solve -k*m - 24 = -18*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, l: 3}. Give prob of sequence zlz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -880*j - j**2 - 354 - 198 - 87 - 243 + 3*j**2 = 0. Calculate j.\nAnswer: -1, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10528644 and 1288.\nAnswer: 484317624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = f - 40. Let r be -36*-2*3\/24. Solve b = -f + r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-10))\/(1\/10). Suppose 0 = 3*b - 4*x - 52, 5*b + 14 = -u*x + 58. Suppose 17*s - b*s = 0. Which is bigger: 2\/25 or s?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(2\/9))\/(i\/(i*i**(-1\/2))))**(-12\/7)*((i**(-6)*i)\/i*(i**3*i)\/i)**(-3\/38) assuming i is positive.\nAnswer: i**(-799\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 + 14. Let v = x - 3. Calculate the remainder when 35 is divided by (24\/10)\/(v\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1 and 9288.\nAnswer: 9287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3*f - 3. Let j be x(-2). Suppose 22*h - 29*h + 21 = 0. Is h at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 405 + -361. Calculate the highest common factor of c and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-62)\/39 + (-20)\/12*-1. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -10 - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 247245?\nAnswer: 3, 5, 53, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.21 and -57790272622.44.\nAnswer: -57790272622.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.13, 2, 4, 0.01.\nAnswer: 0.01, 0.13, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -e9de?\nAnswer: e9e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 120*i + 362. Let w be u(-3). Solve 0 = -h - 1, -w*b + 2*h = h - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/13 and 59\/64.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, 1\/2, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57849?\nAnswer: 3, 11, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1\/((-7 + 306\/45)*10\/(-3462)) is divided by 158?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 2*g = 0. Suppose g = -4*j - 2*k - 274, 0*k + 347 = -5*j + 2*k. Let q = j - -115. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -793184 = 4*g - 7*g - 255233. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114*m = -329590 - 135986. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -108617 - -114?\nAnswer: -108503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 - 63\/5. Let k(s) be the second derivative of -4\/5*s**2 + 0 - 1\/10*s**4 - 1\/100*s**5 - 3*s - a*s**3. Factor k(o).\nAnswer: -(o + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -9*o**2. Let p(d) be the second derivative of -5*d**4\/12 + 83*d**2\/2 - 118*d. Let h(x) be the first derivative of p(x). What is m(h(b))?\nAnswer: -900*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 0, 5*z - 12 = i - 81. Let u = i + -64. Solve -s - 3*r = -4*s - 12, 0 = u*r - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 740127 (base 10) to base 15\nAnswer: e946c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -900*w - 2724. Determine n(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, l: 2, t: 1, v: 1, f: 3, q: 3}. Give prob of picking 2 f.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 80 = -0*s. Calculate the common denominator of -41\/5 and 19\/s*(-3 - -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -6. Suppose -i*h + 0 = -10. Let v = 2 - 3. Which is the nearest to v?  (a) h  (b) -4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 12 = 5*v, -4*x = -0*v + 3*v - 14. Solve -x = -2*q - 2*s - 0, 5*s - 45 = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1018 + 1016 = -r + 4*z, r - 2 = -3*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6427983479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 + 20*u + 37. Let d be l(-18). Find the second derivative of -d - 57*i**3 - 94*i + 2*i**2 + 79*i - 85*i**3 wrt i.\nAnswer: -852*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1500 and 225.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1152) + ((sqrt(2) - sqrt(4)\/sqrt(2)) + 4)**2 + (sqrt(50) - (sqrt(4050)*-1)**2 - (-1 + sqrt(4050))).\nAnswer: -4033 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -185 - 1*(-12)\/(-3). Let j = y - -199. Calculate the least common multiple of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119 - 143 + 24 - 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -11*q - 3. Let g = 32 - 25. Let p(t) = g*t + 2 + t - 2*t. What is 3*h(u) + 5*p(u)?\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 0 - 1)*(5*s - 3*s - 4*s) - 4*s + 4*s - 2*s + (175 - 237 - s + 0*s)*(-1 + 3 + 4) + 5*s - s - 2*s in the form o*s + h and give h.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 + 17. Suppose 5*c - 5*i = 95, -c - 12 + 1 = k*i. Calculate the highest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of j**5\/12 + j**4\/12 - 4*j**3\/3 - 5*j**2. Let s be c(-4). Suppose 4*w = s - 8. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from okokokiokk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -107 + 4702134\nAnswer: 4702027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-2) + -28)*(-69)\/69. Suppose 25*s - n*s = -336. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -130.66 and 0.5.\nAnswer: -130.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.4 + -0.1. Let t = 0 - -12. Suppose -4*g + t = -0. Put -4\/7, d, g in descending order.\nAnswer: g, d, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 0.83\nAnswer: -0.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 15 + (-73 - -63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -1\/3  (b) -3\/2  (c) 0.2  (d) -34  (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 10, u: 2}. Give prob of sequence uua.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 4*w + 0*w + 10*w**2 - 7 + 2*w - 2*w. Is z(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2229037 to the power of 1\/2, to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 133, 401, 847, 1483, 2321, 3373, 4651, 6167?\n\"Answer: 2*q**3 + 77*q**2 + 23*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2093756*w**5 + 54233*w**2 wrt w?\nAnswer: 125625360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26854.\nAnswer: 2, 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (5 - (5 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16.9 - 15.9. Suppose 2*l - 4 = -0. What is the closest to c in l, -2, 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w. Let o(c) be the second derivative of 1\/6*c**3 + 2*c - 1\/2*c**2 + 0. Let h(m) = 3*m - 5. Let z(j) = -h(j) + 5*o(j). What is z(y(d))?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 35693 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 11.2. Let y(x) = -x**3 + 7*x**2 + 8*x + 1. Let d be y(8). What is the smallest value in 4\/3, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -45600, -45506, -45434, -45396, -45404, -45470, -45606?\n\"Answer: -2*k**3 + k**2 + 105*k - 45704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 14) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, d: 1, m: 1, b: 3, j: 1}. Give prob of sequence mb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(7\/(-3) + 2). Let b(g) be the third derivative of 0 + 1\/12*g**4 + 0*g + 1\/20*g**5 + 1\/120*g**6 + 1\/6*g**3 + 2*g**2. Give b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0.41, 3, -1, 4\/7, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/((-3 + 15)\/3). Let k be (3*1)\/(-3 + 2). Sort b, -4, k.\nAnswer: -4, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 458780975?\nAnswer: 5, 43, 426773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -148395632 minus -66.8?\nAnswer: -148395565.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of 0*u + 1\/60*u**6 + 0 - 1\/6*u**3 + u**2 - 1\/24*u**4 - 1\/60*u**5. What is v(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*q**2 + 8 + 17*q**2 - 8 in the form z*q**2 + o + g*q and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 55\/4 of a meter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 29\/6. Let d be (85\/102*-6)\/((-48)\/(-8)). Which is the nearest to -1\/6?  (a) -0.3  (b) j  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/6)*h**(4\/9))**(1\/7) assuming h is positive.