{"text":"Question: What is the smallest common multiple of 312 and 6120?\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -49 + bed8?\nAnswer: be8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(76) - (sqrt(76) - (3 + (sqrt(76) - (1 + sqrt(76)))))) + sqrt(76) - (0 + (sqrt(76)*-2 - sqrt(76)))))**2 + 0.\nAnswer: 512*sqrt(19) + 19520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2, -14, -98, -290, -626?\n\"Answer: -6*g**3 + 30*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 260435, 520890, 781345?\n\"Answer: 260455*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x + 2. Let p be j(-4). Let i be 12\/6 + (-9300)\/p. Suppose -5*u + i = 4*o + 931, 3*o = -u + 742. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(6\/11)*y*y*y)\/y**(3\/16))\/((((y\/(y*y**19*y*y))\/y*y)\/y)\/(y*y**(-13\/5))))**(-6\/29) assuming y is positive.\nAnswer: y**(-62721\/12760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 125504621 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 AM and 8:59 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 30  (b) -4  (c) -164  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2)*(-h - h + 3*h) + 3 + h - 3 - 18*h - 58 + 58.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 57564 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 1, -119, -127, 4, -39 in decreasing order.\nAnswer: 17, 4, 1, -39, -119, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5*(-5 - 1) + 0. Suppose v = -14*z - z. Let t(k) = -4*k**3 + 7*k**2 - 7*k + 16. Let a(r) = -r**3 + 2*r**2 - 2*r + 5. Calculate z*t(l) + 7*a(l).\nAnswer: l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -7 - 2\/3*j**3 + 0*j**2 + 0*j. Let l(k) = k. Let o(s) = 5*s. Let q(d) = -6*l(d) + o(d). Calculate r(q(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/5 + 109161*g\/5 + 6779514\/5.\nAnswer: -3*(g - 36449)*(g + 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 6:10 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2391, -13144, -31069, -56172, -88459, -127936, -174609, -228484?\n\"Answer: -x**3 - 3580*x**2 - 6*x + 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11905033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*f**2*i*t*y + 7*f**2*t*y + 2*f**2*t + f**2*y + 16*f*i*y wrt i?\nAnswer: 4*f**2*t*y + 16*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 6520696 divided by 1630174\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**2 - 14*n + 1. Let o be x(-7). Put 5, 0, o, -4 in descending order.\nAnswer: 5, o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 300599 + -0.02712.\nAnswer: 300598.97288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 167286203 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 354 and 257648811.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (36\/(-10) - -4)\/((-1)\/20). Let d(r) = 3*r**2 + 6*r + 37. What is the hundreds digit of d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 703 (base 11) to base 14.\nAnswer: 44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 - -21. Let q(r) = -27*r**3 - r**2 - r - 1. Calculate the remainder when q(-1) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/12 of a week?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/679 and 34\/5015773.\nAnswer: 5015773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 678 = 733 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/1)\/((-34)\/8 + 5). Let z be (-6)\/b*4\/(-3). Solve -y - z*y - 13 = -2*q, 5*y = -3*q - 28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**4 + 50948*m**3 + 216596160*m**2 + 308567526400*m + 5183301632000.\nAnswer: 4*(m + 17)*(m + 4240)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.07 and 337770.285.\nAnswer: 337770.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -24*c**3 + 5*c**2 + 3*c + 75. List the prime factors of m(-6).\nAnswer: 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4 - 134*g**3.\nAnswer: -g**3*(g + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72635 is divided by 6596?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7369252 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -48*b**3 + b**2 + 4*b + 2. Give p(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 + 15 + -17 - -25.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2*i + 4 = -0, 0 = 2*i. Let f = 3 - g. Suppose -3*o + 12 = 3*m, f*m - 4 = 5*o - 3*o. Are 4\/15 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2*g - 18. Calculate k(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5*17*12\/612\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -220070 (base 10) to base 6.\nAnswer: -4414502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8.727 and 0.4?\nAnswer: -3.4908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4 - 3)*0\/(-3). Suppose m - s - 162 = o, 3*m + 5*s - 213 = 281. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 514 - 491. Suppose -2*f = -r - 570, -1436 = -5*f + z*r - 26*r. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2358 - 2358.4. What is the biggest value in 3, -60, c, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 22*s - 47. What is k(6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*z = 30*z + 40*z + 55*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26396 + 5939077\/225. Let j be (-28)\/(-25) + 1\/(-1). Let t = r - j. What is the third smallest value in -0.3, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = s + 11, 2*s + z - 1 = 2. Suppose 20 = o - 3*k, -7*o + 40 = -3*o - s*k. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*h**2*q**3 + h*q**3 - 87*h + 141666*q**3 wrt h.\nAnswer: -4*h*q**3 + q**3 - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**6\/(((n\/(n**6\/n)*n)\/n)\/n))\/((n**(-1)\/n)\/(n\/(n\/n**(-1\/3)))) assuming n is positive.\nAnswer: n**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of 19*a**3\/6 - 21*a. Let v(m) = 7*m + 6. Let w(c) = 20*c + 17. Let b(i) = -17*v(i) + 6*w(i). Determine b(f(q)).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110110 + -11?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 195 + -188. Solve 10*o - c*o + 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 212 - -162. Suppose -74 + c = 3*t. Suppose 3*i + a = 5*i - 46, 4*i - t = 4*a. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = 3*t. Suppose 4*m - 2*m - 838 = t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 + 0)*(0*x + 0*x - 5*x + x + x - x + (2 + 2*x - 2)*(-1 - 2 + 2) + (2 - 3 - 1)*(x + 1 - 1)).\nAnswer: -48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -5433146 (base 10) to base 7\nAnswer: -64116035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qyxlquv. Give prob of picking 2 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2363*q - 2382*q - 2385*q + 14124*q - 2349*q - 2208*q - 2356*q.\nAnswer: 81*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 42 + -c?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0878 and -50994?\nAnswer: 4477.2732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 42519199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -87.1 - -87.4. What is the third biggest value in -6\/43, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 32*o - 33*o = -42, 18 = 2*w + o. Solve -w*g - 18 - 66 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10555 divided by -2624?\nAnswer: 10555\/2624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/40)\/(1\/(-106)). Let i = h + -31\/12. Which is smaller: i or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 155175851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5*c**2 - 110*c - 195. Calculate t(46).\nAnswer: 5325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 81\/9 - ((-16)\/(-2) + -3). What is the second derivative of -189 + 69*h**2 - 2*h + 144 - 2*h - f*h**2 wrt h?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -240 divided by 8\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -41, 1, -4, -2, 21 in increasing order.\nAnswer: -41, -4, -2, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {p: 4, i: 4, f: 1, j: 4, q: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45\/(-24))\/(10725\/(-68640))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-5)*j*j)\/(j**(-1\/3)*j))**9 assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 746*t - 828*t + 1558 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 708*m**2 - 36516*m + 103. Determine l(56).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.9 - 2.9. Suppose -4*n - 3*x = -35, 5*n - 45 = x - 5*x. Put 0, m, n in decreasing order.\nAnswer: m, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-9)\/1 - -138) + 0. Solve 0 = 97*j - k*j - 96 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 4*d - 12. Let g be t(6). Let z be (-108)\/16 + (-3 - (-33)\/g). Let j(r) = -4*r - 21. Let k be j(z). Solve 13 + k = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4c (base 16) to base 8.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 281 (base 15) to base 5.\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**2\/7 + 2*k\/7 + 40\/7 = 0 for k.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 5*a**2 - 4*a - 11. Determine t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 582240.5 to the nearest 10000.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-81)\/180 - (-1)\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -7*d - 5. Let v(s) be the first derivative of 4*s**2 + 6*s + 2. Let k(g) = 4*v(g) + 5*z(g). Let j be 1\/2 + (-15)\/(-6). What is k(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.49 - -1.58. What is the third biggest value in -0.5, 12, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -13. What is the least common multiple of l and 66\/(-4)*(-6)\/9?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(208) - (-4 + 3*sqrt(208))) + 1)**2 + -2.\nAnswer: -80*sqrt(13) + 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 5 = -g. Suppose -162 = -26*a - 55*a. What is the greatest common divisor of a and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 262639 - 262686.5372. Let t = 0.1572 + o. Let y = t - -48. What is y rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 - 1 = 14*b. Solve -7 = b*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - -5 - (-7 - 63\/36*4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5*b + 213 = -3*t, -4*b = 2*t - 218. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*j + 37*j + 43*j + 34*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (((-54)\/4)\/3)\/((-410)\/(-20) + -31)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 689 and 1074151.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.7918 times 0.3\nAnswer: 0.23754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 3*c**2\/2 - 2. Suppose 2*a = -3*a + 5. Let j be v(a). Put 5, -0.3, j in decreasing order.\nAnswer: 5, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 26*l**2. Let j(z) = 12*z**2 + 14*z. Let m(r) = -6*r**2 - 8*r. Let a(n) = -4*j(n) - 7*m(n). What is a(x(t))?\nAnswer: -4056*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1) + -158 + 189 - -6\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4391 by -1.\nAnswer: -4391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 233*c + 24. Let q be (-6)\/(-4) + (-15)\/(-20)*2. Suppose -t = -3*t + 5*s + 4, -27 = -q*t - 3*s. Is h(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 440 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10110111100 (base 2) to base 15.\nAnswer: 67d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 95345520 by 467380.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 - 9. Let t be (-6 + k)*(-21)\/(-6). Let u = t - -10. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p. Let h(v) = -26*v - 10. Let s(r) = -28*r - 9. Let z(a) = 5*h(a) - 4*s(a). Let l(j) = j + 1. Let k(d) = -28*l(d) - 2*z(d). Determine k(x(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-4))\/(470\/752).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*y - 159959 = -2*m - 160039, 0 = 5*m - 5*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 5*l - 7*l + 211, 4*o - l = 835. Calculate the remainder when o is divided by 85.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 4*d - 28, -d = 4*n + 39 - 1. Let x(s) = s**3 - 4*s**2 + 6*s + 12. Calculate the remainder when x(5) is divided by ((-72)\/(-10))\/((-4)\/n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 3)*(2 - 5 + 1)*(3*w - 3*w + 2*w)*(-2*w**3 - 2*w**3 - 2*w**3).\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.25  (b) -13  (c) 4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 334326.\nAnswer: 2, 3, 55721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -3*r - 6. Suppose r*w = -2*v + 6, -3*w + 5*v = w - 39. Solve 4*f - 5*p = w, -4*p = -f - 2*p + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 4) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20\/11 - 89\/55. Let d = 5.18 + -2.18. What is the third smallest value in 2, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, o: 2, w: 2}. What is prob of picking 1 u and 1 o?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 1 = p, 2*s = 5*p + 11 + 15. Suppose -s*h + 5*h = 4. Does 22 divide (99\/(-27))\/(h\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/742 and (-1403)\/2760 + ((-2)\/(-45))\/(16\/48)?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*z + 6 + 38 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 48199292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.51 + 1.5364. What is u rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15557\/426 - -4\/213. Calculate the common denominator of d and 13\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 2 = -2*q, -3*n = 5*q - 8*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 5*p + 6 = 0, 5 = 4*p + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35512.23757896 - -8.6.\nAnswer: -35503.63757896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-40))\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/((-9)\/((-81)\/72)))\/(74\/16)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 176 and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/15)\/(4\/(-10)). Let s(d) = -49*d**2 + 9*d - 11. Let x(r) = 25*r**2 - 5*r + 6. Let w(y) = -4*s(y) - 7*x(y). What is the tens digit of w(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 34*v + 7. Give m(4).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*u**2 + 171*u - 3*u**2 + 3*u**2 - 173*u to s*u + f + m*u**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 0*m - w = -6, -3*m - 4*w - 1 = 0. Suppose -2*p = 2*v - p - 4, 0 = -m*v + p - 4. Solve v*s - s = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 25*m - 27*m + 2*r, 3*m - 16 = 2*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of 451*n**5\/5 - 3*n**4\/4 + 1168*n**3\/3 + 1288. Find the third derivative of g(l) wrt l.\nAnswer: 10824*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(0 - 1)*(-256)\/4. Let b = 120 + r. Suppose 3*w - b = -4*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d + 153 = -2*d. Suppose 0 = 3*x, -4 = 5*g - 4*x - 39. What is the remainder when d is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 0*t = 5*p + 34, -5*p + 11 = 4*t. Calculate the remainder when 11 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -0*c - 2*c. Let u(l) = l + 20. Calculate the smallest common multiple of c and u(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 14\/9, -12, -807, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 81  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 0*p**3 - 5 - 3*p + 2*p**3 in the form j*p + o + l*p**3 + y*p**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*g**5 + 1325*g**4\/2 - 10170*g**3 - 25705*g**2\/2 + 1605*g + 3640 = 0 for g.\nAnswer: -56, -1, -2\/3, 1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 16*l**2 - 191*l - 11. Let s be w(12). Which is the third biggest value?  (a) -3  (b) 16\/7  (c) 3\/7  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in v**3\/5 + 32*v**2\/5 - 68*v\/5 = 0?\nAnswer: -34, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 i when four letters picked without replacement from iiyyi.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l. Let u(w) = -85*w**2 - 115*w**2 + 2*w - 9*w**2 - 4*w**2. Give n(u(v)).\nAnswer: 426*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(32\/((-384)\/(-6)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 18, y: 1}. Give prob of sequence tt.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - -2. Let p(j) = -11*j**2 + 4*j - 5. Let a(o) = -12*o**2 + 5*o - 6. Let d(t) = h*a(t) - 5*p(t). What is the derivative of d(u) wrt u?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/3 - 5\/2. Let k(u) = u**2 - 3*u + 6. Let i be k(3). Let m be (-40)\/15*i\/20. What is the third biggest value in 0, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1*sqrt(2057))**2*-1 + 4 + ((sqrt(2057)*1 + sqrt(2057))**2 - sqrt(2057)) + 2 + 0 + sqrt(2057).\nAnswer: 14405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 11*u**2 + 3*u + 3. Let r(x) = -2*x**2 + x. Let l(d) = -i(d) - 6*r(d). Suppose 31 = w + 3*w - 5*v, 5*w - 41 = 4*v. What is l(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72403 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1112 + 12278\/11. Suppose -1300 = -30*b + 5*b. Suppose 0 = 29*g - 42*g + b. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-42)\/p**3*(p**(-31)*p)\/((p*p**29)\/p*p) assuming p is positive.\nAnswer: p**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.35 + 0.55. Let r = -6.899999914 + t. What is r rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yzo when three letters picked without replacement from {y: 2, o: 1, z: 7, x: 2}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 5:40 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -101856 divided by 8?\nAnswer: -12732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 659\/66 + -108\/11. Let o(h) = -3*h**3 - 2*h + 3. Let w be o(2). Let u be (-6 - -11)*2\/w. Which is the closest to 0.1?  (a) p  (b) -1\/7  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4729092 and 11822730.\nAnswer: 23645460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 165*i**2. Let m(v) = 11*v**2. What is 44*m(d) - 3*y(d)?\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3091.049 - 3085. Let g = o - 6. Let f = 0.163 - g. What is f rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80195 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*y**2 + 18018 - 18018 + 49*y**2 - 25*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23504 and 197236.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6594034 rounded to 3 dps?\nAnswer: 0.659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-3)\/(-9)*-3). Put q, 1, 3 in decreasing order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*c + 15 - 38, -37*l + 40*l - 38 = c + 4*c for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 90.09353 millimeters to centimeters.\nAnswer: 9.009353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -161 (base 8) in base 11?\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/11  (b) -0.051  (c) -685  (d) -0.4  (e) -33  (f) 0.2  (g) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -18064, -144396, -487278, -1154986, -2255796, -3897984?\n\"Answer: -18046*p**3 + p**2 - 13*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of 1\/9*n**3 + 2\/105*n**7 + 1\/144*n**8 + 0*n + 0 - 6*n**2 - 1\/90*n**6 - 1\/24*n**4 - 7\/90*n**5. Factor g(l).\nAnswer: (l - 1)*(l + 1)**3*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164*l**3 - 203*l**3 + 669*l**3 + 373*l**3.\nAnswer: 1003*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 4*c**4 + 2*c**2 - 2*c - 15. Let f(u) = -11*u**4 - 7*u**2 + 7*u + 46. Let i(y) = -2*f(y) - 7*r(y). Find the first derivative of i(o) wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(-13)\/u)\/u*u**(-14)*(u**(-2\/3))**(20\/9) assuming u is positive.\nAnswer: u**(-769\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19\/72 + 191\/72. What is the common denominator of i and -51\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1250 - 136554?\nAnswer: -135304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.96 + 3.26. Let m = 8.061 - 0.061. Let f = -5 - m. Which is the smallest value?  (a) f  (b) -1  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 77841 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -6 - 6, -4*r = 3*x - 24. Suppose 3*j + 2*v - 6 = 0, r*j - 4*j - 4*v = -2. Suppose -j = -3*b + 4. What is the remainder when 3 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -w**7\/840 + w**6\/360 + w**5\/120 - w**4\/24 - w**3\/3 + 1. Let y(o) be the third derivative of t(o). Factor y(c).\nAnswer: -(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 3498868212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of -151*n**5\/10 - 295*n**4\/12 + 8*n + 6. What is the third derivative of l(u) wrt u?\nAnswer: -1812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1828930.89038 - -2.6\nAnswer: -1828928.29038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1535 = -58*t + 4381. Is 34 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26559870 divided by -3.\nAnswer: 8853290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 525803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1 and 14479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61826*m - 6490 = -62475*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 13*b**2 + 16*b - 2. Let n(x) = 8*x**3 - 90*x**2 - 111*x + 15. Let m(i) = -15*l(i) - 2*n(i). Determine m(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 13*p - 1 + 11 + 10 + 12*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102970?\nAnswer: 2, 5, 7, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 383291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -128 + 376. Find the common denominator of (-18)\/30 + k\/30 and 39\/(-12)*(-3)\/((-51)\/(-10)).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1022230 divided by -60\nAnswer: 102223\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.44?  (a) 12  (b) 5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6980 is divided by 869.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -6*w**2 - 8*w + 17. Let f be m(5). Let r = f + 360. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 6382225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0*-0.51007\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 413500034 - 3?\nAnswer: 413500031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2430 + 2426. What is the closest to 0 in -63, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -a - 4. List the prime factors of (9 - 15)*(-7)\/a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3958147\/45052 + 1\/6436. Let t = 13593\/154 + k. What is the common denominator of t and -145\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54313*x = 54296*x - 357 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 4*b**2 + 279*b + 3915. Determine a(-20).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 89986 + 14*a - 13*a + 284*a**2 - 89350 wrt a.\nAnswer: 568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -2\/7, 2\/793, 4\/3, 18, 2\/5 in ascending order.\nAnswer: -2\/7, 2\/793, 2\/5, 4\/3, 17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 13*n**3 - 481*n**2 - 2*n + 74. Let w be i(37). Suppose -3*s + 8*s - 10 = 0. Let o be s\/(-3)*6\/(-2). Solve w = o*a + a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/11  (b) -0.1  (c) 1  (d) 25995  (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - 4*g - 3. Let n be z(6). Let t be -5*1*4\/(-5). Let j = n - t. Which is the third biggest value?  (a) j  (b) -0.1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1326, -1306, -1286, -1266?\n\"Answer: 20*q - 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 9) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b + 4*b - 2*b)*((14 - 32 - 83)*(4*b - 6*b + b) + 5*b - 7*b - 3*b)*(3*b**2 + 0*b**2 - 2*b**2).\nAnswer: 288*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.050642 to 3 dps.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 10*l**2 + 11*l - 11. Let m(a) = -a**2 + 10*a. Let q = 5 + 4. Let r be m(q). Calculate the remainder when 11 is divided by p(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 4)*(-16294701 + 119*q**2 + 16294701 + q).\nAnswer: -119*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*p**2 + 130*p**2 - 72*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03 * 53217986.\nAnswer: 1596539.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of 3541*q**7\/42 + q**5\/10 + 3503*q**3\/2 - 8336*q. Find the second derivative of i(h) wrt h.\nAnswer: 70820*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 6:06 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 101111111111110 (base 2) to base 15\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/6 and 15\/38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3)\/2)\/(3\/6). Let g(j) = -7*j + 3. Let f(b) = -1315*b + 7. Let v(l) = -262*l + 1. Let q(y) = -4*f(y) + 20*v(y). Determine r*q(a) - 8*g(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**4\/2 - 7800*k**3 - 1299680*k**2 + 11518540800*k + 5451873034240.\nAnswer: 5*(k - 2224)**2*(k + 664)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 937215 to the power of 1\/2, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (78\/15)\/((-4)\/(-10)). Suppose g = 2*g - a. Suppose 0 = 3*c - 2*c - 2*b - g, 4*c - 78 = -5*b. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54b7b (base 15) to base 4.\nAnswer: 1001232200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 8 = 4*i, 2*i - 38 = 3*g - 8*g. Let c be ((-232)\/(-6)*(-30)\/(-20))\/2. Suppose 5*r - 44 = -c. Solve 5*d = r*d - g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + c - 1 = 2*z, -5*c - 7 = 2*z. What is the smallest common multiple of 10 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 4*y - 14, -4*k = -0*y + 3*y - 36. What is the remainder when 8 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 8:42 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5 = 2*u, -2 = u - i - 5. Suppose p = -u*p + 126. Calculate the remainder when p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530847 to the power of 1\/2, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -242*u**3 - 65328*u**2\/5 - 862082*u\/5 + 8556\/5 = 0.\nAnswer: -31, -23, 6\/605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(12\/136*(-22)\/33).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 49704229 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -759*u**3 + 16*u**2 - 6*u - 5. Let t(c) = -380*c**3 + 10*c**2 - 5*c - 3. Determine 3*n(z) - 5*t(z).\nAnswer: -377*z**3 - 2*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 36a8 + -5?\nAnswer: 36a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -151 + 154. Solve -3 + 3 = b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1677 - 600. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15844 - -15864. Solve 3*f - 4*y = -2, -19*f = -g*f - 2*y + 16 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 177561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 153.01 - 4.51. Let x = y + -148. Sort 1, 17, 2\/5, x.\nAnswer: 2\/5, x, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lbbl when four letters picked without replacement from bllibllibllbbbbllbl?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -4*x - 2 - 26, 2*c + 10 = 2*x. Let p(l) = -l**2 + 6. Let m(q) = q + 1. Let f(y) = 4*m(y) - p(y). What is f(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 8 = -38. Let w be (-108)\/30 + (-4)\/10. Let x be w\/(-10) - (-288)\/c. Solve 2*u - x = -0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1596 - -1595. Sort v, -0.039, -1\/4, 0.02 in descending order.\nAnswer: 0.02, -0.039, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45 + (-13 - (-11 - (3 - 15))) + 20.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 138921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: d43b (base 16) to base 3\nAnswer: 2202112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1027 - 1027.511. Round d to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8246455 by 1.\nAnswer: -8246455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -262 - -253. Let i be (1 - (-3)\/w) + 20\/6. Solve 0 = -4*y + 4*g + i, 4*y + 21 = y - 3*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**6*f)**(-37)*f**(1\/9)\/(f*f\/f**(-8\/5)) assuming f is positive.\nAnswer: f**(-11812\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -i**5\/2 + 2*i**4 + 29*i**3\/2 + 12*i**2 = 0.\nAnswer: -3, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6416728.\nAnswer: 2, 431, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -66*v. Let g be f(-1). Let b(i) = -30 - 29 + i + g. Calculate b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of -k**7\/490 + 41*k**6\/140 - 81*k**5\/5 + 10935*k**4\/28 - 19683*k**3\/14 - 128*k**2. Let n(v) = 0. What is v?\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m. Let t(f) = -5*f**2 - 2488*f. Calculate c(t(o)).\nAnswer: -10*o**2 - 4976*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 4, -119, 3, 5 in increasing order.\nAnswer: -119, -9, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2455457042 to the power of 1\/3, to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(24\/16*2\/6). Is i equal to 12\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.216 + 133.784. Let r = a - 134.0000452. What is r rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*x - 3*x. Suppose -5*i - q + 44 = 0, i - x*q + 22 = 4*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9*(-505 - -522)\/((-25)\/9 + (-4)\/18).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -76240*d**2 + 41*d - 60 + 152483*d**2 - 76246*d**2 in the form s*d**2 + t*d + i and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x + 15. Let p be c(-8). Suppose -2*g + 135 = -p*g. Let h = g - -32. Solve 2*i - 14 = -2*n, 0*n = h*i - 2*n - 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 2*w**2 + 5*w - 4. Let k be h(3). Suppose 0 = 3*x - 5*y - 919, -k*x + 309 = -x + y. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + -1. Let b = 1 + g. Let p = -2706\/203 - -370\/29. What is the nearest to 1\/2 in p, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 654 divide 93452676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/4)\/((-19)\/152).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30906450 and 259500.\nAnswer: 309064500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 727*r**2 + 5207*r + 826. Give s(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*b - 3*b - 3. Let h be (-3 - 3*(-2 - -1)) + b. Sort h, -2, -5, 3 in increasing order.\nAnswer: -5, -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1382?  (a) 2  (b) -229  (c) -1  (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 145993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 5*k**4 - 701800*k**3 + 24626863790*k**2 - 49251622200*k + 24625460205 = 0.\nAnswer: 1, 70179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = 4*o + 58. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -18*z**2 + 248*z + 10. Is 36 a factor of s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 divided by 164?\nAnswer: 165\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 41358 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/989 and 4\/50439?\nAnswer: 50439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2674 by -14.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 112 = 6*k. Let j be (-2)\/(-5) + k\/(-35). What is the first derivative of -3 + 3*u + 3*u - 3 - j*u wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/10*(-440)\/176?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 5*v = 642 - 616, -3*g - 22 = -v for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29*g**6 - 15*g**5 - g**4 - 12*g**2 - 2*g + 1.\nAnswer: -3480*g**3 - 900*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**(-1\/7)*u))**(-24)*u*u**(-2\/25)*u*u*((u*(u\/(u*u**(-7)))\/u*u)\/u*u*u*u)\/u assuming u is positive.\nAnswer: u**(1486\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of 1\/9*p**3 - 1\/360*p**6 + 2*p - 1\/90*p**5 + 1\/72*p**4 + 1\/2*p**2 + 0. Let x(b) be the first derivative of d(b). Factor x(a).\nAnswer: -(a - 1)*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/63 and -149\/810.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7051 is divided by 1005?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/3)\/(1312\/160 - 8)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 116048331 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2 - 2 + 686*k - 338*k - 349*k. Let z(t) = 5*t - 3. Let s(l) = -18*l + 10. Let n(b) = 3*s(b) + 10*z(b). What is -5*h(q) + n(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -2*s**5\/11 + 84*s**4\/11 - 962*s**3\/11 + 1680*s**2\/11 - 800*s\/11 = 0.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 20*h + 13. Give t(10).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3833 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1375 (base 9) to base 16\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.2856*4\nAnswer: 1.1424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 11, -3 in increasing order.\nAnswer: -5, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -5*b**3 - 939*b**2 + 82473*b - 1275. Calculate r(-253).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3330 + -46.\nAnswer: -3376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*i - 20 = -18*i. Suppose 0*b - i*m = -4*b + 8, 2*b - 22 = -4*m. Sort b, -18, -1.\nAnswer: -18, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12\/13 - -11\/26. What is the nearest to l in -1, -0.3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-q + 4*q + 4*q)*(-4349*q**3 + 1186*q**3 - 38867*q + 38868*q) in the form l*q**4 + n*q**3 + a + i*q**2 + p*q and give l.\nAnswer: -22141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + z + 3*p - 25, 3*z - 26 = -4*p. Suppose -5*y - z*h + 3*h = -1971, -h + 1979 = 5*y. Suppose -8*t + y = -3*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i\/(i\/((i\/(i*i**(5\/4)))\/i))))\/((((i\/i**(-5)*i)\/i)\/i)\/i))\/(i\/(i\/(i\/i**(-1))*i))**3)**(-34) assuming i is positive.\nAnswer: i**(255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + z + 2*z**3)*(1 - 2 - 1) + 4*z**3 - 2*z**3 - 3*z**3 - z**2 + z**2 + z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.9 or -2101?\nAnswer: -2101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -4*f**3 - 3*f**2 - f - 1. Let i(t) = -t**3 - t**2 - t - 1. Let a be -2*(-1 - (-2)\/4). Determine a*i(j) - w(j).\nAnswer: 3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 617581955 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1048730 divided by -3?\nAnswer: 1048730\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*r + 654 + 186 = 0 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*d - 26773 + 7279 = 0. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138473403 is divided by 1617?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18.4 + 22. Let y = v + 0.4. Let k = 0.2 + -0.1. Sort k, y, -2 in descending order.\nAnswer: y, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 389.81 + -393. Let c = -2.79 - g. What is the third biggest value in 2\/7, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*w - 6*w - 54*w = 646 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2576663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 - 2*g**2 - g. Let y(f) = 6*f**3 + 12*f**2 + 7*f - 2. Calculate -5*l(i) - y(i).\nAnswer: -11*i**3 - 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 32 = -8. Suppose -7 = 4*w + 3*f, 2*f = -4*w - 2 - 0. Let a(j) = 5*j - 3. Let u be a(w). Solve -u*r = -v*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2))**(-8\/3)\/(h**(4\/9)\/h**(-2\/17)))**(2\/49) assuming h is positive.\nAnswer: h**(1460\/7497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -722*v = -356*v - 359*v. Which is smaller: v or -139\/227?\nAnswer: -139\/227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -81, -82, -83, -84, -85, -86?\n\"Answer: -j - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*5\/1)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 180387, 180404, 180419, 180432, 180443, 180452, 180459?\n\"Answer: -u**2 + 20*u + 180368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -4*j**4 + 12800*j**3 - 13787136*j**2 + 5138546688*j - 150730702848 = 0?\nAnswer: 32, 1056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/17072684 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -3294225\/7 - 1\/7*c**2 - 3630\/7*c = 0.\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1\/3050502?\nAnswer: 1\/3050502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-21)\/(-7) - (1 - 0). Suppose -5*p = d + m*d - 13, p - 2 = 0. Factor -64*o**2 + 0*o**3 + o + 65*o**2 - o**3 - d.\nAnswer: -(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-2\/3)\/t*t)\/t*(t\/(t\/(t*t\/(t*t**(1\/11)))*t))\/t*t*((t**(1\/3)*t)\/t)**(-17\/2)*((t**(1\/2)\/t)\/t*t)**(-1\/23)*(t*t**1)**(2\/5) assuming t is positive.\nAnswer: t**(-3503\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9537 + 9571. Let j(r) = -r**3 + 36*r**2 - 67*r - 37. Give j(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -980, -1970, -2976, -4010, -5084, -6210, -7400, -8666?\nAnswer: -10020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 o, and 1 j when three letters picked without replacement from {z: 2, t: 1, f: 2, o: 1, j: 1, p: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102221 (base 5) to base 16.\nAnswer: d6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/2*20\/2. Suppose 0 = 4*z - 7*z - 4*l + o, -50 = -5*z - 5*l. Suppose 0*t = -z*t + 70. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 - a. Let g = -2 + 2. Let n be c(g). Suppose n = -3*u + 4*u. Solve -5*f = -u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 4*w**2 - 2*w + 1. Let d be g(-2). Let u be ((-7)\/d)\/(3\/(-9)). Which is greater: -6 or u?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 7:09 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*q + 26*q + 18 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 830709?\nAnswer: 3, 11, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 708 and 0.036.\nAnswer: 708.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xdodzdzrodxkdzxdzd. Give prob of picking 1 d and 3 x.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r = 10*r + 676 - 728. Solve 5*l - 4*v + 59 = 57, 0 = 5*l - r*v + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-5))\/(148\/20 - 7). Let r be 21\/(-18)*(87\/(-21) - m). Factor -r*j**3 + 0*j**2 + 20\/9*j**5 + 8\/9*j**4 + 0 + 0*j.\nAnswer: 4*j**3*(j + 1)*(5*j - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**4\/8 - 1741*r**3\/2 + 31389*r**2\/4 + 36611*r\/2 + 76703\/8 = 0. What is r?\nAnswer: -6973, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -15. Let l = 7 + x. What is the third smallest value in 1\/5, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 4*m - 43 = 0, 0 = 2*r - 3*r - 2*m - 5. Let p(c) = c**2 + 13*c + 13. Let x be p(r). Let v(s) = -2*s - 11. Calculate v(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -54791603 and -191176.\nAnswer: -54982779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2263549262 rounded to 5 dps?\nAnswer: -0.22635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 74 + 19?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 - h**2 + 1. Let n(j) = 32*j**3 - 12*j**2 + 12. Calculate n(v) - 12*u(v).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g + 24 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 4*j - 21 = 61, -4*z = 4*j - 128. Let t(h) = -h + 32. Let m be t(-3). Let s = z - m. Which is greater: -1\/50 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000006243 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-766)\/(-12) - 260\/312. Calculate the greatest common factor of 21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 28166003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/4*(270\/(-50) - -5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6141 and 9078?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -3*g**4\/4 + 12*g**3 - 45*g**2\/4 = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7616\/(-546) + 3 + 11?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-46*g - 11277 + 11277 + (3*g - g - 3*g)*(-2 + 0 + 1)*(0 + 0 - 2 + 0 - 2 + 4 + 2 + 4 - 4 + (5 - 2 - 2)*(5 - 1 - 2)))*(-3 - 1 + 6).\nAnswer: -84*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*l - 3*d - 30 = -14*l, 0 = 4*d + 8. What is the remainder when (64 + 2)\/(9\/6) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of -4*k**7\/735 - k**6\/140 + k**5\/210 + 8*k**2. Determine h, given that l(h) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41*b**3 - 32*b**3 + 25 - 36 to the form o*b + t*b**2 + a + d*b**3 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d - 4*x + 40 = -4*d, 0 = -14*d - 4*x + 76. Put -2, d, 5, -4, -8 in decreasing order.\nAnswer: 5, d, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/5)*y)**(-32))**(-1\/6)*(y**(-6)*(y\/(y*y\/(y*y**2))*y)\/y)**(23\/2) assuming y is positive.\nAnswer: y**(-626\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/45*(1 - 10). Let p(n) be the third derivative of 0 + 0*n - a*n**2 + 2\/3*n**3 - 7\/30*n**5 - 5\/12*n**4. Suppose p(u) = 0. What is u?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -12. Suppose 21 = v*w - 3. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + s = -3*g - 9, -51 = -3*s - 3*g. Let d(c) = 13*c**2 + 16*c + 5. Let o(w) = -32*w**2 - 40*w - 12. Let n(k) = s*d(k) + 5*o(k). Factor n(u).\nAnswer: -4*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 12\/143?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1543776 - -1543775.70000025. Let l = 6.7 + -7. Let z = s - l. Round z to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence whe when three letters picked without replacement from eewwewheeeehew?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 - r**2 + r - 4. Let i be w(0). Let n = -31 - i. Is -26 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 PM and 1:34 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 320, 314, 308, 302, 296, 290?\n\"Answer: -6*g + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + -6 + 6 - 0 - -128. Let l(c) = h*c + 132*c + 224*c**2 - 260*c. Let b(t) = -2*t. Give l(b(u)).\nAnswer: 896*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**15\/(((v\/(v\/v**(-3\/25)))\/v)\/v))\/((v**3*v*v)\/v**(-1\/9)))**(-30) assuming v is positive.\nAnswer: v**(-5404\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 65083.73 decades?\nAnswer: 650837.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j - 1. Let h be x(-19). Let o(c) = -2*c + 38. List the prime factors of o(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002787 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 402488*t*x + 90*t + 645331088*x wrt t?\nAnswer: 402488*x + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -31, -50, -71, -94?\n\"Answer: -x**2 - 16*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 569 + -5.2\nAnswer: 563.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 s, and 2 f when four letters picked without replacement from {s: 1, n: 1, f: 5, m: 5, b: 1, l: 2}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5428, -21372, -47946, -85150, -132984, -191448, -260542?\n\"Answer: -5315*s**2 + s - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -8960*i - 797618. What is j(-89)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -6*j + 1695. Let n be i(0). Let p = -1202 + n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -1. Let s(q) = q**2 + q - 1. Let d be s(x). Suppose -v + 7 = z, 3*z + 0*z + 3 = d*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(1*sqrt(68) - sqrt(68)))\/(-2*sqrt(484)) - (-2*sqrt(68) + -5 + sqrt(17)*2)**2)*-2 + 1.\nAnswer: 40*sqrt(17) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -584, -598, -612?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, c: 11}. Give prob of sequence ccwc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14.1686413461 + -0.2313581439. Let p = -14.4 - i. What is p rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83770465561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*k - 2*k - 2*k)*((-k - 4 + 4)*(-2*k + 0*k + 4*k) - 18*k**2 - 41*k**2 + 15*k**2) as b*k + m*k**2 + z + f*k**3 and give f.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 58.3 - 61. Let l = 7.3 - 7. Let s = y - l. Sort -0.2, 0.5, s in decreasing order.\nAnswer: 0.5, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -368\/2807?\nAnswer: -368\/2807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 13209, 26418, 39593, 52716, 65769, 78734?\n\"Answer: -3*w**3 + w**2 + 13227*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + 0 - (-18)\/3. Let d be ((-2)\/(-25))\/(13\/65). Which is the biggest value?  (a) d  (b) 0.1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 9:56 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.4, -1\/9, -23, -3, -0.01?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, j: 5, l: 1, v: 2}. What is prob of picking 2 j and 1 v?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 684 by 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**3 - 1721*h**2 - 6872*h - 6868 = 0. Calculate h.\nAnswer: -1717, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1378, 2752, 4120, 5482?\n\"Answer: -3*f**2 + 1383*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -3  (b) -0.1  (c) 0.09  (d) -5  (e) -0.058  (f) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 - 2*c + 4. Let l(o) = -o**2 + 8*o - 4. Let s be l(7). Let a be m(s). Let i = 16 + a. Let n(b) = b**2 - 6*b - 2. Calculate n(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -96 + 27. Let m(x) = 7*x + 24. Let s be m(7). Let k = s + d. Solve -5 - 3 = k*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - c + 16. Suppose -c*m + 420 = -3*m. Does 28 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/sqrt(16) + (-1*sqrt(84))\/sqrt(12).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 226989 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9\/(-18) + 121\/560*5654. Let q = l + -8541\/7. Find the common denominator of q and -73\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m - 3*m**3 + 7*m**2 - 979 + 979 to the form g + u*m**3 + k*m + j*m**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6969\/8 + -871. Is n at least as big as -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + 0\/(-3) + 11. Suppose h*c - 4*c - 50 = 0. Solve -c = -3*a - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 986 = 3*i + 2*v, 3*v + 337 = i. Let m = i + -192. Calculate the remainder when m is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/2377224 and -61\/11688018.\nAnswer: 140256216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1491, 2979, 4467, 5955, 7443?\nAnswer: 8931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 256270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = r + 233 + 196, 3*k - 325 = 4*r. List the prime factors of k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*s - 11*s - 2453 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/792 and -167\/312060.\nAnswer: 20595960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 906, 28.7 in descending order.\nAnswer: 906, 28.7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d - 108 = -37*d. Solve 3*q - d = 2*o - 3, -2*q - 6 = 2*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1047 + 1053. Put 19, 2, q in decreasing order.\nAnswer: 19, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of a**4\/2 + a**2\/2 + a - 1. Does 7 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mgmkgmdmm. Give prob of sequence kgg.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(((-31)\/40 - (-951)\/(-7608))\/(3\/45))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35\/18 + 211\/90. Which is the biggest value?  (a) -4  (b) 23  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 9) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1 + 5*(1*sqrt(720) + sqrt(720))*2).\nAnswer: -480*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 358.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.56696 rounded to two decimal places?\nAnswer: -4.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67936.2 litres to millilitres.\nAnswer: 67936200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -728, -1966, -4022, -6890, -10564, -15038?\n\"Answer: h**3 - 415*h**2 - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -i**3*r**2 - 12*i**3 + 5*i**2*r**2 + 11*i**2*r - 4*i*r + 2*i - 104247*r**2 - 467 wrt r.\nAnswer: -2*i**3 + 10*i**2 - 208494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 299?\nAnswer: -5\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*v - 20*v - 21*v = -801 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 + 105 = 4*y - 2*q, y + 5*q - 43 = 0. Calculate the smallest common multiple of 264 and y.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.771, -1053, -2\/27.\nAnswer: -1053, -0.3, -2\/27, 0.771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/(sqrt(2)*2))**2*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*((p**(-8)\/p)\/p)\/p)**9 assuming p is positive.\nAnswer: p**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2\/8 - 27243*t\/8 + 27231\/2.\nAnswer: 3*(t - 9077)*(t - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -11*v**3 - 10*v**2 + 2*v - 2. Suppose 57 = -3*p + 60. Let i(x) = 2*x**3 + 2*x**2 - x - 1. Let n(m) = p*s(m) + 6*i(m). Factor n(g).