\nAnswer: h**(11\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -86 + 190. Calculate the remainder when (1 - 0) + w - 5 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 16336440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, a: 2, h: 1, x: 2}. Give prob of picking 1 n and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 2 = -0*y. Suppose a + 4 = 0, -3*a = -6*m + y*m + 36. Let o = -11 + 20. Calculate the least common multiple of o and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4794 divided by -17.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -9, -5, 2\/9 in decreasing order.\nAnswer: 2\/9, -2\/5, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 39 - 22. Suppose 0*n + 4*j - 12 = -n, -2*n - 5*j = -18. Suppose -260 = -3*b - o, n*b + 0*b - 4*o = 320. Calculate the highest common factor of b and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 16) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x**2 - 86*x - 21. Calculate j(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3 = z, -3*u + 2*u + 32 = -4*z. Let d(p) = 2*p + 16. Let k be d(z). Solve -6 = 3*r, -k*t - 7 = -t + 3*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 - 4*v + 6. Let g be j(5). Let l(r) = r**2 + r + 3. Let t be l(2). Suppose -33*q - t = -36*q. Sort q, g, -1 in descending order.\nAnswer: g, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - -1) + -5 - (-2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of 2*d**5\/45 + 113*d**4\/36 + 28*d**3\/9 - 316*d**2. Factor k(g).\nAnswer: 2*(g + 28)*(4*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 54*p + 872. Let n be l(-17). Sort -2, n, 3, 1 in descending order.\nAnswer: 3, 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 49 by 60.\nAnswer: 49\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 20119988 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: Are -0.7 and 0.003 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -37*v**2 + 52*v - 23*v**2 + 21*v. Let g(o) = 150*o**2 - 182*o. Let c(x) = 12*d(x) + 5*g(x). What is the second derivative of c(y) wrt y?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*s = -40*s + 73*s + 135 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.96064 + 0.96064. Let o = -1159\/5 - -231. What is the nearest to d in -5, 0.2, o, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**3 - 17*h**2 - 18*h**2 + h**3 - 90*h**2.\nAnswer: 2*h**3 - 125*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 71280*u + 135. Let y(f) = -10966*f - 21. Determine 7*o(h) + 45*y(h).\nAnswer: 5490*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -7826776 divided by 1956694?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 100*n + 2. Let m be w(1). Suppose 3*r - m - 297 = 3*v, 0 = -v. What are the prime factors of r?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 132\/20*(500\/(-30))\/5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -24794*z**2. Let j(v) = -4*v. What is b(j(i))?\nAnswer: -396704*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/(-72))\/((-2)\/(-6)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*1\/(35\/15). Sort 21, -2\/9, g in increasing order.\nAnswer: g, -2\/9, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 734950397 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.347 + 0.56. Round q to two dps.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 2*y - 2*i, 5*y + 2*i + 2*i = 120. Let g = y + -17. Let p(h) = h + 3 + 4*h - g*h. Give p(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-4)*16\/(-10). Is 1 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*z + z**2 + 201 - 63 + 206 - 542 + 198.\nAnswer: z**2 + 37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34502*z**2 + 4*z**3 - 3*z**3 + 10827*z**2 + 12849*z**2 + 10826*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 762202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 901 - 918. What is the second biggest value in 0.5, j, -0.4, 17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -4*u + 160972. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337586.\nAnswer: 2, 17, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 6658875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1638 and 936?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 49*g. Let n(i) = -9*i. Let a(y) = 28*n(y) + 5*r(y). Let z be a(-1). Solve -17 = -5*x - z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 - 16. Let t = -58\/5 + j. What is the biggest value in -1\/3, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -3*q - 32. Let i be s(10). Let u = i - -148. What is the remainder when u is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e, 1 t, and 1 s when four letters picked without replacement from uusuueueuuteueuuu?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*j**2 + 642 + 9897 + 15*j**2 + 11*j**2.\nAnswer: 20*j**2 + 10539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9062*n + 19002 = -8806*n + 314 for n.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 804 and 117987?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*(-8)\/42*(-7)\/2. Let s be 2 - 5 - (r - 1). Calculate the remainder when 12 is divided by (-2)\/2 - (-4 + s + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 615417084.\nAnswer: 2, 3, 31, 149, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is c in c**4\/9 - 46567*c**3\/9 + 682472*c**2\/3 - 18795932*c\/9 + 29774720\/9 = 0?\nAnswer: 2, 10, 32, 46523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**7)**(-1\/69)\/(l\/l**(-30)*l)**(-8))**45 assuming l is positive.\nAnswer: l**(264840\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -50 and 0.19.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 - 4*y + 8 + 2 + (1 + 2 - 1)*(2 + 0 - 1)*(0 + 0 + y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 974.9968 years?\nAnswer: 11699.9616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 11 + 0 + 8\/2. Suppose l = -3*w + 7, 3*w = 8*w - 5*l + h. What is the remainder when 6 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/31937780 and -57\/35?\nAnswer: 31937780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 2)*((-60 - 2 - 34)*(-4 + 4 + 5*a) - 2*a - 2*a + 3*a + (0*a - 3*a + 2*a)*(-4 + 3 - 1)).\nAnswer: 958*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 5 + 3 = 0. Suppose 5*d - 2*q = -9 + 25, 30 = 5*d + 5*q. Suppose 2*x - m = 1, d*x = -2*m + 31 - 9. Solve -o*l = -x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2448345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -5*o**4 + 68*o**3 - 172*o**2 - 80*o = 0?\nAnswer: -2\/5, 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 103121021211 (base 4) to base 3\nAnswer: 100120021121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 20 - -164134?\nAnswer: 164154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1341728\/13 not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p = p - 25. Suppose -112*a + 104*a + 40 = 0. Suppose -2*l - a*x = 19, -l + 2*x = 11 - 6. Sort p, l, -3, -2 in increasing order.\nAnswer: l, p, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**4 - 74*c**3 + 322*c**2 - 246*c = 0 for c.\nAnswer: -41, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express o - 4*o + 7 + o - 6 + 16*o**2 in the form a + x*o**2 + g*o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y + 1. Let w(x) = 3*x**2 + 10*x + 5. Let n(h) = 5*b(h) - w(h). Let d(c) = -102*c**2. Give n(d(p)).\nAnswer: -31212*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 359169 is divided by 5693?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1738.8901 - 1740. What is f rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 3 = -3*i, 3*j = 2*i - 6 + 25. What is the common denominator of -65\/66 and (-15)\/(-8) + (i - -9) + -2?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 3*j. Let k be y(2). Let n(w) = w**3 - 2*w**2 + 2. Calculate the remainder when n(k) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38 + -20. Calculate the remainder when 110 is divided by i\/(-45) + 142\/5.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-21))\/(21\/98).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6979089?\nAnswer: 3, 13, 178951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -116 + 170. Suppose -5*l + 134 = u + 48, 5*u + l - 406 = 0. Calculate the highest common divisor of b and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 604.3854 months to centuries.\nAnswer: 0.5036545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11544 + 11878 = 14*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12399766 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1162*u + 27*u + 911*u - 87291 = 453*u for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21*-319.\nAnswer: 6699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwaw when four letters picked without replacement from {w: 4, a: 16}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -5*g - 33, 6*l - 3*l + 4*g = -14. Let a be (5\/l - 1) + 5\/10. Let y(d) = -3*d + 2 - 4*d - a*d**2 + 11*d. Calculate y(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -225406, -450222, -675036, -899848, -1124658, -1349466?\n\"Answer: y**2 - 224819*y - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48033 is divided by 48022.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (((182\/(-8))\/(-7))\/1)\/((-224)\/(-896))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26.15689ns to milliseconds.\nAnswer: 0.00002615689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -144372 < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 7)*(-4 - 291\/(-75)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 165394738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 830499\/1844 or 449?\nAnswer: 830499\/1844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fki. What is prob of sequence fi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4, -0.066, 1\/3?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 3*w**2 + 3*w + 6. Let c be r(-5). Let i = c + -2. Let m = 64 - i. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2263 and 38.87537759.\nAnswer: 2301.87537759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of u**3\/3 - 2435. Let n(d) = -90*d**2 - 17*d + 17*d - 7*d**2. Give s(n(a)).\nAnswer: 9409*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-5)\/4*(-4118)\/(-355)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1801 - -1804. Let q be (60\/(-18) - -4)\/((-4)\/(-18)). Do q and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4950*k = -4963*k + 39. Solve -5*m = k*q + 20, 3*m = -4*q - 12 - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 5:00 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0454438818 to four decimal places.\nAnswer: -0.0454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 28 = -12*h + 13*h, 2*h + 5*j = -38 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + 1. Let o(j) be the first derivative of j**4\/4 - 4*j**3\/3 + j**2 + 2*j + 1. Is o(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of -59*r**7\/210 + r**6\/6 - 1181*r**5\/60 - 1594*r**2. Find the third derivative of z(o) wrt o.\nAnswer: -1416*o + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a**2 + 3*a**2 + 2*a**2 + (-3*a - 2*a + 4*a)*(-2 + a + 2) - 41*a**2 + 2*a**2 - 15*a**2 in the form m*a**2 + d + c*a and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(4 + 1 + -4). Let x(p) = -2 + z*p**3 + p**3 - 2*p**3. Let c(h) = -h**3. Suppose 3*m = -7 + 4. Determine m*x(q) - c(q).\nAnswer: 2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -753*d**2*i**3*o - d**2*i**3 - 13*d**2*i**2 - 22*d*i**3*o - 342*d*i**3 + i wrt o.\nAnswer: -753*d**2*i**3 - 22*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**(-2\/5)))\/((f*f**(-8))\/f*f)*(f**3*f)\/f**(-2\/13) assuming f is positive.\nAnswer: f**(751\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34080708.\nAnswer: 2, 3, 2840059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 485896 at least as big as 485895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - -8. Suppose 3*o + 0*o = -a + 45, -3*o + 39 = 3*a. Calculate the remainder when o is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 - f**2 + f + 1. Suppose 12 = 4*y + 8. Let g(u) = -125*u**4 + 865*u**3 - 2130*u**2 + 2365*u - 995. Let d(n) = y*g(n) + 15*a(n). Factor d(l).\nAnswer: -5*(l - 2)**2*(5*l - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 212012012 + 2?\nAnswer: 212012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -33 - -13. Let g = p + 19.9. Which is the nearest to g?  (a) 2\/11  (b) -1\/3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, c: 9, r: 2, k: 2}. What is prob of sequence ck?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 204*x**2 + 17*x - 131. Is l(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5411 and -0.3?\nAnswer: 1623.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)*2 + 4)**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.021 and 1.3.\nAnswer: -0.0273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 + 2*k - 8. Give x(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w - 7*w**3 - 41 - 15*w**2 + 93 - 4*w**2.\nAnswer: -7*w**3 - 19*w**2 + 3*w + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -12, -9, -6, -3, 0, 3?\n\"Answer: 3*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -9. Let f = -2.8 - d. Suppose 0 = -4*t - 2 + 14. Which is the nearest to 0.1?  (a) -1  (b) t  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 196 - 191. Suppose 3*x - 42 = -2*i, 17 = h*x - 3*i - 34. Calculate the lowest common multiple of x and 38.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 + -520 + (-1 - (-4 + -47))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 9, 3, -4.4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/5843, 4, -3, 0.4?\nAnswer: 2\/5843","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.23 - 12.13. Let h = 12 + r. Let o = 2.5 - -0.5. Which is the closest to h?  (a) 0.5  (b) 0.4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yxyyxyyyyyyy. What is prob of sequence xx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -226*b**2 + 8*b - 11. Let m(g) = -151*g**2 + 5*g - 7. Let d(o) = -5*l(o) + 8*m(o). Let t(x) = -x. Calculate d(t(w)).\nAnswer: -78*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2247 and 0.3392.\nAnswer: -762.1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 4*a - 9, -4*v - 8 = 2*a - 30. Let w = v + -3. Solve -w*i = i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1897216664.\nAnswer: 2, 7, 47, 113, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 - -46. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2)\/6)\/((-3)\/(-27)) + 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-51)\/((-1530)\/4))\/(384\/(-72))\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4560955542 a multiple of 5018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -939100 = -14*k - 5*y, -4*k - 95*y + 96*y + 268324 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6365 is divided by 289.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 348*m - 1871. Give a(7).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12120 + -11110?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 9*b**3 - 15*b + 15. Let n = 79 - 76. Let o(y) = 5*y**n + 2*y**3 - 4 + 3 + y - 8*y**3. Determine -15*o(a) - x(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -5*c - l, -13*c + 11*c = 5*l - 30. Let y be (-136)\/(-10) + 6\/15. Which is greater: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 - 26. Let z be (n\/3)\/(2\/3). Sort 0, 0.1, z in decreasing order.\nAnswer: 0.1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of 0 + 1\/150*m**5 + 1\/20*m**4 + 0*m - m**2 + 2\/15*m**3. Factor l(g).\nAnswer: 2*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 6) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/sqrt(3) + sqrt(12))*-4)**2*-6.\nAnswer: -4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 242*j**3 - j**2 - 108*j**3 - 96*j**3)*(0*j**2 - 3*j**2 + 2*j**2).\nAnswer: -38*j**5 + j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - c + 18 = 0. Let v = c - 18. Factor 2\/3*r**4 + 2\/3*r**2 - 4\/3*r**3 + 0 + v*r.\nAnswer: 2*r**2*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 51 - 95. Let f = -18 - l. Put 0, f, -5 in descending order.\nAnswer: f, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = -19*c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15466348 a multiple of 672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 836291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*l**3 + 0*l**3 - 5*l**3 + 14*l**2 + (4 + l - 4)*(-5*l**2 - 1 + 1).\nAnswer: -3*l**3 + 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*2\/(-4) + 0. Which is the nearest to -1?  (a) 0.8  (b) -0.2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*5 + -37 + 40. Suppose 0 = a*q - 16. Factor -6\/7*z - 3\/7*z**q - 3\/7.