\nAnswer: (g - 2)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1160*y - 4 - 4 + 1158*y.\nAnswer: -2*y - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 70161 divided by -1?\nAnswer: -70161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2131330 - -3121031?\nAnswer: 11313021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5103) + sqrt(5103)*-2 + sqrt(5103) - sqrt(5103))\/(-3*sqrt(9)*4 + sqrt(9)).\nAnswer: 9*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18937591 is divided by 6372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 26 and 1484945.37.\nAnswer: 1484971.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 16 - 33 - 5*n + 49 - 11*n - 49 + 2*n - 5*n + 4*n + 4*n + 2*n - 7*n + (0 + 0 + n)*(-2 - 4 + 4) + 2*n + 3*n - 6*n in the form z + q*n and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 462770 to the nearest one thousand.\nAnswer: 463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -112 + 112. Solve 5*d + 12 - 2 = u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/195 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of -65*p**8\/336 - p**7\/105 - 5*p**5 + 27*p**2. What is the third derivative of b(q) wrt q?\nAnswer: -3900*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (0 + sqrt(3))**2 + sqrt(18)\/sqrt(150).\nAnswer: sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 54, -2\/9, -1\/48, 3, -0.4?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3053\/69705 + 1\/1549. Is 0.3 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 4*a + 2 = -9*k, -5*a - 25 = -5*k. Suppose k*g = 4*g + 16. Let s = 11 + g. Is s greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -1536361*r. Let p(y) = 3*y**2. Calculate o(p(v)).\nAnswer: -4609083*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -74 take away 45.740698902?\nAnswer: -119.740698902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + -14. Which is smaller: t or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 5*y. Let j(q) = 16*q - 1. Give 8*c(n) - 3*j(n).\nAnswer: -8*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f + 4. Let s be r(4). Suppose s = 3*k + 2 - 8. Suppose -6 - 19 = -5*l. Solve -l*x - k*d + 19 = 0, 0*x + 2*x - d - 13 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 52557069*z**3 + 882*z - 30760.\nAnswer: 315342414*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of 13\/12*v**4 + 0 - 3*v + 0*v**2 + 1\/6*v**3. Let h be k(-1). Solve 3*d - 6*d = h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -325.87 + -3.13. Let l = y - -328.91008. Let o = -0.09 - l. What is o rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 3.01. Let d = -33.7893 + 33.8. Let g = d - u. Round g to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 430, 3347, 2, -3\/8 in decreasing order.\nAnswer: 3347, 430, 2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -36\/5  (b) 1\/3  (c) 485  (d) -3  (e) -1\/10  (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -2*sqrt(1300) + 3.\nAnswer: -20*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*7\/(-56)*6144\/960.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -l + 3*m, 0*m - 3*m = 2*l - 4. Let r(t) = -6*t - 2. Give r(l).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6554 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 58*i + 106. Is l(61) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 323*d + 862*d - 2350 + 64*d**2 - 55*d**2 - 14*d**2 = 0. What is d?\nAnswer: 2, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -2 + 3 - 3 + 15*h + 1. Determine i(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -251, 2 in descending order.\nAnswer: 2, -4, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44 and 68855842?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.728183709 + 2.7282. What is v rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -9  (b) -4\/3  (c) 1030  (d) 486\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25941 is divided by 218?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -119\/18, 3\/5, -1 in descending order.\nAnswer: 3\/5, -1\/4, -1, -119\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 24025\/4 + 1\/4*d**2 + 155\/2*d = 0. What is d?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15891*i**5 - 4*i**3 - 19*i**2 - 1076*i.\nAnswer: 953460*i**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*a + 28228 = -88127. What are the prime factors of a?\nAnswer: 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177282?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*-7*(-7)\/196?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 384 and 2586432?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 5*a + 3, -4*b + 321 = 5*a. List the prime factors of b.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w - 11*w + 5*w)*(0 + 3 - 2)*(0 - w + 0) as k*w + l*w**2 + c and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000332377603 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*g**2*m + 288264*g**2 - 14797*g*m wrt m?\nAnswer: -3*g**2 - 14797*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (1 - 2 - (-1 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 5*f + 688, 0*i + 3*i + 4*f = 517. Let t = -107 + 508. Suppose 3*u - 2*g - t = 0, -i = -u - 4*g - 52. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01122623 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0.308, 319\/19 in descending order.\nAnswer: 319\/19, 0.308, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 93992 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 4*c - 13. Let x(r) = -3*r + 11. Let i(q) = -2*j(q) - 3*x(q). Determine i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34*n**4 - 2*n**2 + 2*n + 1 + 19*n**4 + 17*n**4 + 3*n**3 to the form w*n + r*n**3 + u*n**4 + y + l*n**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 401 - 293. Suppose 5*b = 40 + 20. Calculate the greatest common divisor of b and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j - 4*j - 3*j**2)*(3*j - 10*j + j)*(-2*j + 4 - 4).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 1010?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 307 + -2459\/8. Let a = 77 - 72. What is the nearest to -2 in h, a, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 169*w - 25534. Determine l(151).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 5*d - 6 = -31, -5*d = -3*u + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-48)*9*(-2170)\/(-1953).\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/14 and -145\/32802?\nAnswer: 32802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110001011010000100 + 101?\nAnswer: -110001011001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zlikzzkil. What is prob of picking 1 l and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*s + 17*s + 2*s + 781 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5415 - -534. Suppose 0 = -15*p + z + 5046. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 - 9. Suppose -j - 3 + l = 0. Let s = j - 6. Solve 0 = s*v + 3 - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 376.403 millennia to decades.\nAnswer: 37640.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-95)\/(-57) + (-7)\/(-21). Solve 7 = r*v - 3*k + 16, -37 = -4*v - 5*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 14, 875, 4?\nAnswer: 875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2411 + -12053\/5. Let j(v) be the first derivative of -2\/5*v**4 - 4\/5*v**3 - i*v - 4\/5*v**2 - 2\/25*v**5 - 21. Let j(r) = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 413 + 157*n - 142 - 137 - 134.\nAnswer: 157*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 h when three letters picked without replacement from hiiyhyhiyhyhiyy.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70131?\nAnswer: 3, 97, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 - -0.9. Let x = -4114 - -4117. Which is the closest to x?  (a) -5  (b) p  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) -3  (c) 5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 217267 and 3674?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*t**4 + 393*t**3 - 4167*t**2.\nAnswer: -144*t + 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*((z**6*z)\/z)\/z)*z*z**6)\/(z**1*z*z**(-1\/11))*(z**(2\/5)*z*z)**(2\/51)*z**6\/z**8 assuming z is positive.\nAnswer: z**(-1697\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -9*d. Let n be b(-13). Let r(j) = n*j**2 + 1 + 123*j**2 + j**3 + 4*j - 245*j**2. What is r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, 3277, 4, -5 in descending order.\nAnswer: 3277, 4, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 40 + 96. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9080 * 0.2\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -158.827414 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 11*z + 1. Let q be 1\/(-1) - (-18)\/(-3). Let v be g(q). Let h = v + 40. What is the highest common divisor of h and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 - 4*n. Suppose -d + 4 = -5*d, 0 = 3*a - d + 8. Let b be u(a). Is 22 a factor of -7*6*(-143)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/3701656 and 121\/8232.\nAnswer: 11104968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -20122, -40247, -60374, -80503, -100634, -120767, -140902?\n\"Answer: -r**2 - 20122*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 3362 - 5740 = -3*m, -2*m + 2*d = -6082. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*13.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 410297.\nAnswer: 23, 17839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*j + 66 = -43*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 - (6 + (-4 - 8) + 3) - (-5 + 0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/9)\/(6\/18). Let g = 0.3 - 0.1. Let y = 0.1 + g. Which is the closest to x?  (a) y  (b) 4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of 5\/4*x**5 + 14\/3*x**3 + 0*x**2 + 6*x + 0 + 0*x**4. What is the second derivative of i(f) wrt f?\nAnswer: 150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4513360.58 rounded to the nearest one hundred?\nAnswer: -4513400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.44 - 0.04. Let w = 31 + -30.5. Let l = -6.3 - -6. Which is the third biggest value?  (a) g  (b) w  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 6*v + 3*v + 2 - 2 + 1 + v**2. Let x(u) = u**2 + 4*u + 1. Let q(o) = 6*b(o) - 11*x(o). Factor q(k).\nAnswer: -5*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 0.022, -1\/22 in descending order.\nAnswer: 1\/4, 0.022, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 40.5 - 41.5. Let i = -582\/5 + 116. Let z be -2 - ((-3)\/4 - 1). Which is the nearest to i?  (a) g  (b) 2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.08, -0.2, -0.5, -1\/9, -4\/3.\nAnswer: -4\/3, -0.5, -0.2, -1\/9, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.26 - -1.74. Suppose -c + 2*c - 90 = 0. Let u be ((-2)\/5)\/((-24)\/c). What is the second smallest value in u, -1, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*1*(-3)\/(-9). Let t(x) = -x**3 + 12*x**2 + x - 7. Let v be t(12). Solve -v*l = -f + 4*f + 5, -d*f = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47505 - 45464. What is the highest common divisor of k and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -7 + 10 + 1 + -29. Let u = x - -28. Let 11 + 12*o - u*o**2 + 1 + 6*o**2 = 0. Calculate o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3340154 (base 9) to base 10\nAnswer: -1797844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2243 divided by -30\nAnswer: -2243\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -434802\/13 + 33426. Which is greater: -19 or p?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8891, 35577, 80047, 142283, 222267, 319981, 435407, 568527?\nAnswer: 719323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 266 - -41064?\nAnswer: 41363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -5*b + 16. Does 32 divide l(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 18489462 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/79, 1, 2\/7, 23, -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 9*j**2 + j + 2. Let z be r(-1). Solve 3*q - z - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + (-8)\/(-45))*(-25)\/10.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(225) + 1*-2*sqrt(225) + sqrt(225) - (sqrt(225) - (sqrt(225) - -1*sqrt(225))*5))\/((sqrt(640) + sqrt(640) + 2*sqrt(640) + sqrt(640))\/sqrt(2)).\nAnswer: 27*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1417729, -1417731, -1417733, -1417735?\n\"Answer: -2*d - 1417727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/20 in 32, -31, 3\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2037 is divided by 145.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*z - 23059 + 24787 = 0 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -61653006*i**3 - 89816839*i wrt i.\nAnswer: -369918036*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 5*u - 6 = 19, 3*d - 5*u + 9 = 0. Let s be (5 - (-8 - -13))\/(2*-1). Solve x - 2*z - 7 = d*z, s = -5*x - 2*z + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 2*s**2 + 3*s + 4. Let c be m(-3). Suppose 0 = -o - 14 + 11. Is -2 + 3*c - o 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 -117, -247, -373, -489, -589, -667, -717, -733?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -29115, -29114, -29111, -29106, -29099, -29090?\n\"Answer: m**2 - 2*m - 29114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14550, 29120, 43708, 58314, 72938?\n\"Answer: 9*x**2 + 14543*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 10602296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and -451669.\nAnswer: -451671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 155 + 161, -2*m - 18 = -2*z. Calculate the greatest common divisor of 39413 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 38.17793 centuries?\nAnswer: 3.817793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -2*r**2\/11 + 3546*r\/11 + 75348\/11 = 0.\nAnswer: -21, 1794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -45, -5, -3, 4 in decreasing order.\nAnswer: 4, -3, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1929 and 102880.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -39, 2\/25, -0.3 in decreasing order.\nAnswer: 2\/25, -0.3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 47820678947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3*d + 408 = 0, o + 3*d - 82 = 308. Is o a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -j*s*u**3 + 3*j*s*u - 2*j*s - 11*j*u**3 + j*u + 3*s*u**2 - 2*u**3 + 2*u wrt u.\nAnswer: -6*j*s*u - 66*j*u + 6*s - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 - 23*a**2 + 21*a + 10. Let k be f(22). Let c be k\/(-8)*5\/(45\/12). Let t be -4 - -5 - (-2 - -1). Solve c*r + t = -4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 2:39 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47705743?\nAnswer: 1061, 44963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/2 - 21*q\/2 + 11.\nAnswer: -(q - 1)*(q + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -41*x**3 - 8*x**4 + 42 + 1141 - 5*x**4 + 21*x**4 - 6*x**4 wrt x?\nAnswer: 8*x**3 - 123*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h - 3. Let y be k(4). Let z(v) = -v - 4. Let p be z(-7). Let x = p + y. Solve 2*l - x = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 AM and 9:06 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.88 - -0.12. Let l = t - 3. Let q = -4.3 - -4. What is the second biggest value in l, q, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -3*k + 6*k - 1, 2*p - 2 = 0. Let b be (-13 + 12)*55\/k. Calculate the greatest common factor of b and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/(-2))\/((-5)\/(-50)). Suppose 0 = z*r + 2*r - 1295. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22005 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 792923, 792910, 792871, 792794, 792667, 792478, 792215?\n\"Answer: -2*x**3 - x**2 + 4*x + 792922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2867622 divided by -2.\nAnswer: 1433811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 at least as big as -18047569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1293)\/8*4\/(-30). Let r = 821 + -4051\/5. Let y = r - u. Calculate the common denominator of -53\/2 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 5. Suppose v*p - 40 = -2*p. Suppose 10 = 5*h + 4*u, 0 = -3*u + 7*u + p. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 19*t**3 - 120*t**2 - 5*t - 104. Determine p(7).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (187 + 2*m - 187)*(10 - 6 - 3 - 4*m).\nAnswer: -8*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -83 + 82.978. Let z = -462 + 462. Is z >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(52)\/(sqrt(100)*2) - sqrt(104)\/(sqrt(160)\/sqrt(5))) + -5 + -5)**2.\nAnswer: 8*sqrt(13) + 2552\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*22\/4*(-176)\/(-968).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q - q - 2*q)*(q**3 + 2*q**3 - 5*q**3) + 40*q**2 - 82*q**2 + 40*q**2 - q**4.\nAnswer: -3*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64002, 63995, 63988, 63981, 63974, 63967?\nAnswer: 63960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h - 26. Let l(u) = -8*u + 29. Let x(z) = 6*f(z) + 5*l(z). Let p(s) = -2*s + 11. Let c(w) = -6*p(w) - 7*x(w). Determine c(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -763*m - 1. Let n be f(-3). Let o = n + -729. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.059 + 43.059. Let v = -0.83964 - -43.81644. Let c = v - d. Round c to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*q + 396779 + 250359 = 115242. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of c**6\/60 - c**5\/20 + c**4\/12 + 6*c**2. Is 15 a factor of q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 4*n - 2180, -i + 535 = 205*n - 206*n. Calculate the remainder when i is divided by 190.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -68 + 144. Let g = y + -683\/9. What is the second biggest value in g, -2, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 - (-16)\/(2 - 0). Let y(k) be the second derivative of 0*k**v + 0 + 3*k + 1\/20*k**5 + 0*k**2 - 1\/6*k**3. Factor y(f).\nAnswer: f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(891) - (-4 + sqrt(891) - sqrt(11)))**2 + (sqrt(110) + 1*-1*sqrt(110) + sqrt(110) + sqrt(110))\/(sqrt(90)*3 - sqrt(10)).\nAnswer: 20 + 25*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.242 - -1.798. Let x = w + -1.84. Put x, 1\/2, -0.02 in decreasing order.\nAnswer: 1\/2, x, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9911916439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19923 is divided by 684.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-7)*m*m\/(m*m**3*m*m)*m)**21 assuming m is positive.\nAnswer: m**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2835, -4556, -6277, -7998?\n\"Answer: -1721*f - 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 3*k + 217, -30*j - 2*k = -35*j + 1137. Calculate the remainder when j is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 32*s**4 + 167*s**3 - 264*s**2 wrt s.\nAnswer: 768*s + 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14988 and 20747139?\nAnswer: 3747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-9)*(-18)\/(-120)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 53 - (-3 + (16 + -3 - 21)) - 14\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 126481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -8  (b) 1  (c) -5  (d) 970\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8696, 8874, 9052, 9230?\nAnswer: 9408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 400*f**2 - 5595*f - 93. What is u(14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 459*f - 235*f + 7*f**2 - 231*f + 2 - f**3. Let d be m(6). Put 1, 47, d in descending order.\nAnswer: 47, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48 + -51)\/(-2 + 2 + 42\/(-12)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of l**5\/330 + l**4\/44 - 4*l**3\/33 + 7*l**2\/2 + 30*l. Let v(w) be the first derivative of q(w). Factor v(b).\nAnswer: 2*(b - 1)*(b + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 329 and 1379.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bkbudukxkbr. Give prob of picking 2 b and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w + 3*f = -496, -10*w + 2189 = -12*w + 4*f + 2293 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -155\/2 less than -79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 11 - 5 + 2*a**2 + 15 - 9*a. What is the units digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*c + 262 - 263 = -337 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2151203, -2151207, -2151221, -2151251, -2151303, -2151383, -2151497, -2151651?\n\"Answer: -t**3 + t**2 - 2151203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*c**2*r**2 + 2*c**2 + 14*c*r**3 + 3*c + 2*r**4 wrt r?\nAnswer: -8*c**2*r + 42*c*r**2 + 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x + 0*x - 2 + 3. Let s(z) = 6*z - 3. Let h be ((-5)\/7 + 1)\/(10\/(-70)). Let y be (2\/(-6))\/(8\/168). Give h*s(p) + y*u(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -3 - 3\/4*t**3 - 1\/10*t**5 + 5\/8*t**2 + 7\/16*t**4 - 1\/4*t. Find a, given that d(a) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-48))\/(2\/(-8))*(-6)\/51.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/15, -21\/5, 37?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*y**3 + 9*y**3 - 5*y**2 + y**2 + 4*y**2.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-9)\/(-6))\/(2\/4). Let f(l) = -l**3 + 3*l**2 + 4. Let g(b) = -2*b**3 + 6*b**2 + 8. Let n(m) = 9*f(m) - 4*g(m). Determine n(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 301101 to the power of 1\/2, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 97213395 divided by 85\nAnswer: 1143687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 158 + -174 - (-17 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 295\/(-35) - 12\/21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*m - 102*m - 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 12*v**2 + 37*v + 127. Give m(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of 2*v**5\/5 - 7*v**2\/2 - v. Find the first derivative of t(i) wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.354 - -0.735. Let h = 0.011 + l. Let s = 6 - h. What is the second smallest value in 0.5, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74, 623, 2118, 5033, 9842, 17019, 27038?\nAnswer: 40373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 - 20. Let n be 24\/(-18)*w\/4. What is the second derivative of 4*d - 6*d - d**2 - d**n wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-16)\/(240\/(-75))*3. Solve q*t - 518 = -413 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1.2, -4 in increasing order.\nAnswer: -4, -1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r**2 + 34*r - 331. Let a be o(-24). Let c = -69 - -149. What is the greatest common factor of a and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 0  (c) 15  (d) -2  (e) -1  (f) 220\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u + 1. Let n be b(2). Suppose 4*h + 28 = -f - 4*f, n = -f - h. Let d be ((-14)\/(-8))\/(2\/f). Which is bigger: 1\/3 or d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48543.36l?\nAnswer: 48543360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 51*b**2 - 88*b**2 + 43*b**2. Let k(r) = -5 + 4 - r + 1. Determine f(k(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2500 + 4619. Suppose -3*i + 4253 = 4*l, 3*l - l + 3*i = z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -7*c**2 + 2*c - 4. Let i(s) = 39*s**2 - 16*s - 3. Let n(w) = -w**2 + 2*w + 8. Let o(q) = i(q) + 3*n(q). Calculate 11*k(h) + 2*o(h).\nAnswer: -5*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9545941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4000, -3999, -3998?\nAnswer: -3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**2 - 2*c - 11. Calculate m(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*a - 37 + 13, 0 = 5*a + 2*v - 40. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 4, 27*l - 26*l - 1888 = 4*h. Which is smaller: -469 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**2 + 3*u + 1. Let f(l) = -l**2 + 11*l - 3. Let q be f(11). Calculate x(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1370212 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 4*p - 3, 3*t + 4*p + 6 = 5*t. Suppose t = y - 8. Find the third derivative of 3*c**6 - c**6 + 7*c**2 - 14*c**6 + y*c**2 wrt c.\nAnswer: -1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - y - y + 51, -2*m + 26 = 4*y. Suppose -30*v + 220364 - 1338284 = 0. Let d be 0 - (-4)\/(-34) - v\/2312. Is m >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 5*j = -18, -3*v + 2*v = -j. Calculate the highest common divisor of 16 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -1 - -31 - (-374 + 168 - -202)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 99 and 2214?\nAnswer: 24354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -7*p**2 - 2*p + 53. Let x(s) = -2*s + 0*s**2 - 4*s**2 + 56 - 4 - 2*s**2. Let o(l) = -7*k(l) + 6*x(l). What is the first derivative of o(u) wrt u?\nAnswer: 26*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*o**2 + 129*o**2 - 54*o**2 - 38*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -5*c**2 + 4*c. Let s = -2 - 2. Let b(f) = -6*f**2 + 5*f. Suppose -5 + 1 = -4*r. Suppose -5*n + r = -14. Calculate n*b(l) + s*p(l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10112314 + 20?\nAnswer: -10112254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3541, 6, -2.\nAnswer: -2, 6, 3541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 13 + 7. Let r = -7 - f. Let u be (-1 + -2)*(-1)\/(-2). Which is bigger: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 2, 5, 13 in decreasing order.\nAnswer: 13, 5, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2850612 (base 11) to base 2\nAnswer: 10010101101101000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 4\/((-20)\/(-15)). What is y in 23*y**3 + y + 41*y**a - 5*y = 0?\nAnswer: -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98629973779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 123*z + 113*z + 472 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4156, 4200, 4248, 4300, 4356?\n\"Answer: 2*t**2 + 38*t + 4116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 - 13*r - 11. Let k be x(-9). Solve -7*m = -2*m + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4913 or -8063?\nAnswer: -8063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4278476565563 - 0.5?\nAnswer: -4278476565563.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*h**3 + 8\/9*h**2 + 0 - 8\/9*h.\nAnswer: -2*h*(h - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 369612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f, 1 u, and 1 p when four letters picked without replacement from {u: 3, p: 2, f: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 6563*r**2 + 4948*r**2 + 1071*r**2 + 2297*r**2 in the form z + g*r**2 + n*r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 137  (b) -8  (c) -37  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n + 3. Let q(u) = 15*u**2 - u + 1. Calculate the remainder when q(1) is divided by y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of t**4\/6 + 7*t**3\/3 - 6*t**2 - 235*t. Let j be u(-8). Solve 3*p = j*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -4, -2, 4, 1911 in decreasing order.\nAnswer: 1911, 6, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 408.\nAnswer: -5\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3\/295 - 319\/2360. Put 0.8, f, -0.05, -2\/13 in decreasing order.\nAnswer: 0.8, -0.05, f, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 283 = -5*o, n + 0*o - 124 = o. Let x = -77 + n. What is the smallest common multiple of 4 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m - 24. Let g(j) = 3*j + 23. Let r(l) = -2*b(l) - 3*g(l). What is r(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2 + 1 + 2*i**2 + 7*i + 1 - 3*i**2. Let h(y) = 15*y**2. Give h(r(l)).\nAnswer: 15*l**4 - 210*l**3 + 735*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 630232 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 9 = 4*v + 14, -9*v + 6*v = 24*b + 42 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**2 - 1 - 437*t**3 + 11 + 432*t**3.\nAnswer: -5*t**3 - t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 231787.26 months?\nAnswer: 1931.5605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -715, -2879, -6493, -11557?\nAnswer: -18071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from 39576495.\nAnswer: 39576494.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-111)\/259)\/((57\/665)\/((-4)\/(-14)))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 10. Let w = 7 + p. Which is the biggest value?  (a) 3  (b) w  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3183\/9 - (-3)\/9. Suppose 4*c - 10*c = -i. Let w = -23 + c. What is the greatest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 - 4*l + 7. Let g be z(-6). Let y = 5 + g. What is the second smallest value in 0.3, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/7, -14, 77, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -6*b**2. Let w(f) = -f**2 - f. Calculate -2*q(a) + 14*w(a).\nAnswer: -2*a**2 - 14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s**2 + 14*s - 2. Let g(n) = 2*n. Calculate 10*g(x) - p(x).\nAnswer: 2*x**2 + 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 234 and 2390436?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 12532*d + 132. Let y be t(3). Suppose -9*w = 27*w - y. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37, 16, 71, 128, 187?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -13377*u + 1244067. What is b(93)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*d**3\/9 - 22696*d**2 - 272432*d\/3 - 817376\/9.\nAnswer: 4*(d + 2)**2*(5*d - 51086)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45 + 29 - f**4 + 426)*(-15*f + 5*f + 5*f).\nAnswer: 5*f**5 - 2500*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -104 - -98.3. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 48451, 48520, 48589, 48658, 48727, 48796?\n\"Answer: 69*z + 48382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26231357.\nAnswer: 17, 263, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/228)\/(2\/53). Let h = -5\/19 - f. Is h > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/13 smaller than -334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -3*i - 1. Let l(o) = -o + 4. Let z be l(0). Suppose -z = -2*c - 0. Determine b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x - 4. Let c be f(5). Let a = -3 - c. Let q = 12 - a. Calculate the greatest common factor of 11 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -22*r - 335. What is s(-5)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15.1 - 15.73. Let z = x + -4.37. What is the second biggest value in -1, z, 4\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 145 = -7*g. Let x = g + 0. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*c = -5*c + 210. Let u(i) = -i**2 + 8*i + 1. Let q be u(11). Let t = q - c. Solve -m = -t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -515*c**3 + 7*c**2 + 8637*c.\nAnswer: -3090*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -7, -119, -305, -571, -923, -1367, -1909?\n\"Answer: -u**3 - 31*u**2 - 12*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*z + 55064 - 60056 = -169620. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 204 - 194. Suppose -158*o - m = -160*o. Calculate the greatest common factor of o and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 918850 and 3583515?\nAnswer: 35835150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 7*j - 13. Let o(v) = 5*v - 9. Let k(x) = 5*d(x) - 8*o(x). Let b(n) = -7*n - 3. Let g(p) = 19*p + 8. Let q(z) = 8*b(z) + 3*g(z). Give q(k(m)).\nAnswer: -5*m + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 151097 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*y**3 + 52*y + 203?\nAnswer: 6*y**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - 44*f**2 - 609*f - 2693. Determine y(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44524 is divided by 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 2*y**2 + 2*y - 2. Let p = 3 - 8. Let d be 2\/6 - p\/3. Let a(t) = -6*t**3 - 11*t**2 - 11*t + 11. Calculate d*a(n) + 11*j(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from cffk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 322675337?\nAnswer: 211, 1529267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-456)\/399 - (2 - 34\/14). What is the smallest value in l, -4, -9\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.55 and -413.\nAnswer: -413.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 141*f**2 - 2*f - 2. Let v be x(-1). Let o be (v\/(-188))\/(3\/2). Which is the nearest to -4?  (a) 2  (b) -1\/6  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46995705, 46995706, 46995707, 46995708?\nAnswer: 46995709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14 + -201?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108 and 29091474?\nAnswer: 58182948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 0 = 14. Let f = -5 - z. Suppose 3*y - 18 = y. Solve -1 = f*m + y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gbf when three letters picked without replacement from {f: 1, g: 1, u: 1, j: 1, b: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(77\/4)*(55\/2)\/55\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 3 - 23. Suppose 4 = l*k - 11. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -102220741 or -102220740?\nAnswer: -102220740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-8)*(92800\/11800)\/(-29)?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 490*u - 3293 - 403 - 714 = 0. Let m(p) be the second derivative of -p**4\/6 + 3*p**3 - 5*p**2 - p. What is m(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/196 and 35\/8?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4590 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -596 - 139*z**3 + z**2 - z**2 + 649 wrt z?\nAnswer: -417*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2234 = -5*m + 3*b, 438 = m - 2*b - 3*b. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h**3 + h**3 + 0*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of 1\/2*k**2 + 1\/42*k**4 + 0*k**3 - k + 1\/210*k**5 + 0. Let q(m) be the first derivative of t(m). Let q(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -922.785833 and -315.\nAnswer: -1237.785833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 138445172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6880)\/128 + (27 - -29)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 PM and 4:55 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 533786453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 + 12)*(0*m**3 + 0*m**3 + 3*m**5 - m**3).\nAnswer: 33*m**5 - 11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k - 8*k**2 + 6 - 1 + 24*k + 7*k**2. Let d be f(22). Suppose -2*l - 206 = -5*u - 0*l, 6 = -2*l. Calculate the greatest common divisor of u and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10438 divided by 75?\nAnswer: -10438\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -25*z - 15. Let c be m(-1). Let l(a) be the second derivative of 3\/4*a**4 - c*a - 1\/3*a**3 + 0 + 0*a**2. Factor l(n).\nAnswer: n*(9*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*x**4 + 401*x**3 + 2835*x**2 + 6811*x + 686 = 0. What is x?\nAnswer: -7, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + -2 - -2) + -8 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2 = -0. Let r be 92\/20 - 6\/10. Let j(l) = 5*l - 3*l - l + v - r. Determine j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 9:43 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 + (-14)\/8 - -4*35\/(-112). Solve 2*t - 3 = w*u + 5, 2*u + t = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of 5*u**7\/42 + u**3\/2 - 4*u. Find the second derivative of s(p) wrt p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -2*a - 2*h + 5, -3*a + 10 = 2*h. Suppose 0*p - 44 = -a*p. What is the remainder when 31 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -101 by -35.\nAnswer: 101\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*d = -21*d + 96. What is the common denominator of -3 + (-532)\/d + 3 and ((-99)\/(-10) - 2)\/1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/(-5))\/((-8)\/(-2800)*14). Solve 0 = 5*f + 10 - s, -f + 7 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20325 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -j, -3*j - 101 - 58 = -5*i. Let w(x) = -3*x - 4*x + 6 - 13*x. Calculate the remainder when w(-4) is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2 + ((4 + sqrt(343))*-3 + 0)**2*4 + -1) + 0.\nAnswer: -25850 - 4032*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11*8\/44 - (-2 + 3\/1 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/415 or 0?\nAnswer: -2\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8749 and 65954?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152)*2*-2)\/sqrt(8).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2176822 is divided by 94632.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(102)*-5)\/(sqrt(12)\/(sqrt(12)\/sqrt(6) + sqrt(2) - sqrt(2))).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 7 - 2 = 0. Suppose h = -5*y + 16. Suppose 0 = y*r - 7*r + 52. What is the remainder when 37 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 9:18 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.18?  (a) -3  (b) 0.2  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 293538 divided by 6\nAnswer: 48923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1409930450.\nAnswer: 2, 5, 28198609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n = -6*n + 5*z - 37, 3*n - 22 = 2*z. What is the remainder when 94 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -144 + 1 - (-1)\/(-1). Let k be (-6)\/15 - t\/10. Calculate the greatest common factor of 112 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6\/11, -4, -2\/13, -176?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*r**3 + 4798930*r**2 - 9597845*r + 4798920 = 0. What is r?\nAnswer: 1, 959784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 - 2)*(5*c - 2*c - 2*c) - 75*c + 6*c - 8*c as q + t*c and give t.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 796706038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -826 - 6*d**2 + 582 + 486 to the form b + q*d**2 + g*d and give b.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1950 = -w - 4*w. Let y = w + -167. Suppose -5*p + 6*p - y = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x**2 + 9*x - 4. Determine i(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*7)\/(115\/(-138)*2*3).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17237800 is divided by 15800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 156671 - 158096.74. What is m rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 + 9342*b - 34778120.\nAnswer: 2*(b - 2444)*(b + 7115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5946711 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*m**2 - 55*m - 150 = 0. What is m?\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19146849937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1204 and 154?\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 13*c**2 + c - 13. Let o be b(14). List the prime factors of 48\/(-32) + o\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s + 3. Let f be j(-2). Suppose f = -2*i + 5*v, 5*v = 5*i - 8 - 2. Suppose -n = -3*h - 296, -i*n + h + 290 = -4*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a59 (base 15) in base 13?\nAnswer: 10a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wxdw when four letters picked without replacement from {r: 1, d: 2, y: 3, a: 1, w: 2, x: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - b = -5, -19 = -7*l + 4*l + b. What is the lowest common multiple of 30 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 50 - 48. Is ((-21)\/h)\/(6\/(-36)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3783951 tonnes in milligrams?\nAnswer: 378395100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8 + (-264)\/32 - 525\/(-20). Solve -r = 23*v + 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 11*m + 14. Suppose -129*r + 990 = -239*r. Give k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 314653*k - 1887928. Calculate q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -5*b - 4*i + 27, 4*i - 9 = b. Solve -b*a - o - 3 = -5, -3*o = a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - 0 - (961 + -944)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.4427 - -18.2007. Round m to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 31\/2 of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 123984 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xgwe when four letters picked without replacement from {b: 1, w: 7, g: 1, e: 3, x: 1}?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49 = 4680*l - 4681*l - 3*p, 5*l = 2*p + 228 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m + 4. Let p be i(-9). Let t(j) = j + 7. Let s be t(p). Is (-70)\/(s\/3*-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10\/17 in -18847, -1, 4, -3\/2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 AM and 10:53 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -42 + 37. Let r = b - -3. Is r at least as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a = -3 + 19. Suppose -h - 4*o = o - 204, -3*h = a*o - 560. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211929659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is bc0f - 9e?\nAnswer: bb71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 34*i**2 + 3 - 23*i**2 in the form m*i + g*i**2 + c and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + l + 1. Let z(p) = p**3 + 4*p**2 + 11*p + 2. Suppose 0 = 22*o - 13*o - 9. Calculate o*z(u) - 2*m(u).\nAnswer: u**3 + 2*u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370*z + 103013 - 3311 = -3068*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 800 and 8058168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.218  (b) 1\/13  (c) -5  (d) 3  (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 2562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 5*d + 122. Let y be a(22). Suppose 0 = -5*r - 25, 32*n - 33*n + 3*r = -305. What is the highest common divisor of y and n?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3268 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.091 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(825) + -2*((sqrt(825) - sqrt(825)*2 - sqrt(825)) + sqrt(825)) - sqrt(825))\/(sqrt(66)\/(sqrt(12)\/(sqrt(2)*-1))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -118 - -118.4. Let i be (1\/2)\/(-1)*6. What is the nearest to -1\/3 in k, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*d**2 + 42602*d**3 - 58945*d**3 + 2*d**2.\nAnswer: -16343*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 94\/7 at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) -10\/9  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1533510349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2 - 4 + g + g. Let k be y(5). Suppose k*t = -4*n + 76, 0*t = -3*t + 2*n + 32. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 7 = 2*b + 9, 2*b + 2 = -192*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -38044 divided by -4\nAnswer: 9511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 253575175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t - 34 = 26 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -2*i + 13. Let g = i + 8. Let t = g - 10. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 4*p + 4. Let s be v(-4). Suppose -16 = s*j, 8*d - 3*d + 5*j = 199980. Round d to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 1041755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/((105\/40)\/(-7)). Suppose 0 = 5*b - z - 14. Calculate the lowest common multiple of b and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 23*f**2 - 111. Let h be r(-23). Let w = h + 267. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.03 + -182796055429?\nAnswer: -182796055424.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (34\/(-68))\/((-1)\/(-8)). Let t(s) = s - 5. Let g(u) = -2*u + 14. What is i*g(p) - 11*t(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26*a**2 - 94*a**2 + 132*a**2 - 5019*a**3 - 115*a**2 + a - 11*a**2 wrt a?\nAnswer: -30114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (9\/(-2) + 4)*0. Suppose 3*n - 52 - 17 = w. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 1 + 1)*(-2*q + 5*q - 6*q)*(2 - 5 - 2).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -281 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of 0*u - 9*u**2 - 1\/3*u**4 - 1\/10*u**5 + 0 + 1\/30*u**6 - 5\/3*u**3. Let d be k(11). Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 smaller than -7.1295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.03 + -0.43. Let p be (-10)\/8 - 1\/4. What is the nearest to 0 in -1\/2, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 AM and 12:26 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 + 36. Let a(n) = n + 4. Let j(c) = -c - 1. Calculate r*j(d) + a(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/361998 and -67\/141960?\nAnswer: 7239960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7\/32 + -9\/32. What is the nearest to -2\/7 in -3, 0, k, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/(-2)*(36\/(-105))\/(17\/119)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-12)\/(-15))\/((-2)\/5). Let w be ((-4)\/d)\/((-5)\/10). Is 30 a factor of (-6)\/w - (-201)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - 6*g**2 + 6*g - 3. Let l be k(5). Suppose -4*d + 3*d = -1, -2*c + 3*d = 1. Let h be (0\/(-3))\/(-3 + c). Solve h = -n - l + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2436755194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11312 + -11123310?\nAnswer: -11111332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(19)*2 - (sqrt(19) + ((sqrt(190) + sqrt(190)*-2 - sqrt(190))\/sqrt(10))**2).\nAnswer: -77 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 7. Let r(v) = -v + 7. Let i(u) = -4*r(u) + 5*t(u). Let b = -60 - -54. Determine i(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1609, -3466, -5565, -7912, -10513, -13374?\nAnswer: -16501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15426 = -5*s + 4*z - 15411, -21 = -4*s + 5*z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 279, 1120, 2523, 4488?\n\"Answer: 281*r**2 - 2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 + 17 - (7 + -24 - -4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - t)*(2 - 2 - 1 + (-1 + 12 - 4)*(0 - 4 + 2)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(4617)*1 - sqrt(4617))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 48 + -47.9. Let d be (-1)\/(-1) - (-1 - 3). Which is the closest to -2\/3?  (a) m  (b) 4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23020 - -2?\nAnswer: -23013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28) - (sqrt(28) + -2*sqrt(84)\/sqrt(3))) + sqrt(28))\/(sqrt(196)*-2 + sqrt(4)).\nAnswer: -3*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddpxbddyyxyydxypdp. What is prob of sequence yy?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 906 = 15991. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-457)\/(-57) + -8)*(-5 + -1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 4, -7, 2 in ascending order.\nAnswer: -18, -7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*q + 4*q - 2*q)*(1 - 2 + 0) + 0*q - 2*q + 4*q - 2 + 2 + 5*q + (q - 3 + 3)*(-710 + 372 - 292) as z*q + l and give z.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 76, 121 in increasing order.\nAnswer: 5, 76, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l. Let p(b) be the second derivative of -b**5\/10 + 2*b**3\/3 + 64*b**2 + 199*b. Let y(j) be the first derivative of p(j). What is y(x(n))?\nAnswer: -96*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(210)\/(sqrt(10) - (sqrt(20)\/sqrt(2) + sqrt(10) + sqrt(10))) - sqrt(21))\/(sqrt(3)*-1*4 - sqrt(3)) + -1 + (sqrt(112) - (sqrt(112) + -1)) + -5.\nAnswer: -5 + 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t**(-1)*t*t*t\/(t\/(t\/t**(-9))*t))**(2\/91))**(4\/9))**(-3\/5) assuming t is positive.\nAnswer: t**(-32\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36 - 131 - 80 - 2*d**2 to u + y*d + k*d**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-12723)\/(-12) + (-13)\/((-780)\/(-15)) is divided by 114.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express k**2 - 9*k**2 + 5*k**3 + 5*k**2 + 3*k + 0*k**3 in the form w*k**3 + q*k + r*k**2 + d and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 85373.63um in centimeters?