\nAnswer: -3*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33454385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.8014 + -18?\nAnswer: -22.8014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -14, 4, 22?\n\"Answer: 18*m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -100 - -702\/7. Are m and -0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + d + 30, 5*u = 4*d + 52 - 7. Sort 2\/19, -1, u in decreasing order.\nAnswer: u, 2\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12212010212000102 - 11?\nAnswer: -12212010212000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3972552 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - 9. Let s(p) = -70*p - 4128. Let u be s(-59). Solve b*c = u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 + -9. Let j = -17 + 22. Calculate the least common multiple of d and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 160 + -178 - (-47 + -2)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -28288.\nAnswer: 1\/7072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -204?  (a) -1  (b) 2\/17  (c) -5  (d) -0.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5053223 (base 6) to base 16.\nAnswer: -3ab6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**3 - 13*i**3 + 2 + 5*i + 2*i**2 + 6*i**3 + 0 + 0 - 2*i**3 + (0*i - 7*i + 2*i)*(0*i**2 - 3*i**2 + i**2).\nAnswer: i**3 + 2*i**2 + 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 5:20 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 5*d = -25 - 4, 5*d = 5*j - 15. Which is bigger: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.681 - 2.56. Round s to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = -7*u - 4 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04*-0.3.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 PM and 3:06 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27876)\/(-2828) + (-286)\/(-91).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -4*d**2. Suppose 19 - 43 = -4*v. Let o(s) = v*s - 16*s + 10*s - 3*s**2. Give o(g(t)).\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -106 + 29865263.6711.\nAnswer: 29865157.6711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 29622091.2 rounded to the nearest one thousand?\nAnswer: 29622000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22293?\nAnswer: 3, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 8310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 9. Let v = 48 + -49. Let t be (-1 - 13) + -1 + (v - -5). Put i, -5, t in descending order.\nAnswer: i, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iomwttq. What is prob of picking 1 o, 1 m, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of 0 + 0*y - y**2 - 1\/12*y**4 + 0*y**3 - 1\/60*y**6 - 1\/15*y**5. Suppose h(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*n + 12. Let d(y) be the third derivative of y**5\/20 - y**4\/24 + 32*y**2. Is d(n) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1004 + 926 = 11*y + 15*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 AM and 6:45 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 7*j**2 - 5*j + 8. Let u be p(-6). Let h = -1 + 5. Let d = u + h. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 257288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30 + -13. Let f = 20 - o. Suppose 325 = f*x + 67. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.6  (b) -9.1  (c) 0.5  (d) 0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5529 and 12711.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 222008847482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(396)*1*-2.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 12*m + 15. Suppose 227*b + 650 = 277*b. Determine r(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(153) + 2*(sqrt(153) - (sqrt(153)*1 + sqrt(153))))\/((sqrt(135)\/sqrt(5))\/sqrt(3)).\nAnswer: -sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -279 - -463. Suppose -3*u = -4*u - 2, -2*t + 3*u + w = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 60 - 51. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 5, 0.5, -18 in increasing order.\nAnswer: -18, -1, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 205839\/25 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.061 + 0.039. What is the nearest to h in -3, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2322 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bcg when three letters picked without replacement from {g: 5, b: 4, c: 1, u: 1, z: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 298094213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ororrrrrrrorrrrrrro. What is prob of sequence rro?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 46 - 48. What is the second smallest value in 0, 2\/7, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24043 (base 7) in base 14?\nAnswer: -2393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -117.1 + 116.6. Let c = 5 - 8. Put r, c, 1\/3 in descending order.\nAnswer: 1\/3, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 - -5. Let a(p) = p**3 - p**2 + 1. Let u(r) = -5 + 5*r**2 - 2*r**3 - 5*r + 5*r. What is d*a(v) - u(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 402204 is divided by 3866.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8690914 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f - 1. Let s be a(3). Suppose 0*g = 4*w + g - 13, 0 = -2*w + s*g + 1. Suppose -40 - 215 = -w*k. Calculate the greatest common factor of k and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**2 - 7*g + 7. Let w be o(-7). Let r = 31 + w. Suppose 109 + r = 3*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3.6?  (a) 0.10853  (b) 3  (c) -19  (d) -1  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 14984*r - 599363. Calculate d(40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1444 and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000623778412 rounded to seven decimal places?\nAnswer: -0.0006238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -44, -2, 54, 130, 232, 366, 538?\n\"Answer: h**3 + h**2 + 32*h - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 PM and 1:10 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 244*b - 237*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16605\/9674 + -3\/1382. Which is the second biggest value?  (a) -1  (b) 2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*q - 12 = 121*q - 93*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0\/(-2))\/((-1)\/(-1)). Suppose 0 = -3*h - t*f + f + 190, -2 = -f. Suppose -439 + h = -5*k. Calculate the greatest common divisor of k and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of i**5\/5 + i**3\/6 + i. Let x(r) = 3*r**3 + 2*r. Suppose -4*k - 32 = 0, 94*s - 4*k = 93*s + 37. Determine s*x(b) - 4*w(b).\nAnswer: -b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 215 is divided by 134?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6433?\nAnswer: 7, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 286*p + 2273. What is n(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i**2 + i - 7. Let b(p) = -4*p**2 - 2*p + 15. Let c(l) = 6*b(l) + 13*x(l). Let q be c(-2). Solve -q*o + o = -f - 7, f = -5*o + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (72\/27)\/((-2)\/15). Let l = a + 23. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*f + 9*f - 16*f)*(-340*f + 274*f + 215*f).\nAnswer: -2682*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/8 - (-2415)\/6888. Which is bigger: d or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14266 is divided by 142.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1162*c - 4837 = 4459 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-96)\/1160)\/((-14)\/(-35)))\/((-2)\/(18\/(-9)))?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g + g**2 - 3*g + (2*g + g - g)*(g + 3 - 3) + (-588*g - 70544 + 70544)*(3 - 2*g - 3) as h*g + s + o*g**2 and give o.\nAnswer: 1179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8050244 or 88552696\/11?\nAnswer: 8050244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -20 + -46?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.6983 + 0.0117. Let v = o + -3.11. What is the smallest value in v, -2\/27, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 318.947 millennia to months.\nAnswer: 3827364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 9:52 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 26631\/7, -1, -2, -59.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21 + 34. Suppose 2*a = -4*d + 11 + r, -d + a = 0. Let i(x) = 6*x + 10. Let g(z) = -5*z - 9. Let s(b) = -7*g(b) - 6*i(b). Determine s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -1, 4596713 in descending order.\nAnswer: 4596713, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, y: 2, g: 1, t: 2, e: 2}. Give prob of picking 1 a and 1 e.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(70\/112*28).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3622?\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 9 = -x, -3*x = 2*x + 2*k + 19. Suppose 5*p + 2*c - 68 = 0, -7*p + 6*p = 3*c - 11. Is -2*(x*1 - 3381\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-6)*18\/(-45)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-44)\/16 - -3)*0. Let v(x) = x**2 + x + 1. Determine v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 + -21. Let k = 11 + a. Suppose -2*m = k*p - 2, -3*p + 2*p - m = 2. Solve -8 = -6*s + p*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11*(-30)\/198*(-6)\/75.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 - 53.999922. Round b to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -27.\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/8 + (-3939)\/(-156). Which is smaller: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 24679?  (a) 1  (b) 0.05  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -3 - 56*n + 2 + 55*n. Let l be s(-6). Solve -l*h = -h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 8 = 0, 4*k - 19 = 2*r + 5. Let b be 3*(-118)\/(-231) + (-2)\/(-11). Factor 0*d + 0 - b*d**3 + 9\/7*d**k + 4\/7*d**2.\nAnswer: d**2*(3*d - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*k**2 - 6*k**2 - 19 - 18*k**2 + 23298*k**3 - 23297*k**3.\nAnswer: k**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h + 4*o - 34, -5*o - 5 = -566*h + 567*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 + -13. Suppose r - 3*s = 36, 3*r - 152 = j*s - 44. What is the greatest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 - 8\/(64\/(-664)). What is the greatest common divisor of 129 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.053, -4, -40155 in ascending order.\nAnswer: -40155, -4, 0.053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i + i**2 - 3*i + (-i + 0*i - i)*(0*i + 3*i - 2*i) - 4*i**2 - 5*i**2 + 2*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - j - 4*l + 12, -4*j + 4*l = 0. Suppose -125 - 7 = -j*h. Suppose -8*c + 14 = -h. Solve -5*n - c = 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f + 0*f - 4*f + f - f + 52.\nAnswer: -5*f + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110*m - 118*m = -456. What is the greatest common factor of 9 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -7617046*r. Let j(k) = 5*k. Calculate j(s(q)).\nAnswer: -38085230*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -26*q**3 + q. Let g be r(1). Let x = g + 28. Suppose -5*n + 6*n - 41 = -2*j, x*j = -4*n + 174. Calculate the greatest common factor of n and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 123 = -2*k, 4939*f = 5011*f - 4*k - 2796 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 + 1 - 4*i - 5 + (-3 + 0 - 3)*(-i + 0*i - 4*i) + 4*i - 2*i - 3*i + i - i + 2*i + i - 5*i + 2*i + (-1 + i + 1)*(-5 + 2 + 1) - 7*i + 3*i + 0*i.\nAnswer: 19*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2711378670 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12223 or -2\/5?\nAnswer: -12223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/((-7)\/(-80)) + -2. Let v = 123 - b. Calculate the remainder when v is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 1121?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of l + 0 + 1\/2*l**2 + 1\/6*l**3. Let c(s) = s + 1. Let t(o) = 2*o**2 - 38*o - 182. Let w be t(23). What is w*c(r) - 3*x(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 469, 416, 519, 856, 1505?\n\"Answer: 13*i**3 - 144*i + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50 and 39370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 + o**2 + 5*o - 1. Let b be q(0). Which is bigger: 3\/64 or b?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 2:27 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 28*h + 259. Let a be l(15). Let m = a + -678. Let p(z) = 2*z + 1. Let n(w) = w. Determine m*p(c) + n(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - -1. Suppose -o*d - 2*c = -18, -4*d + c + 5 = -4. Suppose -d*p + 57 = -k - 51, -4*p + 4*k = -136. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7417 + 7438. Let u(f) be the third derivative of 0*f + t*f**2 + 1\/210*f**5 + 0 - 1\/21*f**4 + 1\/7*f**3. Let u(g) = 0. What is g?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 600998 * -0.5\nAnswer: -300499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(396) + (sqrt(396)*2 + -2)**2 - (-2*sqrt(396)*-5)**2.\nAnswer: -38012 - 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*w**2 - 507 + 475 + w**2 to k*w + l + p*w**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (9 + 0 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00716399 rounded to five dps?\nAnswer: -0.00716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 0.4  (c) 0  (d) 108  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000594774 rounded to 6 dps?\nAnswer: 0.000595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 168\/54 + -2 + (18 - 7271\/396)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**5*r**(-3\/2))\/(r*r*r\/((r\/r**0)\/r))**47)\/((r**1*r)\/(r\/r**(-2\/5))*r*r*r\/(((r*r*r**(-2\/13)*r)\/r)\/r*r)*r**2*r) assuming r is positive.\nAnswer: r**(-18493\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4320 and 10125.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*q - 2*q + 1100 = -q. What is the remainder when 171 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190152 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*t**3 - 1183 + 6*t**3 + 129 - 3*t**3 - 424*t**4 wrt t.\nAnswer: -1696*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 62 and 1042?\nAnswer: 32302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2 + (-3 - 4 - 3)*(-3 + 0 + 5))*(0*d + 0*d + 7*d).\nAnswer: -126*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of y**3\/3 - 5*y**2 + 10*y - 7784. Let a be (-41)\/(-4) + (-2)\/8. What is m(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.02 - 0.22. Let d(u) = -u**2 + 6*u - 6. Let f be d(4). Suppose -4*l = -f*l. What is the nearest to l in -2, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -1329*k**2 + 2. Let b(w) = -5807*w. Determine b(x(t)).\nAnswer: 7717503*t**2 - 11614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {i: 1, u: 5, g: 3, e: 1, k: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 53 = 13. Let t be 4\/c*(-10)\/24. Let q = -0.473 - 0.027. What is the biggest value in q, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/9)\/(286\/(-156)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -94 + 92. Which is bigger: q or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 105\/(-210)*(20 + -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -108660355 - 0.06177.\nAnswer: -108660355.06177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s. Let x(j) = -52*j - 7*j**2 + 53*j + j**3 + 8*j**2. Let a(k) = -k + 2. Let u be a(0). Calculate u*i(q) + x(q).\nAnswer: q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 16355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t - 5*t + t - 2*t - t + 4*t + (1 + 1 + 0)*(-3 + 3 - t) + 2 - 2 - 2*t + t - 5*t + 2*t + (-2 + 1 - 3)*(6*t - 5*t - 5*t).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61629*r**3 - 30811*r**3 - 30817*r**3 - r**2 + r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -2. Suppose -2*t + 1 + 7 = m. Suppose 0 = -2*d - 2, -k - 24 = -t*k + 3*d. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 336 - 335. Let o(i) = -i**3 + 3*i + 2. Let d be o(-2). Suppose -40 = -4*u + d. Calculate the highest common divisor of b and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 9:20 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -170?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence skl when three letters picked without replacement from {k: 2, y: 1, d: 1, s: 2, l: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 1395*q**2. Let w(x) = x**2. Calculate w(j(y)).