\nAnswer: 8.537363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (10 - (10 + -2 + -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/4 + (-1)\/2. Suppose 2*h = -3*h + 5. Let y be 0\/(h - (0 - 1)). What is the second smallest value in z, y, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1380322 is divided by 1390?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -14*z**2 - 2 + 0*z**2 + 1 + 68*z**2. Does 16 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -15, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*n**2 + 2*n**4 + 33*n - 8*n**2 + 169 - 556 + 18*n with respect to n.\nAnswer: 8*n**3 + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 11. Let s be (-99)\/12 - 1\/a. What is the remainder when 30 is divided by s\/((-6)\/4 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1082 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -663*r + 325*r = -318*r - 460 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.081  (b) -1  (c) 4  (d) 0.4  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2 - 5*d + 1 - 3. Let k(q) be the first derivative of -35*q**2\/2 + 2422. Give s(k(w)).\nAnswer: 175*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6992502 * 0.1.\nAnswer: 699250.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 127, 147, 179, 229, 303, 407, 547, 729?\n\"Answer: h**3 + 13*h + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.0372 years in millennia?\nAnswer: 0.0030372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5\/2, -0.4, -7200635?\nAnswer: -7200635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**5 - r**4 + r**2. Let w(o) = -2*o**4 + o**3 + 2*o**2. Let z = 16 + -13. Let q(p) = z*w(p) - 3*m(p). Suppose q(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**5\/3 - 175028*n**4\/3 - 700090*n**3\/3 - 875104*n**2\/3 - 116680*n = 0.\nAnswer: -87510, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m + 1. Let l(q) = -28*q - 24. Let r(j) = -24*b(j) - l(j). Let k(c) be the first derivative of c**2\/2 - 128. What is r(k(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l**2 - 37*l - 21. Let v(w) = w**3 + 6*w**2 + 4*w + 1. Let n be v(-5). What is the remainder when 252\/n - (0 + -2 + 1) is divided by d(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10331 (base 4) to base 14.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -62.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 3.068277\nAnswer: 15.341385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1046969981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 9:50 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40 by -1478903.\nAnswer: -40\/1478903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 108, -93\/4, 3?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + 1. Suppose 0 = 67*v - 70*v + 6. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -231b + -3d?\nAnswer: -235a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -58 - -32. Let y be (b\/(-4))\/((-5)\/(-80)). Suppose 0*q + 3*q = 39. Calculate the greatest common divisor of y and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14*(-139)\/(-278)*5\/(-4)\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t = -t - 6*t. Sort 3, t, 6, -1.\nAnswer: -1, t, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 448*o - 1240 - 447*o + 1240.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -34701\/2 + 17674. Let f = 324 - v. Let p = 2.1 - 0.1. Which is the biggest value?  (a) 0  (b) -1  (c) f  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -11*u**3 + 17*u**2 + 20. Let a(w) = w**3 + 6*w**2 - 5*w + 2. Let k(q) = -6*q**2 + 4*q - 3. Let j(v) = -4*a(v) - 5*k(v). Calculate -17*j(r) + 6*t(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 158239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 s when three letters picked without replacement from {s: 2, p: 3, k: 7, f: 5}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 884 - -0.036.\nAnswer: 884.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 101397, -4\/3, -1, -3\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/17976 and 85\/77896.\nAnswer: 233688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 578406?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000419 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (355 + 251 - 1 + 368)*(-4*j + 2*j + 0*j) to the form y + x*j and give x.\nAnswer: -1946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - 1689ad4?\nAnswer: -1689ad8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*g*i**2 + 145*g*i + 2*g - 63*i**5 wrt i?\nAnswer: -22*g - 1260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-14)\/21*(-1)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3772995063\/4472 - 843693. What is the common denominator of o and 3\/8?\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/75)\/(((-7)\/(-4))\/(-4 - (1 - 8)))?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of l**6\/40 + 6*l**2. Determine p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 0 + 2 - 13*y + 14*y. Let q be d(-2). Sort 2, 4, q in decreasing order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 416456.2 microseconds to seconds.\nAnswer: 0.4164562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -62, -131, -232, -383, -602, -907, -1316, -1847?\nAnswer: -2518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/((p**(1\/8)\/p)\/p)))\/(p*p*p*(p*p**(-12))\/p*p)*(p**16\/p*p)\/(p*p**(1\/2)))**(2\/3) assuming p is positive.\nAnswer: p**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 121 + -130. Let v(x) = -x**2 - 9*x - 5. Let j be v(-6). Let l = o + j. What is the greatest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*m - 16 = -5*m, y + 0*m + 5*m = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/7  (b) 13  (c) -4  (d) 1  (e) -1.283\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 891 - -133001?\nAnswer: 133892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + 17. Let x(l) = 4*l - m*l + 55684*l**3 - 3 + 2*l - 8*l**2. Let o be x(-7). Round o to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 151320 and 780?\nAnswer: 151320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3*v**3 - 4*v**2 + 12*v - 8. Calculate l(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -14*h + 26. Give v(-5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 40069.11g?\nAnswer: 40069110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cdodycc. Give prob of sequence dody.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 62\/45 and -47\/100188.\nAnswer: 500940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 + 2*k + 66. Let p be s(9). Calculate the remainder when (p - (0 + -3))\/((-6)\/(-46)) is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 y, and 2 g when four letters picked without replacement from {y: 4, k: 3, q: 1, g: 2, s: 9}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -693*h = 327*h + 52020 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 6*r**3 + 11*r**2 - 15*r. Let t(x) = 2*x**3 + 4*x**2 - 5*x. Let m(y) = -4*q(y) + 11*t(y). Find the second derivative of m(j) wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -9  (b) 1.1  (c) 1.9  (d) -17  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130*z + 36 = -272 + 48. Solve 4*o + 10 = -25*w + 23*w, 0 = -5*w + z*o - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*j = -132*j + 40. Find the second derivative of 138*q + 3*q**4 - 87 - 140*q - 4*q**j - 5*q**3 + q**3 - q**4 wrt q.\nAnswer: -24*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*w = -22*w - 20. Let p(h) = -h**3 - 4*h**2 + 4. Let m be p(w). Put m, -2, -4 in descending order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 85 = -2*s, -y = -4*s + 19 + 152. Let f = -28 + s. Calculate the highest common factor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-428)\/16 + 4\/(-16). Let u be t\/(-18)*(-16)\/6. Let h(j) = j**3 + 4*j**2 + j + 4. Determine h(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from {a: 3, n: 11}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 258 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 14621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -498?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 172, 152, 96, -14, -196, -468, -848?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 9  (b) -2  (c) 3  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-8\/3)\/u**(5\/7))\/(u**(-6\/7)*u\/(u*u**23*u*u)) assuming u is positive.\nAnswer: u**(472\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*p**2 + 8*p - 8062*p**3 + 8069*p**3 - 9*p - 6)*(3 - 2 + 0) to m*p**3 + l*p + x*p**2 + d and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4)\/(-6) + 2\/(24\/(-254)) and (21\/18)\/(4\/(-78)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + r + 6 + 6 + 0 - 1471*r**2.\nAnswer: -1471*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 3689*x + 5. Let i(q) = 20*q**2. Give t(i(k)).\nAnswer: 73780*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 + 13 = -5*a - 3*x, -5*a - 8 = 2*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111794321 to the power of 1\/3, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 57 = 2*z, z + 4*f + 87 = 26. Let l = z - -66. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 286*q**3 - 282*q**3 - 2*q**2 - 1 to m*q**2 + u + t*q**3 + l*q and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -11 + -287c?\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 36 and 132.98.\nAnswer: 4787.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10239525 by -8031.\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w - 37*w**2 - 6*w + 3*w - 2*w.\nAnswer: -37*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (5 + -1*sqrt(343))**2*-4 + 5.\nAnswer: -1469 + 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-1\/6)*x)\/x)\/(x*x**(-5)))**(1\/57)*(x**(1\/3))**(-30)*(x*x**4)\/(x**(4\/7)*x) assuming x is positive.\nAnswer: x**(-15571\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3219.737 + 3219.8970007. Let f = -0.16 + u. Round f to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, v: 8, p: 2, d: 4}. What is prob of picking 1 p and 3 v?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 + f - 5. Let c be b(2). Solve c*k + 8 = 4*h, -3*h - 27 = 3*k - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 231\/(-385)*2\/((-6)\/25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1443 - t - 1443.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 PM and 9:02 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 125 = -k, 50 = 2*i - 5*k - 39. Let y = i + -22. Suppose 0 = -0*s - 4*s + y. Solve 0*l - s*v = l + 17, -4*v = l + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((-955)\/(-239) + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 0. What is the third derivative of u*v**2 + 0*v**6 + 3*v**6 + 0*v**2 - 5*v**2 wrt v?\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 109737, 109700, 109631, 109524, 109373?\n\"Answer: -h**3 - 10*h**2 + 109748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -126 + 142. Calculate the smallest common multiple of p and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l**2 + 2*l**2 - 7*l**2)*(-l**2 + 0*l**2 - 8*l**2) to n*l**2 + h*l**4 + a*l + o*l**3 + s and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2608 less than or equal to 2334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -61*g**2 - 5*g + 11. Let u(y) = 31*y**2 + 2*y - 5. Calculate -5*u(b) - 2*w(b).\nAnswer: -33*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2357 + -2307. Calculate the highest common factor of 3850 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3958 less than or equal to -3976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 9*r**2 - 6*r + 6. Let k(h) = h**2 - 2*h + 2. Let y(n) = -d(n) + 6*k(n). Let q be y(1). Put -5, q, 3, -4 in increasing order.\nAnswer: -5, -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1511348719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1549*y**4 - 1336.\nAnswer: -6196*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 2*b**3 + 386*b**2 + 7664*b - 26520 = 0.\nAnswer: -170, -26, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.3 - 0. Let b = 7 + -13. Let n = b - -6.3. What is the smallest value in l, n, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 104697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -25 (base 16) to base 2\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -231*t - 378*t + 134*t - 130*t in the form u*t + q and give u.\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the third derivative of -b**4\/12 + 14*b**3\/3 + 9*b**2. Let g be p(12). Suppose -8*h = -g*h - 104. What is the remainder when 75 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**3*s**3 + 2282787*b**2 + b*s**3 - 5*b*s**2 + 13*s**3 + 3*s**2 + 225*s wrt b.\nAnswer: 12*b*s**3 + 4565574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 at least as big as -7\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 531567.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.3, -1\/83, -5, -0.4 in increasing order.\nAnswer: -5, -0.4, -0.3, -1\/83, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1911 by -3.\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 8 = -4*x, -x + 2*a = 5*a + 6. Suppose -10*l = -11*l + 10. Let h = l - x. What is the least common multiple of h and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**2 - 2*u - 2. Let d be l(-1). Suppose 0 = 4*n + 5*w - 4642, 370 + 1962 = d*n - 3*w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a359 (base 13) in base 16?\nAnswer: -5817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -70 - -1*(4 - -2). Round j to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 135, 136, 145, 168, 211?\n\"Answer: a**3 - 2*a**2 + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1376401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 1ca719?\nAnswer: -1ca721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/12 + 12\/(1584\/(-926)) + 6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47402082.\nAnswer: 2, 3, 7, 13, 43, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + 23 + 0 + 3 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.121549 or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 87*h**2 - 14*h + 14*h. Let v(x) = x**2 + x - 1. Let o(s) = 2*s**2 + 4*s - 4. Let q(r) = -o(r) + 4*v(r). Give q(d(n)).\nAnswer: 15138*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10243 is divided by 155.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 944799 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**10\/a**(-4\/3)*a\/(a\/((a*a**(7\/2)*a)\/a))*a**(-29))**(2\/41) assuming a is positive.\nAnswer: a**(-79\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 AM and 5:45 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 59615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -5e7?\nAnswer: -5eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 238520 is divided by 250?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 2*m - 5*j - 11, -m + 5 = -j. Suppose -7*a = -m*a - 1820. Suppose -a = -3*d - d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 15*p + 165. Let o be j(-11). Suppose -a - i + 508 = 0, o = -0*i + 2*i - 6. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 9161, 9160, 9159, 9158?\n\"Answer: -s + 9162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (43 - (-3 - -3)) + 3*1. Suppose -5*t = -3*c + 159, -14*t - h = -c - 10*t. What is the greatest common divisor of 29 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84557.17ml in litres?\nAnswer: 84.55717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -1\/5, 0, -2.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(15)*2)\/(-1*sqrt(605)) - (-3 + (3 + sqrt(75)*2 + sqrt(75) + sqrt(75))**2).\nAnswer: -1206 - 1324*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2724 + 2727 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 - 2*d**2 + 3*d + 23. Let j(y) = 2*y**3 - 3*y**2 + 8*y + 49. Let i(c) = -6*j(c) + 13*k(c). Calculate i(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -56881*z**2 + 72080*z?\nAnswer: -113762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**2 - 47864*l - 286370312 = 0. What is l?\nAnswer: -11966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - 5*z + 7. Let i be g(0). Let y(x) = -2*x + 4*x**2 - 20 + i + 12. Suppose -5*t - 4 = -t. What is y(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -2*x**2 - 2*x + 5. Suppose 0*a - 3*a = 0. Let t be p(a). Let m = -24 + 23.8. What is the closest to -0.2 in t, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 507 + 769 - 44*d**4 - 90 wrt d?\nAnswer: -176*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 5, r: 3, y: 1}. Give prob of picking 1 y and 1 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 312152 and -2.15.\nAnswer: -671126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 382, 1259, 2718, 4759, 7382, 10587, 14374?\n\"Answer: 291*q**2 + 4*q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6044)\/22665)\/(20\/15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 + 2680016*l + 2680064*l - 5360080*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3057169613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -943\/28, -0.4, -764, -2 in decreasing order.\nAnswer: -0.4, -2, -3, -943\/28, -764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -26*l + 315. Let z be w(12). Solve 4*r = -6*v + z*v + 3, 34 = -3*r + 5*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/12 - 21\/(-4). Suppose -q*r + 21 + 19 = 0. What is the least common multiple of r and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137519, -136628, -135737, -134846, -133955?\nAnswer: -133064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177 = -41*b + 42*b. Is 175 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 0 = -2*w. Suppose q - w - 3 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 - c + 6*c)*(c - 5*c + 2*c).\nAnswer: -10*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8658 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-189)\/945*((-2)\/(-9) + (-47)\/9). Let j(t) = 6*t**2 + 10*t - 10. Let f(u) = u - 1. Give i*j(m) - 10*f(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 372 by -93.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -o**4\/12 - o**2. Let x(s) = 3*s + 2. Let q(u) = 65*u + 45. Let p = -3 - -5. Let t(a) = p*q(a) - 45*x(a). Give f(t(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/9  (b) -0.21  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - u = -24. Is u\/14 - (2742\/(-42) + 2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {k: 2, g: 2, y: 2, j: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 + 35974950*z + 64709851375125.\nAnswer: 5*(z + 3597495)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9\/(-6))\/((-9)\/12). Let l(o) = 66*o**a - 34*o**2 - 33*o**2. Let h(t) = 13*t**2. What is l(h(n))?\nAnswer: -169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s + 682*s**2 + 88*s**2 + 2*s - 325*s**2.\nAnswer: 445*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/1*4\/8. Let m be 1*(-6)\/(-3) + s. Suppose -21 = 5*j + 2*b, -2*j + m*b - 16 = -2. What is the nearest to -2\/5 in -2, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 16 = 4*n, -n = 1 - 0. Solve 2*y + 2*y = -4*j + 8, 0 = z*j - 4*y + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2\/3))**(-27) assuming n is positive.\nAnswer: n**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y**2 - 145*y - 409. Let q be b(-69). Sort 4, -4, 1, q, 5 in decreasing order.\nAnswer: q, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 5*r + 14 = -36, 3*h - 48 = 3*r. Solve -h = -n - 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70972.76 nanometers in kilometers?\nAnswer: 0.00000007097276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - 10)\/(3 - (3 + 1)). Let j = s - 8. What is the highest common factor of j and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -31024 and -0.4?\nAnswer: 12409.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (8 - -5 - (1 - -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -q**3\/30 - q**2\/20 - 99. Factor o(b).\nAnswer: -b*(b + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2109*m - 15069. Determine c(7).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 10\/7 of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*10\/((-80)\/(-36)))\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(12) - (sqrt(36)\/sqrt(3) + 1)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of -m**3\/3 + 11*m**2\/2 - 21*m + 48. Let x be t(8). What is p in 3\/7*p - 2\/7 - 3\/7*p**x + 1\/7*p**4 + 1\/7*p**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 598197911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - h - 3, -3*k - 3*h = -0*k - 18. Let l(w) = -w**2 - 9*w + 11. Let i be l(-10). Suppose -s = -k + i. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/9)\/((11\/12)\/(-11)). What is the second derivative of 73*i**5 - 28*i**5 + u - 5*i - i**3 + 2*i wrt i?\nAnswer: 900*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*w + 2200 = 90*w - 5*z, -4*z = 4*w - 4400. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -76, -41.\nAnswer: -76, -41, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y - 1. Let d(b) = b + 6. Let l(j) = j + 7. Let r(a) = 7*d(a) - 6*l(a). Let c(t) = -7*r(t) + 2*z(t). What is c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -6 + 16 + -1 - (23 - 71).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.92 + -0.08. Let a = 6 + z. Let q = 0.6 + -0.3. What is the closest to 1 in a, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - -1)*(9 - 7). Let q(j) be the second derivative of 1\/3*j**4 + m*j - 1\/4*j**2 + 0 - 7\/60*j**6 + 3\/80*j**5 - 1\/8*j**3. Suppose q(g) = 0. Calculate g.\nAnswer: -1, -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2518, 2529, 2554, 2599, 2670?\nAnswer: 2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.9359, -6\/5, -4.7?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*v - 2*v + 0*v)*(1 + 0 - 2) + 11369*v - 19396*v - 15039*v to z + g*v and give g.\nAnswer: -23064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from blbpbubbltpobuu. Give prob of picking 2 u, 1 t, and 1 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1\/25062, -1\/9, -4\/7 in decreasing order.\nAnswer: 1, -1\/25062, -1\/9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -19. Is 6 a factor of (-99)\/i - (-14)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*f + 2*v, -4*f - 3*v + 3 = -0*f. Differentiate f + 1 + 2 + 4*j wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*n = 80*n - 106093. List the prime factors of n.\nAnswer: 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 5, e: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1013*v**2 + 3596*v + 92580054?\nAnswer: 2026*v + 3596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 19\/21, 3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 5748.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 11:03 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-111096 - 1657*i + 111096 - 31*i)*(1 - 14*i + 2 - 5) to y*i + l*i**2 + p and give y.\nAnswer: 3376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 22686*g - 30 = -22691*g, 2*g - 32 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from yuyydyyuc?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rzzrdzzzrzzrrrdzrz. Give prob of picking 1 z, 2 r, and 1 d.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12925 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -120, 6\/11, 0.2, 2.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + g**2 - g - 39. Let t be l(0). Which is smaller: -40 or t?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.1423 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3104 - 12401?\nAnswer: -15505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2873, -1805, -737, 331, 1399, 2467?\n\"Answer: 1068*k - 3941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -84  (b) 4\/7  (c) -34  (d) 4  (e) 1\/2  (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/41500 and 41\/993925.\nAnswer: 19878500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - (-32)\/6)\/((-34)\/51). Let i be 1 + v + 5 + 15. Suppose 3*h - 9 + 3 = 0. Solve -3*p - h*p = -i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(170) - (sqrt(170) + sqrt(170)*-1)*2))\/(sqrt(20)\/(sqrt(288) - sqrt(288)*3)).\nAnswer: -96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 2 + 9)*(1 - 2*t - 1) + 4*t + 4*t - 6*t as m + y*t and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -41?\nAnswer: 11\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 5:33 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 7 + 13 = 0, -4*h = -2*j + 14. Let i = -7 + 6. Does 33 divide (i*2)\/(j\/(-360))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2330411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 3*t + 3*v - 178, -5*v + 5 = 0. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 307 divide 335197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*y + 66*y - 9348 = 65*y. Calculate the remainder when y is divided by 67.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.55 + -4.052. Let d = k + 0.102. What is the nearest to 3 in -5, -2\/15, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2415555417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 7) to base 3.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*g**4 + 5433*g**3 + 1224098*g**2.\nAnswer: -336*g + 32598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9966\/7 - -1424. Which is the biggest value?  (a) i  (b) 61  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - -740102419179.\nAnswer: 740102419178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 337, 321, 259, 127, -99, -443?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 + 19. Solve -2*d - 4 - 6 = f, -d = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(238)*4*-4)\/sqrt(7))\/(sqrt(18) + -4*sqrt(1152)).\nAnswer: 16*sqrt(17)\/93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 12:05 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 0*k = 2*k - 538, 2*u + 3*k = 279. Let l = -330 - -342. Calculate the highest common factor of l and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from nnfnnnfnnnnnnnnnnnn.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r - 9. Let b be o(6). Suppose 4*a + 16 = 0, 7 = 3*k - b*a - a. Suppose 0 = c + 2*l - 7, 3*l + 2 = 2*c + 4*l. Sort k, c, 0.\nAnswer: k, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 41, -2\/41, 1\/10, 1?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3 - 2683*d**2 - 95880*d + 2038500.\nAnswer: (d - 2718)*(d - 15)*(d + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2589740 and 50?\nAnswer: 12948700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-36)\/28 + (-4)\/(-14). Is 6*(2 + f)\/1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 61 + -59. Let v = 19\/11 + -160\/99. What is the nearest to v in -5, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1117544 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wzzzpzmzpzmzzwmzzzmz. What is prob of picking 1 m and 1 w?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 AM and 9:05 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 475542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -1138*n**2 - 3380*n + 125. Give v(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9601 - -9601. Which is the second smallest value?  (a) -1  (b) -3  (c) 0.3  (d) f  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -19*i**3 + 18*i**2 + 44*i + 12. Determine p(-2).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.236097g to milligrams.\nAnswer: 236.097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -20. Let x = -21.19 + o. Is x at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/11 in -4, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 753734 is divided by 188423.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = w - 19. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*j - 3*j + 0*j)*(13*j**2 - 2*j**2 - 77*j**2) to f*j + l*j**2 + h + y*j**3 and give y.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3*z + 155, -y + 2*z + 157 = 6*z. What is the remainder when y is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 4 - 1 - 2 + l. Let h(j) = 2*j**2 - 2*j + 14. Let y(z) = -h(z) + 6*t(z). Factor y(r).\nAnswer: -2*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -6*p + 2. Let l(w) be the third derivative of -w**4\/8 + w**3\/6 - 10*w**2. What is 5*l(v) - 2*y(v)?\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 33*n**2 - 1. Let p be q(-1). Suppose 0 = -6*b + 2*b + p. List the prime factors of b + (-5)\/(10\/(-4)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20220 (base 3) to base 10\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -7. Let v = -383 - -381. Which is the closest to -2?  (a) m  (b) v  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2. Let k = 17 + -16. Give r(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 9) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -6*y + 56. Suppose 0 = 3*r + 3*j - 171, 6*r + j - 165 = 3*r. Calculate the remainder when r is divided by m(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2cc (base 15) to base 5.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107 = 4*o + 2*u - 3*u, 2*o = -u + 55. What is the remainder when 52 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -29789698.531 and -102.\nAnswer: -29789800.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 5*a**4 + 35*a**3 - 25*a**2 - 110*a + 75. Let c(s) = -3*s**4 - 18*s**3 + 13*s**2 + 54*s - 38. Let b(z) = 5*c(z) + 2*f(z). Factor b(o).\nAnswer: -5*(o - 1)**2*(o + 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -210 - -237?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 250 = 5*x, 5*x + 232 = 10*x + 4*n. Calculate the lowest common multiple of 12 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -151420 (base 9) to base 16.\nAnswer: -16afd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*q - 21 = 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 200\/120*1*(1 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -201895020.071 + 1.\nAnswer: -201895019.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1203 and 29.32?\nAnswer: 3.527196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2781 (base 11) to base 9\nAnswer: -4837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57352968?\nAnswer: 2, 3, 17, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 8:35 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.53 in -4\/59, 0.5, -4, 0.1, 1.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**5 + s**2 + s. Let u(b) = b**2 + 3*b**2 + 2*b**5 + 5*b - 7*b**5. Let k(n) = -3*u(n) + 12*w(n). What is the second derivative of k(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 12) to base 2.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, -1, 0.01.\nAnswer: -30, -1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -5*y - 63. Give k(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 2*y + 2 + 15, 2*y - 2*l = -2. Let b(t) = 2*t**2 - t - 9. Let d be b(y). Let v(s) = s + d - 19. Let q(n) = 26*n**2. What is v(q(i))?\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 5*v + 344 = 2*l, 5*l - 883 = -v. What is the remainder when l is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 d, and 1 a when three letters picked without replacement from adaddrpadr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36\/7 - -713\/140. Let m = -1416 + -465. Let s = m + 37687\/20. Calculate the common denominator of p and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 307042011?\nAnswer: 3, 31, 1100509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 1 + -1 - -2) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 6*l + 25. What is the remainder when h(-10) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-12)*(-24)\/2. Suppose 3*a = -0*a. Suppose p - 4*b - 20 = a, 5*b + 7 = -4*p - 18. Solve p = 4*n - s - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -3. Let p be ((-8)\/(-10))\/(c\/15). Let z(o) = 60*o. Let f be z(1). Calculate the highest common factor of f and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 5 = 33. Let q(k) = -c - 12*k**2 - 13 + 20. Let x(p) = p**2. Determine q(x(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.5 - -4. Let h = 0.5 + n. Let t = 0.22 - h. Round t to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -220202221001 (base 3) in base 6?\nAnswer: -14241344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xkdx when four letters picked without replacement from {r: 1, d: 1, k: 2, a: 4, x: 8}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 divided by -18?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, b: 12}. Give prob of sequence eb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {w: 3, o: 4, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9)\/(-3 - (-1 - 1)). Suppose -4*f + r*f - 10 = l, -5*f - 2*l + 25 = 0. Find a, given that -a**3 - a**3 - 10*a - 8*a**2 - 4 - f*a**3 + 3*a**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)*2)**2 + -2*sqrt(7) + 0 - (0 + 0 + sqrt(28) + sqrt(7)).\nAnswer: -5*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 4 = 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4794)\/714)\/((1\/3)\/(7\/(-3))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.45 + -2.4. Round w to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w**5 + 11*w**5 - 37*w**5 + (-w**2 + 2*w**3 + w**2)*(w + w**2 - w) + (-2*w**5 - 2*w**5 + 2*w**5)*(-2 - 1 + 2).\nAnswer: -19*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -9341048 and -9341046 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 + -10. Let u(y) = 3*y + 22. Let s be u(-9). Put 2, k, s in descending order.\nAnswer: k, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in -0.2, 0.3, -108?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5521, 4590, 3659, 2728, 1797?\n\"Answer: -931*q + 6452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 25 + 3*x**2 - 15*x - 1\/5*x**3 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gegggiggegigiiig. Give prob of picking 1 e and 1 g.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 6500664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -138.4932 rounded to one decimal place?\nAnswer: -138.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119416971?\nAnswer: 3, 39805657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**4 - 6*x**4 + x**4 + (-3*x**2 - 2*x**2 + x**2)*(-3*x**2 + 5*x**2 - 4*x**2).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20*k**4 + 24*k - 4 - 61*k + 4 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 10:52 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r**(-18)*r)*r**(-1))**(-2\/79) assuming r is positive.\nAnswer: r**(-32\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000072 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -24 + 24 + (19 - -1) - 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxxxxxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from xxwwlmmmwmwmllmlx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -x + 18. Let i(f) = 3*f**2 - 4*f + 8. Let j(t) = 5*t**2 - 9*t + 16. Let q(l) = -7*i(l) + 4*j(l). What are the prime factors of q(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of -5776*h - 4\/3*h**3 + 17 + 152*h**2. Factor p(q).\nAnswer: -4*(q - 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 3*x - 17 + 112, 3*v = -5*x + 114. Let f = -21 + v. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -12299*s**3 + 5*s**2 - 302*s + 6. Let m(r) = -18*r**3 - r**2 + r - 2. Let w(g) = c(g) + 5*m(g). What is the second derivative of w(z) wrt z?\nAnswer: -74334*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1124 in -2, 1, 0, -1\/5, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -71, -405, -1255, -2861, -5463, -9301, -14615?\n\"Answer: -40*f**3 - 18*f**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.238560411 to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8488 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-5) + (-6)\/10. Let g be 1 - ((0 - -1) + 2). Put -1, g, u in decreasing order.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.9 plus 9569?\nAnswer: 9548.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nhhc when four letters picked without replacement from {h: 6, n: 4, c: 2}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00304859 rounded to four dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 0*h - 1060005 = -5*h, -2*h = -4*v + 2119998. What is v rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**2 + 218760*s + 2990996100.\nAnswer: 4*(s + 27345)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 11 - (-13 + 8)) + 2184\/351. What is the nearest to a in 0.02, -1\/10, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 10*a + 32. Suppose 224*f - 20 = 19 - 39. Give s(f).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -82*m**2 - 90*m + 172.\nAnswer: -2*(m - 1)*(41*m + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 46683*s**2. Let x(u) = -u - 219. Determine x(r(p)).\nAnswer: -46683*p**2 - 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p**2. Suppose 0 = 3*a - 15 + 9. Let d(v) = 5 - a - 9*v - 3. What is d(q(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*v**3 - v + v)*(6 + 7 - 8 + (-1 + 3 - 1)*(0 - 1 + 3)).\nAnswer: 42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, h: 9}. What is prob of sequence hhh?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.6727 + 5088.3273. Let m = b - 5088.97323. Round m to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1932\/805*10\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 + -21. Solve -2*p = -y*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1867, -10022, -23629, -42700, -67247, -97282?\n\"Answer: -2*l**3 - 2714*l**2 + l + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*n + 120*n**2 + 8*n - 2*n - 22*n**2.\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -18121 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12163206149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -188.3134\nAnswer: 56.49402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**2 + 7*h - 6. Let i(u) = 5*u**2 - 21*u + 19. Suppose -3*b + 0 - 9 = 0. Let g(d) = b*i(d) - 8*t(d). Calculate g(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 437*-0.1427.\nAnswer: -62.3599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 231615*l**2 - 50*l. Let s(p) = -p**2. What is z(s(d))?\nAnswer: 231615*d**4 + 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3458593 + -9185.\nAnswer: -3467778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -2*i. Let z(x) = -4*x + 3 + i - 4. Let r be z(-9). What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1*(-18 - 579))\/((-1)\/(-3 - -1)) is divided by 169?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.54720468 to four decimal places.\nAnswer: 4.5472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/9  (b) 1.25  (c) -2  (d) 1\/3  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 - j. Let a(z) = 8*z**3 - 3*z - 12. Give a(k) + 6*o(k).\nAnswer: 2*k**3 - 9*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide (-4)\/((-2)\/(-1)) - -3 - -74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 444805 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0032009042 rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 465 and 425010.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 298659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {h: 1, f: 1, w: 1, y: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - -1120020?\nAnswer: 1120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19 or 2877?\nAnswer: 2877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 31897328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 3*f**2 - 5*f - 526 + 280 + 268 + 12*f. Let d(s) = 2*s**2 + 5*s + 15. Determine 7*d(n) - 5*u(n).\nAnswer: -n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - x**2 + 47 + 2*x**2)*(5*x + 0*x - 7*x).\nAnswer: -2*x**3 - 80*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15 - 11. Let o = 6 - v. What is the nearest to o in 2\/3, -5, 1\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -659, -700, -849, -1172, -1735, -2604, -3845?\n\"Answer: -11*c**3 + 12*c**2 - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -17, 407, -0.5, 0.125, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -9*u**2 - 7*u + 4. Determine j(-4).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2724565 divided by 305\nAnswer: 8933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -469 - 106 + 0*x**2 + 27*x**2 - 534.\nAnswer: 27*x**2 - 1109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 4*r = 3, 2*q - 4*r = 12. Suppose -1715 + 635 = -4*u - 3*x, -q*u = -4*x - 1080. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*c**4 + 0*c**4 + 4*c**4 + (-1 + 2 - 3)*(-109*c**4 + 612 - 612).\nAnswer: 214*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/158691358 and 38\/1914507?\nAnswer: 1428222222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 15) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -r - 2*d, -2*r = 3*r - 4*d - 28. Solve 0*p + 2 = -2*u - 2*p, 0 = -2*u + p - r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = 4*q + 12, 0 = -567*q + 566*q + 4*x - 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 2339 divide 525045013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 + -24. Let o(z) = z - 3. Let t be o(m). Solve t*u - 5 = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13006 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6045 - -6044. Does b = -132\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420.200951555 - 4?\nAnswer: 416.200951555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is 3967 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 800270 is divided by 380?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 AM and 7:25 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10823717 or 10823713?\nAnswer: 10823713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, w: 1, k: 6, y: 3}. Give prob of sequence kb.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 139 - 124. Calculate the greatest common factor of 120 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k**3. Let j(p) = -p**3 + 1. Let l(h) = -5*j(h) - 6*t(h). Differentiate l(g) wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 5*p = 2*p + 22, 3*b - 23 = -2*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.449929 to two dps.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*b**2 + 2*b**2 - 3*b**2)*(-21 + 20 - 67 + (3 - 3 + 1)*(3 - 1 - 3)) to q*b**2 + n + c*b and give q.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of h**5\/160 - 15*h**4\/32 + 189*h**3\/16 + 161*h**2 - 3. Find p, given that a(p) = 0.\nAnswer: 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.02 + 0.28. Let k = -1.5 + 2. Let m = g - k. What is the closest to 0.1 in -3\/5, -2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in sixty-one halves of a meter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5638055 = 30*w - 200035. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -78, 7, -6 in ascending order.\nAnswer: -78, -6, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2634 - -0.2764. What is the third biggest value in 1\/4, 4, 7, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(5\/(-6)))\/(6\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1013223 + 231?\nAnswer: -1012662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 46 - 18 = 0. Let h = 41 + z. Suppose 3*g + t + 3*t - 11 = 0, -5 = 3*g - 4*t. What is the least common multiple of g and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 322787, 322984, 323181?\nAnswer: 323378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3 = -0. Suppose 0 = -0*a + w*a - 3. Is 2 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 14*a**5\/15 + 16*a**4\/3 - 122*a**3\/15 + 28*a**2\/15 = 0?\nAnswer: -7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 74 - 79. Let b(g) = -2*g - 7. Give b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + 7*t - 4. Let v be r(-8). Solve -3*a + v*s = 2*a + 19, 0 = 3*a + 2*s + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1219427 to the power of 1\/2, to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**5\/7 + 7088*a**4\/7 + 42600*a**3\/7 = 0 for a.\nAnswer: -6, 0, 3550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1135 (base 6) in base 10?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 4*v - 28 - 17 = 0, -3*h - 3*v + 30 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3.16 or -1.66?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2422674 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/6)\/(6\/(-90)). Let d(h) = -8*h**2 + 4*h + 7*h**2 + 1 - 2. What is d(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/3  (b) 2\/3  (c) 3  (d) -5\/7  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -160282991 divided by 11\nAnswer: -14571181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of -3*a + 1\/56*a**7 + 0*a**3 + 0*a**2 + 1\/10*a**6 + 3\/16*a**5 + 0 + 1\/8*a**4. Factor r(k).\nAnswer: 3*k**2*(k + 1)**2*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-5 + sqrt(252) + 1))**2*-2.\nAnswer: -536 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -252 = -21*f + 15*f. Let g(q) = -143 + 13 - f*q + 14 + 41*q. Let i(z) = z**2. Give g(i(u)).\nAnswer: -u**2 - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r. Let h be f(-1). Suppose 11 = h*a - 0*a + 3*o, -o = 3. What are the prime factors of a\/(4\/5) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 6) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 PM and 3:09 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/5 - 511448*a\/5 - 12275904\/5.\nAnswer: 2*(a - 255748)*(a + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 20 = 8*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 973 - -1 - (-42)\/6.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(336) + 1*(sqrt(336) - (sqrt(336) + sqrt(336) + -1*sqrt(336))))\/(sqrt(12) - -6*-4*sqrt(12)))**2*-5 + 2.\nAnswer: 918\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(39*32\/2080). Let x = 0 + 7. Put i, -0.3, x, -3\/5 in descending order.\nAnswer: x, i, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1820387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -3*w + 14. Suppose 0 = -2*n + 8 - 0. What is the remainder when t(0) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 1514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*d = -77*d + 12. Find the common denominator of 40\/3 and (-154)\/48 - -8*d\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1717, 1777, 1951, 2299, 2881, 3757?\nAnswer: 4987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 93  (c) -0.4  (d) -41\/5  (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**2 - 5235*i - 1659618.\nAnswer: 3*(i - 2019)*(i + 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 257556*i**3 - 721278*i wrt i?\nAnswer: 1545336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7039*i**4 - i**2*l**2 + 9*i*l**2 + 1742*i*l - 2*l**2 wrt i.\nAnswer: 84468*i**2 - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 PM and 11:04 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = -6*k + 9. Let r(i) = i**3 + 6*i**2 - 8*i - 1. Let w be r(k). Solve -3*b = -w, -13 + 3 = v - 4*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 52546444 to the nearest integer?\nAnswer: 7249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 69*x + 1068 = -65*x, -z = 4*x - 544. Is 0 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56327 and 7900?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*p. Suppose p = -2*s - 3*h + 8, 0*s - h = 2*s. Let k(y) = y**2. What is k(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - v**2 + 15. Suppose 0*o = o. What is the remainder when r(o) is divided by (8\/6)\/(1\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 6 = -1. Let t be (-5 - -3)*(-6)\/4. What is the second derivative of -z + 1 - t*y**2 - 3*y + 7*y**2 wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90 divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-14) + (-30)\/(-7). Let p be r\/(-6) - 12\/(-126). Let f = -15 + 13. Which is the third biggest value?  (a) -3  (b) p  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -8601, -17198, -25795, -34392, -42989, -51586?\n\"Answer: -8597*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.05  (b) 0.4  (c) 2\/7  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13.9 and -108972.\nAnswer: 1514710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (23\/690)\/(3*5\/75)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 2\/629 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 61043.9999823695 + -61044. What is r rounded to seven decimal places?\nAnswer: -0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -20*j**3 + 5*j**2 + 11*j - 35. Suppose -3*r = r + 68. Let q(f) = -7*f**3 + 2*f**2 + 4*f - 12. Let n(k) = r*q(k) + 6*g(k). Determine n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*m**3 + 61 - 37*m**3 - 109 + 61.\nAnswer: 4*m**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 26814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1216.809l to millilitres.\nAnswer: 1216809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1429 (base 12) to base 15\nAnswer: a5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -58, -132, -236?