\nAnswer: 1946025*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r**2 - 2*r**2 + r**4 + (3*r - 3*r + 5*r)*(-3*r + 3*r + r**3) in the form z*r + v*r**2 + y*r**3 + x*r**4 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 714 + -709. Solve -4*z = -k + 19, -2*k + 35 = -v*z + 3*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.574 - 0.174. Let w = 111.2 + -111. What is the third biggest value in w, n, -4\/7, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18657 and 2607834?\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23370069 is divided by 511?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-2)*41\/(164\/(-16))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/20 - 1028\/5. Let i = k + 289. Suppose 3*p - 3*m = i, -6*p = -3*p - m - 80. Calculate the highest common factor of 65 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 12 + 2 - 3*l**3 + 4*l**3 to the form d*l**2 + k*l + c*l**3 + r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331) - ((sqrt(1331) + -2*sqrt(1331))**2 + 4)) + (2*(sqrt(891) + -1) - sqrt(891)).\nAnswer: -1337 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -647853*p**2 + 676029*p wrt p?\nAnswer: -1295706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from slllfsfffsylfgwls. What is prob of sequence lw?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of w**4\/12 + 225*w**2 + 7197*w. Let d(j) = 2*j. Determine y(d(p)).\nAnswer: 4*p**2 + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from slzzcsrszurc. Give prob of sequence rc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/9  (b) 0.2  (c) 168  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 24*t**2 + 4*t + 14. Let n(r) = 23*r**2 + 3*r + 14. Let k(c) = 7*n(c) - 6*z(c). Let b(l) = 8*l**2 - 2*l + 7. Let d(q) = 13*b(q) - 6*k(q). Give d(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -269, -728, -1385, -2246, -3317?\nAnswer: -4604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v and 1 k when four letters picked without replacement from {h: 1, g: 1, v: 1, u: 1, k: 1, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -74*x - 2. Let t(w) be the third derivative of -2*w**2 + 0*w**4 + 0*w + 0*w**3 - 107 + 1\/60*w**5. Determine z(t(f)).\nAnswer: -74*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(3) + 4 + sqrt(108)*1 + sqrt(3).\nAnswer: 4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bzzzzb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 11873*v - 896. Is h(47) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 + -9. Let u = -6 + d. Let l be 2 + ((-248)\/60 - -2). Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2*-5)\/((-10)\/5). Solve x*k = j - 30, j + 4*k = 2*k - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5550, 10806, 15752, 20382, 24690, 28670, 32316, 35622?\n\"Answer: -t**3 - 149*t**2 + 5710*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 17380, 17362, 17344, 17326, 17308?\n\"Answer: -18*u + 17398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1045 and 511385?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 3 m when four letters picked without replacement from yammymyyymmma?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 - 2*a**2 - 9*a + 3. Let d be s(4). Let y be 19 + -16 - (d*2)\/(-1). List the prime factors of 118\/2*(y - 0).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 7050*z + 1631. Is l(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1299705*v**3 - v**2 + 1299951*v**3 - 309*v + 309*v.\nAnswer: 246*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-36)\/(-126) + 3356\/14. Let s be (-4)\/(-28) - (625\/(-35) + 3). Calculate the greatest common divisor of w and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 70452?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 2*f + 27 + 2, 0 = 4*z - 3*f - 136. List the prime factors of z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3.9787 from -2036768.8.\nAnswer: -2036764.8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44\/24)\/11 + (-155)\/30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*j + t - 4, -2*t + 0 = 5*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 22\/5  (b) -3\/8  (c) 2  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iaibaaaabaailbaabil. What is prob of sequence aib?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1424 + 1563\/2. Let i = 14510002\/22561 + -8\/3223. Let z = m + i. What is the common denominator of 53\/16 and z?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9\/21)\/((-915)\/(-5124))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + 4*j + j)*(-6*j**2 + 0*j**2 - 2*j**2)*(0*j + 6*j - 4*j).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 21185735887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 274*l + 137*l + 139*l.\nAnswer: 2*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - (-1*sqrt(605) - sqrt(605) - sqrt(605) - sqrt(605) - sqrt(5))).\nAnswer: sqrt(7)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(180\/(-10))*2*16\/(-272).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15770040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*g**3 + 5*g**3 - 3*g**3 + (-g - g - 6*g)*(-7 + 7 - 3*g**2).\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4382 - 0.538195. Let v = c + 0.1. Let n = v - 0. What is n rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -j - 2*i - 0, 3*i - 27 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -36 - -78. What is the least common multiple of m and 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.2 - 2.282. Let c = 0.09 + a. What is c rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 294\/4 - 168\/(-112). Solve -f*l + 199 + 476 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 20. Let n be (u\/(15\/6))\/(-2). What is the tens digit of (22 + 4)\/(n*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*(t**(2\/7)\/t)\/t)**(-10))**(-43)*(t**(-1)\/t)**(-18\/7)*(t**1)**(-39) assuming t is positive.\nAnswer: t**(-341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 37*i - 43*i - 24276. Is -12134\/3 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**3*v*v**0*(v*((v\/(v*(v**(-5)\/v*v)\/v))\/v*v*v)\/v)\/v**2 assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, t: 3, i: 6, o: 1}. Give prob of sequence oi.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 2\/7, -0.3, 1, 6, -695538 in ascending order.\nAnswer: -695538, -0.3, -0.1, 2\/7, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -100562183 + 100562233.9999916. Let r = 51 - p. What is r rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15*(-10)\/180*-12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (-1)\/20*94. Let c = n - 29\/4. Calculate the common denominator of c and (-74)\/22*(-3)\/(-2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-50)\/(-30))\/((6\/1)\/18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.04 + 0.96. Let h be ((-6)\/48)\/(15\/20). Let x = 2 - 1.7. Which is the closest to q?  (a) -0.1  (b) x  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -789543034 to the nearest one million.\nAnswer: -790000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 256098.\nAnswer: 2, 3, 42683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 77*n - 169 + 85 + 77.\nAnswer: 77*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {t: 2, j: 1, e: 1, k: 1, p: 2, l: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-332)\/36 + -1 - -10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j**2 + 5*j. Let i be w(6). Suppose -94 - i = -8*v. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7506862, 30027437, 67561726, 120109729?\nAnswer: 187671446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25826433 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - y + 2)*(3 + 138 - 18).\nAnswer: -123*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minus 91078764?\nAnswer: -91078760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1469 is divided by 44?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 1 + 17 = 0, 0 = 4*f + 4*b + 16. What is the nearest to 0.07 in 0.5, f, -4\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 3 - 2 = d, -3*d = -9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*t - 2*f - 18, -3789*f = t - 3788*f + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -4*f - 2. Let m(l) = -5*l + 107. Is m(f) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/6 - (-42)\/9. Suppose -4*g + 17 = -p + a, 0 = -5*g + 4*p + 26. Solve -2 = -2*m - x, 4*m - g*x = -0*m - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 11*b - 15. Give w(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kvvjjaggvvgggk. Give prob of picking 2 g and 2 k.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 19, -1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 4, 11, -1\/165?\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -21, -20, -19?\n\"Answer: v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19559087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - j - 2. Let z(w) = 31*w**2 - 2*w - 10. Let t(v) = -6*a(v) + z(v). Let o(l) = -73*l**2 - 7*l - 4. Calculate -6*o(s) - 11*t(s).\nAnswer: 31*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3*x**2. Let h be (-962)\/(-6) - (-2 + (-8)\/(-6)). Let q(f) = -4*f + 6*f - 134 + h. Determine q(u(a)).\nAnswer: -6*a**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 150 = 153, -3*p - 3*y = 1005. Let f = p - -337. Solve -3*c = 3*l - 8*c - 4, 0 = 3*c - f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5233\/32175 + -23\/117. Let u = z - 5881\/6600. What is the common denominator of -9\/28 and u?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 393*a**3 + 288889*a - 288889*a + 537 wrt a.\nAnswer: 1179*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 + 5*k + 9. Let c be g(6). Suppose 3*f + 4*b = 1087, -f - 2*b = -c*f + 720. Let h = f - 210. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -9*g. Let m(l) be the first derivative of -17*l**2 - 13*l**2 + 3 - 11*l**2 + 37*l**2. Calculate s(m(q)).\nAnswer: 72*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7\/((-35)\/8)*(-3 + 8). Let r(f) = -12*f**2 + 23*f + 13. Let a be r(k). Round a to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -579, -549, -501, -435, -351, -249, -129?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5433.8 - 5434. Which is the third biggest value?  (a) r  (b) 3  (c) 115\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10559383753 take away 32?\nAnswer: -10559383785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (10\/(-1))\/(-100)*2. What is the second smallest value in 5, y, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-44)*847\/42*-3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of -n**3\/2 + 3*n**2 - n. Let x(g) = -g + 1. What is c(i) - 6*x(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jljlwwljwwwzjw. Give prob of picking 1 l and 1 z.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 14. Let k = -8 + 16. Let v = k + -8.3. Which is the third smallest value?  (a) f  (b) 2\/5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 26 = 2*p + 74 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 PM and 8:23 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10125 - -10137. Let s(y) = -y**3 + 14*y**2 - 24*y + 33. Determine s(j).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2012074 is divided by 23671.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23*x**5 + 4*x**4 + 25*x + 5?\nAnswer: 460*x**3 + 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10010110100011001011001 (base 2) to base 5.\nAnswer: -2230330314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58, -244, -564, -1030, -1654, -2448, -3424, -4594?\nAnswer: -5970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -596 + 980. Let t = 707 - u. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-272)\/6188)\/(2\/(-7)) + (-1962)\/78 + -6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 111844 - 74447. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 9. Let t be (-261)\/891 + 70\/385. Put m, t, 0.048 in decreasing order.\nAnswer: m, 0.048, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36650?\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07373616 rounded to 3 decimal places?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15479 - -23650. What are the prime factors of i?\nAnswer: 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -219*(2 + 3)\/(-15) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 1529864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.18897 - 3.\nAnswer: -3.18897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 434684985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3919*l + 2098*l = 2603*l + 115024 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -174 - -2135\/12. Calculate the common denominator of 39\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1405 - -2972. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20120 - 10?\nAnswer: -20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 4*y**2 - 77\/2*y + 98 - 1\/8*y**3 = 0.\nAnswer: 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -441524 - 17?\nAnswer: -441542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2\/63)*v**45\/v*v)\/(v\/v**(-44))**1)**(-10\/9) assuming v is positive.\nAnswer: v**(20\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*l - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 3, -5, -228\/41?\nAnswer: -228\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -211, -615, -1019, -1423, -1827?\nAnswer: -2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = i, 7*a - 30 = 5*a - 6*i. Calculate the remainder when 1324 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 57 + 38 = 0. Suppose -172 = -c + f. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.5  (b) -34  (c) 1\/5  (d) -4\/3  (e) 0.64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 571*f - 2559*f - 5723*f.\nAnswer: -7711*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-822)\/5 + (-4)\/(-10). Let n be 1*2 + 352\/y. Let x be (2007\/2676)\/(3\/(-4)). Does x = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2719*w + 2809*w - 2047 - 4433 = 0 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -5*x - 52, -5*s - 4*x - 113 = 231. Let f(j) = j**2 - 81*j - 304. Let z be f(-5). Let i = s + z. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -955?  (a) 5  (b) 0  (c) -20  (d) -4  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2246 + -13475\/6. Factor 1\/6*q**2 + 0 - l*q**3 + 1\/6*q - 1\/6*q**4.\nAnswer: -q*(q - 1)*(q + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84921876.\nAnswer: 2, 3, 13, 181457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-360)\/(-48)*1\/((-9)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v + 253239000 = 31*v + 55*v. What is v rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of -3\/2*b**2 + 0*b**3 - 62 + 3\/4*b**4 - 73*b. Differentiate u(y) wrt y.\nAnswer: 9*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1064948 to the power of 1\/2, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.067 - 21.933. Let w = -21.93 - z. Round w to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*p**2 + 2*p**2 - 2 + p + 18*p**4 + 3 + p**3 - 2 to the form x*p + u + n*p**3 + m*p**2 + v*p**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 126 and 462?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -18566, -18564, -18560, -18554, -18546, -18536?\n\"Answer: i**2 - i - 18566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50 and 44150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -4*f**2 + 3*f. Let k(u) = 7*u**2 - 5*u - 1. Let w(m) = 3*k(m) + 5*z(m). Differentiate w(x) with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + v = 5*d - 65, 0 = 4*v - 4*d - 44. What is the greatest common factor of 45 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -21*q + 6. Put -3, -0.1, -5, q in decreasing order.\nAnswer: q, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 0. Let r(i) = -3*i - 6 + c. Let b(w) be the second derivative of w**4\/12 - 325*w. Give r(b(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52489 is divided by 362?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 8. Let f(t) = -t**3 + 4*t**2 + 4*t + 5. Let b be f(5). Suppose b = y - 1 - 1. Calculate the least common multiple of a and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 282 - 276. Let f be (-256)\/n*(-300)\/40. What is the highest common factor of 64 and f?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 76?  (a) -1\/20  (b) 5  (c) 10  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g + 6*n = 46, -5*n = -202*g + 201*g - 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.13 - -3.06. Let k = 3.6 - m. Let l = k + -0.47. Which is the third biggest value?  (a) 0.5  (b) -5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1406 divided by -12.\nAnswer: 703\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2304*s + 815*s + 2735*s + (0 + 1 + 2)*(-3*s + 6*s - 5*s))*(-2 - 2*s**2 + 2).\nAnswer: -2480*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -544 or -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 270, -2379, -9566, -23559, -46626, -81035, -129054?\n\"Answer: -378*h**3 - h**2 + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -8*k**3 - 11*k**2 + 78*k - 104. Calculate a(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2110096?\nAnswer: 2, 43, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2256 - -83482\/37. Let z(c) = c**2 + 4*c + 1. Let b be z(-4). Which is bigger: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 95 and 36905315.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s**5 + s**4 - s**4)*(4 + 0 - 2) + 215*s**3 + 108*s**4 + 38*s**4 - s + 2*s**5 - 148*s**4.\nAnswer: 8*s**5 - 2*s**4 + 215*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3*s + 2. Let a(z) = 4*z - 2. Suppose 5*o = -t - 15, o - 9 = -2*o + 3*t. Determine o*a(p) - 3*g(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**5 - 3*w**5 + 3*w**5)*(-2 + 3 + 1) + 4521804*w**5 + 2*w**2 - 2*w**2 - 4530246*w**5.\nAnswer: -8444*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2422499*f**5 - 2738954*f**2 wrt f.\nAnswer: -145349940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -41*f. Let o(p) = -3*p. Calculate o(n(u)).\nAnswer: 123*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -11a555 + -219?\nAnswer: -11a773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 120*p + 122*p = -21, -t + 4*p + 27 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d**3 + 40*d - 40*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 17844142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56 divided by 1897.\nAnswer: -8\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of i**5\/60 + 7*i**4\/24 - 11*i**3\/6 + i**2. What are the prime factors of t(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9\/5 + (-2)\/(-10). Let n(t) = l*t**3 - 3 - 6*t**3 + 2*t**3 - 3*t. Let f(c) = 1. Let m(y) = -3*f(y) - n(y). Find the second derivative of m(h) wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 4 - n**2 + 0*n**2 + 12.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2729.97823 + 2730. Round w to four dps.\nAnswer: 0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.90075 - 7.8. Let h = g + 0.9. Round h to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - 1)\/(6\/3). Let s = -15 + 14.3. Let o = s + 0.3. What is the closest to z in 1, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of m**3\/6 + m**2. Let n(z) = z**2 + 11*z + 11. Let i be n(-1). Let h(o) = 129 - 67 - 68 + 3*o. Determine i*h(s) + 6*a(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 5*j - 1136, 5*j - 10*l - 1134 = -12*l. List the prime factors of j.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5\/11 - -3\/11. Which is the nearest to -2\/5?  (a) r  (b) -0.2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1599 a factor of 168606555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2272 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, -8\/1585131, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1138 = -6859*t + 6727*t + 1370 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 5:09 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h = 700*h - 2996*h - 87590 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**3 + 3*f**2 + f - 19. Let s(g) = 10*g**2 - 9*g - 9. Let h(i) = 9*i**2 - 8*i - 8. Let c(o) = 6*h(o) - 5*s(o). Let a be c(2). Is p(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 469 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 - 19. What is the highest common divisor of 24 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 + 4*x + 11. Let d be u(5). Suppose d*c - c = 20. Suppose c*n + 3 = 15. Put 2, 0.5, -2, n in ascending order.\nAnswer: -2, 0.5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 0.2, -57.\nAnswer: -57, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 7*s - 5. Let v be x(-8). Suppose -185 = 2*a - 3*l + 26, -2*l = -v*a - 309. Round a to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1471*l**3 + 11253*l**3 + 13992*l**3.\nAnswer: 23774*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 - (-1 + 1 - 7). Let j = -5 + y. Do 1\/2 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 355223 - 3010?\nAnswer: 352213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 + 3236430*o. Let s(f) = f**2. Calculate a(s(y)).\nAnswer: -y**4 + 3236430*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(33)\/(sqrt(55)\/sqrt(5)) - (-1*sqrt(3)*1 + sqrt(3) + sqrt(3))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -253 divided by 8273.\nAnswer: -253\/8273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (189\/(-27))\/(1\/(-1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 141445232 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 3*j**2. Let q(a) = -390*a**2. Calculate q(o(x)).\nAnswer: -3510*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*u + 0 + 1\/6*u**3 + 1\/2*u**2.\nAnswer: u**2*(u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 111 - (47 + (-8 - -19))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 108843659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468) + sqrt(468) + 1 + -4 - sqrt(468))*-5*4)**2 + -2.\nAnswer: -14400*sqrt(13) + 190798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/154 and -73\/23688.\nAnswer: 260568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 5*k - 69. Let v(t) = -6*t + 67. Let h(u) = 7*n(u) + 6*v(u). Let r be h(-16). Is r < -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 355 divided by -654625.\nAnswer: -71\/130925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 327192659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of -k**3\/3 + 7*k**2\/2 - 2*k + 72. Let w be (-2 - -1) + 2 - -1. Let a be w*(-6)\/(-4)*2. Determine y(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 319 + -329 + 4 + -3 + 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + -a68?\nAnswer: -a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-704)\/(-14) - (-4)\/(-14). Let w(n) = 142*n + 1004. Let m be w(-7). Calculate the highest common factor of t and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92116 - 42032 = 4032*i - 838*i for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1a1 + 3b7?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5264017159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 238719471.\nAnswer: 3, 79573157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -68 + 7 + 72 + -34?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u + 15. Calculate p(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.95 + 0.05. Let r = -1.63 + -0.37. Let k = 0.1 + 0.3. Which is the second biggest value?  (a) r  (b) k  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-18)\/96*(-104)\/2 and -19\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1049 in 0, 2\/11, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17 - 1) + (-90 - -96) + (1 - 13).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*f + 0*f + 16*f + 3*f - 3*f + f + (-5 + 2 + 1)*(f - f - f))*(-2 + 2 + 3)*(-32*f**2 - 29 + 29) in the form v*f**3 + c + o*f**2 + g*f and give v.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 149 in -2, -3505, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 9*v - 14*v + 20 = 0, 5*f + v + 14 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of c**3 + 2*c**2 + 4. What is the second derivative of k(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 11:23 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.38 times -165.6?\nAnswer: -559.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-2785.\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -a (base 13) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/110 and 31\/100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**2 + 117*s + 120*s + 208*s + 9*s**2 - 445*s.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**18)**30)**(-36) assuming w is positive.\nAnswer: w**(-20520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5424 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 24, -3*y = -6*y + 3*k + 180. Solve -2*a - 16*a - y = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}