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-13) + -5*128\/(-2600).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 + 13 + 11*w**3 - 3 + 4485*w - w**2 - 4481*w in the form c*w**2 + i*w + x*w**3 + n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -570\/31 - -9709\/496. What is the common denominator of 95\/100 + (-3)\/(-4) and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225 + 4*t + 227 - 452.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 466771575 and 56012589?\nAnswer: 1400314725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2724860 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1868 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s**2 - 4*s**3 + s**4 - s - 2*s**4 + 2*s**4 - s**2 to k*s**3 + i*s**4 + p*s + y*s**2 + f and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 2668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 - 65. Let t be d(0). Let w be (0 - (0 + -3))*-3. What is the units digit of 4\/(-18) + t\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1032)\/129)\/((-1)\/2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*u + 63*u - 22*u - 3*u - 3 + 12*u**2 + 4 as m*u + w*u**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*l = 165*l - 48*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -37412 divided by 398?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z**5\/2 - 55129*z**4\/2 - 303254*z**3 - 882226*z**2 - 771960*z = 0. What is z?\nAnswer: -7, -2, 0, 55140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p + 6 = -0*p + 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -606*l**3 - 251*l + 16. Let o(z) = -202*z**3 - 83*z + 6. Let g(s) = 3*a(s) - 8*o(s). Find the second derivative of g(j) wrt j.\nAnswer: -1212*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4*f + 8. What is q(15)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -4, -59 in decreasing order.\nAnswer: 0.3, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 + 99*u - 902. Let y be j(11). What is the greatest common factor of y and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 310 is divided by (13 - 9) + (102 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rxrarxrxrrxxorrdlr. Give prob of picking 1 o and 1 l.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -204721.51799892 + 204769.518. Let g = y - 48. What is g rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -6. Let d(j) = j**3 - j + 3. Let o be d(s). Suppose -o*y - 3 = -4*y. Solve y*b - 6 = -0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5421, 0.05, -2\/1535 in increasing order.\nAnswer: -2\/1535, 0.05, 5421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111928.\nAnswer: 2, 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*w**3 - 2*w**2 + 16\/3 - 4*w.\nAnswer: 2*(w - 4)*(w - 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1753*o**4 - 2293 wrt o?\nAnswer: 7012*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0674, -29\/4, -4, 268 in descending order.\nAnswer: 268, 0.0674, -4, -29\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 2 = 5*p, p - 103*t - 47 + 49 = -102*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -3 + (((sqrt(242)*-2 - sqrt(242)) + 3)*-5 + -1)*-5)*2)**2.\nAnswer: -514800*sqrt(2) + 5469336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -978 - -2906\/3. Let z = 9 + u. Let x(p) = -p - 9. Let h be x(-8). Put -2, h, z in decreasing order.\nAnswer: z, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/6*((-378)\/15)\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.249189 to 1 dp.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 66*f**2 - 12*f + 49. What is the tens digit of k(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22466 + 75834 - 53368 - 7*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 51 + -11840?\nAnswer: -1179a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -73 + -26 + (-35 - -38)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q - 607 - 2*q + 607 + 2*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2255*m + 8532. Is t(-8) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**1\/(v*v**(1\/5))*v**(2\/13)\/(v**5\/v) assuming v is positive.\nAnswer: v**(-263\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 62 + -42. What is the second derivative of 20 - 4*b - 21*b - 23*b**2 - g wrt b?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 9*i**2 + 15*i + 21. Let g(m) = -m. Let b(z) = d(z) + 3*g(z). Is b(-11) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/4 - 13870899*r\/4.\nAnswer: r*(r - 13870899)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.101624 + 8?\nAnswer: 7.898376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (9*(-12)\/(-2)*(-167)\/1169)\/(1\/7)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-170)\/(-24) - (-45)\/(-540). Let l(v) = -v**2 + 6*v + 10. Calculate l(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 5018352719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 3*r - 4. Solve -3*a = -11 + 2, r*b + 3*a = 25 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27539.9 + -0.12?\nAnswer: 27539.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/14, -12, -75.\nAnswer: -75, -12, 5\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/10 and 83\/196?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t + 2. Let j be p(-5). Let m = j + 4. Let r be 4\/6 - 5\/3. Put 0, r, m in increasing order.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.01, 1322, -0.3, 5, -5.\nAnswer: -5, -0.3, -0.01, 5, 1322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((0\/4)\/2)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -10)*(-17 + (-333)\/(-18) + -11)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 519 and 219531291?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -5*q**2 - 103*q + 21441. Give r(56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and 805432.\nAnswer: 805431.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 4) + -21 + 1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00023385 rounded to 6 decimal places?\nAnswer: 0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 102362998*t**2 + 66502001*t wrt t?\nAnswer: 204725996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 7:17 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**4\/n)**(30\/7)\/((n*n**5)\/(n*n**(-1\/14)\/n)) assuming n is positive.\nAnswer: n**(95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q. Suppose 3*v = b + 7, -23*v = -18*v - 5*b - 15. Let w(g) = -6*g**2 + 5*g**v + 1 + 2 + 6*g**2. Determine l(w(h)).\nAnswer: 5*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3313 + -1293. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2271 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 0*h - 48 = -2*g, 0 = -4*h + 12. Calculate the highest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1592 divide 47662888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 3*n - 266, -j = 4*n - 76 - 190. Suppose 2*c - g = 282, 0 = -c + 3*c + 3*g - j. Calculate the remainder when c is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 - 2)*(0 - 2 + 4) + 3 + 1 - 5)*(-22*h**2 - 24*h**2 + 11*h**2).\nAnswer: 175*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 3*s - 1, 0 = -248*s + 250*s - 14. Let u = -1032\/5 - -207. Which is the closest to m?  (a) -3\/2  (b) -5  (c) -2\/7  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 + 32. Solve n*y - 2*y = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 + -3 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.69 * -0.4.\nAnswer: -0.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18640.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 105468 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-2\/11)\/c)**(-50)*c**(1\/4)*c**7 assuming c is positive.\nAnswer: c**(719\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*u + 3 = -30*u + 2*w, 0 = -4*u - 5*w + 6. Which is bigger: 7\/285 or u?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 60*b**3 - 6*b**2*p + 1675*p wrt b?\nAnswer: 180*b**2 - 12*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*g + 5)*(-477838 + 477838 + 37*g**2 + g - 3*g**4)*(6 - 5 - 2).\nAnswer: -6*g**5 + 74*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -443068 at least as big as -443066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1092 + 1095.035. Let c = -0.035 + o. Let r = 2.9991 - c. Round r to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18*0.8403.\nAnswer: -15.1254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -46 (base 16) to base 13\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 13\/69, -30, 0, -2774 in increasing order.\nAnswer: -2774, -30, 0, 13\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -200*i**2 - 2218*i - 178. Determine p(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1574.51552 + -0.01552. What is u rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*x + 8 - 8 - 72*x - 31*x.\nAnswer: -186*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1200497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -111220 (base 3) to base 8\nAnswer: -567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 + -1.9. Let i = 1.6 + u. Let y = -440 - -440.4. Sort -0.5, i, y in descending order.\nAnswer: y, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -17*q + 240. Suppose 5*m + 5*u - 65 = 0, 0 = 6*m - 4*m - 4*u - 20. Is 36 a factor of v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -6*j + 24. Suppose v = -0*u + j*u + 3042, -4*u = -4*v + 3036. Let p = u + 451. Round p to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -5. Suppose -130*u - 58 = -4*v - 135*u, -v - 4*u + 31 = 0. Solve -j*s = a + v, 3*a = -2*s + 3 - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (10 + -13)*2\/(-9 + 3). Let j(a) = 21*a + 7. Calculate j(z).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7317210 to the power of 1\/2, to the nearest integer?\nAnswer: 2705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 2*b = -0*b - 5, -b - 1 = 0. Let m be (j - -2) + (0 - 1). Suppose -3*k = m*k - 40. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of c**6\/120 - c**5\/30 - c**4\/6 - 2*c**3\/3 + 57*c**2. What is n(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + -8 + 14 + 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 5 = -0*i - 3*c, 2*c + 35 = 5*i. Let s be 60\/18*3\/i. Suppose 3*l + 2*g - 27 = -g, -16 = -s*l - g. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - 9*j + 114. Let l be m(0). What is the greatest common divisor of l and 32262?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 126 divided by -4763\nAnswer: -126\/4763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102)*1*-5)\/((sqrt(48)\/sqrt(4))\/sqrt(2)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 12461  (b) -15  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 107839 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2042 + 10?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from wtkrrwiriwrnikrikwk?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -4*s. Let m(v) = v + 133. Calculate m(g(w)).\nAnswer: -4*w + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -46041 - -771?\nAnswer: -45160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 2*j - 3*j = -11, -11 = -4*p - 3*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -797090, -797093, -797098, -797105?\nAnswer: -797114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of 0*k**5 + 0 + 19\/15*k**6 + 0*k**2 + 81*k + 157\/6*k**3 + 1\/6*k**4. What is the second derivative of j(p) wrt p?\nAnswer: 456*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p**2 - p - 5. Let c(d) = d**2 + d - 1. Let r(n) = -c(n) - m(n). Let w = -7 - -7. What is r(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*d - 197 + 3827. What is the highest common factor of 60 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 24*h + 14. Let r(t) = -24*t - 13. Let w(k) = -6*o(k) - 7*r(k). Let l be w(6). Suppose 4*q - 5*u = -4*u + l, -3*q + 102 = 3*u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 264 is divided by 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -39624 divided by -39?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000001101 (base 2) in base 3?\nAnswer: 201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o + 7*o - 3*o)*(-1 + 0 + 0) + (3 + 1 - 1)*(-3 - 3*o + 3) - 4 + 4 - 3*o as b*o + r and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + -6. Is -6 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/8 + 1\/(-4). Let n = -17\/3 + 71\/12. Which is the second biggest value?  (a) n  (b) m  (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 3585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 489749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/1 + (-263)\/(-7). Let j = -252203 - -252205. Find o, given that -48\/7*o**3 + 4\/7*o**4 + 0 - w*o + 192\/7*o**j = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/27?  (a) -2  (b) -1\/10  (c) -2\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j + 5*j + k - 111, 2*j - 46 = -2*k. Calculate the lowest common multiple of j and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.28 + -0.54. What is z rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 3:39 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of i**4 + 79*i**3 - 914*i**2?\nAnswer: 24*i + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -r**8\/840 + r**7\/525 + r**6\/150 + 14*r**2 + 47*r + 2. Let l(k) be the first derivative of q(k). Factor l(t).\nAnswer: -2*t**3*(t - 2)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-352)\/(-40) + -6 + (-8)\/10. What is the first derivative of 9 - 243*j**2 - 243*j**w - 100*j**4 + 486*j**2 wrt j?\nAnswer: -400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6260828 times -0.1?\nAnswer: 626082.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*g**3 + 0*g**3 + 0*g - 5*g**2 + 3*g**2 - g as p + o*g**3 + w*g**2 + j*g and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59874 (base 10) to base 9.\nAnswer: 101116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 272 divided by -68.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1445579 + 1502681 = -93*i + 233*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 12 = -6*n. Sort -5, n, 4 in decreasing order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6128, -8112, -10098, -12086, -14076, -16068?\nAnswer: -18062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/20*12)\/(1\/((-12)\/18))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 1.4  (c) -2  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 207 = 5*h - 102, -3*h + 2*r + 186 = 0. Let g = h - 60. Solve g = -3*m - 2*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0041714393 to 5 decimal places.\nAnswer: -0.00417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c + 1. Let n(k) = -1. Let d(p) = n(p) + s(p). Let a(q) = 11*q**2 + 6*q + 18. Let h(j) = -2*j**2 - j - 3. Let m(t) = a(t) + 6*h(t). What is d(m(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*w + 81000 = 186*w. Let z = -23 - -33. What is the highest common factor of w and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 196 and 2686?\nAnswer: 2490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 3*x**2 + 2*x + 4. Suppose -4*m + 22 - 6 = 0. Let k be r(m). Let q be (-9)\/3 + 4 + k. Are q and -16\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 7*a**2 + 2*a + 1. Suppose -2*c + 24 = 5*z, 4*z + 0*z = -c + 18. Suppose -c*q - 1 = 1. Give v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d - 4. Let u(h) be the third derivative of -h**4\/4 - 9*h**3\/2 - 5*h**2. Let z(t) = 27*q(t) - 4*u(t). Let g(r) = 2*r. Determine z(g(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 91210*k**5 - 2*k**4 + k**3 - 1122817*k?\nAnswer: 1824200*k**3 - 24*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 11, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2192 is divided by 176?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do 839505773 and 839505771 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2142 + 2144. What is the nearest to w in 0, -19, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -43 + -11. Let i = 68 + z. Calculate the greatest common divisor of i and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 7*i**2 - 9*i + 10. What is the remainder when b(4) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5166590 a multiple of 1719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*x - 1140 = -16*x - 4*p, 0 = -x + p + 277. What is the remainder when x is divided by 92?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 + 5. Let m = 4 + -7. Let c = b - m. Solve 6 = -v - c*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 34, 132, 294, 520, 810, 1164, 1582?\n\"Answer: 32*s**2 + 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.09  (b) -0.5  (c) 0.16  (d) -2\/5  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -239117 - -529217. What is q rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -10 + 18 + -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 643.\nAnswer: 4\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/5986 and 109\/35424.\nAnswer: 2585952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -13811.1 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.39 times -14?\nAnswer: -5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 84 - 56. Let a be (441\/(-6))\/7*4\/(-6). Calculate the greatest common factor of a and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.9909 plus -57?\nAnswer: -69.9909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l - 5*l + 2*l + 3*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13895403 to the power of 1\/2, to the nearest integer?\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 13*x**3 - x + x**4 - 6*x**3 + 6*x**3 - 19*x**3 + 2*x as g*x**4 + o*x + z*x**2 + r*x**3 + u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1750\/(-28)*8\/(-10)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 2  (b) 0.1  (c) 108  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*l + 259 - 259.\nAnswer: 95*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + (-2 - -6) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + 4425\/175 + (-665)\/1813.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(-3 + (-4 + -2*sqrt(192) + -4)*4) + 1)*4)**2.\nAnswer: 282624*sqrt(3) + 862608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 3\/7  (b) 54  (c) -13  (d) 2  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 208*v**2 - 53*v**4 + 55*v**4 - 9*v**3 + 7*v**3 as p*v**2 + z*v**4 + d*v + b*v**3 + i and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s**2 - 14*s + 14*s)*(-s - 5 + 8 - 5*s).\nAnswer: -30*s**3 + 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 85923890 rounded to the nearest one million?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -43, -36, -25, -10?\n\"Answer: 2*p**2 + p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1034250 + 12551?\nAnswer: -1021255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.090607794 rounded to 5 decimal places?\nAnswer: -0.09061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13066520.\nAnswer: 2, 5, 326663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-4) - (-14)\/20. Let j = -5.68 - 0.32. What is the smallest value in n, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 679 - ((-1 - 1) + (-4 - -7)). Let d = l - 541. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/37)\/(r**(-35)\/r))\/((r*r*(r**(-11\/5)*r)\/r)\/r)**43 assuming r is positive.\nAnswer: r**(16216\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g - 6*g + 9*g)*(-10 - 2 + 3)*((0 + 0 - 2)*(2 - 3 + 3) + (-1 + 1 - 6)*(-1 + 4 - 5)) as w*g + d and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.07 - -0.07. Let l = -1 + x. Which is the second smallest value?  (a) 4  (b) 1\/5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a - 8. Let i be l(4). Put -5, -3, i in increasing order.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(1792)*1)\/(-3*(sqrt(4) + (3*sqrt(4) - sqrt(4)))).\nAnswer: 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1947 and 3717.\nAnswer: 40887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/4 + (-45)\/12. Suppose 0 = -4*w + v + 22, -3*v + 23 - 11 = w. List the prime factors of 348\/w - (j - 0).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6b1 (base 12) to base 16\nAnswer: -3e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - 2\/(-3))\/((-4)\/(-6)). Let c(m) = -3*m - 31. Let j = 110 - 117. Let g be c(j). What is the smallest value in 4, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14255 is divided by 216.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/21*75\/20)\/(3\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 4165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*v + 51*v = 35 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 71*b**2*d + b**2*h - 2181*b*d*h - 343*b*d + 23*b*h - d*h - h + 344 wrt h?\nAnswer: b**2 - 2181*b*d + 23*b - d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1508 - 1511. Let k = -0.1 - 3.9. Let r = k + -6. Are r and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 + 9*g + 2. Let f(j) = 2*j**2 + 16*j + 5. Let v(l) = -7*c(l) + 4*f(l). Suppose 1 = 2*x + 11. Calculate v(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110101011000 (base 2) in base 6?\nAnswer: -23452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2990.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -694326 to the nearest 1000.\nAnswer: -694000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/3)\/(10\/15). Which is smaller: h or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-6*3*(2 + (sqrt(605) + (sqrt(605) - (sqrt(605)*-1 + sqrt(605))) + sqrt(605))*-2)*1)**2.\nAnswer: -85536*sqrt(5) + 7058013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 640*x. Let o(y) = -2*y**2. Calculate o(b(a)).\nAnswer: -819200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = d + 6, 5*d + 38 = 3*c - 2. Let k(p) = p**2 + 7*p - 26. What is k(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2728 + -58402239989?\nAnswer: -58402242717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -12, -7, -4, 17, 0 in descending order.\nAnswer: 17, 0, -3, -4, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -190*v**4 + 486*v**3 - 4750745*v**2 wrt v.\nAnswer: -4560*v + 2916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - 8 - (-5 + 9 + -6 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8426947.\nAnswer: 23, 31, 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**2 - 3*l + 1. Let y be v(2). Factor -5*i**4 + 0*i**y + i**4 - 2*i**3 + 2*i**4.\nAnswer: -2*i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 3*d**2 + 58*d - 328. What is g(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -8*m - 12*m**2 - 6 + 13*m**2 + 11*m. Let b(q) = -q**2 - 2*q + 4. Let v(k) = 3*b(k) + 2*r(k). Let s(x) = -39*x. What is v(s(t))?\nAnswer: -1521*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 - 2*g**2 - 2*g**2 + 12*g**2 - 1821*g**3 + 1830*g**3 + 9*g. Let c(x) = 14*x**3 + 13*x**2 + 13*x. Determine -5*c(l) + 7*m(l).\nAnswer: -7*l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -7*q**3 - 2165*q**2 - 453*q + 50981. Calculate o(-309).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of -7*n**2\/2 + 2*n - 1. Let c(x) = -2*x + 1. Let p(j) = 7*j - 4. Let t(k) = -5*c(k) - p(k). Calculate 4*l(v) + 10*t(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g - 2*g**4 + g)*(25*g - 32*g - 437*g).\nAnswer: 888*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.876779 minutes?\nAnswer: 52.60674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*f - f + 3*f + (16*f - 3*f + 3*f)*(4 - 1 - 2)*(-1 + 5 - 5) + 135 + 40*f - 135 to the form c + u*f and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14831715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (21\/4)\/7*(-8)\/(-21). What is the smallest value in -5, a, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -82441 > -82444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 780320 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -614 + 71*y + 78*y + 614 to w + a*y and give a.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 7) + 42\/(-2). Let i be 0 - (-4)\/f - (-36)\/234. Suppose 0 = -4*n - 4*w + 604, i = -n - n + 3*w + 307. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6500238 - g**3 + 6500238.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 18 = -3*s. List the prime factors of ((-7)\/3)\/(3\/s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -30, -58, -88, -120, -154, -190, -228?\n\"Answer: -z**2 - 25*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 47405635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -139 - -183. Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 747 - 747. Let q = -10 + 21. Let h = -9 + q. Which is the smallest value?  (a) h  (b) -3\/2  (c) -3  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -11*u**2 + 52*u - 17. Let s(l) = 4*l**2 - 17*l + 6. Let t(y) = 6*i(y) + 17*s(y). Let c(h) = -2*h. Determine t(c(n)).\nAnswer: 8*n**2 - 46*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 235785466 + -235785461.99999869. Let t = -4 + k. What is t rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 1394*d + 4066. Calculate y(-4).\nAnswer: -1510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.043083457 to 4 dps.\nAnswer: 0.0431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ydyy when four letters picked without replacement from {d: 1, y: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 4*w = -h + 361, -295 = 4*h + 3*w. Let d = 77 + h. What is the lowest common multiple of d and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*s + 160 = -59*s - 290 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -333 + 143. Let q = c + 111. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7130 - -5?\nAnswer: -7128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.087 and 0.162.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2084*t + 452*t**4 - 916*t**4 - 40*t**3 + 463*t**4 - 115*t**2 + 41*t**3 wrt t.\nAnswer: -12*t**2 + 6*t - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 58*c + 1761. Calculate h(-31).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36249\/(-5620) - (2\/(24\/(-234)))\/3.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - -44) + (-805)\/23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1739971, 1739934, 1739839, 1739656, 1739355, 1738906, 1738279, 1737444?\n\"Answer: -5*m**3 + m**2 - 5*m + 1739980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -615.9 - -615.8. Let n = -11 + 11.2. Let w be 1\/14 - (-2)\/(-4). Which is the closest to 0.1?  (a) y  (b) n  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 - w**2 + 0*w**2)*(1 + w - 1)*(-12*w - 4*w + 10*w)*(0 - w + 0).\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 13*s**2 - 14*s**2 + 13 - 3. Let v be (-8)\/12 - (-2)\/3. What is the tens digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*c = 180, -3*r - 270 = -0*r + c. Let z = r + 149. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46 + -55 + (-3 + 6 - -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (40182\/18)\/((-4)\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*(f*f*f*f\/(f*f**15))\/f)\/f)\/f)**(3\/34)*(f**(5\/4))**(-5\/6) assuming f is positive.\nAnswer: f**(-929\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**2)\/c)**(-2\/71))**(-44) assuming c is positive.\nAnswer: c**(-176\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 22260424 divided by 4?\nAnswer: 5565106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 15636176 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 3*c + 5 - 4, -4*f + 20 = -4*c. Solve -f*a - 16 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*i - 6790*g + 6786*g + 388, -5*i + 352 = 4*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - l, -z = -6*z + 3*l + 6. Let v(g) = 6*g**2 - g - 5*g**2 - 2 - g**3 - 2*g**z - 2*g**3. List the prime factors of v(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (90 + 4620\/(-45))\/(1\/(-3)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 2  (c) -0.3  (d) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 471510 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 126480684643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 2*v. Let f = -24 - -18. Let u be ((-24)\/234)\/((-1)\/f*-4). Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -3*m**2 + 6*m - 51. Give l(5).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*i - 57 - 84 + 36 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d + 20*d - 76155 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(2\/7))**(1\/4) assuming d is positive.\nAnswer: d**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -4*r + 17, -8*x + 6*x - 22 = -4*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.68 rounded to one decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 597309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 473609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 139878 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -86087*k + k**3 - 8 - 3*k**3 + 19*k**2 - 1 + 86088*k to r*k**3 + i*k + f*k**2 + w and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ululluquuudc. What is prob of picking 1 l and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 PM and 6:17 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 473080663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 255*f**2 + 746*f - 10. What is the units digit of n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.9?  (a) -0.5  (b) 0.4  (c) 21  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -2062?\nAnswer: -2063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22800.002 - 23106.7. Let d = 307 + s. What is d rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -392*t - 179*t - 5710 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1592 (base 12) in base 7?\nAnswer: 10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of z**4\/12 - 2*z. Let x(m) = 19*m. Calculate w(x(i)).\nAnswer: 361*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.02 - 0.38. Let h = 7 + -5. Put s, h, -3 in descending order.\nAnswer: h, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -25*z**2 + 16. Let y(l) = -4*l. Calculate y(j(o)).\nAnswer: 100*o**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 51)\/(10\/(-25)). Let r(q) = 2*q**3 + q - 1. Let j be r(1). Suppose 0 = -j*z - 43 + 147. What is the highest common divisor of z and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2033*l - 3*l**2 - 2*l**2 + 859*l + l**2.\nAnswer: -4*l**2 - 1174*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7054886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 66 + -163. Let g = v - -96.9. Which is the closest to g?  (a) 5  (b) -6  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41 - -43. Suppose c*x + 8 = n, 3*n - 27 = 3*x - 9. Let s(v) = n*v - 6 - v - 4*v. Give s(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 4:45 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + j = q + 7, -8 = -2*q - 2*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 5*t**4 - 166*t**3 + 2187*t**2 - 2. Let q(c) = 11*c**4 - 334*c**3 + 4374*c**2 - 5. Let h(o) = 2*q(o) - 5*u(o). Determine w so that h(w) = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30 - -34. Solve 5*v + n = 21, a*v + 4*n + 3 - 23 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/6)\/((-3)\/(-9)))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 PM and 10:01 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -50*264.1\nAnswer: -13205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -k - 8. Suppose -6*b = -2*b. Suppose -k*c + 3*c = b, -j + c = -77. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 627359*f + 9. Let n(x) = -8*x. What is n(p(u))?\nAnswer: -5018872*u - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v - 2*v + 0*v + (-v + 3 - 3)*(-4 + 2 - 1) + 66 - 66 - 6*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 620 - 1694 - 6588*n - 1594 - 1227*n - 73*n wrt n?\nAnswer: -7888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (56\/784)\/(5\/(-1190)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10 - (0 + -2 - 0). Suppose 4*o + s = 8*o. Suppose 5*r - 27 = -43*j + 41*j, 2*r = 2*j + 8. Sort j, o, -2 in descending order.\nAnswer: o, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/3  (b) -20  (c) -1\/20  (d) 7\/31  (e) 4\/3  (f) 2\/23  (g) 2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128042 is divided by 64005.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5411\/510 - 28\/255. Let f(m) be the first derivative of 0*m**4 + 2 - 1\/5*m**5 + x*m**2 + 0*m**3 + 0*m. What is the second derivative of f(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 2 - 28 = 0. Let g = i - 8. Solve 3*k - v = -8, g*k + 4*v = -0*k - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 156 = g. Let i = g - 30. Calculate the smallest common multiple of i and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of 13*m**5\/10 + m**3\/6 + m**2\/2 - 31*m. Determine l(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a2098 - -4?\nAnswer: -a2094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4997\/20384 + -23\/2912. Calculate the common denominator of -19\/36 and s.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 166*j**2 + 14*j + 27. What is the hundreds digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 + 49. Find the common denominator of (2\/(-6))\/(4\/282) and ((-10)\/o)\/((-2)\/(-46)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -536, -512, -490, -470?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 104*k**5 + 80*k wrt k?\nAnswer: 2080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2268, 2240, 2200, 2142, 2060?\nAnswer: 1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 - 5*v**2 - 9*v - 24. Calculate k(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2148672*y. Let u(o) = o. What is u(x(i))?\nAnswer: -2148672*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 15  (b) -0.05  (c) -3\/5  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -348976 - -1046929\/3. Factor -1\/3*h + 3 - 3*h**2 + r*h**3.\nAnswer: (h - 9)*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26997.\nAnswer: 3, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 810 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.48 - 1.3. Let f = -3.68 + a. Let z = 0.5 + f. Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1 + (0 + (1*sqrt(1539))**2)*1).\nAnswer: 4614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (19 + -3 - -19 - 18 - 38)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 650 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 98473409*v + 7515915 with respect to v.\nAnswer: 98473409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5729 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -245159*g + 9. Calculate m(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 - q. Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -2\/5, 8\/5, 1\/2 in increasing order.\nAnswer: -2\/5, -2\/9, 1\/2, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1150\/280 - 100\/35?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 35*z - 239. Determine x(-20).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-49)\/7 - (40\/8 + -11). Put h, -51, -0.4 in ascending order.\nAnswer: -51, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2 = 4*t + 2*x, -4*t = x - 1. Suppose t = -5*o - 2*y + 6, -2*y = -5*o - 3 - 3. Solve 0 = -o*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is d + -1409c?\nAnswer: -1408e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k + 160. What is the smallest common multiple of m(26) and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 1)*(-200375678 - 14944*l + 200375678).\nAnswer: -29888*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -12*m - 383. What is n(-31)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 9*v**2 - v + 3. Let y be q(3). Let d = 232 - 223. What is the highest common factor of d and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**4 - 1225*k**3 + 185412*k**2 + 666512*k - 379456 = 0?\nAnswer: -4, 1\/2, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -191*o**3 - 112861*o + 22407718?\nAnswer: -573*o**2 - 112861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-128)\/(-1536)*96\/(-99)*27\/(-3)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 7, -1\/3, 0.1, -8 in ascending order.\nAnswer: -8, -1\/3, 0.1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5\/174, -1722, 2, -4\/7?\nAnswer: 5\/174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 887935935?\nAnswer: 3, 5, 4691, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24028 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0178177 rounded to 4 decimal places?\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k - 1. Let z be a(-3). Suppose z = l + 4. Let x(t) = -2*t - 4*t - 2 - 1. What is x(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of -2 + (-7 - -32066) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -312 - 81 + 2120*j**4 - 1252 + 1018*j**4 - 531 wrt j?\nAnswer: 12552*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (7 - 10) + 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (((-1992)\/9)\/(-2))\/(0 - 16\/(-24)) is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 982 and 562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 107 - 139. Find the common denominator of -105\/88 and (34 + -8)\/(d\/(-14)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -137035*k - 411102. What is w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - w - 38. Let t be g(11). Let x be (-22)\/t - (20\/15)\/(-4). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 4, 4\/7, 8, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -832 - 1440?\nAnswer: -2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -283*u - 79*u - 2*u + 8921 + 6003 = 0 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of -9\/2*b**2 - 1\/20*b**5 - 3\/4*b**4 + 0 + 5*b - 11\/6*b**3. Is 15 a factor of x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((o + 2 - 2)*(-5*o + 3*o + 3*o) + (23*o - 24*o - 26*o)*(0 + 0 - 2*o))*(3*o + o**3 - 3*o).\nAnswer: 55*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29245\/3689 - 1\/1054. Find the common denominator of -107\/22 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(18\/5)*d*d**(-1\/15) assuming d is positive.\nAnswer: d**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 divided by -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*y**3 - y**3 - 2*y**3)*(3*y + y - 2*y)*(-5 + 1 - 4) in the form f*y**4 + x + u*y**3 + h*y + b*y**2 and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + 34?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3513791*c**2*q*s - 466*c**2*q - c**2 - 2*c*q - 200*c + q + 9*s wrt s?\nAnswer: -3513791*c**2*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + 2. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/(h*h**(-6)))\/(h*h**15*h) assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 4*h + x + x, 5*h = -3*x + 28. Let f = 0.1 + -0.1. Let i = f + -2. What is the nearest to 0 in -3, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 973 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5221503 + -331?\nAnswer: -5222234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 18)*(4*v - v - 5*v + 5*v + 0*v - 4*v + (v - 3*v + 0*v)*(-3 + 2 + 2)) + 3*v + v - 3*v + (-2*v + 3 - 3)*(2 - 5 + 1) - 2*v + 2*v - v.\nAnswer: -44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 38 + 1 - (2 + -4 - -5). Suppose -3*o = -4*o + v + 19, 4*v + c = 2*o. Let g(w) = w + 8. Is 4 a factor of g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 - a**2 + 2*a**2)*(63*a**3 + 397*a**3 - 97*a**3).\nAnswer: -363*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1021120210000 (base 3) to base 9.\nAnswer: -1246700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(30429\/1519 + (2 - 22))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18 + 13. Let q(i) be the third derivative of -7*i**4\/24 - i**3 - 42*i**2. Let z(v) = v + 1. Calculate p*q(j) - 30*z(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 124581 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 33\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*n + 2*n + n)*(278*n + 0 + 3 - 276*n) as h + c*n**2 + u*n and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rpapnxx. Give prob of sequence xna.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -16681, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 924296 (base 12) to base 16\nAnswer: 22ea92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -10. Suppose -3*v + v = -d*o - 14, -2*v + 10 = -4*o. Let l be o\/(-18) - 140\/(-18). Calculate the greatest common divisor of 88 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 61 and 13461053?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z + 1038. List the prime factors of f(-70).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) - (sqrt(88) + -6*-1*sqrt(88)) - sqrt(88))\/sqrt(8).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15876 by 1.\nAnswer: -15876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*u + 11*u - 155 + 154 + 9*u.\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/4)\/((-237)\/(-632))*(-1)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001861 to seven decimal places.\nAnswer: -0.0000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 30244 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 45126298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.845 - -2.7. Let w = n + 0.245. Which is the biggest value?  (a) w  (b) 3\/4  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.18 + -2.48. What is the third biggest value in -0.2, 1, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -224, -324, -410, -476, -516?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-468)\/(-126))\/(3\/(-21)). Which is the second biggest value?  (a) -2\/5  (b) 1  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46740539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 79435, 158082, 236727, 315370, 394011, 472650, 551287?\nAnswer: 629922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 278 a factor of 1405568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-101 + 1)*(1903 - 3). Let s be g*-2*(-9)\/(-6). What is s rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1113322553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -83 + -18 - (52 + -60 - -5)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -5*v**7\/168 + 13*v**4\/12 + 12*v**3 - 22. Let m(y) be the third derivative of s(y). Differentiate m(l) with respect to l.\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -5 + 4*q - 3*q - 6 + 16 - 5*q**2. Let m = 323 + -328. Let g(s) = 5*s**2 - s - 4. Calculate m*g(p) - 4*d(p).\nAnswer: -5*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 959 = -42*p - 302 + 253 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 63*w**2 - 193*w - 2987. List the prime factors of j(-17).\nAnswer: 3, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000094995445 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1158734*f**6*u**2 - 2646*f**2*u**2 + 313*f**2*u wrt f?\nAnswer: 139048080*f**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 6 = 2. Suppose -t*m + 3*m + 1 = 0. Suppose q = -m, 4*i - 2*q = 4 + 2. Solve 2*n + 11 = -2*c + i, 0 = -n - 4*c - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -144201143 + -141?\nAnswer: -144201334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 135, 1, 343, -3 in descending order.\nAnswer: 343, 135, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-3\/5)\/b*b\/(b**(4\/5)*b))\/(b**(-1)*b**(2\/23)) assuming b is positive.\nAnswer: b**(-56\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 78.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 0, 2*x + 3*r - 3 - 1 = 0. Suppose x*z - 2 = 4. Suppose 0 = -4*w - 1 + 5. What is the highest common factor of z and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 11.547  (b) 20  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q**2 - 39*q**2 + 15*q**2.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000051592464 to six dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -509, -1\/5, 0, 4 in decreasing order.\nAnswer: 4, 0, -1\/5, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d. Let s(n) = 104*n - 6. Let p be (-4)\/18 + -1*21\/27. Let w(q) = -1. Let z(y) = p*s(y) + 6*w(y). Give m(z(x)).\nAnswer: 208*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -9*s. Let x = 637 + -635. Let p(u) be the second derivative of -1\/6*u**3 + 0 - 5*u + 0*u**x. Calculate p(i(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 290  (b) 2  (c) -2\/237  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 5, 0 = 4*m + 9*h - 7*h + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 0) + 2 - (20 + -18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29860*o**4 + 4*o**2 + 6 wrt o.\nAnswer: -716640*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -w**2 - 6*w - 18. Give g(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 93 - 66. Calculate the common denominator of h\/(-28) + (-2)\/(-8) and 68\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13 or 7\/128?\nAnswer: 7\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*x - 3. Suppose -x*t = -4*p + 65 + 255, 5*t + 96 = p. Calculate the greatest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110011 - -101110000110011?\nAnswer: 101110001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 11  (b) -3  (c) -0.1  (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l = 3*l + 8. Suppose 12 = 4*w - r - l, -2*w + r = -7. What is the first derivative of -56 - 58 + w*x + 107 wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 + 22.04. Let m = p + -0.34. What is m rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h + 4. Let g be b(-3). Is g bigger than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 3*l**2 + 2*l + 2. What is the remainder when (-215)\/(-8) + 6\/48 is divided by m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.966932 years to centuries.\nAnswer: 0.08966932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -30 and 4.8?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 8:51 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.82 + -121.42. Let k = 117 + i. Let n = 18.07 + -18. Which is the closest to 1?  (a) 0  (b) k  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -5*b**3\/3 - 20*b - 37. Let g(v) = -236*v + 1. Give g(a(o)).\nAnswer: 2360*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 6*f**2 + 6*f + 4. Let w be q(7). Let p = 22\/39 - 3\/13. Let j = -6 + 6.3. Which is the third biggest value?  (a) w  (b) p  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1607\/2 + -7163\/9. Let l be 1\/(-1) - (-185)\/(-4). Let s = l - -771\/16. Calculate the common denominator of s and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-818*y**2 - 5145*y + 5145*y + 1)*(2 - 2*y**3 - 2).\nAnswer: 1636*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*m = 4. Suppose -m*o + o = 0. Let x be (-1 + o - -20) + -4. What is the highest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(405) + -4) - sqrt(405))**2 + 1*(sqrt(405) + 1) + sqrt(405) - (0 + -2 + sqrt(405)*1*-3).\nAnswer: -2115*sqrt(5) + 10704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 542819.\nAnswer: 9\/542819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/3*1)\/((50\/40)\/((-195)\/52))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-50)\/20)\/((-4)\/(-8))*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -2*d**3\/5 - 10637782*d**2\/5 + 4255114*d - 10637786\/5 = 0.\nAnswer: -5318893, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 126 and 8406?\nAnswer: 58842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(416) + sqrt(416) + (sqrt(416) - (2*sqrt(416)*-1 - sqrt(416))) + sqrt(416))\/(sqrt(8) - 2*(sqrt(128) + sqrt(8)))*5)**2.\nAnswer: 63700\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1434634211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -5, 1.4, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 41916035 or 41916031?\nAnswer: 41916035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -110 - (-159 + 122 + 30)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02136 times 0.2?\nAnswer: 0.004272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57*-7.1.\nAnswer: -404.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(1\/15))**(-11\/3)\/(z**(2\/9))**30 assuming z is positive.\nAnswer: z**(-454\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + ((-2)\/(-7) - 1). Suppose 0 = -2*y + 7*y - 10. Suppose -4 = 2*m - 3*i, -y = -m - 3*m + i. Is o >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -4*p - 3, p + 2*l + 6 = 2*p. Let t be 3 + -2*212\/144. Are p and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, 310, -4\/11, 3, -1, 2.\nAnswer: -1, -4\/11, -2\/11, 2, 3, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/(-9))\/((-2)\/(-6))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 214764795 divided by -1.\nAnswer: -214764795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13788 by -23.\nAnswer: -13788\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 + s**2 + 3*s - 1. Let q be p(2). Which is smaller: q or 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*f - 37*f + 16 = -3*s, 12 = -4*f + 4*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 552920?\nAnswer: 2, 5, 23, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -292\/739 + -56369\/72422. What is the common denominator of 79\/8 and h?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -65*g + 154*g + 5 - 54*g - 60*g. Let j(l) = 24*l - 4. Determine -4*b(m) - 5*j(m).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - k**2 - 1. Let p(v) = 4*v**3 + 8*v**2 - 12*v - 9. Let r(b) = 5*d(b) - p(b). Let c be r(12). Solve -3*o = -5*n - 10, c*n + o - 10 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8217*l**3 - 19383*l wrt l.\nAnswer: 49302*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -11*d - 447. Calculate j(-153).\nAnswer: 1236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -956320*s - 1912633. What is i(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/4 + 15*m\/4.\nAnswer: m*(m + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -3  (b) 4  (c) 0.1  (d) 3642\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.02 - -4. Let u = k - -0.52. What is the nearest to -2\/5 in u, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1836.62 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/40)\/(-53*1696\/(-28090))?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -2*j - 12, -2*j + b = -b. Let p(f) = -2*f**3 - 2*f - 2. Does 18 divide p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528465074922 minus 0.1?\nAnswer: 528465074921.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -17*u. Let j(g) = -1782*g + 996. Let i(s) = -24*h(s) + j(s). What is the first derivative of i(l) wrt l?\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 67661 - -5?\nAnswer: 67666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 PM and 1:03 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/22 and -65\/418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -58025 - 1134922. Suppose 3*o + 120061 + a = 0. Let u = 272570 + o. Round u to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38 + -19. Suppose -5*x = 64 - f. Sort -4, x, 2.\nAnswer: x, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/9)\/((-189)\/9). Solve 4*w + 12 = f, -12*w + 13*w = q - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26892865 is divided by 8964278.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -11 - 2*v - 13*v**2 + 2*v - 4*v**3 - 4 - 4*v. Let r(m) = m**3 + 3*m**2 + m + 4. Let x(i) = -2*h(i) - 9*r(i). Give x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-425*f**2 + 7266*f**2 - 11976*f**2)*(3*f + 1 - 3*f + 2*f)*(0*f - 2*f + f) to g*f**4 + c*f**2 + j + s*f + r*f**3 and give r.\nAnswer: 5135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -292*r = -93*r - 597 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 4)*(-17054 - 1248*i + 17054) + 5*i - 2*i - 2*i.\nAnswer: -1247*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1780454 by 75.\nAnswer: 1780454\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 52\/3937317 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -15, 0.3, -12, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2095039049 a multiple of 3617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 0 + 8 + 158 + -424 + 394.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 9*d**2 - 8*d + 3. Let g be a(-8). Suppose -j + 276 = g*j. Calculate the highest common factor of 46 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19036.11 + -19117. Let d = 80 + u. Let l = -0.79 - d. Is -0.06 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 1. Let v(c) = -3*c - 2. Let i(a) = -6*u(a) - 2*v(a). What are the prime factors of i(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 + 12*v + 4. Let z(j) = -j + j + 3 + 7*j + j**2 + 4*j. Let n(h) = -4*g(h) + 5*z(h). Let u be n(-6). Which is greater: u or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-4\/3)\/l*l**(2\/9))\/(l**1*l)**46)\/((l*l*l**(-2\/9)\/l*l)**(-13\/4)*(l*l\/(l*l**(1\/4))*l)\/((l*l*l\/l**(2\/5))\/l)) assuming l is positive.\nAnswer: l**(-5309\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3667.9 + -3668. Let j be 3\/8*2\/(-3). Are j and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12144040 (base 6) to base 3.\nAnswer: 201122222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 7657 = -4*x, 3*x = -5*a + 2*x + 12756. Let h = 15163\/6 - a. Find the common denominator of h and 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of -d**6\/3 + 138*d**5\/5 - 539*d**3\/3 - 502. What is the third derivative of v(g) wrt g?\nAnswer: -120*g**2 + 3312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 7*z**2 - 11*z - 122. What is t(-7)?\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -8*d**3 + 2*d**2 + d. Let u be j(-1). Solve w - u + 5 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7546 and 172777.\nAnswer: 118525022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 54 - ((-6)\/33 + (-93)\/33). Let v = o - 20. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70159*o - 70094*o + 1551 = -334 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4305714*v - 2152869*v - 2152866*v.\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 185 + 4049*z - 2022*z + 210 - 2024*z. Let l(j) = -j. Calculate l(x(c)).\nAnswer: -3*c - 395","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pqtytkqa. Give prob of sequence qpky.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 8*z. Let x be r(3). Let b(i) = -11*i - 163. Let n be b(x). Let u = -20 - -61\/3. Put n, -1, u, 0 in descending order.\nAnswer: n, u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -19*o. Let q(f) = -2*f + 3. Let u(n) = -49*n + 84. Let m(y) = -252*q(y) + 9*u(y). Give m(i(k)).\nAnswer: -1197*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -13\/70, 0.3, -12\/85, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 10, -17*u = -20*u - 3*v. Suppose 3 = -u*x + 58. Let w(y) = y**2 - 12*y + 11. What is w(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 12:07 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 560 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1\/7 - -11\/28. Let i = 7\/12 - 5\/12. What is the closest to 1 in i, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*c + 2*c - 7*c + (-3*c - 1 + 1)*(5 - 2 - 5).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7438 is divided by 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 - 13. Let b = -5 + u. Is b not equal to 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*v + 8 - 8 + 0 + 0 + v - 2*v - 1 + 1 - v - v + v + v + 2*v - 2*v + (3 + 2 - 4)*(-2 - 2*v + 2) + 3*v + 0*v - 5*v + 6*v + 7*v + 3 - 9*v.\nAnswer: 8*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -15608*w + 15582*w + 3*a, -w = -4*a + 140 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/5242215 and 91\/366001920.\nAnswer: 4026021120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 1, -5, -106 in ascending order.\nAnswer: -106, -5, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3 = -l. Let y(g) = -50*g**3 - g**2 - g - 1. Is y(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-3)*x**(1\/10)\/x)\/(x*(x\/((x\/(x*x*(x*x\/(x**(-1)*x))\/x))\/x*x))\/x)**(-2\/97)*((x\/x**(-1\/5))**(-10\/9))**43 assuming x is positive.\nAnswer: x**(-157639\/2910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + -12 - 35 - -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74*40\/(-144) - 8988\/(-5778).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 9 - 7. Suppose 0 + y = -2*j. Let g be -113*3\/(-12)*j. What is g rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k**2 - k**4 - 22*k**2 - 30*k + 3*k**2 + 10*k**3 + 0*k**2 = 0 for k.\nAnswer: -1, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, -3, 5, -3\/5 in ascending order.\nAnswer: -3, -3\/5, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 6*i = -20, 5*s + i = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -148a2 (base 11) to base 14\nAnswer: -7953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of -10*w**3\/3 - w**2 + 2*w + 628. Give d(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9\/2  (b) -934  (c) 4  (d) -1  (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 + 0.2. Let t = 0.2 + w. Let k = -8 + 5. What is the second smallest value in t, 2\/3, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -4 - 7*j + 0 + 14*j + 2*j**4. Find the first derivative of g(d) wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -430*a - 90446 = 1776*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -877 less than or equal to -877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 - 10. Suppose -3*z + 22 = -j*z. What is the least common multiple of z and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/41 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - 358)*(-19)\/19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92993766 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41 + 2*l**2 + 94*l**4 + 40*l**3 - 89 + 46 - 42*l**3 to the form m + r*l**3 + f*l**2 + v*l + c*l**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 365454.\nAnswer: 2, 3, 79, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71374 is divided by 1500.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of -o**6\/30 - 53*o**5\/15 - 225*o**4\/2 + 486*o**3 + 157*o**2. Factor s(t).\nAnswer: -4*(t - 1)*(t + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 2*u**2 + 2*u - 16. Let w = 495 + -498. Determine i(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3637166312?\nAnswer: 2, 13, 29, 811, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2166*o**3\/7 + 19412224*o**2\/7 - 30646830*o\/7 + 12096900\/7 = 0.\nAnswer: 15\/19, 26882\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8782011 days in minutes?\nAnswer: 1264.609584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -53201\/961641 + -26\/1811. Calculate the common denominator of -43\/180 and g.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*c**2 + 2 + 9*c**2 - 4*c**3 + 1 + (5*c**2 + 0 + 0)*(2 - 2*c - 2) as o + i*c + d*c**3 + u*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 + -111)\/(-3)*1. Suppose v + t = 5*v - y, 3*v - 27 = -2*t. Let p = 13 + 13. Calculate the remainder when p is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, z: 3}. Give prob of picking 1 a and 2 z.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1171135961 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 593232705 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -153339, -153088, -152413, -151104, -148951, -145744, -141273?\nAnswer: -135328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1894036 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 702*v + 151 = 707*v + 4*f, 0 = 5*v + 10*f - 415 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 26928 and 3499008.\nAnswer: 115467264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4\/7)*k**(-1\/6)*(k*k*k**(-4\/3)*k)\/k*k*k\/k**(-5\/3))**(-3\/11) assuming k is positive.\nAnswer: k**(-151\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((1 - 1) + 0)\/1. Let f(u) = -u**2 + 7*u + 14. Let v be 6 - (3\/(-1) + 3). Let n be f(v). Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 3*q = 0, 0 = -5*x - 23*q + 20*q - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -24 + 35 - (9 - 3 - 22)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 361, 363, 365, 367?\n\"Answer: 2*y + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 104547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*n + 10*n - 7*n - 27, 0 = 4*h - 7*h + 24*n - 51 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1784 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from ovvvovvvvvoovoovvvo.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + z = 2, 2*l - 3*z + 68 = 52 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*i - 9*i - 23*i + 2*i**2 - 21.\nAnswer: 2*i**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2205715093 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -36*i - 21. Let n(f) = 7*f + 4. Determine -21*n(v) - 4*z(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.08 in 11, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 3*g**2 + 2*g - 5. Let u be c(-4). Suppose u - 15 = -2*p. Suppose 227 = p*f + 41. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/5229 and 61\/114.\nAnswer: 198702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -10  (b) 24  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g**2\/17 + 86*g\/17 + 180\/17 = 0.\nAnswer: -5, -18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, w: 3, y: 1, h: 3}. What is prob of picking 1 w and 1 h?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 370 and 703?\nAnswer: 7030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 806*j**3 - 1 - 269*j**3 - 77*j**2 - 263*j**3 - 272*j**3 + 2*j as d*j**2 + s + i*j**3 + m*j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7598, 15195, 22794, 30395, 37998, 45603, 53210?\nAnswer: 60819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.91 - -0.09. What is the smallest value in -3\/2, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 647838 and 3455136?\nAnswer: 10365408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) 7\/5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19935 + 19941.1. Put 0.4, 1, a in ascending order.\nAnswer: 0.4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 1120 = -5*c, 4*y - 481 = -2*c - 57. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 365537\nAnswer: -3\/365537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -51651, 0, -4, -3 in increasing order.\nAnswer: -51651, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that d**4\/2 + 757*d**3\/2 + 75741*d**2 + 1391166*d - 51840972 = 0.\nAnswer: -366, -43, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5*((-768)\/(-90))\/32)\/((-16)\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -8*l**3 - 5*l - 3. Let c(g) be the first derivative of 0*g**3 - 2*g**2 - 2*g - 7\/4*g**4 + 13. What is -4*b(w) + 5*c(w)?\nAnswer: -3*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*s + s + 10*s - 16.\nAnswer: -s - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/21 + 15644408*b\/21 + 30593437708808\/21.\nAnswer: 2*(b + 3911102)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-1 - -4 - (-9 + 10)). Let q = 6\/41 + 4\/533. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p*(p\/(p\/(p\/(p*p**(3\/7)*p))))\/p*p)*p**(6\/5)*p\/p**(-10)*p\/(p*p**(-1\/5)) assuming p is positive.\nAnswer: p**(484\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-555)\/(-370)*50\/1.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g = 4*g + 60. Calculate the least common multiple of 14 and (-8)\/20 + 224\/g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6217479 is divided by 652?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 53 = 17*j - 61, 2*j - 37*n - 329 - 415 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3 - 0.2. Suppose f = 4*p + 6, -3 = -3*f + 2*p + 15. Let c be (4 - (f - -4))*(-1)\/(-11). Which is bigger: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 5*z + 54. Let a(h) = -h - 11. Suppose -973*t + 962*t + 22 = 0. Calculate t*w(v) + 11*a(v).\nAnswer: -v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-31 - -7) + -2 + 10 - (3 + -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*v + 91*v - 10*v + 4*v - 40*v.\nAnswer: 38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 175*x**4 - 4363 + 4363 + 9*x**4 + x**3 - x**3 + (1 + 1 - 3)*(2 - 2 + x**4).\nAnswer: 183*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*h + 2*h + 4 - 5.\nAnswer: -5*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1553875 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -12041498 rounded to the nearest ten thousand?\nAnswer: -12040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {s: 1, n: 2, q: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + i + 4*i)*(53*i**3 + 168*i**2 + 159*i**2 - 323*i**2).\nAnswer: 371*i**4 + 28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**2\/7 + 2236*g\/7 + 9500038\/7 = 0.\nAnswer: -1691, 2809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 38587*p - 78551 wrt p.\nAnswer: 38587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m**2 + 5. Let g(i) be the third derivative of i**4\/12 + i**3 + 8*i**2. Let b(h) = -h**2 + h. Let k(v) = -2*b(v) + g(v). Calculate -6*d(u) + 5*k(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5.450619 hours?\nAnswer: 327.03714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -32589\/22 - -1481. Calculate the common denominator of x and 45\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 478213.6 millimeters?\nAnswer: 0.4782136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p. Let x(l) = 3*l - 2. Let b(h) = 4*o(h) - x(h). Let g(n) = -15 - n - 5*n + 4. Let q be (-10)\/4 - -3 - 134\/4. Determine q*b(k) - 6*g(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 841*q - 885 = 826*q. What is the remainder when 347 is divided by q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**3 + 26*l**2 + 93*l + 59. Give f(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -128525.785 rounded to the nearest 10?\nAnswer: -128530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 5*i + 25, i - 239340 + 239328 = 4*h for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27789 and 8007?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of 9*u**7\/70 + u**4\/6 + 7*u**2. What is the second derivative of t(z) wrt z?\nAnswer: 324*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31.66396 litres?\nAnswer: 31663.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -156*j - 71 + 136 - 64 as u + t*j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.0385*-12\nAnswer: 0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3362 + -33649\/10. Let t be -21 + 4\/(-2) + 2. Calculate the common denominator of (2*-1)\/((-154)\/t) and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17103520, 17103503, 17103488, 17103475, 17103464, 17103455, 17103448?\nAnswer: 17103443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -9.6. Let t = -1.1 - p. Let h = 0.1 - t. What is the second biggest value in 2\/3, h, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27 and 126?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -28525 divided by 248?\nAnswer: -28525\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-74571)\/(-3551)*(-13)\/(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 6*i**2 - 3)*(3*i**2 - 2*i**2 + i**2) + (2 - 1 - 3)*(-i**2 - 2*i**4 + i**2) to the form m + c*i**4 + g*i**3 + w*i + t*i**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 27*v + 21588 = 25*v, -v + 43191 = 4*m. Let r = m - 1486. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10133 (base 4) to base 16.\nAnswer: -11f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x + 30. Calculate the remainder when 40 is divided by a(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 14*l**2 + 5*l + 4. Give j(-2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(15\/(-58)))\/((2\/41)\/(141\/1927))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8179.\nAnswer: 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/462 and -79\/146916?\nAnswer: 146916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 3*d - 2*d - 3*d)*(-7 + 21 + 5)*(3 - 2 - 3) as z + w*d and give w.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k - 22 = 3 - 11, k - 44 = -3*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83588586.\nAnswer: 2, 3, 31, 41, 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 126 and 11052?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (251 - 71)*((-8)\/(-10))\/(-1). Let m = -97 - z. Which is the third smallest value?  (a) 1\/6  (b) 0.4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -426?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/7, -7, 4, -5577?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 - s - 2. Let c be v(4). Suppose -5*r = -5*a - 15, c = r + r. Let p(o) = 3*o**2 - 2. What is p(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12411 less than 12349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = -d + 5*d. Let v be (10 - (-492)\/(-48))\/(1\/(-20)). Solve 2*g + 13 = -2*j + 5, 0 = v*j - g + d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37449 divided by 1387\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 307?\nAnswer: -92.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k - 4. Let i be x(5). Does 6 divide (23\/7 + -3)\/(i\/2814)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*0\/(-9*(-4)\/12). Suppose z = 5*s + 3*y - 3112, -2*s + 3*y + 334 + 894 = 0. Find the common denominator of -13\/24 and s\/30 + (-2)\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 2 = v, -2*y - 3*v + 5 - 3 = 0. Solve y = -2*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -4. Let p(w) = -w**3 - 6*w**2 - w + 3. Let j be p(d). Let h = 42 + j. What is the greatest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lplb when four letters picked without replacement from bjlpjllbbu.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 71 + -70.9. Sort p, -0.11, 1\/5, 0.5 in ascending order.\nAnswer: -0.11, p, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 6*r + 1 + r**3 + 3*r**2 - 3*r - 2. What is p(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 - 7*r - 21. Let p be v(9). Suppose -36 = -4*n + 3*b, -5*n + 13 = 5*b + 3. What are the prime factors of (n\/(-15))\/(p*2\/870)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 882 a factor of 369955779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -811*n - 89. Is q(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 821921, 0?\nAnswer: 821921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -58596 divided by -14649?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of 3\/5*g**5 - 1\/3*g**3 - 1 + 0*g**2 + 0*g + 0*g**4. What is the third derivative of r(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*n**2 - 404*n + 493 = 0. Calculate n.\nAnswer: -493\/89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u**2 - 30*u - 14. Give m(-11).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 (base 10) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -83 divided by 3.\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 5*m**5 - 267*m**4 + 836*m**3 + 708*m**2 - 400*m = 0.\nAnswer: -1, 0, 2\/5, 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -6*u**3 - 6*u**2 - 34*u - 8. Let w(h) = 4*h**3 + 6*h**2 + 33*h + 7. Let o(r) = 6*p(r) + 7*w(r). What is the second derivative of o(j) wrt j?\nAnswer: -48*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + x - 8. Let m(z) = 3*z**2 - 3*z + 15. What is -7*d(c) - 3*m(c)?\nAnswer: -2*c**2 + 2*c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 14*l + 17*l = 1205 - 785 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2 + 824198*x - 824200.\nAnswer: 2*(x - 1)*(x + 412100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*o = 85*o - 17993. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 8*k**5 - 6*k**2 - k - 1. Let d(f) = f + 1. Let q be ((-2)\/3*3)\/(-2). Let h(v) = q*y(v) + d(v). Find the third derivative of h(p) wrt p.\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 - 8*o**2 + 8*o - 1. Let m be n(8). What is the greatest common divisor of m and 504?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83734402519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12222729 and 6465.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - y**2 - 3*y + 4. Let h be g(2). Suppose 3*b + b - a = -147998, h*a = -3*b - 111004. Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-180)\/108)\/(35\/(-588))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.8 times -5632\nAnswer: 4505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + -2 - 49609\/(-6930). Let m = 7\/110 + d. Find the common denominator of 27\/10 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 174462.\nAnswer: 2, 3, 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -26*(2 + -2 + 1). Let n = t + 53. What is the greatest common factor of 18 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1188\/3*(44\/1188*-1371 + 51)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4429.72 + -1661\nAnswer: 2768.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 - 8*m - 7. Let z be i(-6). Let g be ((-2)\/(-4))\/(z\/8). Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 804 and 29794029?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -15\/134 at least as big as 11752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -262, -259, -244, -211, -154, -67, 56, 221?\n\"Answer: h**3 - 4*h - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/(-20))\/(2\/(-8)). Let q be (-99)\/(-189) + -3*2\/(-42). What is the closest to 0.1 in q, f, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 261602033.\nAnswer: 7, 11, 485347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 14*k**2 + 17*k - 22. Suppose 16*s = 12*s + 60. Calculate the lowest common multiple of 9 and h(s).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5685973 is divided by 1895240?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -6*b**2 + 4*b + 2. Let o(j) = j - 2. Let q be o(5). Let f(m) = -10 - 8 - 2*m**2 + m + 19. Let s(i) = q*n(i) - 10*f(i). Factor s(h).\nAnswer: 2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -9 + 8\/(16\/10). Let p be 10\/b*-2 + -5. Solve 10 = -p*q + 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of 3*k**6\/10 - 11*k**4\/12 + 47*k. Find the third derivative of x(l) wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -36 + 39. Let f be l - (1 + -1)\/5. Differentiate -4*m**3 - 5*m**3 + 4*m**f + 5 wrt m.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of 5\/4*x**4 + 1\/20*x**6 + 6*x**2 + 0*x**5 + 0*x + x**3 + 0. Let u(m) = m. Let q(l) = -k(l) + 30*u(l). Differentiate q(i) wrt i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/9)\/((-2)\/12). Suppose -r = -c*r + 9. Solve 0 = 4*o - 4*n + r*n + 14, 4*n = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 706554 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -8. Let v = 10 + y. Suppose -4*a + 4 = r + a, -v*a - 14 = -r. Calculate the least common multiple of 11 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 144, -17750, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -131 bigger than 783\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185 = 28*i + 213 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 7 - 9. Let x(c) = c**3 - c - 2*c**2 - 3*c - 2 + 2*c. Calculate the remainder when x(3) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2304 and 22?\nAnswer: 25344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -1  (b) 1.1  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 3*v - 12 = 0, v = 4*o - 2*v + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of -c**2\/2 + 4*c - 196. Calculate g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29.11 - -29. Let h = 1.11 + i. What is the smallest value in h, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2260\/75 + (1\/(-6))\/(660\/528). Let n = 2 + -3. Let h(v) = -5*v. Let g be h(n). Calculate the highest common factor of g and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/6 + (-55)\/(-30). Suppose 0 = 2*x - x + 3*j - 14, -c*x - 2*j = -20. What is the remainder when 14 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -4*n**2 - 8*n. Let a(v) = -5*v**2 - 9*v. What is -2*a(c) + 3*t(c)?\nAnswer: -2*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(1715))\/(sqrt(252)\/sqrt(4)))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = -3*n + 40, -p - 292 = -2*n - 287 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 - 0.133889?\nAnswer: 138.866111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 11, -5, -25, -49, -77, -109?\n\"Answer: -2*z**2 - 10*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ntnttnttntntn. Give prob of picking 2 n.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*p + 79*p = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18308 (base 10) in base 8?\nAnswer: 43604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6139, -12240, -18305, -24334?\n\"Answer: 18*k**2 - 6155*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 70*f**3 - 4*f**2 - 25*f - 3. Let i(z) = 70*z**3 - 4*z**2 - 25*z - 4. Let u(o) = 6*i(o) - 7*n(o). Is u(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 103312213 - 20?\nAnswer: 103312133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (6\/2)\/((-1)\/((-8)\/(-132)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1184, 2855, 5064, 7811, 11096?\n\"Answer: 269*z**2 + 864*z + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-136))\/((-245)\/5880). Suppose 0*y - 4*y = 0. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.6, -2\/41, -2\/9, -2\/125, -85, 3?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304)*1 - sqrt(304))*6 - -5*(2*sqrt(304))**2 - ((2*sqrt(76)\/sqrt(4))**2 + sqrt(95)\/sqrt(5) + sqrt(19) + 4).\nAnswer: -2*sqrt(19) + 6000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - 9*y**2 + 8*y + 4. Let t be n(8). Suppose -2*z - 17 = -t*s + s, -12 = -2*s + z. Are 1\/2 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/447 and -67\/30.\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from chxxehchhhh. What is prob of sequence xhex?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 543.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + t + 49 = -0*g, 17 = g - 2*t. Let c = 13 - g. Suppose -4 - c = -2*k. Calculate the remainder when 15 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1008) + 6*(sqrt(1008) - (sqrt(1008) - sqrt(1008)*2)))**2 + 2)*3.\nAnswer: 511062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 3*u - 21 = 0, 10*d - 2349 = -4*d - 2*u + 3*u - 2303 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -191321*c + 191321*c + 193*c**2 - 194*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4671 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**3*x*y**3 - 3*l**3*x*y + 3*l**3*y + 99*l**2*x*y**3 + 13*y wrt y?\nAnswer: -6*l**3*x*y + 594*l**2*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-14))\/(3957\/747873)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*a - 103 + 101 - 68*a + a.\nAnswer: -91*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**2 + 1024*v + 6095. What is t(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1601365, 1601377, 1601389?\nAnswer: 1601401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-14)*(-6398)\/(-4113)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 814124 to the power of 1\/2, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 89798791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1819 + 3100688.36.\nAnswer: 3100688.1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 285 times 18980\nAnswer: 5409300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 4)*(-4*k + k + 4*k) - 2*k + 2 - k + 6.\nAnswer: 2*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 37612?  (a) 18  (b) -0.2  (c) -3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27555548?\nAnswer: 2, 19, 53, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -190050 divided by -15.\nAnswer: 12670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of s**6 + 1616*s**5 - 8015*s**2 + 4.\nAnswer: 120*s**3 + 96960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 + 4*v + 7. Let a be p(-2). Let g be 15 + -15 + (-19)\/a. What is the nearest to g in 1, 5, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 533*i**3 + 549*i**3 - 64*i**2 - 1064*i**3 - 8 + 1257*i + 8 wrt i.\nAnswer: 108*i - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*l = -95*l - 46*l + 1533 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 71\/16 + -545\/112. Let k = 9 + -9.1. What is the nearest to k in o, -0.09, 0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 1  (c) -27  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3721*u + 148855. What is b(-40)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 6, 5, -0.17, 4?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(320) + sqrt(320) + -2)**2 + -1 - ((sqrt(40) + (3*sqrt(40) - sqrt(40)) + sqrt(40))*5)\/(sqrt(80)\/(sqrt(10)*-2)).\nAnswer: -24*sqrt(5) + 1285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 + 43*x - 13. Let f(v) = 11*v - 3. Determine 9*f(r) - 2*l(r).\nAnswer: 2*r**2 + 13*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 8 - 6 = 0. Suppose 30*n + o = 29*n. Let d(b) = -3*b**3 - b**2 - 2*b. Let r be d(n). Sort 2, -38, r in descending order.\nAnswer: r, 2, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -u**2 - 869*u + 39216 = 0.\nAnswer: -912, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -29, -57, -103, -167, -249, -349, -467?\n\"Answer: -9*s**2 - s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 522600*b**3*m + 58*b**2*m + 26*m + 2127648 wrt b?\nAnswer: 1567800*b**2*m + 116*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 451350218 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y*y\/(y**(2\/11)*y))\/y*y\/y**6)\/(y\/(((y\/y**(-2\/3))\/y)\/y))**14*((y*y**1)**(-8))**(5\/3) assuming y is positive.\nAnswer: y**(-1634\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from obossossssbssssssb. What is prob of sequence obo?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 479788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262915565 is divided by 12248?\nAnswer: 12245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 338*y + y**2 + 31*y + 444*y + 3*y**2 - y**2 to the form v*y + g*y**2 + i and give v.\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 4*u + 40. Let x(y) = 2*y + 16. Let i(w) = 2*v(w) - 5*x(w). Let j(f) = 588*f. Calculate j(i(p)).\nAnswer: -1176*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 0 + (33 - 1) + (-28 - (-41 + 17))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15*x**2 + 3*x**4 + 15*x**2 + 0*x**4 + 2*x**4 + x**4 + (15*x + 6*x**2 - 15*x)*(x**2 - x**2 - 3*x**2).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-5 + ((sqrt(77) - sqrt(77)*-2)*-3 + 3*1*sqrt(77))\/(6*sqrt(70)\/(sqrt(10)*-2)))*4)**2.\nAnswer: -2880*sqrt(11) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of b**4\/4 - 8*b**3\/3 + 8*b - 76. Give n(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1146 - -1242. What is the highest common factor of 48 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4\/3 - 11872*q**3 + 23743*q**2 - 35614*q\/3.\nAnswer: q*(q - 35614)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2. Let n(r) = -r**2 + 6*r + 6. Let b(m) = 3*m**2 - 11*m - 11. Let u(t) = 6*b(t) + 11*n(t). Calculate l(u(p)).\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3988707389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -190 - 2*b + 100*b**3 + 190 in the form m*b**3 + l*b + o + i*b**2 and give m.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 768.9 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13 - 20 + 4)*(2 + 3*u - 2)*(-2*u + 2*u + 2*u**2) + (2*u - 3*u - 3*u)*(u**2 + 6*u**2 + 3*u**2) to the form h + y*u + t*u**3 + b*u**2 and give t.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20368896521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fel when three letters picked without replacement from {o: 1, f: 1, l: 1, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 48502269785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1112)\/417 + 76\/(-3). Which is smaller: -731\/25 or y?\nAnswer: -731\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 > 195675.9174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -51413\/4 + 12852. What is the closest to t in -4, 2, 1, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 4*h - 18998, -2*m + 4*h = 9*h - 19001. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 195*i - 35*i - 1860480. Does 38 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 97342 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 26*v - 26. Suppose -4 = r, r - 2*r - 13 = -b. Let i(c) = -b*c - 5 + 4*c + 10. Let z(q) = 16*i(q) + 3*k(q). Find the first derivative of z(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-4*(sqrt(297) + sqrt(33) + sqrt(33)))\/(sqrt(36)\/sqrt(3)) + 1)**2.\nAnswer: -80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 944 is divided by 161.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 9:00 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 649247 and 150773?\nAnswer: 3077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.74, 0.3, 5 in increasing order.\nAnswer: -3.74, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, h: 5, s: 1}. Give prob of sequence hs.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (132\/(-55))\/((-134)\/(-335))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 5 + ((-6*(0 + sqrt(7) + -3))**2 - (-2 + -3 + -3 + sqrt(7))).\nAnswer: -217*sqrt(7) + 590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1560 is divided by 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence food when four letters picked without replacement from wdwoffwoofwkwf?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 66, -5\/4, 0.088432, 4, -1 in decreasing order.\nAnswer: 66, 4, 0.088432, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t + 9 + 15 + 0 - 3. Give v(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40 (base 15) to base 2\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 11, 8, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -112.3129 rounded to one dp?\nAnswer: -112.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1658 - 1068. Let w = h + -587.725. Round w to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 497775 and 15225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34911536?\nAnswer: 2, 11, 293, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-11377)\/(-2569) - (-20)\/(-14). Solve 5*l = -n*a - 0*a + 18, -8 = -3*l + a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) -1\/4  (c) 0.1289\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 540408857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*x = -2*x + 9160. Suppose -29*u = -x - 122. Solve 12 - 4 = -r - 3*j, 5*j + u = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 785 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 value of 7\/(42\/135)*((-15004)\/880 - -17)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 + 30*k - 1302. Calculate r(-54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/2 - (-2)\/(-17). What is the second biggest value in j, 1, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57, 126, 195, 264, 333?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-36)\/(-6)*(2\/(-3))\/2. Let a be 6\/(-2) - (16\/(-3) - u). Sort -1, a, -2, 3 in increasing order.\nAnswer: -2, -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of 23*o**3\/3 - 11*o**2 - 15. What is the second derivative of r(t) wrt t?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 423.309 and -0.11?\nAnswer: -46.56399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 808\/(-4)*(-5 + 6 + -2). Suppose -199*g - 18 = -y*g. Solve 6*i = -g - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u, -6*r + 3*u = -9*r + 214899. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/34, 290, -0.39?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 51585 and 380.\nAnswer: 206340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 7) + (11 - (-6 - (-744)\/56))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -5*w - 26, 4*w + 2*k = -27 + 5. Let n be (-48)\/32 - (-443)\/w. Which is bigger: -76 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*w - 145*w + 110*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 335415*d**2. Let s(k) = -k. What is s(v(q))?\nAnswer: -335415*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -138, -150, -162, -168, -162, -138, -90, -12?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 504472892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1109 and -0.8.\nAnswer: -0.9109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 12*v - 9. Let p be k(-13). Suppose 62 = p*t - 114. Let b = t + -30. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 15. Let b be y*-1 + 145615\/53950. Let m = b - -1\/1079. Calculate the common denominator of -1\/18 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2115*y**5 - 3088*y wrt y.\nAnswer: 42300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 9, 3, 4 in descending order.\nAnswer: 9, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/3 and ((-1)\/(-3))\/((-110)\/1221).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 349641.\nAnswer: 3, 53, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(1*(-6 - -5)) - 7. Solve k = -3*q + 3*i, 33 = q + 5*i + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-201)\/(-18) + -1 + -2 - 1. Suppose -134 = -14*r + 972. Let u = 87 - r. Are u and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2093*r**2. Let l(j) = -5*j. Give l(v(f)).\nAnswer: 10465*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-10)\/30)\/(1\/(-36)). Suppose a = -2*a + m. Differentiate -1 - 5 - 12*q**4 - a + 11 with respect to q.\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 5*y**2 + y. Suppose 0 = 2*z + 3 - 5. Let b be 0*(-3)\/3*z. Suppose -4*d + 0*g = -g + 21, b = 2*d - 2*g + 12. What is k(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/27)\/((-7)\/(-3))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cz when two letters picked without replacement from zzzzzzzcczzzzzcczcz?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47, 50, 55, 62?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 4*w - 17. Let p be v(8). Suppose -5*l + p = q, -4*l + 7 + 5 = -2*q. What is the remainder when 6 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7 + -3 - (1 + 0). Let u(k) = -k. Let o(c) = c**2 + 3. Let z(w) = -o(w) - 3*u(w). Determine z(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29888199303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2974801987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 2*l = 13, -d - 2*l - 12 + 7 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 8\/5, 280, -0.5, 15, 44 in decreasing order.\nAnswer: 280, 44, 15, 8\/5, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/22 and -59\/2156?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l**2 - 4 - 8 + 10*l**2 - 2*l + 0*l**2 - 7*l**2 in the form y*l + h + d*l**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 16*n**3 - 14*n**2 + 8*n + 2. Let r(i) = 13*i**3 - 12*i**2 + 7*i + 1. Let y(f) = -5*r(f) + 4*s(f). What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 684 + 220. Let y be -24*(-1)\/7*(-10 + 17). Suppose 4*f = -2*l + 12, 2*l - f = f + y. What is the smallest common multiple of t and l?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b**3 + 6*b - 8*b**3 + 3*b**3)*(1 + b - 1)*(1 + 0 - 3).\nAnswer: 4*b**4 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 174358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7518063um in millimeters?\nAnswer: 0.0007518063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -x**3 + 2 - 1 - x**3 - x as v*x**2 + g*x + q + d*x**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -382378*c - 322423?\nAnswer: -382378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-4*(-3)\/16). Let i(v) = -1465 + 1465 - h*v**2. Let d(g) = 9*g. Give d(i(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 5*q**2 - 2*q + 3. Let i = 179 + -177. Let p(s) be the first derivative of s**4\/4 - 4*s**3\/3 + s**2\/2 - 2*s + 40. Calculate i*l(g) + 3*p(g).\nAnswer: g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1063194 + 4252797\/4. Factor o*h + 1\/4*h**4 + 15\/4*h**3 + 61\/4*h**2 - 49\/2.\nAnswer: (h - 1)*(h + 2)*(h + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715390 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 16*r = 0. Suppose r = 5*h + 5*j - 15 - 5, 2*h = -j + 7. Solve 2*c + h*f = c - 7, 3*c - f = 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -55, -117, -213, -349, -531, -765?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8a40f1 (base 16) in base 15?\nAnswer: -bde948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 813495123 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (-3 - (-4 + 3) - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 197163 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.794 take away 5?\nAnswer: -28.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1834, -13316, -44394, -104866, -204530, -353184?\n\"Answer: -1633*y**3 - 51*y - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18741\/598 or 32?\nAnswer: 18741\/598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 6*x. Let z be 0*(1 - 0 - x). Suppose -8*j = -4*j, 3*a - j = 15. Solve -y + 2*f = a, -2*f = -z*y - 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/9)\/l**12)\/((l**(-1\/11)\/l)\/(l*l**(3\/7)*l)) assuming l is positive.\nAnswer: l**(-6031\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w**4 - w**4 - w**4 + (1 - w - 3 - w)*(5*w - w - 2*w)*(-w + 0*w - w)*(4*w - 4*w - 2*w).\nAnswer: -22*w**4 - 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 436194 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 0. Suppose s = 3*x - 4*x + 4. Suppose 2*p + 19 = 6*p - 3*d, 0 = -p + 5*d + 9. Solve 4*v + 3*k + 15 = 6*k, 0 = x*k - p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*c**2 + 3*c**3 + 10*c**2 + (-3 + 3 - c)*(23 - 23 - 169*c)*(-95 + 95 - 15*c) to v*c**2 + a + u*c**3 + d*c and give u.\nAnswer: -2532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8804 - -8807. What is the greatest common divisor of k and 1479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from sbyasbnza?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 742.\nAnswer: 1\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 6042206, 6042231, 6042256, 6042281, 6042306, 6042331?\n\"Answer: 25*m + 6042181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -56929.22 rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -w, -v - 2*w - 2*w + 221 = 0. Suppose -245*g + v*g = 0. Solve -2\/3*j**2 + 10\/3*j + g = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h - 9. Suppose 3*r - 9 = -3*v, v + 49 = 4*v - 5*r. Let g be 453\/(-27) + v\/(-36). Let m = 13 + g. What is i(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -19. Let w be 2\/((-1)\/(-10)*h). Solve -k = 3*m - 13, 3*m = -2*m - w*k + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66, 111, 168, 243, 342, 471, 636?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -3414237.\nAnswer: -2\/3414237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44733905, 44733900, 44733895, 44733890?\nAnswer: 44733885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*t + 2*t + 4*t - 1527.\nAnswer: -t - 1527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p - 2*p + 6*p + (-5*p + 4*p - p)*(-3 + 4 - 3) + 4*p + 1 - 1)*(-1 + 5 - 2).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - -13) + (1 - 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 290 - 223. Calculate the remainder when u is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 30 + 89*s + 10 + 11*s + 9 - 125*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 397 a factor of 2328322027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a millennium in years?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 600837.5ml?\nAnswer: 600.8375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.6 + -144427416.\nAnswer: -144427416.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 1 = 3. Sort 3, -3, -2, m in ascending order.\nAnswer: -3, -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -30*c**2. Let n(q) = 41*q. Calculate f(n(x)).\nAnswer: -50430*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3*l**2. Let o(x) = 11*x**2 + 12*x**2 - 16*x**2. Give b(o(t)).\nAnswer: -147*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21.954 - 0.046. Let b = g - -17.4. Let y = 0.4 - b. Which is greater: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 5*v**2 - 6*v + 1. Let o be d(-6). Let i be 7 - 1 - (o + 1). Suppose i*b - 9*b = -415. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 16*z**2 - 5*z + 169. Calculate u(17).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -132*p*w**3 - 2*p*w + 15*w**2 - 2 wrt w.\nAnswer: -792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6, x: 1, k: 2, u: 7, v: 1}. What is prob of sequence uvkk?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2810 is divided by 1392.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 446372, 446627, 446882?\nAnswer: 447137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {n: 7, j: 2, t: 4, q: 2, i: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6429715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 480 and 660?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(3) + sqrt(108)\/sqrt(4)))\/(sqrt(10) - sqrt(40)*2 - (sqrt(10) + (-1*sqrt(160) - sqrt(10))))*3.\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -20121112120111 (base 3) to base 6\nAnswer: -203153234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - 3165?\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 take away 238?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*g + 340. Suppose 4*t - g = 3*v + 5*t, -4*v - 105 = -t. List the prime factors of (-6)\/v*-6*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 3 = -v. Let a be 1\/8 + 446\/16. Let s = a - 24. Solve -12 = 4*k - v*u - 4, s*u = k - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -13*s**5\/60 + 17*s**4\/24 + 3*s**3\/2 - 40*s**2. Let w(m) = 3*m**2 - 4*m - 2. Determine 2*n(i) + 9*w(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 65014624 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 + 23*f - 47. Let c be h(-25). Suppose d - 68 = -5*o, -5*o = -c*d - o + 280. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26038663 - -26038681.9999915. Let l = w - 19. What is l rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(208) - sqrt(26)\/(sqrt(8)\/sqrt(4)))**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*y = 12*y + 25 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 2 - 24084*z + 2.\nAnswer: -24084*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3945545081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + g - w - 572 = 0, -3*w = -g + 188. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - 5*i**2 - 8*i + 14. Let u be f(6). Let c be 15\/(-60)*4*(-1 + u). Does 16 divide c\/(-3 - -2)*(39 + 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39 divided by 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -12482965, -24965923, -37448887, -49931857, -62414833, -74897815?\n\"Answer: -3*r**2 - 12482949*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of a**6\/120 + a**5\/60 - a**4\/12 + 37*a**2\/2 + 37*a. Let f(n) be the first derivative of t(n). Factor f(p).\nAnswer: p*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -5, -1\/56, -0.2, 5, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dq when two letters picked without replacement from ddqddddqdqdqdqdqddd?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 37760\/(-192)*(-33)\/5*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 511 (base 8) to base 14.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-6\/11))**(2\/9)*(u*(u\/(u*u*(u*u**(2\/7)*u)\/u))\/u*u)**16)**(3\/13) assuming u is positive.\nAnswer: u**(-4780\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25018 is divided by 124?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-3)*(2 + -1). Let q = -1 + d. Let n = 77 - q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 137296*j*l**3 + 2862*l**3 + 28*l wrt j.\nAnswer: 137296*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**3 - 12512*t**2 - 9809360*t - 39037504.\nAnswer: -4*(t + 4)*(t + 1562)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1531 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2781 divided by -75\nAnswer: 927\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 261 by 1.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**2. Let w(z) = 47*z - 3 + 1 - 5 + 1 + 3. What is k(w(t))?\nAnswer: 4418*t**2 - 564*t + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-4 + sqrt(1053) + 0 + 2)*-2 + 3.\nAnswer: -18*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -33, 0, -147, -5 in descending order.\nAnswer: 0, -1, -5, -33, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/5 - 193882*f - 2908248\/5.\nAnswer: 2*(f - 484708)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, -61, -264, -579, -1006?\nAnswer: -1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 12*g**3 - 752*g**2 - 250*g - 74. Determine d(63).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*w - 140*w + 2*w to m + y*w and give y.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(1100) + 1)**2.\nAnswer: 120*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 890342 is divided by 203.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 + -14. Let q be (-1)\/(1 + a\/(-5)). Which is smaller: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8676 is divided by 1089?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -6460469 and -6460468 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3985767, -3985769, -3985771, -3985773, -3985775?\nAnswer: -3985777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 7*w + 8 = 0. Suppose w*r = -10, -5*r - 238 = -2*z + 1269. Calculate the common denominator of 27\/2 and (-4)\/6 - z\/144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11508406 to the nearest integer?\nAnswer: 3392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 42?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/18 and 41\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 113 - 235.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 1 - 11. What is the lowest common multiple of 4 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*a**3 - 10*a**3 - 7*a**3 - 6*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that w**2\/5 - 7*w + 30 = 0.\nAnswer: 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in 0.2, -2, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*(-1 + 2 - 1). Suppose 0 = 3*s + 2*h - 43 - 39, -4*h - 16 = j. Let c = s + -20. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 458489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1107*b + 3602*b = 69990 + 31368 - 19023 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + 3*(-3 + sqrt(1100) + -4)).\nAnswer: -60 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -459 + 988. Suppose 525*q - u*q + 20 = 0. Solve -2*z = 3*s - 25, 2*s + 12 = q*z - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -8\/3, 0.2, 0.3, -3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.31017 times 0.076?\nAnswer: 0.55557292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.32285 millimeters to centimeters.\nAnswer: 0.232285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k - 23. Let q be s(-28). Let r = 52 + q. Suppose -r = -u - 4. Are -2 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63 + 212. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41.01 - -41. Let w(a) = a**3 + 3*a**2 - a - 3. Let k be w(-3). Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 0*c = -90. Solve 0 = -4*w + i + 14 + 4, 3*w - 3*i = c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59388 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 698655 divided by 5\nAnswer: 139731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of -l**4\/6 + 11*l**2. Let s(g) be the second derivative of -g**3\/3 - g. Calculate s(b(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -5*o - i, -4*o = -i - 3*i + 4. Let q(u) = -14*u**3 - 11. Let j(m) = -5*m**3 - 4. Determine o*q(a) + 11*j(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u**3 + 16*u - 16*u + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 114531, 229049, 343559, 458061, 572555, 687041?\n\"Answer: -4*m**2 + 114530*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + ((-28)\/11)\/(-2). Let n = 67\/77 + h. Let z = -78\/25 + 496\/175. Which is the nearest to z?  (a) -1\/3  (b) n  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 736*u**2 - 736*u**2 + u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ergc when four letters picked without replacement from {g: 3, c: 5, r: 1, e: 3, m: 2, i: 1}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.94 + -1. Let o = 0.94 - r. Which is the second smallest value?  (a) 2\/17  (b) 2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 573008 and 71626?\nAnswer: 573008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 773175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 4*h - 40 = 0, -3*h = 3*f - 25 - 20 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9562a3 (base 12) in base 9?\nAnswer: 4377006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*-3*1*sqrt(7344))\/(((sqrt(240)*4 + sqrt(240) + sqrt(240))\/sqrt(10))\/sqrt(8)*3))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-1 - (-28)\/26). Let h be 84\/16 + 1\/(-4). What is the third derivative of j**h - 3*j**2 + 13*j**4 - f*j**4 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.31 + -0.69. Which is the closest to -1?  (a) g  (b) -2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.613169 tonnes in nanograms?\nAnswer: 7613169000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3\/5)*m**6)\/(m**3*m**(2\/15)) assuming m is positive.\nAnswer: m**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 103858 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b + 175 = 187 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -50 (base 9) to base 5\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((y*y**(-2))\/y))**(-33))**(8\/3)\/(((y*y*y*(y\/(y**(-3\/2)\/y))\/y)\/(y*y**(-7)))\/(y**7*y**5)) assuming y is positive.\nAnswer: y**(-527\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 298166.93 rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**5 + y**5 + 3*y**5 - 5*y**3 - y**5 + 3*y**3 + 0*y**5 + (-2*y**4 + 2*y - 2*y)*(3*y + 4*y - 5*y) - 7*y**5 - 19*y**5 - 17*y**5.\nAnswer: -45*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -9, -3 in decreasing order.\nAnswer: 12, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14998257?\nAnswer: 3, 555491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 3:39 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 16*u**3 - 835*u**2 + 201*u - 3. Let g(k) = 6*k**3 - 417*k**2 + 101*k - 1. Let s(n) = -2*a(n) + 5*g(n). What is the second derivative of s(x) wrt x?\nAnswer: -12*x - 830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47843 is divided by 443.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*d + 12*d + 184*d - 102*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/14 - (-1)\/(-2)*-3093 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/33254 or 85?\nAnswer: 1\/33254","meta":{"dup_signals":{},"source":"comparison__pair_test"},"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: Convert -13 (base 15) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4590156 is divided by 4306.\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - 6*b**2 - 8*b + 34. Calculate the remainder when l(8) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/(-8)*-8*4\/40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2401*a**3 + 309*a**2 + 3?\nAnswer: -14406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.272 take away -20446193101?\nAnswer: 20446193101.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - -2. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - 3420*m**2 - 268*m**2 - 168*m**2.\nAnswer: -3856*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -b + 6, 0 = 5*d + 9*b - 12*b + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1567807 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(3*(-16)\/336).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -26, -74.7, 1229?\nAnswer: -74.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 2*k - 322 = 2*k, 483 = 3*c - k. Let r = 161 - c. Let l(m) = -m - 2. Give l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + -7 - -5) + 2. Calculate the remainder when 104 is divided by (k - (-1 - 3)) + 48.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71818693 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -10. Suppose 12 = -4*v + 5*c, -196*v + 4*c - 10 = -193*v. Find the third derivative of -3*h**2 - 3*h**6 + 20*h**v + i*h**2 + 0*h**2 wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 1 = -2*j. Suppose j*w - 16 = 2*w. Let f = w + -11. Solve -f*a - 12 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/13, -0.9, 5, 7528\/31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(1 + (-9)\/15). Suppose -6*g + 3*g = -a. Let j(u) = -u**2 + 3*u - 4. What is j(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 + 171*o + 1613. Calculate i(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.0272  (b) -1\/5  (c) -0.1  (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - 16*q + 1. Let m be b(7). Let h = -316\/5 - m. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2263 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7385195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -405 - -645. Suppose -3*o = -4*a - 729, -a - 251 = -2*o + v. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**3 - 15*o**2 - 13*o + 32. Let y be g(11). Let c = 824 - y. What is the highest common divisor of c and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of 0 - 1\/30*o**5 + 1\/9*o**4 - 1\/9*o**3 - 8*o + 0*o**2. Suppose a(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -7*b**3 + 3*b**2 - 2*b + 11. Let s(i) = 10*i**3 - 4*i**2 + 3*i - 16. Let c(o) = -7*f(o) - 5*s(o). Determine c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -80 - -149. Let m = 125 - i. Let v = 55.999969 - m. What is v rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 5) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17133811 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1590699 divided by 177?\nAnswer: 8987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 954 - -4?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + -5))*-3)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 - 9. Let h = -3.9 + w. Let c = 13\/2 + -7. Which is greater: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110011 (base 2) to base 14\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - 0 - 10 - 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -0*g. Suppose g = -0*v - 4*v + 76. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 43*k - 25. Let p(d) = 86*d - 51. Let t(y) = 2*p(y) - 5*s(y). Let f be t(-10). Suppose -f = -7*z + 4*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*w - 58*v - 166, 0 = w - 2*v - 9 + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -10965.43+-0.164\nAnswer: -10965.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (255920\/(-4570))\/((-8)\/(-2)*1\/2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11831 is divided by 5855?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(-2)*(10 + -8). Suppose 4*j - 2 = -5*n, -5*j + 1 = s*n - 4. What is the greatest common divisor of 12 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76*q + 561*q + 1014*q.\nAnswer: 1499*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -13*r**2 - 107*r + 4. Let v(h) = -5*h**2 - 53*h + 2. Calculate -3*i(w) + 7*v(w).\nAnswer: 4*w**2 - 50*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((r\/(r**0\/r))\/r*r))\/(r\/(r\/(r*r*r**6*r*r))))**22\/(((r\/(r**(2\/3)*r))\/r*r)\/r**(-5)*(r*r**(2\/9))\/r**(-5)) assuming r is positive.\nAnswer: r**(-2273\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, o: 4, j: 5}. Give prob of sequence oh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1*0\/((-117)\/(-13))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 486379 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -197 + 220. Suppose 14*j - u*j = -4995. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0418 and 19026237574.\nAnswer: 19026237574.0418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 34*z + 443. Determine c(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -5. Let s = 17 - a. Let q be (12\/1)\/(-2)*-4. Solve -i + 4*i + 2*j + s = 0, -q = 4*i + 3*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142 - p + 159 - 472.\nAnswer: -p - 455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.03 and 147564392092?\nAnswer: 147564392092.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 723 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -29*u - 3. Let a be k(-3). Let n(l) = 4*l**2 - 15*l - 18. Let t be n(6). What is the highest common factor of t and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*3*(-4*3*(4 + 1 + sqrt(112) - sqrt(112)))**2.\nAnswer: -21600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 293264270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -15475\/64?\nAnswer: -15475\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a - 7. Let t(i) be the first derivative of i**2 - 6*i - 3. Give -4*p(u) + 5*t(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 - 74 = 5*b - 2*r, 3*r + 34 = -b. Let a = -6 - b. What is the highest common divisor of 40 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -12, 4, 1070?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15483630 and 1220.\nAnswer: 30967260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 35 = -55. Suppose i = -4*i + 50. Are i and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 - 1 - -2) + 203\/(-49). What is the smallest value in 5, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**4\/3 + 41*c**3\/3 - 133*c**2\/3 - 41*c\/3 + 44 = 0.\nAnswer: -44, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(15\/9 + -2). Let o(d) = -d - d - 3 + w. Let a(n) = 3 - 2*n - 3. Determine o(a(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 247369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 235909759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 3 - x + 5*x)*(0 + 2 - 1)*(-4 - 2 + 5).\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + (-56)\/(-20) + 1455\/25. Let r = p + -66. Let q be r\/2*2\/(-6) + -1. Which is the nearest to 0.1?  (a) -0.4  (b) q  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -328 - -2956\/9. What is the nearest to -0.2 in -2\/7, -1, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 7. Sort 37, f, 5 in descending order.\nAnswer: 37, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = -3*g + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 948893.2 days?\nAnswer: 22773436.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 12\/25 of a millimeter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r - 8. Let l(a) = 2 - 4 - 7 + 16 - 6. Calculate -l(p) + u(p).\nAnswer: p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2228 = -2*m - t, 2*m - m + 2*t - 1111 = 0. Which is the third smallest value?  (a) 1  (b) m  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 84\/23, 2\/233, 0.03, -0.1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21 - 23 + 1 + 496*g**2 to the form a + j*g + f*g**2 and give f.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4343309\/1507590 + 1\/107685. What is the common denominator of k and -35\/27?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -2*t + 60. Let o = t + -8. Solve l + 3*g = 14, -o*l - g - 14 = -37 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1543755.3 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 plus -23.8906?\nAnswer: -23.5906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 - k**2 - k - 1. Let d(n) = -16*n**3 + n + 2*n**2 + 3 + 10*n**3 - 2 + 2*n**3. Give -d(v) - g(v).\nAnswer: 3*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/20 and 19\/1336.\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 6*y - 20. Suppose u = -0*u + y. Suppose u*q = 13 + 7. What is the second biggest value in 0.2, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2654 = 4*k - 1078. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/10 + 284\/20. Suppose -s = 11 - j. Let t be ((-6)\/4)\/((-6)\/36*s). Solve 2*q = 5*q + 5*z + 31, -3*q - t*z = 21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.6 * 0.0815336.\nAnswer: -0.04892016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -43*j + 23. Let v(h) = 14*h - 8. Suppose 2*s - 1 - 13 = 0. Let c(q) = s*v(q) + 2*r(q). Is c(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -161359 and -4.\nAnswer: 645436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 2*u - 10, -1 = -3*u - 7. Let q(a) = 3 + g*a + 2 - 10*a - 2*a. What is q(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/12 - (-117782)\/(-1325400). Let v = 16243\/3785850 + h. Is v < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - a = 4*a - 10*a - 165, -5*a = 5*i + 165 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.59804 nanograms in kilograms?\nAnswer: 0.00000000002059804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, c: 4, d: 6, e: 1, m: 2}. What is prob of sequence ccm?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5517371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 117*q + 110. Let p be v(10). Suppose 4*m + 68 - p = 5*b, -2*b = 5*m - 1548. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000335787519 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 32*r**2 + r. Let m = -12 - -15. Let l be h(m). Let o = 418 - l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes after 6:07 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = 3*b + 457. Let m = -47 - b. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -284693382 and 1494?\nAnswer: 284694876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4 + 5\/((-20)\/(-32)). Suppose l*x - b = 34, 2*x + x - 25 = b. Which is smaller: x or 35\/4?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -36*r - 78. Let v be i(-3). Solve 4*s = 1 + 19, -5*c = 2*s - v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {k: 2, d: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, y: 2, i: 3, x: 2}. What is prob of sequence by?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9799 = -350*s + 11551. Is 56 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 6:03 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 1100221000?\nAnswer: 1100220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 479337995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -15 and 3009.3779.\nAnswer: 2994.3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -659*d**2 - 138*d**3 + 657*d**2 - 3 + 3 - 113*d**3 as j*d**3 + o + k*d**2 + x*d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10001111 (base 2) in base 15?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/8)\/(11\/(-22)). Which is the closest to n?  (a) 2\/3  (b) 4  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -6*c + 10. Calculate the greatest common divisor of 4 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*k - 103 = 148 - 48 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 328*n + 678*n + 40150 = -278*n - 18914 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -156*l**4 + 1570*l - 1848*l - 86*l**4 wrt l?\nAnswer: -2904*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 5*r - 10 + 30, 0 = 5*r. Solve -3*q = 2*u + c, -7 + 18 = 3*u - 2*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-6))\/(54\/81).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 138727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 1 - 10 + 8 - 2*d + 5. Let j be 10 + (1 - (0 + 3)). Let v(r) = 5*r - 11. Let h(n) = j*s(n) + 3*v(n). Determine h(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 205413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.05 + -0.25. Let s = 9 - 4. Let w = 83 - 82. What is the smallest value in s, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen tenths of a centimeter in micrometers?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 18 = -2*q + 2, -2*r + 5*q = 14. Determine f, given that -r + 117*f - 2*f**3 + 7 - 111*f = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fourty-seven quarters of a milligram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -4*z - 540009, -5*z + 7*g - 10*g = 674991. Round z to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11886, -47838, -107766, -191676, -299574, -431466?\nAnswer: -587358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*j**3*k - 11193*j**3*v*w**2 + 383*j**2*k*v + 2*j**2*w + 5*k*v*w**2 + 3*k*v + 3 wrt w.\nAnswer: -22386*j**3*v + 10*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32.1 + -1.1. Let x = -32 + n. Put 5\/2, x, 0 in decreasing order.\nAnswer: 5\/2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/4, 1\/365, -1\/18, 4, 0, 2\/51?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**2\/h)\/h**7)**4*((h\/(h*(h\/(h*h**(-8\/5)))\/h*h*h))\/h*h\/h**(-7))**(-2\/13) assuming h is positive.\nAnswer: h**(-1604\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, b: 3, y: 3, n: 3, e: 1}. Give prob of sequence bb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from cckcccccccccckcccccc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1847 is divided by 367?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7a41 + 3?\nAnswer: 7a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 263 = 2*m - f, -5*m + 630 = -3*f. Suppose -3*w - a = -m, 0 = -6*w + w - 2*a + 216. Let b be (9 + 3)*2\/w. Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-520)\/(-150))\/(-13)*30\/100.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - 0 - -6*21\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 197 is divided by 3 + (-138)\/(-3) + 6 + -5.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 0)*(-105)\/168\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 2*q + 12. Solve w - 3*j - 7 = -q, 0 = 3*j + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-67177)\/279 + (-4)\/18. Let m = 249 + a. Solve m = 4*i - 4*j, 3*i + j + 12 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0008926715 to 5 decimal places.\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7974642527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m*m\/(m\/(m**(-2\/51)\/m))*((((m\/(m\/m**10*m))\/m)\/m*m)\/m)\/m*m**(-14)\/(m\/(m**4*m)) assuming m is positive.\nAnswer: m**(-155\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 0, -33 + 449 = -4*n + v. What is n rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 0*p = 3*a - 15, 0 = -5*p - 2*a + 19. Let w be (-3)\/(p*(-1)\/8). Suppose -4*x + w = -36. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -471 + 470.5. Put 0.25, -5, s in decreasing order.\nAnswer: 0.25, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + b + 5 + 5 - 4.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -16*n - 764. Give b(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -v, 9*v - 5*v = 3*q - 104. Solve q*w = -18 + 102 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z**2 + 3. Let m(x) be the third derivative of -3*x**4\/4 - x**3\/3 - 10312*x**2. Calculate m(r(d)).\nAnswer: 72*d**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -9073 (base 12) to base 5\nAnswer: -1000024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 353 divide 1311748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1031991 = -3*n + 2*z, 3040 = -2*n + 3*z + 691034. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(88) + sqrt(88)*3*-6 + sqrt(88))*-4)\/((sqrt(72) + ((sqrt(72) - (sqrt(72)*2 + sqrt(72))) + sqrt(72))*-1 - sqrt(72))*1).\nAnswer: -128*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - 0)*(-6 + 1). Suppose 6 = 3*s, x + s + 16 = -0*s. Let l = x - -35\/2. Which is the smallest value?  (a) l  (b) d  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8762 times -0.03035?\nAnswer: -265.9267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -u**5\/5 - 27*u**4\/5 + 301*u**3\/5 - 813*u**2\/5 + 108*u = 0.\nAnswer: -36, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -61, -114, -185, -280, -405, -566, -769?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -1 - 13*t**3 - t - 12*t**3 + 36*t**3 - 13*t**3. Let g be q(-1). Solve -g*z + 5*n + 17 = 0, -2*n - 2*n = 3*z + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6713?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3545445343 to five decimal places.\nAnswer: -0.35454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/4321?\nAnswer: 2\/4321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*w + 6*w + 1020 = 0. Calculate the highest common divisor of 45 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -1\/5*s**3 - 3*s - 9\/5 - 7\/5*s**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of -1135*j**4\/12 - 406*j**3\/3 - 25*j - 18. What is the second derivative of h(d) wrt d?\nAnswer: -2270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*(-3)\/(-30)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in -4, 0.2, -0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**3 - 18*l**2 + 3. Let a(w) = 3*w**3 - 36*w**2 + 5. Suppose 0 = 23*c + 37 - 75 - 77. Determine c*b(x) - 3*a(x).\nAnswer: x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 161 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of 5*l**4\/24 + l**3\/2 - l**2. Suppose 0 = -7*g + 8*g + 2. Determine n(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 115971712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*y - 434 - 174 = 0. Calculate the greatest common divisor of y and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 10*d = -171. What is the remainder when 35 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 950 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2 or -3.738?\nAnswer: -3.738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 less than -447?\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.02521448 and 88.\nAnswer: 87.97478552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2 + 0*q**2 - q + 6*q - 7*q - 2*q**3.\nAnswer: -2*q*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 39484.999971006 + -39485. What is q rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1290 or -33446?\nAnswer: -1290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 12ad1f9 - 5?\nAnswer: 12ad1f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/1061 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 15614 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -9*((-2)\/4)\/(3\/(-4)). Let r be (v\/(-5))\/(12\/100). Suppose 0*k - 2*k - r = 0, 3*k = 4*d - 403. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -13*h + 3*h. Let f(x) = x - 20. Determine f(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 5*j + f + 2 = 0, -3*j = -5*f - 10. Suppose 7*x - 347 + 67 = j. What is the least common multiple of 65 and x?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 11:13 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f - 5. Let p = -14 - -18. Let z be t(p). Suppose 10 = -5*y - 5*q, -3*y - 20 = -q - 6. Which is the closest to 1?  (a) 1  (b) y  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -9*z - 1. Let v(p) = -1273*p + 4. Determine 2*u(l) + v(l).\nAnswer: -1291*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -363792?\nAnswer: 1\/363792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -u - u - 10*u**2 + 2*u as q + j*u**2 + f*u and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 272285 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 smallest common multiple of 45 and 282?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 75 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 575\/(-966)*20 - 3\/((-126)\/(-4)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 242*i + 177 with respect to i.\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*j**4 + 508*j**3 + 409*j - 13.\nAnswer: -36*j**2 + 3048*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1227, 12, 2, 0.4, 1 in decreasing order.\nAnswer: 1227, 12, 2, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/6*150\/4. Suppose -2*u = -7*u + n. Solve 0 = t + t - u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in -12, 8, 1\/4, 432?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 963.8 to the nearest ten.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y + 3. Let o be a(-3). Let i be 2\/3*(23\/(-5) - (-40)\/10). Put -2, o, i in ascending order.\nAnswer: o, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3979*h - z + 33 = -3980*h - 3*z, 4*h - 3*z = 44 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 310*w**2 - 721*w**2 + 244*w**2 + 315*w**2.\nAnswer: 148*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -74*c**3*y - 11920*c*y - 2*c - 12612993*y wrt c?\nAnswer: -222*c**2*y - 11920*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -684, -1132, -1580, -2028, -2476?\n\"Answer: -448*n - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 54389639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -2*v + 1 - 1\/2*v**2 + 15\/2*v**3 + 5\/2*v**4. What is the second derivative of q(o) wrt o?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*s - 4*s + s + (1 - 1 - s)*(-15 - 9 + 9))*(5*s**2 - 3*s**3 - 5*s**2) to u + h*s**3 + d*s + r*s**4 + m*s**2 and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = -6*c + 7*c. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -120.\nAnswer: -120, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, h: 4}. What is prob of picking 2 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-4) - ((-9)\/(-18) + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - y + 12 = 0. Let c = -6 - y. Solve 11 + 5 = -4*w, c = -3*g + 3*w + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-69 + 66)*(8\/10 + -1). Let j = -6 - -8. What is the nearest to -1 in -2\/11, m, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 20*p**2 - 70*p - 19. Calculate the lowest common multiple of k(4) and 34.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1928593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(220)\/sqrt(4))\/sqrt(11) + (sqrt(180) - sqrt(180)*1))**2 + -6*sqrt(45)*6.\nAnswer: -108*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 3*n - 74 = 0, 6*i - 66 = 60*n - 64*n. Let m(k) = k**2 - 13*k - 6. Determine m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 51720*i**3\/11 + 1140043*i**2\/11 + 48468*i\/11 + 4 = 0.\nAnswer: -22, -1\/24, -2\/2155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 2.6. Let n = i + 0.6. Let c be (3 - 2) + 3 + 18\/(-5). What is the closest to c in 2\/11, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -182457954*t**4*w + 4*t**2*w - 1138*t*w - 2*t + 120*w + 2 wrt t.\nAnswer: -4378990896*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(25)*1)\/(-1*sqrt(720)))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {y: 1, v: 4, a: 4, l: 1, t: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 16*v - 16. Let m(w) = -5*w**2 + 4*w - 4. Let o be m(2). Let b be k(o). What is the remainder when (b\/24)\/(((-4)\/141)\/2) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 c when three letters picked without replacement from {x: 6, c: 1, k: 2, i: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.047?  (a) -2\/3  (b) 1.96  (c) -3  (d) -1  (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 + 140*x + 4880. Give i(-65).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2206 divided by -1103.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 5*x**2 - 14*x - 3. Let q be a(3). Are 5\/108 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/2  (b) 0.06  (c) -1  (d) -3\/5  (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38046?\nAnswer: 2, 3, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 789 - 394 - 5751*c**3 - 393.\nAnswer: -5751*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**2 - 2158*z + 23496 = 0.\nAnswer: 11, 1068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*(sqrt(120)*1 + sqrt(120)))\/sqrt(8))\/(sqrt(5) + (sqrt(120)\/sqrt(4))\/sqrt(6) - (sqrt(605) - (sqrt(605) - (sqrt(605) - 1*sqrt(605))))))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*c - 1 - 21. Suppose j + 154 = 3*b, -c*b = 3*b - 2*j - 256. Calculate the smallest common multiple of b and (-15)\/6*(-6)\/5.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10850424 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-14) - 849\/(-7). What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-8))\/((-7)\/(-8)). Let i = -0.6 + 0.7. Suppose -13*k + 675 = 62*k. What is the biggest value in z, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33208 and 93912.\nAnswer: 55689816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1\/149 + 303\/745. What is the closest to 0.1 in c, 0.1, -3, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16067111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1745163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4546 + 24*i - 850 + 5396.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (28\/(-35))\/((-10)\/125). Let f be (6\/5)\/(y + (-95)\/10). Let 3\/5*c - 3\/5*c**3 - f*c**2 + 12\/5 = 0. What is c?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -9 + -8 + 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 319*q - 17463 = -5979 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15244 and 1739.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -6*q - 10*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**2\/4 + 77*w\/4 - 441\/2 = 0?\nAnswer: 14, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*v - 2*o, 0 = 4*v - 3*v + 3*o + 2. Sort 312, v, 1.\nAnswer: 1, v, 312","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 3*l + 5*l)*(-3 + 1 + 3) - 12*l + 40*l + 34*l.\nAnswer: 64*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -11902 divided by -1\nAnswer: 11902","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 7 = -t, 0 = 4*t + 1263*m - 1258*m - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*s - s. Let b = -0.13 - 2.92. Let d = b + 0.05. What is the nearest to s in 2, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -231 + 231.000414. Round p to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 59, -4, 109, -14 in decreasing order.\nAnswer: 109, 59, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109680?\nAnswer: 2, 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 - 12*j - 12. Give p(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/5 - 36*b + 183\/5.\nAnswer: -3*(b - 1)*(b + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -222 (base 5) to base 9.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (h**2 + 2*h**2 - h**2)*(46 - 9 + 18) as k*h + b*h**2 + r and give b.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-1 - (8 - 10)) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 609 and 2751.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -196.565 - 0.435. Let b = j + 196.999999814. Round b to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -53\/124 - -7577\/248. Let s = 30 - a. Let h = s - -15\/56. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 - -0.3. Suppose 786*h = 779*h. What is the third biggest value in h, i, 4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -6689, -6691, -6693, -6695, -6697?\n\"Answer: -2*u - 6687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 848171*f + 1. Let t(l) = 2*l. Give t(d(o)).\nAnswer: 2*o**2 - 1696342*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3318, -0.5, -5, 116?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -10. Put q, 2, -4 in decreasing order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 165 and 2376.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -395.\nAnswer: -395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14847570?\nAnswer: 2, 3, 5, 127, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-2)\/(20\/5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 9*x - 2234 - 2*x**3 + 47*x**2 + 2246 - 30*x. What is the remainder when 285 is divided by q(23)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 24 + -75a600?\nAnswer: -75a587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k**2. Let i be 3\/(-1 - 0) + 7. Suppose i*z + 2*r - 68 = 0, 7*z - 3*z + 4*r = 68. Let p(c) = z*c - c - 3*c - 2*c. Calculate p(x(o)).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -57 + 87. Calculate the highest common divisor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.319 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -14*s**2 - 52\/7*s**4 + 0*s + 149\/7*s**3 + 1\/7*s**5 + 0 = 0.\nAnswer: 0, 1, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1231274562 divided by 87948183.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 11:55 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/2  (b) -2\/3  (c) -2\/9  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*p - 1824 = -28*p. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22307953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -90*c**3 + 226*c**2 - 245*c - 391. Let f(b) = 32*b**3 - 76*b**2 + 82*b + 130. Let x(i) = -17*f(i) - 6*s(i). Find n, given that x(n) = 0.\nAnswer: -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 430533877 to the nearest integer?\nAnswer: 20749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 20630765 (base 8) in base 5?\nAnswer: 2111404301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -3*q + 14. Calculate the highest common factor of q and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*n - 4*n - 9*n + 8*n to g*n + b and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/3*b**2 + 0*b - 5*b**4 + 0 - 17\/3*b**3 = 0.\nAnswer: -1, -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 divided by -19409?\nAnswer: 93\/19409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 287993?\nAnswer: 97, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 15 - 1 - (-50 + 64 + 0 + -40 + -6)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*j + 6. Let z(m) = 5*m**2 - 10*m - 2. Let p(f) = 14*f**2 - 29*f - 6. Let i(y) = -4*p(y) + 11*z(y). Determine i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10957.905072 to the nearest one hundred.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (14 + -3 - 2) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and -601463547?\nAnswer: 601463544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 = 3*u + 157. What is the smallest value in -5, -4, 1\/6, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -40*f + 114. Calculate y(8).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) 0  (c) -13973  (d) 0.1  (e) 1\/5  (f) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of 9*q**2 - 3\/20*q**5 - q**4 + 0 + 20*q - 1\/2*q**3. Suppose n(g) = 0. What is g?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1646563 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 767.742 litres in millilitres?\nAnswer: 767742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2071*0.19.\nAnswer: -393.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 + 47*l - 210. Let t be a(5). Let i(h) be the first derivative of 0*h**2 + t*h**3 - 15\/2*h**4 + 3 - 33*h. Differentiate i(d) with respect to d.\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*d*v + 166*d + 104226*v**4 + 84 wrt v.\nAnswer: 2*d + 416904*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -37*a**6\/6 - 65*a**3\/3 + 717*a**2 - 2*a. Differentiate w(l) wrt l.\nAnswer: -2220*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 896.272l in millilitres?\nAnswer: 896272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 = 12*i + i. What is the greatest common factor of i and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 58 and 105037186.\nAnswer: 3046078394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15689 is divided by 475.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 13 = 5*a - 3*m, 4*m + 14 = -a. Calculate the smallest common multiple of -1*(-4)\/(-4)*-7 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -3*i + 5*i - 10, -i - 3*w = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, -4, 4, -7, -5 in increasing order.\nAnswer: -7, -5, -4, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/2*(-20)\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -3*p + 21, 2*s - 5*p = 5*s - 51. Suppose -a + 4*w = -0*a - 43, -s = -4*w. Let i = -27 + a. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1351 divided by 1?\nAnswer: -1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -258 + 264. What is the units digit of (a\/4)\/((-8)\/(-924 + 12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10645.\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 133000420 (base 5) to base 7.\nAnswer: 5466066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*l - 13. Let g = l - 6. Suppose -3*j - 2*j = g. Let p(n) = n**3 + n + 2. Give p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 0, -5 in descending order.\nAnswer: 26, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 18*-3*(-28)\/(-8)*(-6)\/126?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12770 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iyid when four letters picked without replacement from didqqqidtwiiqy?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -288, -4, 438, 1038?\n\"Answer: 79*v**2 + 47*v - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from eueeueeeeueeeeee.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6214209075 - 0.052.\nAnswer: -6214209075.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -276334292 by 69083573.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39 - -40) + 5 + (-10 - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pe when two letters picked without replacement from peppneeenepeep?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 910118 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15997 divided by -17.\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c - 5*y = 5*c + 10, -c + 10 = 3*y. What is the remainder when 3\/(-9)*-3*14 is divided by 0 + 0 - (-9 + c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -250600 - -122794051\/490. What is the common denominator of -61\/20 and o?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -49 + 109 + 2*r**2 - 3*r + 14*r**3 - 61 in the form d*r**3 + c + v*r**2 + p*r and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 312*s + 1563. Let a be l(-5). Let f(o) = -o**2 - 12*o + 31. Determine f(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*f - 33 = 48*f. Suppose 33 = -11*m + f. Which is the third smallest value?  (a) m  (b) -3  (c) 0  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 3:21 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, 0, -2 in decreasing order.\nAnswer: 0, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of 3 + 2*u**5 + 9\/2*u**4 + 0*u + 14\/3*u**3 + 1\/3*u**6 + 2*u**2. Factor v(j).\nAnswer: 2*j*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of h**5\/60 - h**4\/2 + 13*h**3\/6 + 19*h**2. Let i be d(11). Solve 7*a = i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 0*k**3 - 2 + 0*k - 1\/80*k**5 + 3\/2*k**2 - 1\/96*k**4. Let x(v) be the second derivative of u(v). Factor x(g).\nAnswer: -g*(3*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 75634237 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3113 divided by 1177\nAnswer: 283\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1841332 to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162 - 495 = -9*a. Calculate the remainder when a is divided by -3*(-20)\/18*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 + 11 - 4 - 2*i**3 + 2*i**2 + 0 to the form m*i + n + v*i**2 + a*i**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -42*v - 1. Give a(2).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -20, 0 = 5*w - 4*w - 4*r + 263. Which is bigger: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from {f: 2, l: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 50 = 202. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3507276041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 5*g + 18 = 0, 15*g = 2*n + 14*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 574129487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 9*p = 4*p + 13, -2*y + 18 = 2*p. Solve -2*g - 14 = 2*g - 5*a, -2*a = -y*g - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, 4, -5, -96, -1 in increasing order.\nAnswer: -96, -5, -1, -0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.06 and 2.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -129\/490 and 139\/490.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -5*f**3 - 7*f**2 + 6*f + 6. Let h(t) = -6711*t**3 - 6*t**2 + 3 + 6705*t**3 + 2 + 4*t - 2*t + 3*t. What is -6*h(g) + 5*l(g)?\nAnswer: 11*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -69, -3, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*r = -29 - 99, 3*x - 92 = 5*r. Let u = 42 - x. What is the greatest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2580326653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = 2*f - 38. Let k be f*(-3)\/6 - 4. Suppose 60 = k*a + a. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of l**3 - l - 1\/120*l**6 + 1\/12*l**4 + l**2 - 1\/15*l**5 + 0. Let w(h) be the first derivative of z(h). Calculate w(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that s**4 + 1036497*s**3 - 5182507*s**2 + 3109515*s + 9328518 = 0.\nAnswer: -1036502, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 19*h**2 - 66*h - 108. Let q(j) = 3*j**2 - 11*j - 18. Let w(p) = 25*q(p) - 4*s(p). Give w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/7?  (a) -68\/7  (b) -577  (c) 2  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -9.7. Let d = -0.13 + -0.27. Which is the second smallest value?  (a) d  (b) 4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 11:48 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of -155*s**4\/6 + 85*s**3\/6 - s**2 - 1. Is o(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + -6)\/(-6) + 5\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -6*o. Let m(d) = -390*d. Determine u(m(p)).\nAnswer: 2340*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78*d - 592 = 188 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 2:40 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gxxxgg. Give prob of picking 3 g and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 1:51 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8.9265 - 0.0435. Let j = 9 + t. Let f = -0.07 - j. Which is the biggest value?  (a) -1\/5  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 7*r**2 + 15*r - 38. Let d(c) = 12*c**2 + 25*c - 65. Let t(n) = -3*d(n) + 5*h(n). Let k = -1 - 4. Determine t(k).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 36 = 11*d. Suppose -4*a - 8 = g - 25, 5*g - 5*a - 10 = 0. What is the remainder when -9*(-3)\/d + 2 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30094*w**3 - 18*w + 18*w + 12*w**2 - 30095*w**3.\nAnswer: -w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -460980, -1844988, -4151678, -7381056, -11533128?\nAnswer: -16607900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -57 or -58?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 218 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**2 - 4*l**2 + 5*l**2 + (-2 + 5*l + 6 - 2*l)*(0 + 0 + l).\nAnswer: 5*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -12. Let h(o) = -o**2 - 5*o + 2. Let v be h(i). Let s(c) = c + 17. Let u(z) = -z - 9. Let y(w) = -3*s(w) - 5*u(w). Give y(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 4*o**4 - 2533324*o**3 + 15199848*o**2 - 30399632*o + 20266400 = 0.\nAnswer: 2, 633325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -691 times -122.948?\nAnswer: 84957.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 136 and 17764.\nAnswer: 603976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 6*g + 18 = 0. Suppose n + 10 = 4*d, n + 46 = g*n + 4*d. Solve i + i - n = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.02  (b) 95\/6  (c) -1.9  (d) 584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 1. Suppose 3*f - z*l + 28 = -f, 5*f + l = -65. Is f\/(-54) + 554\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1, -0.1, -0.4, 1738987, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*m**2 + 57*m - 118*m + 62*m)*(0*m - 3*m + m).\nAnswer: -48*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*5*(-2 + sqrt(6)\/sqrt(2) + (sqrt(3) - (3 + 2*sqrt(3))) + 5)*6*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 7. Suppose 3*t + 2*t - 7 = 3*w, 3*w + 11 = 4*t. What is the remainder when 66\/w*(-6)\/4 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18.9 - 18.89927. Round q to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5619 divided by -17.\nAnswer: 5619\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - -12 - 0 - (-348 - -352)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*1 - 2\/2. Let v be (210\/25)\/7*-5. Let s = l - v. Solve 0 = -0*q + s*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 58*t**2 + 3*t + 55. Let x(d) = 58*d**2 + 4*d + 55. Let m(q) = 4*s(q) - 3*x(q). What is the first derivative of m(c) wrt c?\nAnswer: 116*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 2*r - 124 = 0, i - 14 = 2*r + 22. Suppose 7*s - 126 = 434. Calculate the highest common factor of s and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*d + 3 = -117*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1100 + -10?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 4, 0 = -3*o + 2*o - 2*l. Suppose -5*c - o = -34. Calculate the lowest common multiple of c and 6\/84 + (-1004)\/(-56).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q + b - 14, -1033*q = -1031*q - 3*b + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 210\/(-3) - (1\/(-2)*(21 - 17))\/1\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 + -139\/3. Let j = 37.383 - 34.383. What is the closest to 0 in w, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(114) - (sqrt(114) + -4*sqrt(114) + sqrt(114) + sqrt(114))))\/sqrt(6).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - a - 4*a - 27, 2*p = 2*a - 20. Let u = 278\/45 + -12\/5. Find the common denominator of p and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + 0 - (2 + -1). Let i be 2*1*6\/4. What is the third biggest value in 5, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3*z - 4 + 1)*(-3*z + 4*z - 2*z).\nAnswer: 3*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-5) + (-1923)\/15. Let m = 44531\/198 + -1741\/18. Let f = m + r. Sort -4, 1\/3, f in decreasing order.\nAnswer: 1\/3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -25 + 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -20807, -39410, -58011, -76610, -95207?\n\"Answer: c**2 - 18606*c - 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.61713*5.\nAnswer: 3.08565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/4*1368\/((-1767)\/(-31))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**2 - 2*l**2 - 3290226 + 3290226 - 5*l**2 - 3*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -131\/4 - -33. Let g = -0.09923 + 3.09923. Which is the nearest to l?  (a) -1  (b) g  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -13.03. Let n = m + -3.03. Let k = -0.9 - -0.5. What is the third smallest value in 2\/5, k, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -27\/58 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -128.67828 and 0.7.\nAnswer: -127.97828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2356 - -21260\/9. Calculate the common denominator of v and -41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252\/(-720)*10*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -21002021002120 (base 3) to base 10\nAnswer: -3764625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125488 + 1809241 = 4*y - 16219. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 - 3251*u**2 - 3250*u.\nAnswer: -u*(u + 1)*(u + 3250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -39*m + 4. Let c(y) = 2*y**2. Calculate x(c(n)).\nAnswer: -78*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.191214685 to 3 dps.\nAnswer: -0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30681 and 4383.\nAnswer: 30681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3402 = -2*i - 4*c, 2*i + 1435 = 3*c + 4837. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 12*x - 9*x**2 + 9 - 35*x**2 + 3*x.\nAnswer: -44*x**2 - 9*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -8728*m + 78796. Calculate j(9).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2137984*d. Let q(z) = -4*z**2. Give y(q(x)).\nAnswer: 8551936*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 5*j**2 + 2. Let m(c) = c - 1. Let w be m(6). Let f be p(w). Let -14*s**2 - 11*s**2 - 4*s + 7*s**f - 14*s**3 = 0. Calculate s.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 350 and 2975?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/9)\/(70\/(6860\/(-49)))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -156, -483, -1084, -2043, -3444?\nAnswer: -5371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6047062439 to the nearest integer?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 17 = 23. Suppose -4*l + q = -4*q - 73, 78 = h*l + 4*q. Suppose -l*y = -25*y + 30. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29700 divided by 275\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 401 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1808669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*n**3 - 23*n**3 + 9*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 336 - 323. Let i be 1 + -1 + 30 + -1. Let d = i - y. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q**3 + 2*q**2 + 10*q**3 - 4*q**3 + 3 + (-4*q**2 + 3*q**2 + 0*q**2)*(0*q + q + q).\nAnswer: 7*q**3 + 2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101000 + -10010?\nAnswer: -10111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rerrer. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (640\/480)\/(0 - 8\/90)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1019766627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000014186582354 to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 3. Let a be o(0). Suppose -28*s + 2*b = -23*s - 323, 2*b = 2. Is (21\/7)\/(a\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3227 - -11293. Suppose -11*q + y = -591. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17186 + -17154. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 5*j + 10*j = 425, 0 = 3*r - 2*j - 270. Suppose -3*c = 5*m - 90, -7*m = -4*m - 5*c - r. Solve -4*i = -5*l - m, -2*l - 17 = -5*i + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8225 take away -258?\nAnswer: -7967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-244)\/10)\/(590\/50 + -12). Calculate the highest common factor of s and 1647.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 4*z + 66, -i = 4*z - 3*z + 18. Let o(x) = -14*x + 277. Let y be o(20). Put y, 5, z in increasing order.\nAnswer: z, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - k + 0*k - 1 = 0, 5*b + 3*k - 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of 0*g**5 + 0 + 0*g**6 + 23\/6*g**3 + 24*g + 8\/21*g**7 + 0*g**4 + 0*g**2. What is the second derivative of s(n) wrt n?\nAnswer: 320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 600 and 400.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*p + 5*p, 2*b + 2*p = -6. Let x be 12\/(-30) + 3\/(-5). Let r = 26 + x. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 462 a factor of 289715211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -28, -63, -108?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93671509?\nAnswer: 239, 337, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 11*b**4 + 0 - 1 + 3*b**2 + 10*b**4 - 8*b - b**3 - 1 to the form y*b**4 + i*b**3 + m*b + x*b**2 + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 0*y + 4. What is the remainder when 2\/(-3*(-5)\/30) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22*c**4\/9 + 136*c**3\/9 - 8*c**2\/3.\nAnswer: -2*c**2*(c - 6)*(11*c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 3 + -9 + 65 + -8?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/20 - (-7377)\/12. Suppose -1639 + w = -4*s - 4*n, 4*s = 2*n + 1036. Let f = s + -144. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5392*g + 129 - 20 + 5389*g)*(2*g - 3*g + 2*g).\nAnswer: -3*g**2 + 109*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 692*v + 35*v. Let m(s) = s + 10. Let k(g) = -2*g - 19. Let j(r) = 4*k(r) + 7*m(r). What is j(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12825534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 AM and 8:41 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1344 - 1343. What is the biggest value in f, 0.45, 0, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1225367\/(-29887) - 1228\/(-30).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 264 - 49. Let j = x + 93. Calculate the remainder when j is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11 + -854404.\nAnswer: -854393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 170 and 4222069.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 324 and 72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16.3 - -139.3. Let u = -122.8 + s. What is the closest to u in 0.5, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 536 - 516 - 284\/14. Which is the closest to -5\/2?  (a) -2\/3  (b) 1  (c) g  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1130 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.136798 plus 0?\nAnswer: -0.136798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -2931*h + 5072. Let u(t) = -5861*t + 10140. Let b(k) = 13*l(k) - 6*u(k). What is the derivative of b(n) wrt n?\nAnswer: -2937","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0234 * -14885.\nAnswer: 348.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1875 a factor of 667293750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 169*h. Let p(r) = 19691*r. Let l(q) = 582*a(q) - 5*p(q). Let m(g) = g**2. Calculate m(l(n)).\nAnswer: 9409*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 5*v = 10*v + 43*v. Solve v*n - 2*n + 4*p = 2, 3*n = 2*p + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l + 1. Let n(o) = -6*o - 70. Calculate -n(p) + 5*q(p).\nAnswer: p + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*p - 62 = -23 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4827876 and 3?\nAnswer: 4827876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 0) + (-20 + 20 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7)\/(-2 + 15\/9). Suppose 8*f = -4*t + 3*f + 41, 4*t + f - b = 0. Solve -m - m = t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2338, 3381, 5122, 7561?\n\"Answer: 349*c**2 - 4*c + 1993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*y = 3*y + 110600 + 248842. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + b + 239, -9*b + 127 = 2*k - 12*b. Calculate the remainder when 115 is divided by k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 369 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s**(1\/46)\/s)\/s)\/s*s)\/s*s)\/(s\/s**20)*s**(-4\/5)\/s**(-37) assuming s is positive.\nAnswer: s**(12241\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 650784356 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -528, -1092, -1656?\nAnswer: -2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 3*i**2. Let g = -111 + 108. Let k be c(g). Sort -18, -1, k in ascending order.\nAnswer: -18, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k**2 + 11*k. Let p be c(-5). Put 1, -25, p in decreasing order.\nAnswer: 1, p, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**3 + j**3 + 3*j**3)*(-j + 0*j + 0*j - j + 2*j + 2*j + (2*j + 0*j - j)*(1 - 2 - 1) - j + 2*j - 3*j - j - j + 0*j).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -166*j - 702. Let p be l(-21). What is the greatest common divisor of p and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17829058, -35658132, -53487206, -71316280?\nAnswer: -89145354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2305974515 a multiple of 1121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(-3*q - 3*q - q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -100*b*m**2*y - 482*b*m*s**3 + 65726*m**2*s**2 - s**3 + 3*y with respect to b.\nAnswer: -100*m**2*y - 482*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -0.18, -570557, -4, 0?\nAnswer: -570557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r - 4. Let y be i(-7). Suppose y = 4*o - 5. Factor 6*w**4 - 12*w**3 - w**4 - 4*w + 0*w**4 + 12*w**o - w**4.\nAnswer: 4*w*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17\/774 - 655\/5418. What is the second biggest value in 3\/7, -1, n, -276, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 262.0271 litres to millilitres.\nAnswer: 262027.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/18*66\/(-3520)*8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122563.9 centuries to millennia.\nAnswer: 12256.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffuhffffbdfffttffb. Give prob of sequence ftdt.\nAnswer: 11\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.105, -929377, 1\/6 in descending order.\nAnswer: 1\/6, -0.105, -929377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of 3*q**4\/20 + 18*q**3\/5 + 162*q**2\/5 + 648*q\/5 - 23. What is l in s(l) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -427585*-0.5.\nAnswer: 213792.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78270 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -2*o**2 - 1\/6*o**3 - 13\/240*o**5 + 1\/8*o**4 - 1\/840*o**7 + 1\/80*o**6 + 0 + 0*o. Suppose u(m) = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 109 (base 11) to base 9.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 0.11  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - s - 81 = 4*s, 132*z - s = 31*z - 3*s - 133 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 + -21. Suppose -z*r + 56 = -5*u - 99, 31 = r + 2*u. What is the remainder when r is divided by (-7)\/(-2) + -2 - 29\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -129*((-3)\/9 + 1). Let d = -256\/3 - l. Factor -1\/3*n - d + 1\/3*n**2.\nAnswer: (n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 5*d = -15, -21 = -j - d - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + 450\/(-216)*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4893 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 144 - 85. What is the remainder when 350 is divided by j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28053 and 75?\nAnswer: 701325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 + 24. Let y = 16 + -6. Suppose i*j - 3*j = -y. Sort j, -2, -3 in descending order.\nAnswer: -2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -2*w + 25. Let i be w\/(-10) - ((-27)\/12 + 2). Which is the third smallest value?  (a) i  (b) -1\/34  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -20 = -106\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r - 1. Let p(u) = 11*u - 2. Let q(i) = -3*i + 53. Let z be q(-8). Let d = z - 76. Let l(b) = d*p(b) + 6*c(b). What is l(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 460 - 456. Suppose d*z = -2*h - 0*z + 70, 2*h - 71 = -3*z. What is the remainder when 103 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1751\/765*-9 - -21)\/((-299)\/(-150) + -2).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2 + 1357*q + 56502.\nAnswer: (q + 43)*(q + 1314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (615\/(-36080))\/(39\/(-1456))?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 + 7*q + 42. Let m be v(11). Let l be (m\/(-7))\/((-5)\/280*-8). Solve l*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 4*d - 1025, -2*u + 46*d + 684 = 44*d. What is the remainder when u is divided by 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k - 8. Let v be w(5). Solve 2*u - 2 = -v*g - 3*u, g - 6 = -5*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of 0*b**4 + 0 - 33*b**2 + 0*b + 0*b**3 + 1\/20*b**5. Let i(z) = -z**2. Calculate i(t(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 2.1. Let r = 109 - 105. What is the biggest value in 2, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -13*w + 19 + 15*w - 25. Let l = 1 + 3. Give t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13535*j**2 - 31247*j.\nAnswer: 27070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.038 and 0.4?\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 382008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(231)\/(sqrt(275)*2))\/(sqrt(315)\/sqrt(5)*4).\nAnswer: sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -395 - -397. What is the second derivative of 13*p**2 - 2*p**5 - 235*p - d*p**2 + 6*p**5 + 12*p + 5*p**5 wrt p?\nAnswer: 180*p**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -3*s + 3*i, 5*s - 4*i = 0. Let t = -5 + 10. Put -1, t, s in decreasing order.\nAnswer: t, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 3:34 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 times -998?\nAnswer: -18962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13484 + -13484.2. What is the fifth smallest value in 0.4, m, 0, -2\/11, -2\/97?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/(-24))\/(9\/(-42)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -462 + 673. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 26*l + 1 + 27*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 93237510 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 20\/7  (b) -1  (c) 2\/9  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 7*a**2 - 18*a - 16. Let m(c) = c**2 - c. Let l(x) = 4*m(x) - o(x). Let b be l(12). Suppose -86 = -j + b. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 3*r - 14*r. Put -8, -3, r in descending order.\nAnswer: r, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 880.15284 minutes in days?\nAnswer: 0.61121725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3 + 0 + 0)*(0 + 3 - 1)*(-5*f + 5*f + 6*f) - 3*f - f + 3*f)*(33 - 4*f - 33) to t + x*f + a*f**2 and give a.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19 - 14*q**3 + 14 - 23 + (1 - 1 - q**2)*(2*q + 2*q - q).\nAnswer: -17*q**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 57 = 4*f, -2*f + 8 = -3*f - 5*n. Let l = 35 + f. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -147.2 plus -3777695.6?\nAnswer: -3777842.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + -5. Let t = 4 - l. Let q be 8*2*2\/8. What is the third smallest value in q, t, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/1*(-51)\/(-2). What is the remainder when 25 is divided by 1\/(h\/(-27) - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**4 + 2*v**4 - v**4 + (-2*v**3 + v**3 + 0*v**3)*(2*v + 0 + 0) - 183*v**4 + 171*v**4 - 3 + 0.\nAnswer: -15*v**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**24*j*j*j**26)\/(j*j**(-15)*j)**(1\/23) assuming j is positive.\nAnswer: j**(1209\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 9, o: 1, q: 1, m: 2}. Give prob of picking 1 q, 1 o, and 1 m.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 665454.6 years in months?\nAnswer: 7985455.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -5)\/((-16)\/16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of 13*i**2\/2 - 11*i + 1. Let v(c) = 9 + 5 - 20 + 7*c. Give -6*n(t) + 11*v(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 28467797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 5*p**2 + 5*p + 8. Let o be c(6). Let z be (-20)\/(-12) + o\/(-3). What is q in -q - 4*q**3 - z + 2*q - q**4 - 6*q**2 - 5*q = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 - 9. Let y(q) = -q - 4*q + b*q. Let l(k) be the first derivative of 2*k**3 + 238. What is y(l(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(-6)*-1*(-6)\/(-14)*-1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -73 - 47. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-10*(-10)\/20)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) -17797  (b) -1\/2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -100099\/14 - -7156. What is the common denominator of v and 157\/132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s + 3*s + 135. Let o = s + -12. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -34\/185 - -11966\/12765. Calculate the common denominator of 29\/30 and m.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2998415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence shh when three letters picked without replacement from fshhssffsshfhshs?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 118*i + 482. Let m be o(-4). Solve -13*b = -3*b - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -52 by -11456.\nAnswer: 13\/2864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -986 divided by 239?\nAnswer: -986\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(228)\/((sqrt(1452) - sqrt(1452)*2) + sqrt(1452) + sqrt(1452)) - (-1 + sqrt(2736) + 5 - sqrt(2736))**2.\nAnswer: -16 + sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - (-4)\/(-2))*(-7)\/(-2). Solve k*w - 3 = 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16749, -66780, -150163, -266898, -416985?\n\"Answer: -16676*j**2 - 3*j - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62348 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 9:51 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2250263148 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 6*h - 366. What is the greatest common divisor of 33 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14501.19 - 5.\nAnswer: -14506.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g. Let y(u) = 9*u. Let p(m) = 6*b(m) - y(m). Let x(h) = -1. Let k(l) = -l + 3. Let o(j) = k(j) + 3*x(j). Give p(o(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 19467 smaller than 12418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, e: 3}. What is prob of sequence bee?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*s = 1 + 3, -4*q - 5 = s. Let o be -7*((-1)\/1)\/q. Let f be (-240)\/36 + ((-10)\/(-15))\/(-2). Is o at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/7*-1*(-21)\/(-12). Let p be ((-375)\/600)\/((-15)\/12). What is the second biggest value in 3, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*4\/(-68) - 1532\/(-17). Calculate the greatest common divisor of q and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 + -3)\/((-2)\/26). Suppose 0 = -3*s + 3*z + 9, -3*s + 2*z = -0*s - w. What is the third derivative of s*i + 8*i**2 - 13*i + 6*i + 5*i**5 wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 430872.499 to the nearest 100.\nAnswer: 430900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4\/3 + 2*m**3 - 32*m**2\/3 - 32*m.\nAnswer: 2*m*(m - 4)*(m + 3)*(m + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -3*o**2 - 88*o - 147. Give d(-28).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17927763 = 490*b - 469*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 1805 = -5*a, -3*a + 0*a + 1086 = 2*w. Let q = a - 167. Let f = q + -134. What is the highest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 61990 and -243648.08.\nAnswer: -181658.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22*128\/(-352) + 11 + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*r**3\/7 - 3282*r**2\/7 - 87544*r\/7.\nAnswer: 2*r*(r - 353)*(5*r + 124)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, 1\/135, -5, 23, 0.021.\nAnswer: -5, 1\/135, 0.021, 3\/8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/3 + 180564*k - 24452518572.\nAnswer: -(k - 270846)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-51529*n - 29053*n - 58850*n + 200*n - 24305*n + 20733*n)*(n + n - 4*n).\nAnswer: 285608*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of -7*i**5\/20 - i**3\/6 - i. Find the second derivative of w(c) wrt c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**3\/11 + 14*l**2\/11.\nAnswer: 2*l**2*(l + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 74452 - 1*-2 - (-20)\/20. Let q = -4169593\/56 + s. Calculate the common denominator of -137\/24 and q.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(10)*2 + sqrt(10)) + sqrt(2) + sqrt(20)\/sqrt(160).\nAnswer: 19*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-11 + (-9 - -17) - 8) - -28?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26 + 17. Let s(k) = 2*k + 19. Let b be s(w). Let o(x) = -x**2. Let z(q) = q - 1. Determine b*o(g) - z(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*2\/84*49*(-22)\/616.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 202481*i = 202658*i - 23010 for i.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03728370867 to 6 decimal places.\nAnswer: -0.037284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6 - -1)\/((-4)\/(-332)). Suppose 0 = -4*i - 5*w + 2*w + g, -3*i + 3*w + 462 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 0, 5*x + l + 232 = -113. Let s = -33 - x. What is the highest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 7:30 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3978844810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8614, 44339, 103880, 187237, 294410?\nAnswer: 425399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 261*g + 1788. Determine v(-8).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*t**2 - 779*t + 259*t + 261*t + 256*t - 5 + 3.\nAnswer: 79*t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/1)\/2*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33*k - 36*k + 82*k)*(-2*k**3 - 3 + 3) + (-k**3 + 0*k**3 - k**3)*(0*k + k - 2*k) + 7*k**4 + 2*k**4 - 3*k**4.\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -5*w - 41, 2*o - 43 = 5*w - 2*o. List the prime factors of 1058\/10 - (7\/5)\/w.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 5*y**2 - 20*y - 162. Determine d(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 852521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(567)*1 + -1) - 1*3*(sqrt(567) - (sqrt(567) + sqrt(567) + 1)))**2.\nAnswer: -486*sqrt(7) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 413 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1820429859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-42)*(27556\/581 + 72\/28 + -2)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (682 + 19*p - 682)*(-2*p - 2*p + 2*p + (4 - 1 - 2)*(4*p - 11*p + 0*p)) to the form x + u*p**2 + r*p and give u.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s**4 - 36*s**3 = 0. What is s?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -163, -3, 2 in ascending order.\nAnswer: -163, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooyyuouomkyuyv. Give prob of sequence ou.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + 1\/(-1)*-2. Let y(w) = w**3 - 3*w**2 - 3*w - 2. Let z be y(4). Suppose 10 = x*a + z. Calculate the least common multiple of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, e: 2, s: 4, y: 10, n: 1}. What is prob of sequence eeey?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.66 - 629.66. Let d = 597 + x. Which is bigger: -0.4 or d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2022121 (base 3) to base 11\nAnswer: -12a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/25 or 1\/17?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 229 + -117. Suppose -r - 2*k = 2*r - j, 3*k = 4*r - 155. What is the remainder when r is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -349 - -2322. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -3.34446.\nAnswer: 10.03338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 3\/10660894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 1. Let v = -11 - -10. Let z be j(v). Which is the closest to z?  (a) -1\/7  (b) 0.4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 89678911?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*2 + (-1)\/(4\/(-40)). Let p(l) = l - 12. Let q be p(t). Suppose q = 3*n + 6 - 24. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 6*j - 39. Let z(i) = 1 - 6*i + j - 3. Let x = 31 - -3. Let r(u) = u - 2. Give x*r(k) + 6*z(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 + 14*v - 49. Let t be o(-17). Which is greater: t or 5\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 3 - 2 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.9, 105, -0.5, -1\/4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 9*p - 2. Let z be i(2). Suppose 2*u - 4*t - 2 = z, 0 = -t - 2. Suppose -16 = -5*r + 3*d + 8, 28 = 3*r + 5*d. Solve -r*y - u = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence arkr when four letters picked without replacement from vrszksrkrkravk.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2129359 is divided by 1228.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 668 divide 26487205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 7. Let f = a - -3. Solve 0 = -f*m - v - 4, -1 = -2*m + 3*v - 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 + 10*s - 3. What is the least common multiple of 20 and o(-11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 2 + 2 = 0. Let i be 1\/(-6) + x\/6. Let n be i\/(-4) - (-4)\/2. Let u(o) = -o**2 + 4*o + 1. Calculate u(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -4*x + 9. Let n(y) = -432*y**2. Determine n(q(w)).\nAnswer: -6912*w**2 + 31104*w - 34992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-7)*(-5)\/(-15)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -559*m = -98*m + 198 + 5795 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -630*s**3 + 1218*s + 3896*s + 2256*s**3 wrt s.\nAnswer: 9756*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x - 4. Let v be j(3). What is the tens digit of -3 - (v + -37) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 4 + 2. Solve -o = o - r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -s + 22, -3*a - 3 = -0. Suppose -12 = -22*t + s*t. Let l(p) = p - 4. Let h be l(6). Solve -h*k + 3 = -t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.097 in -4, 3\/7, -5, 27\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 315 and 1281890505?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.1 + 0.7. Let z = w + -0.6. Let n = z + 0.7. Which is the smallest value?  (a) n  (b) -3  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*b = 2*p + 44*b + 27, 0 = -p + 5*b - 26 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -229564 plus 5171.5?\nAnswer: -224392.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -15*w + 83. Let z be k(7). Sort 0, z, -4, -1 in decreasing order.\nAnswer: 0, -1, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 11:52 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 - (-459)\/(-34))\/(27\/(-7)) - 2\/18?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 16*k + 6. Let u be j(4). Let s(q) = 5*q**2 + 0*q - 11*q - 1 + 3*q + u*q. Calculate s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*y**2 - 4*y**2 - 3*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12180, 12187, 12206, 12243, 12304?\nAnswer: 12395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 105069 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 8*w**3 + 5*w**2 - 4*w + 15. Let b(k) = 10*k**3 + k**2 - k + 1. Determine 3*b(c) - o(c).\nAnswer: 22*c**3 - 2*c**2 + c - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.76 - 70.96. Let o = a + 66.293. Round o to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.9  (b) -2\/3  (c) -0.3  (d) 4  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 3, 4, -0.08 in ascending order.\nAnswer: -0.08, 2\/9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -159\/194810 and 19\/66402380.\nAnswer: 464816660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4 - 5 = 0. Let q(o) = 5*o**3 + o**2 + 8*o + 1. Let k(j) = 4*j**3 + 2*j**2 + 7*j + 1. Let i(r) = d*q(r) - 4*k(r). Does 12 divide i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1905024 and 20992?\nAnswer: 7620096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21.972 - 0.028. Let s = -21 - p. Which is the nearest to s?  (a) 0  (b) 2\/13  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 251950 and 400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 7d9 (base 16) to base 7\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1975709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 33 = 3*h, -4*p - h - 2*h = -39. Let r = p - 8. Let d be (-1)\/(-3 - r - -2). Sort d, -3, 4.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -22668286, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.3901287m?\nAnswer: 390.1287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -44, -112, -214, -350, -520?\n\"Answer: -17*x**2 - 17*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 15 = 6*u - 2*t, 0 = -4*u + 3*t - 21. What is the smallest value in -1\/5, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 70 + 366 = 4*l, 0 = -d + 5*l + 139. Let c = d - 67. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5133b - 4?\nAnswer: 51337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1337 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**2 - 10*f - 1. Let p(z) = -z. Suppose -5*b + b + 20 = 0. Let a be p(b). Let j be l(a). Sort j, 4, 5 in increasing order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/5)\/(1\/15). Suppose -5*i + z*i = 4. Suppose -i*g + 5*g - 62 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 0*f**2 + 2*f**2 - 4*f + 5 + 2*f. Let l(j) = 1 + j**2 + 0*j + 2 - j + 0*j**2. Give -3*i(m) + 5*l(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/30*(-55)\/(-33)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1284*u**2 + 1291*u**2 - 5 + 8.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*t + 380 - 175 = -2*t + 169 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + 77ab?\nAnswer: 77a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50131?\nAnswer: 50131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 1246?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3 + -7.3. Which is the biggest value?  (a) 0.5  (b) -3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -59 - -61. Suppose 2912 + 3162 = t*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4896 and -1.\nAnswer: 4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum -98 and -1577.1.\nAnswer: -1675.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -334600 divided by 1673\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from mzvgmqhqmgmmmmhhmhgz.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 494 is divided by 156.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -14*w. Let h(b) = -52*b**2 + 2. What is h(y(a))?\nAnswer: -10192*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 24655 or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 124 + -66. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.6, -0.3, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g + 1. Let x(q) = -10*q + 8. Give 6*t(p) - x(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1790, 7110, 15940, 28280, 44130, 63490?\n\"Answer: 1755*k**2 + 55*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3539080164 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 717 = -26*n + 29*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*a**2*l + 3*a**2*q - 68*a*l - 121*a*q - 7*a + 121*l*q - 26*l wrt q?\nAnswer: 3*a**2 - 121*a + 121*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.1 - 0.4. Let y = h - -1. Suppose -7*v = -2*v - 5. What is the second biggest value in y, v, -3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, f: 2}. Give prob of sequence kff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3949, -8291, -12657, -17059, -21509, -26019, -30601?\nAnswer: -35267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 183 + 171. What is the remainder when p is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2535378647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3 = -5*x + 7, -x - 5*u = -29. Let g = -17 - -19. Put x, 0, 5, g in increasing order.\nAnswer: 0, g, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1981, -1\/99.\nAnswer: -1981, -1\/99, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.05, 0.5, -0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13639701839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8)*3*3)\/(sqrt(44)\/sqrt(44)))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -489*c**3*k**3 + 26*c**3*k + 14*c**2*k**2 - 10*c*i*k**3 - 10*c*i - 2*i*k**3 - 2*k wrt k.\nAnswer: -2934*c**3 - 60*c*i - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11016 divided by -68?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express ((c + 2*c**3 - c)*(-2*c + 0 + 0) - 2*c**4 + 5*c**4 - 2*c**4)*(5 + 27 + 5) in the form o*c**2 + k + b*c + p*c**4 + d*c**3 and give p.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2453 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -420*j + 1109 + 4391 = -334 - 46 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (22 + -17)\/((-2)\/76). Let n = u - -338. What is the remainder when n is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6.3  (b) 7  (c) 5.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2261\/9 - -251. Sort -0.3, b, -2.\nAnswer: -2, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 + 24*z**2 - 9. Let i be d(-12). Let h = -6125 - i. Round h to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 13*r - 11. Let c(k) = 2*k**3 + 10*k**2 + 2*k. Let x be c(-5). Let d be l(x). Calculate the common denominator of 58\/3 and d\/42 - -3 - -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 10:06 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 601*v + 17403. Calculate f(-29).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1356 + 6742\/5. Find the common denominator of -21\/76 and i.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -4*v**3 - 5*v**2 - 2*v + 8. Let y(j) = -10*j**3 - 11*j**2 - 4*j + 17. Give 13*s(t) - 6*y(t).\nAnswer: 8*t**3 + t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x - 2*x + 5*x)*(2*x - 4*x + 0*x) + 3*x**2 + 19*x**2 + 2*x**2.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 52, 259, 960, 2449, 5020, 8967?\n\"Answer: 49*h**3 - 47*h**2 + 5*h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1378 and 314873?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -133*v + 106633 - 106633 as c*v + m and give c.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from nnlnnnnlnmbnnm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 4*n**2\/5 + 344*n - 6944\/5 = 0.\nAnswer: -434, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (18 - 14) - 8 - (8 - 4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 856 - 11981\/14. Let t = -5 - -6. Is t > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 AM and 3:14 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 58*g**2 - 2729*g + 211. Calculate a(47).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1592 and -19191977876.\nAnswer: -19191976284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i\/(i*i\/(i\/((i\/(i*(i*i*i**1)\/i))\/i)))*i**(-4\/7)*i**(2\/7)*i*i*i**(5\/6)*i assuming i is positive.\nAnswer: i**(317\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3318 + -4343. Is -1023 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/4))**(-3\/7)\/(j**0*j**(-3)))\/((j\/(j*j*(j*(j\/(j*j**2*j))\/j)\/j*j))\/j**(-1\/12))**(16\/7) assuming j is positive.\nAnswer: j**(-157\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 5*x**2 + 5*x. Let l(k) be the first derivative of k**4\/24 + 69*k**2\/2 - 16. Let o(z) be the second derivative of l(z). Determine g(c) - 5*o(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 2. Let g = -1 + m. Suppose 5*s = 5, 2*s = -3*w + g + 36. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {k: 1, m: 1, x: 1, c: 1, l: 2, n: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 601688 to the power of 1\/2, to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4 = 6. Solve -3*r - 7 = a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1831726251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 1 - 13)\/(3811\/(-111) + 33).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**2 - 68238*d - 10077320 = 0. What is d?\nAnswer: -68090, -148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -3.5. Let i = 366.83 - 366.88. What is the fourth biggest value in j, -5, 1\/3, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0282*-8487\nAnswer: -239.3334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 5 + 85 = 0. Let b be 32\/n - 4\/6. Which is smaller: b or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*g - 192 - 25*g + 18*g as o*g + h and give h.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1231 - -73?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 5  (b) 20  (c) -2\/5  (d) 2\/23  (e) 3\/11  (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 - o**2 + (0*o**2 - 2*o**2 + 4*o**2)*(-3 + 0 + 0) to w*o + m + t*o**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -606206*j**3*y + j**2*y + j**2 + 1829*j*y - 2*y + 273 wrt j.\nAnswer: -3637236*j*y + 2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 269821 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.14 - 0.36. Sort -5, -3\/7, l.\nAnswer: -5, l, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/14*(-49)\/(-14). Let g = 3413 + -4975. Is (g + y + 1)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 143 times 9617.4?\nAnswer: 1375288.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 259*i + 3732 = -260*i - 725*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 5*o + 7*o + 13 + 2*o**3 + o**3 to m*o + d + x*o**3 + q*o**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/6)\/(216\/81) + 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183 a factor of 18521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 408 + -413. Let z(a) = 18*a**2 + 6*a + 2. Is z(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 232234567?\nAnswer: 47, 4941161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of -b**5\/15 + 11*b**4\/3 + 50*b**3 + 139*b**2 + 1. Determine u, given that h(u) = 0.\nAnswer: -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 215125932 and 1092.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 10*m**2. Let w(g) = 27*g. Calculate a(w(i)).\nAnswer: 7290*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 5*u**2 - 13*u - 84. What is the remainder when f(10) is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 - 26. Let g = 0 - 2. Let t be 1 + 1*(-9)\/21. What is the nearest to 1 in g, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 335\/10 + ((-3)\/(-2) - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/((-315)\/10))\/((-12)\/(-21)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 PM and 5:07 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 2*n + 58 = 0, -3*v + 172*n + 87 = 410*n - 239*n for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6797*i*s**4 - 2*i*s**3 - 23*i*s + 51688*i + 129*s**2 - 16 wrt s.\nAnswer: -81564*i*s**2 - 12*i*s + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 - 7. Suppose 0 = -z + 3*c + 21, -4*z + 6*z = -5*c - f. Find the third derivative of 37 - 37 + 2*w**z - 3*w**6 - 4*w**2 wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((6\/40)\/(((-126)\/56)\/(-9))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, 8 in increasing order.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 502739 is divided by 304?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23778?\nAnswer: 2, 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -67*i - 10. Let h(x) = 56*x + 9. Let z(w) = 6*h(w) + 5*j(w). Suppose 2*n - 1 = r, -n + 3*r = 4*n. Let f be z(n). Solve 0 = -f*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/6 - (-6645)\/180 - 1\/(-4). Which is greater: f or 406\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + -24. Let y = 29 + m. Is 9 a factor of 9\/((-2 + y)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36918 - -36923. Sort 9, x, -5, 11.\nAnswer: -5, x, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*29\/((-435)\/(-330))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1\/83 + 171\/415. Let g = 1.7 + -2. What is the nearest to c in -3\/4, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101011000101100000110001 (base 2) to base 3.\nAnswer: 210020211111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(500))*4 - sqrt(500) - (sqrt(500)*5 + -3))**2.\nAnswer: 360*sqrt(5) + 2081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-22)\/(-4) - 1)\/(24*(-8)\/(-36352)). Calculate the highest common divisor of v and 3124.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291451786?\nAnswer: 2, 145725893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50.21184um to nanometers.\nAnswer: 50211.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - (5 - 5 - (-1635)\/(-150))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -188*s - 74 = -225*s. Factor -4\/13*d**s - 10\/13*d + 12\/13 + 2\/13*d**3.\nAnswer: 2*(d - 3)*(d - 1)*(d + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i. Let m(a) = -2*a + 810. Calculate m(j(b)).\nAnswer: 6*b + 810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 85064  (b) -1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(2299) + -1*sqrt(2299) + sqrt(2299) + 3)*-1*-5)**2.\nAnswer: 6600*sqrt(19) + 230800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -160*t**3 - 4*t**2 + 1087*t - 1087*t.\nAnswer: -160*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 - 6*u + 1. Let v(h) = -h**2 - 6*h + 2. Let s(z) = 5*n(z) - 4*v(z). Let m be s(-5). What is the first derivative of m + 7 - 8*t - 3 + 2 wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of -t**6\/120 + 7*t**5\/60 - t**4\/4 - 5*t**3\/2 - 63*t**2 - 5. Calculate z(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 2*g + 12 = 3*u, u + g = -9. Let p be (-9)\/15 - u\/10. Suppose 5*l - 4*z - 46 = p, -5*l - 4*z + 0 = -54. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of t**4\/12 - 5*t**3\/6 - 2*t**2 + 4*t. Let y be w(6). Which is the closest to -1?  (a) 4  (b) 0.1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.11896202 - -4.119. What is l rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 + 12)*(-6 + 0 + 1)*(-3*r - 1 + 1) as x*r + w and give x.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4bb98 (base 13) to base 11.\nAnswer: 96532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 20 = 3*o. Let s = 40 - o. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*f - 82*f = -4711842. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 979472707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 4*j - 2*j - 21, 25 = a + 3*j. Suppose -k - 16 = -4*z, -3*z - a*k = -16*k - 12. Solve 4 = -5*y - z*h - 3, 2*h + 7 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38 by -1.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-4\/9)\/l*l*l\/(l\/l**2*l))**(1\/9)*((l*l**(-2\/9)*l)\/l**(-6))\/(l\/(l**(-3)*l)*l\/(l\/l**0)) assuming l is positive.\nAnswer: l**(392\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000023197157 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -52 + 61. Suppose 140 = -5*a + 9*a. Calculate the remainder when a is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26864229?\nAnswer: 3, 7, 1279249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -6*p. Suppose 2*i + 2*i - 144 = p. Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*z + 20*z + 176 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 2. Let n = h + 0. Are n and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 6 = 8. Let o(w) = -w**3 - 7*w**2 + w + 4. Give o(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -782+-13234116.018\nAnswer: -13234898.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**5\/5 + 898*l**4\/5 + 4528*l**3\/5 + 5456*l**2\/5 - 3616*l\/5 - 7264\/5 = 0. Calculate l.\nAnswer: -2, 1, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.7 + -4. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 + 3*a + 1. Let r(i) = i**3 - 5*i**2 - 19*i - 5. Determine 5*j(g) + r(g).\nAnswer: g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 428598, -4, 21 in descending order.\nAnswer: 428598, 21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.361557 nanometers to millimeters.\nAnswer: 0.000002361557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 - 8. Suppose 3 = -3*l - 0, l = 2*j - x. Suppose -3*y = 9, j*y = -3*q - 2*y + 42. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -85*m**4 + 5*m**2 - 852*m. Let o(f) = -f**4 + f**2. Let v(h) = -d(h) + 4*o(h). Find the second derivative of v(z) wrt z.\nAnswer: 972*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 380\/57*(-180)\/120?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -4*2*sqrt(2299))**2 + (1*(1 + sqrt(1216)) + 5)**2 + -4.\nAnswer: 96*sqrt(19) + 148384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sxssxsxxsxxsxsxxss.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 649, 5923, 20971, 50917, 100885?\n\"Answer: 854*b**3 - 237*b**2 + 7*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -f + 480*f**4 - 473*f**4 + 4*f + 1 + (-3 + 3 - 2*f)*(f**3 - 4*f**3 - 4*f**3) as x*f**2 + g*f**3 + h + r*f**4 + s*f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -11*i**2 - 70*i - 15. Let h be w(-6). Is 0 - h - -7 - (-3645 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 6*j - 7. Let b be c(6). Let u = b - -43. Suppose 2*y = -2*y - 3*g + 157, u = y + 4*g. Calculate the remainder when y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28830 and 775?\nAnswer: 144150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 4:01 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 3217 + 1103. Let r = -95 - w. Is r a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(171)*-1*3 + sqrt(171)))\/(-3*(1*sqrt(81) + sqrt(81))).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 77*h**2 - 2*h. Let k(f) = -f**2 - 12*f - 3. Let u(j) = 5*j**2 + 80*j + 20. Let q(v) = -20*k(v) - 3*u(v). What is r(q(m))?\nAnswer: 1925*m**4 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 668172150 and 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 736099 to the power of 1\/2, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 71*l + 236. Let h be b(-3). Sort -3, h, 1, 3.\nAnswer: -3, 1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.7758 - 0.3758. Let g = -2 - -20. Let d = g + -15. Which is the nearest to 0?  (a) d  (b) 1\/2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, 4, -12, -0.9 in increasing order.\nAnswer: -12, -0.9, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - m + 2*m**2)*(2 + 2 + 2*m + 6).\nAnswer: 4*m**3 + 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(((-7)\/(63\/12))\/4)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 12:10 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-6)*8\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-184574)\/(-19236) - -95*(-10)\/100?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3 - 2 = -4*k, -3*k = 4*t + 6. Suppose -k*y + 3*y = 5*z - 55, -4*z = 2*y - 30. What is the lowest common multiple of z and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in j**4\/4 + 3*j**3\/2 + 11*j**2\/4 + 3*j\/2 = 0?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 + 3*x**2 - 4*x**2)*((-x + 4*x + 2*x)*(-1 + 3 - 5) + (0*x - 3*x + 2*x)*(1 + 1 - 1)).\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*y + 9 + 1 = 156*y - x, 45*y = 4*x - 225 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/584?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -8. Suppose h - c = -h. What is the third derivative of -h*z**2 - 3*z**2 + z**3 + 0*z**3 + 7*z**2 wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-9)*-62*-3. Let u be h\/8 + (-2)\/(-8). Calculate the greatest common factor of 20 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -80442, -80309, -80086, -79773, -79370, -78877, -78294?\n\"Answer: 45*f**2 - 2*f - 80485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/684 and -41\/12?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 13 + (-2 - 7) + -2 + 3 - -16\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 108 and 1134.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73708*r + 196610*r - 270320*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17e (base 15) to base 7.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -32  (b) -1  (c) 3\/7  (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 31327 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 720300 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*b**3*i + 5*b**3*w + 11*i*w - 7 with respect to w.\nAnswer: 5*b**3 + 11*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 4d?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*1*sqrt(171) + (sqrt(171) + (sqrt(171) - (-1*sqrt(171) - sqrt(171)) - sqrt(171)) + sqrt(171))*-5)\/((sqrt(225) - sqrt(225)*3)*-5))**2.\nAnswer: 3211\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3*w**3 + 7*w**2 - 2*w - 19. Suppose -40 = 6*z - 10. Is x(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4744 and -5?\nAnswer: 23720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + 3)**2 + sqrt(25)\/sqrt(80).\nAnswer: 289*sqrt(5)\/4 + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (0 + -1)) + 1 + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z + 5. Let j(l) = -3 + 2 + 4 - 5 + 1. Let s(b) = 10*j(b) + 2*w(b). Let o(q) be the third derivative of 3*q**4\/4 - 2*q**2. Determine o(s(m)).\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 4322.\nAnswer: 8644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 240 and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 325 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(1\/6))\/(90\/63765*109)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/48 and (-112 - -122) + 815\/(-78).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 + 626. Let p = 127 + y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1*sqrt(85)*-3 + sqrt(85) - sqrt(85)*-3*3)\/(sqrt(125) + (sqrt(125)*3 - sqrt(125)) + sqrt(15)\/(sqrt(9)\/sqrt(3))).\nAnswer: -39*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence igi when three letters picked without replacement from {q: 1, i: 2, g: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 4) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffffff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 738713 is divided by 1539.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -171 or -169?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 495 is divided by 82?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 3386000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*b - 2. Let a be (-6*5\/(-1980))\/(3\/(-4)). Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 122 (base 3) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**4 + 0*s**4 + s**4 + (s + s - 4*s)*(3 - 3 - 2*s**3) + 3376*s**4 - 53970*s + 53970*s.\nAnswer: 3381*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -1, 33 in increasing order.\nAnswer: -2, -1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 4575.\nAnswer: 1\/4575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 13, 6, -1\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**2 - 9*d**2 + d**2 + 0*d + 0*d - 2*d**2 + (0*d + 3*d - 2*d)*(-2*d - 4*d + 4*d).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -433, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/(-1) - 2)*-2. Let x = l - 2. Put -5, x, 1 in increasing order.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*w + 9*w - 180*w**2 + 5*w - 48*w + 19*w - 2 in the form v*w**2 + t + p*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/10)\/((-4)\/20). Suppose d + z*f - 27 = -2*d, 3*d - 4*f = -1. Solve -d*u + 0 - 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*b - 330 = 66*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 29049431833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 10*v - 4. Determine x(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 250271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4*(1 - -3)\/16. Let x(t) be the first derivative of -t**4\/3 + t**3\/6 - t**2\/2 + t - 2. Let z(s) be the first derivative of x(s). What is z(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -62*r**5*z - r**3*z + 2*r*z - 2*r + 2 wrt r.\nAnswer: -1240*r**3*z - 6*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 10  (b) -2  (c) -1  (d) 516  (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5598 - 5*f + 47*f - 803.\nAnswer: 42*f + 4795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b**3 + 13*b**2 + 8*b + 11. Let w be k(-6). What is the closest to -1\/4 in 0.3, 2, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.126 - 32.126. Let q = -29.29 - g. Round q to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 - 194*g**2 - 394*g + 391. What is s(196)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1112 - -1112. Solve 399*x - 401*x - 8 = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 3515*c - 428842. What is j(122)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 195733 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 b, 1 h, and 1 g when four letters picked without replacement from innihnnnbgigm.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*v**5 + 5096*v**4 + 206036*v**3 + 250268*v**2 + 24332*v - 24964 = 0. Calculate v.\nAnswer: -79, -1, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 75806, 151603, 227390, 303167, 378934, 454691, 530438?\n\"Answer: -5*v**2 + 75812*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2 - 31*p + 1 + 6*p. What is the tens digit of i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11308000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9547503?\nAnswer: 3, 7, 107, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 19*r - 5. Let w(i) = -54*i + 14. Let y(u) = -17*h(u) - 6*w(u). Let b(v) = 5*v + 4. Give -3*b(q) + 12*y(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 7*c**3 + 14*c**2 + 9*c - 25. Let j(x) = 3*x**3 + 7*x**2 + 5*x - 11. Let q(p) = 9*j(p) - 4*z(p). Give q(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.058 + -0.058. What is the second biggest value in -4, h, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -256 + 369. Let g = 451\/4 - k. Which is the second biggest value?  (a) -1\/26  (b) -5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -72 + 51. Let f be (3\/2)\/(i\/(-140)). Solve -5*w + 17 = 4*l, 5*l + w - 6*w - f = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -231 - -346. Suppose 26 = b + d - 0*d, 5*d + 54 = 3*b. Calculate the greatest common divisor of b and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - -3. Let o = x - 4. Suppose -o*c + 18 = -0*c. Solve 3*r + c = 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**5 - 24*t**4 + 380644*t**3 + 1142056*t**2 + 48*t - 1522720 = 0. Calculate t.\nAnswer: -310, -2, 1, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 154\/5  (b) -4  (c) -399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 1 - 4, 3*k + 4*s - 311 = 0. Let m = k + -78. What is the first derivative of -2 + 12 - m*y + 10*y + 13*y wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(175)*5 - 6*sqrt(252)).\nAnswer: -11*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -10*w - 282. Let l be f(-28). Let h be 4\/(-2)*(30 + 1). Let m be 2 - h\/(-14) - -2. Which is the closest to l?  (a) 0.5  (b) m  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.034494+0.08\nAnswer: 0.114494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-6)\/o*o*o*o*o**7)\/((o**(-3)*o)\/o**(-6\/7)))\/((o*o**3)\/o*((o**2*o)\/o)\/o*o)**5 assuming o is positive.\nAnswer: o**(-146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/5 + 2363592*j\/5 - 698320892808\/5.\nAnswer: -2*(j - 590898)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 39243816 divided by -57374?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 298.6338996 to 1 dp.\nAnswer: 298.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 1438 - 65. Let u = 235 + x. Let f = u + 4787\/18. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -75295.768 to the nearest one hundred.\nAnswer: -75300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3261663 - 32?\nAnswer: -3261705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-7))**(5\/7))**(-42) assuming x is positive.\nAnswer: x**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -12*p**2 + 4*p + 8. Let b(y) = 37*y**2 - 13*y - 26. Let d(a) = -4*b(a) - 13*r(a). Let h(m) = 2*m - 3. Give d(h(x)).\nAnswer: 32*x**2 - 96*x + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = s - 19, s - 18 = u + 9. Suppose 11*g = 6*g - 100. Let i = s + g. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 127539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**2 + 207*u + 2052.\nAnswer: 3*(u + 12)*(u + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -84.9 + 48.9. Let n = -36.16881 - -0.10481. Let h = n - f. What is h rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 4010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 7}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(22*16\/(-4224)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 11*m**2 - 2*m + 22. Let q be l(11). Suppose -3*z + 169 = -5*b, 81 = 2*z + 2*b + b. Suppose -v + q*v = -z. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 308 and 770.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1679734098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 672*d*g**6 - d*g**4 - d + 133*g**2 - 6*g wrt g?\nAnswer: 80640*d*g**3 - 24*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/33065616 and -73\/466?\nAnswer: 7704288528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**2 - 1359801*z + 61193070 = 0. Calculate z.\nAnswer: -1359846, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 16 + 3 + (-20 - (7 - 23)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 47 + -158?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 79.61 - 80. What is d rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/5 + 784\/280. Suppose -n*a + 3 = -2*w - 11, 0 = a - 2*w - 10. Calculate the greatest common factor of a and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179 = -231*l - 641 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -22a - -1?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 divided by -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2698.478 millilitres to litres.\nAnswer: 2.698478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (649 - 1705 + 498)*(-4*z + 1 - 1) - 2 - 3 - z + 3.\nAnswer: 2231*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {y: 4, w: 4, h: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 2:34 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of -1\/3*b**3 + 1\/2*b**2 + 0 - 6*b. Calculate m(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/(-6)*158625\/(-1410). Let r be 5\/(-3 - 32\/(-10)). Calculate the greatest common factor of r and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k + 54 = -7*k. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - 8*w - 26*w)*(2*w - w - 2*w) + 8*w**2 - w**2 - 2*w**2.\nAnswer: 38*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (5 + 0 + sqrt(847))*-4.\nAnswer: -44*sqrt(7) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 36 = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 33080, 36970, 40860, 44750?\n\"Answer: 3890*y + 29190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2.9 from -259.\nAnswer: -261.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 86525.577 milliseconds in hours?\nAnswer: 0.0240348825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 14 = 1. Suppose -k*s + 5 - 25 = 0. Sort s, -5, 4 in increasing order.\nAnswer: -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 + 16. Suppose 0 = -2*f - 3*i + i - 14, 3*f - 5*i + 29 = b. Let l be ((-10)\/f)\/((-1)\/(-16)). Solve -2*w = 4*p + l, -w - 3*p - 13 = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -1  (c) 4\/9  (d) 3\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 102\/((90\/4)\/3). Let n = -13 + p. Let b = -2\/63 + 67\/126. Put 2\/7, n, b in ascending order.\nAnswer: 2\/7, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18144241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 4*j - 18. Let i be x(5). Suppose -4*k = -2*k - i. Let m(h) = 7*h - 1. Calculate m(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 6) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 4 - 4)*(-180 - 60*y + 180)*(y**2 + 3*y**2 - 3*y**2).\nAnswer: 120*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**5 - 2*b**5 + b**5 + 3*b**2 - 3*b**2 + 2*b**5 + (-2 + 2 + b**2)*(b**3 + 3 - 3) + (-3*b**4 + 1 - 1)*(-59 + 59 - 17*b).\nAnswer: 52*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-1)*3055\/(-1222)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-555)\/370)\/(((-12)\/(-6))\/((-24)\/(-6)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -196, 100, 860, 2084?\nAnswer: 3772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28814364 a multiple of 1901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 153526 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 33*n**2 + 218*n - 236. What is u(-11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103 - p - p - 136 + 371 - 132.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/5, -1, 1\/3, 0.29, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 6 = 3*x - 2*f, 4*x - 4*f - 4 = 0. Suppose -z + 0*z + 11 = 5*w, 8 = x*w + z. Let g(c) = c - 3. Let r be g(w). Solve r = -2*k + 7 - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 44, 61, 138, 305, 592, 1029, 1646?\n\"Answer: 5*g**3 - 18*g + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2586498, -2586623, -2586748, -2586873?\nAnswer: -2586998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4202.14 * 1\nAnswer: 4202.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + -975.\nAnswer: -974.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 268 a factor of 695745420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + p - 5 = 0, p = 17*m - 10*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (0\/70)\/(3*2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/13  (b) -0.5  (c) 3  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16639 = 5*b - 45*s + 47*s, 2*s + 13340 = 4*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/3*(-333)\/(-222)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**2 + 18*b**2 + 1 - 13*b**2 + 3*b**3 in the form x*b**3 + j*b + o*b**2 + u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30007804 divided by 4.\nAnswer: -7501951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35382928.199893 - 35382949. Let t = 20.8 + v. Round t to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**3 + 442*x**2\/7.\nAnswer: x**2*(35*x + 442)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 108316934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1\/s**(2\/13))\/((s*s**(1\/2)\/s)\/s)**10 assuming s is positive.\nAnswer: s**(76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 71*3\/(2 - -1). Let l = 178 - j. List the prime factors of l.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 12:09 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.4 + 0.2. Let k = -58\/5 - -184\/15. Which is the third smallest value?  (a) -2\/19  (b) k  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.07, 158, -30\/13 in ascending order.\nAnswer: -30\/13, -0.07, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10683*a**6 + 138*a**5 - 2838287*a**2 + 1 wrt a.\nAnswer: -1281960*a**3 + 8280*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (14 - 6 - -49) - (82 - 98).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = m + 5*n - 32, n = 3. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/834437 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 2*o - 13 = 0, o - 2*o + 1 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 1:01 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k - 3. Let x(t) = -t**2 - 1. Let c = 26 - 27. Let d(w) = c*h(w) + x(w). Give d(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 7*t**2 + 4*t - 7. What is f(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3 = -6. Find the third derivative of -2*a**2 + 3*a**2 + a**2 + 7*a**o - 3*a**3 wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 3*k - 5*o, 273*k = 275*k - 6*o + 26 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + 153. Suppose -v - v = -w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 + a + 1. Let c(r) = 4*r**2 - 9*r - 2. Let k(b) = -c(b) - 3*x(b). Let p be k(4). Solve 0*l - p = l - o, o - 4 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/(m*m**(-2\/21))*m*m*m*m**(-3\/5))\/((m*m**10)\/((m\/((m\/m**7*m)\/m*m))\/m)) assuming m is positive.\nAnswer: m**(-158\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 536063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1839199 greater than or equal to 25.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 0)*(l - 2 + 2)*(-5 + 4 + 2 + (-3 - 2 + 3)*(-2 - 24 - 15)).\nAnswer: -166*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 4522 + 12*o + 10*o - 2*o**2 - 4503. Determine s(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*h + 82*h - 12 = 0. Solve -2*z - 4*m = -28, 6*m - 32 = -3*z + h*m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of 4*m + 1\/2*m**2 + 1. Suppose -h = 4*n + 25 - 4, 0 = -3*h - 3*n - 27. What is p(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-35946 - 1)*(-9)\/((-9)\/14). Let j = i - -10258. Round j to the nearest ten thousand.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7905 and 1488?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/(-4)*88\/(-66). Sort 0, 1, v, 4 in increasing order.\nAnswer: 0, 1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16001636 divided by 46652\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-90))\/((-1*2)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1699897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (11 - 17) + 5 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f = -243 + 285 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*u + 10*u + 5*n - 22, -4*u - 7 = n. Put u, -1, 0, -5 in decreasing order.\nAnswer: 0, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of -2*f**4\/3 + 7*f**3 + f**2 + 101*f. Calculate the remainder when 67 is divided by q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, -213, -5 in increasing order.\nAnswer: -213, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41586838.\nAnswer: 2, 20793419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 4. Let r = j + 9. Suppose h = r - 2. Solve n + h = -t, -1 = -n + 6*t - t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*n + 340 = -98*n. Let v = -29 + n. Let j = -33 + v. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.05, 0.5 in descending order.\nAnswer: 2, 0.5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -31*a + 1. Let l be m(-1). Let s(r) = 3*r**2 - 6*r - 16. Suppose -87 = -10*o + 13. Let w be s(o). What is the highest common divisor of l and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 740 + 28830 + 1864 = 2418*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x + 3. Suppose -2*b - 70 = -16. Let a be (-20)\/6*b\/15. Suppose -3*d - a = -d. What is g(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/(-8)*(-460)\/345\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -140 + 156 + (-3 - -2) + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p\/((((p\/(p**(-1\/13)*p*p)*p)\/p*p)\/p*p)\/p))\/p*p**(-18)*((p**(2\/21)*p)\/p)**(-2\/91))**11 assuming p is positive.\nAnswer: p**(-337997\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -13*t - 184. Is h(-22) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4011, -4017, -4023?\n\"Answer: -6*a - 4005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16840760 divided by 4210190.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - (1 + (0 - 2)). Let j = -6 + t. What is the units digit of 5 + (-1 - (-1 + j))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-158*s - 122*s + 51*s)*(-7*s + 7*s - 2*s**4).\nAnswer: 458*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 2*m + 1 - 5 = 0, -m + 2 = 2*a. Suppose a = 25*t - 20*t - 30. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 141.4 - -53441\nAnswer: 53582.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + 26 - 33 - 2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(1\/6)*(k**2*k)\/k*k*(k\/(k**2*k))\/(k*k**(-2)) assuming k is positive.\nAnswer: k**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26124, -26124, -26126, -26130, -26136, -26144?\nAnswer: -26154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/((-90)\/(-9))*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12204 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 255 and 816.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29946572.\nAnswer: 2, 421, 17783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-10*(-5)\/10)\/(2\/(-16)). Let t be (-2)\/(x\/675) - (-3)\/12. What is the closest to 0 in -0.5, -5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k**2 + 23*k + 968. Calculate x(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/4 - (-21)\/(-2). Let k(f) = 13*f**3 + 2*f**2 + 2*f - 1. Let o be k(-2). What is the common denominator of (o\/5)\/((-36)\/m) and -15\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g = -9*g + 3, f + 2*g = 6. Let k(d) = d**3 - 5*d**2 - 9*d + 58. Let u be k(f). Solve -u*j - 5 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1453879391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53988294?\nAnswer: 2, 3, 17, 61, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 + 74. Suppose v = 4*p - h, 5*p + 0*p + 3*v = 51. What is the highest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u**2 - 10*u + 3. Let g be a(-6). Let n be 2 + 1740001 + 6 + g. Round n to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i + 4*i + 74*i**3 - 63*i**3 as o*i**2 + m + y*i + x*i**3 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 135738267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 104796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2685, 2686, 2687, 2688?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.277429 times -141?\nAnswer: 39.117489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -4102402\/7 less than -586056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -74327, 0.04, -0.1 in increasing order.\nAnswer: -74327, -0.1, 0.04, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 37 = -2*b, 85 = 5*b - 3*v - 2*v. Suppose 2*c - 3*w = 2*w + 27, 3*c + 4*w - 6 = 0. What is the remainder when b is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16510 (base 7) to base 8\nAnswer: 11147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 4. Let v(r) = -2 + 1 + 0. Let p be (-2)\/11 - 48\/(-22). Calculate p*v(g) + i(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/16 and 37\/257920?\nAnswer: 257920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 - 13*a**2 - 6*a - 71. Give y(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 7:25 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -715 = -27*n - 931 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of -v**4\/24 - 5*v**3\/6 - v**2. Let i = 344 + -344. Suppose -15*h + 111 + 9 = i. Give y(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 4*g + 5*g)*(-2*g - 2 + 2) - 267*g - 67*g**2 + 267*g - 1 + 1 + 2*g**2 + (2*g + g - g)*(5*g - 2*g - g).\nAnswer: -67*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102 + 23*m + 14*m - 16*m.\nAnswer: 21*m - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -158383165.5 rounded to the nearest one hundred thousand?\nAnswer: -158400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -b2fe6?\nAnswer: -b2fe3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/(-9))\/((-1)\/(-69)). List the prime factors of (1 - t)\/3 + 2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.09 times -58169340\nAnswer: 5235240.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 0 - 12 - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 29722 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 9*q**2 + 22 - 12*q - 13*q**2 + 3*q**2. Suppose -2*d + 0*d - 26 = 0. Let i be s(d). Solve 5*l + 6 = -i, l + 1 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12190 - -14.216.\nAnswer: 12204.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s + 82*s**2 - 2*s + 94*s**2 - 5*s + 6*s.\nAnswer: 176*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k. Let y(v) = 8795*v**2. Give y(a(t)).\nAnswer: 8795*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 787*y**3 + 64176*y + 157834685?\nAnswer: 2361*y**2 + 64176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -155*v. Let p(w) be the first derivative of -5*w**2 + 163. Calculate p(a(k)).\nAnswer: 1550*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-1 - -1) - (16 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 5*r + 17 = c, 0 = 2*c + 5*r + 26. Put 1, c, 0 in descending order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*i = 9 + 69 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -373, -753, -1133, -1513, -1893?\nAnswer: -2273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 6 = 2*v, -2*b - 5*v = -10. Suppose -584 = -4*f - 3*s, b = 4*s + 16. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -83*o**2 - o + 3. Let l(h) = -14*h**2 - h + 4. Let s(t) = f(t) - 6*l(t). What is s(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((2*sqrt(441) + sqrt(441))\/sqrt(7))**2.\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 2. Does o = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggxxgxgxgx. What is prob of picking 4 g?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 131*o**2 - 3*o + 3. Is s(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.08  (b) 0.4  (c) 14  (d) 3\/7  (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 594576 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 - n**2 + n - 2. Give f(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1706*((-20)\/24 - 88\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9.9 and -8263.81.\nAnswer: 81811.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(6)\/(sqrt(2)*1))**2 + sqrt(3) + sqrt(27) + 4).\nAnswer: -21 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27 + 162. Suppose 6203 - z = 4*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - y**2 + 46*y - 85. Give n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 + 8*d**2 + 3. Let s be h(8). Let u be 18*110\/105*(-1)\/s. Is u > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -339 (base 10) to base 8.\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.1 - -1.7. Let d = r - -1.4. Put -1\/3, d, -4 in descending order.\nAnswer: -1\/3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -201*-3808.\nAnswer: 765408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, t: 4, i: 5}. Give prob of sequence iti.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5531.887 - -5532. Put -0.4, l, 1, -1\/3 in decreasing order.\nAnswer: 1, l, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7923.9917 - 7925. What is k rounded to 2 decimal places?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 6, -15 = -2*f + f + 12*f - 6*f - 5*k for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-1*(5*5*-2*sqrt(209))\/(-2*(sqrt(44) + sqrt(132)\/sqrt(3) + sqrt(44))\/sqrt(4)).\nAnswer: 25*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q = -7*q - 8. Suppose 9*s + q = 10*s. Suppose s*t + 63 = 173. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-594)\/132*50\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.34 less than -30.866896?\nAnswer: -13.526896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10885*f*s**2 - 12894*f*s wrt s.\nAnswer: -21770*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -9*b - 2. Let y be u(3). Let x = y - -59\/2. Suppose -37*d + 2 = -4*s - 39*d, 0 = 2*s + 2*d + 4. Is x < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -12280?\nAnswer: -6140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 1010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 445*m + 200 = 470*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 5*a + 19 = 0, m = -4*m - a + 36. Suppose 3*u - 8*u = m*u. Factor 0*k + 0*k**2 + 2\/9*k**3 + u.\nAnswer: 2*k**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 189 = 307*b - 362*b - 2053, -38 = -2*p + b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 123*h**2 - 924*h - 64. Give u(7).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b**4*m - 49*b**4 + 22*b**3*m - 144*b**3 - 107*b**2*m + 4*b**2 - b*m - 2*m + 225 wrt b.\nAnswer: -48*b*m - 1176*b + 132*m - 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of t**3\/2 + 7*t**2 + 25*t + 1. Let j be h(-4). Do 30\/11 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 6*d - 67. Let y(x) = -3*x + 34. What is -4*f(t) - 7*y(t)?\nAnswer: -3*t + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -4  (b) 3  (c) -122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 4*q - 7. Let o be i(7). Let r = -9 - o. Solve 0 = -5*h - r + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/1166316 and 10\/10539?\nAnswer: 3498948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - -2) + 66\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224 is divided by 128\/160 + (-56)\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46107?\nAnswer: 3, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-224))\/((6\/(-2))\/12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 351  (b) -2\/5  (c) 12  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2*0.04701\nAnswer: -0.09402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 226 + -228.07. Let t = -13.07 + 13. Let y = g - t. Do y and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -d**3\/3 - 3*d**2 - 6*d + 2. Let n be t(-4). Let g = n - -9. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -78 - 82. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -377 - -376.7. Let c = 8 - 4. Suppose -t - 7 - 6 = c*q, 5*q = -5*t - 20. Sort 0.1, m, q in ascending order.\nAnswer: q, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 8:33 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 11*d - 6*d. Solve -3*r + d = -12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 498 by 2.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 PM and 11:19 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/11  (b) 5  (c) 0.07  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 19\/9, 0.06, -18, 0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 179.85 + -173. What is g rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6824 by 1706.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/6 - 310\/(-12). Let c = -18 - -46. Let r = c - k. Solve 0 = 5*o + 2*w + r*w + 2, -4*o = 5*w - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 127*y**2 - 175 wrt y.\nAnswer: 254*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a + 2*a - 2*a)*(1 + 1 - 3) - 71 - 62 + 2*a + 119.\nAnswer: -a - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6317 - 6314. Let m(s) be the second derivative of 1\/17*s**2 + 0 + 1\/34*s**4 - 1\/17*s**d + 19*s - 1\/170*s**5. Solve m(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66242*p = 66163*p + 2212 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/((-2 - -2) + 1). What is the third derivative of q**4 + 4*q**4 - 2*q**4 - 2*q**4 - h*q**2 wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7058800 rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25.39 - -24.3. Let s = r + 1.0900268. What is s rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 6*n + 2. Let w(p) be the third derivative of 5*p**4\/24 + p**3\/2 - 5*p**2. Let l(t) = -3*h(t) + 4*w(t). Let k be l(-3). Is 2\/9 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 27, -14, -73, -156, -269?\n\"Answer: -j**3 - 3*j**2 - 25*j + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7759 - -8123. What is the highest common factor of 1508 and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -201571.54 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.078430624 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z**3 + 3*z**2 + 3*z + 2. Let y be v(-2). Let q = y + 10. Let g = -12 - -25\/2. Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4102823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*w + 35*w - 10 + 7 - 12 = -5*u, -3*w = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 42*r**2 - 32*r**2 - 3*r - 1 - 8*r**2. Let f(n) = 6*n**2 - 10*n - 2. Calculate 3*f(v) - 10*o(v).\nAnswer: -2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -45 + 42. Let k = 0.034 - 6.034. Sort -2\/5, 2\/5, k, c in ascending order.\nAnswer: k, c, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 0  (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/2 - (-178)\/28 and -115*(2 - 1)\/(-12).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/216 and 36\/90 + (-5262)\/(-9)*2\/(-840).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -11*x**2 + 72*x - 14. Let y(w) = -3*w**2 + w. Let l(c) = -a(c) + 4*y(c). List the prime factors of l(-27).\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -87\/13, 0.2, 5\/3?\nAnswer: -87\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*b*m**2 + b*m*t - 1783*b*o**2*t + m**2*o - 1104*m*o**2*t + 3*m*t + 3*m with respect to b.\nAnswer: 2*m**2 + m*t - 1783*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 58679400 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 minus -15893.6?\nAnswer: 15893.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 444 + -442. Put -0.3, x, 0.13, 3\/7 in ascending order.\nAnswer: -0.3, 0.13, 3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -2\/15  (b) -1  (c) 0.2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/14 - 264\/(-42). Let y = q + 4. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672\/176 + (-2)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 1:39 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -525?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2448 + 2431. Put -3, 3\/5, w in ascending order.\nAnswer: w, -3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06863 * 2.\nAnswer: -0.13726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 76\/36531 and -47\/8118?\nAnswer: 73062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 788506.6 days to minutes.\nAnswer: 1135449504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/((-270)\/12))\/(7 + (-451)\/33).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 9*l + 5. Let d(j) = 4*j + 2. Let u(s) = -5*d(s) + 2*p(s). Let b(v) be the third derivative of v**5\/12 - 5*v**2. Calculate b(u(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Solve 3891*w - 3886*w = 5*o + 35, 12*w + 56 = -2*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of 3607*d**7\/210 - d**4\/24 + 92*d**3\/3 - 3111*d**2. Find the second derivative of p(o) wrt o.\nAnswer: 43284*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56791 is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/((-5)\/8) + (28 - -89). What is the greatest common factor of l and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32, 131, 408, 953, 1856, 3207?\nAnswer: 5096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2357 times -248\nAnswer: 584536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11857 is divided by 247.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mix when three letters picked without replacement from yxykyxymrxxiirx.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 + 8*g + 106. Calculate r(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 95 + ((-5 - 5) + 19 - 15).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 227902011.\nAnswer: 3, 197, 385621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 5*f + 960 = 0. Suppose 5*q - 6*q - 9 = 0. Let o be -2 - q\/(-6)*f\/9. What is the greatest common factor of 75 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 344\/40 + 2 + -5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 + 21. Let t = 8.23 - j. Let w = 2.03 - t. Round w to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4\/4 + 13624*k**3 + 381423*k**2\/4.\nAnswer: k**2*(k + 7)*(k + 54489)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/16966152 and 53\/3234?\nAnswer: 186627672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -m**6\/40 + m**3\/3 - m**2 - 2. Let l(x) be the second derivative of g(x). Find the first derivative of l(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31.5 - 201.1. Let h = k - -233. Which is the second biggest value?  (a) 11  (b) h  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - 2. Let s be ((-1)\/n)\/(2\/18). Suppose q + 24 = s*q. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d**2 - 5 + d**2 - 3*d + 5 = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1575 = 1551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 156 and 812885736?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98*n + 82*n - 22*n + 76*n + 70*n.\nAnswer: 304*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 66\/(-54) + 1 - 46974956\/18. Let v = 1679720 + l. What is v rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304) + sqrt(19))*-3 + 4)**2.\nAnswer: -120*sqrt(19) + 4291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 46 - 37. Let j(m) = m**3 + 15*m**2 - 19*m - 21. Let x be j(-16). What is the highest common factor of x and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 389*d**3 - 24*d**2 + 190*d + 3. Let p(j) = -259*j**3 + 15*j**2 - 127*j - 2. Let b(t) = 8*p(t) + 5*s(t). What is the second derivative of b(g) wrt g?\nAnswer: -762*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 8*y + 11. Is z(5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 55 and 2123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 297324035*a**2*h**2*p**3 - 216*a*h**2 - 230422*h**2*p**3 - 2 wrt a.\nAnswer: 594648070*h**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1900)*2*6)**2 + -2.\nAnswer: 273598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18096 and 1167660?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -69.92 - -74. Let f = 2.57 - o. What is f rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4\/6 - p**3\/6 - 10*p**2\/3.\nAnswer: p**2*(p - 5)*(p + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8053 + 101*k + 8053)*(5 - 3 + 0)*(-k - 5*k + k) + k**2 - 2*k**2 - k**2 as s + r*k + o*k**2 and give o.\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -46*c**2*x + 5*c**2 - 22870*x**3 - 9870 wrt x.\nAnswer: -46*c**2 - 68610*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - 2810\/25)*-3. Let h = -321 + z. Is h bigger than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -75333 + 130679. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -520 (base 9) in base 4?\nAnswer: -12213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/10 - (-468)\/130) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 10)*(58 - 25*o - 58).\nAnswer: -150*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3859779 is divided by 4942.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a86834 - 18?\nAnswer: -1a86850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 352 - 349. Suppose -3*u = -n - 3, n - 3 = b*u - 2*n. Solve a + u*s + 1 = -0*s, 2*a = -s + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1\/((216\/(-27))\/(-10680))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309778 to the power of 1\/2, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111001110110011011 - -11?\nAnswer: 10111001110110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 156577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1021184 is divided by 13967.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/450*-35 - (7 + -1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 10*c - 7*c - 4, 2*n - 4*c + 2 = 0. What are the prime factors of (22\/(-44))\/(2\/n)*1732?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4 + -4)\/(-1*2). Let s be -2 - (-2 + 0 + -3). Solve -s*n + w*n - 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 PM and 10:43 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/4, -2\/19, 1\/3, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2656117685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1*34.651\nAnswer: -34.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 519 = -354. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -2*j + 10. Suppose j*v - y = 36, 2*v + 3*v - 52 = -3*y. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 902*s + 176 = 880*s. Let y(w) = 12*w - 5. Let h(b) = -12*b - 6*b + 5 + 1 + 2. What is s*y(m) - 5*h(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -10.6. What is the second biggest value in 2\/3, 2\/5, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 29*a**2 + 39*a - 143. What is the remainder when v(28) is divided by 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2840\/1400 + (-3)\/5?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-7\/3)*m*((((m\/((m\/m**(-5\/6))\/m))\/m)\/m)\/m)\/m*m*m*m**(-1\/3)\/(m*m**8) assuming m is positive.\nAnswer: m**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in 5, -0.1, 0.2, 164, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - 2*v**2 - 11 + 11)*(v + 5*v + 3*v) + v - v**3 - v.\nAnswer: -19*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/(-22) - (-8)\/(-44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -3\/4  (b) -8  (c) -2\/6751\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from udqjqdjddjqdq. Give prob of sequence dd.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 4*h**2 - 3*h - 7. Let z(x) = 3*x**2 - 2*x - 6. Let k(m) = 5*a(m) - 6*z(m). Is 25 a factor of k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(832)*1)\/(sqrt(44)\/(sqrt(11) + (sqrt(11) - sqrt(55)\/sqrt(5)))))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1677 divided by 80?\nAnswer: -1677\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**3 + 511918 - 6*n**3 + 4*n**3 - 511918.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of -y**4\/24 - 3*y**2. Let k be l(2). Suppose 2*h = h + 2. Put -5, h, k in ascending order.\nAnswer: -5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2403*u - 932*u + 3822*u - 812*u.\nAnswer: 4481*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2564965 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1678861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.08 - -2.92. Let f be (-12)\/(-8) - 4\/2. Put f, 5\/2, t in increasing order.\nAnswer: f, 5\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 - 24*n**2 + 47*n - 552. Calculate f(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 102 = -1017. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= 69\/418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y. Suppose -f + 2 = -1. Let b = -9 - -11. Suppose -5*k = -5*i + 5, 24 = -b*i - f*k + 6. Give j(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10900475, 21800947, 32701419, 43601891?\nAnswer: 54502363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 1 + 9 = 2*j, y = 0. Find the second derivative of -n**j - 28*n**2 + 17*n + 0*n**5 + 28*n**2 wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 656219 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 9*v**2 + 6. Let i = -7 + 25. Suppose 0 = -9*l + i - 63. Let j(c) = -8*c**2 - 5. Let q(x) = l*f(x) - 6*j(x). Let s(n) = 2*n. Give q(s(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2664 + 2682. What is the greatest common divisor of 9162 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -530 times -0.4?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((5*(sqrt(130) - (1*sqrt(130) + sqrt(130))))\/(-1*sqrt(490) + sqrt(10)) - (2 + sqrt(1573) + 0 + sqrt(1573))*4)**2.\nAnswer: 4184*sqrt(13)\/3 + 3558073\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 + 224 = 5*f. Let z = f + 19. Suppose -403 = -5*b - z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -5*l + 3*l**3 + 2*l + 0*l + 2*l**2. What are the prime factors of t(2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -13. Let w(r) = -1 + y*r - 2*r + 3. Suppose -3*s - 3*l = 3, -5*s + s - 5*l - 3 = 0. Calculate w(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 0.387?\nAnswer: -0.0774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10734 + 10842. Suppose 0 = -5*k + 5, -n - 643 = -4*n - 4*k. Let y = n - v. What is the greatest common factor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*i + 939 = 38*i + 87*i - 756 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 10023013?\nAnswer: -10023020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 10\/117?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 - 2) + 3 + 0. Let t be 0\/((-5 - f)\/(-3)). Let q = t + 0. Is -1\/5 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 129506 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -1\/3, -0.5, 1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - (sqrt(252) + 0)))**2 - sqrt(7)*-1*5) + (sqrt(28)*2)**2*-4 + -6*(sqrt(28) + -1 - sqrt(28))**2.\nAnswer: -202 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**2 + h + 42. Calculate x(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2280 divided by -10.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.6 + -9.3. Let p = -74 + 78.32. Let z = l + p. What is z rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nbbbrbnrnnbrbnrb. What is prob of sequence rrn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-28)\/5 + 4\/(-10). Let m be (-50)\/114 - 2\/v. Put m, -4, 5 in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 129*b - 3 + 432*b + 3 + 120*b in the form p + m*b and give m.\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 7:14 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1258481 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 + 10*g + 25. Let u be r(12). Let o(x) = 5*x. Let k be o(u). Solve -5*p - k = 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + 9*t**2 + 10*t + 8. Is w(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5108, 10330, 15566, 20816, 26080, 31358?\nAnswer: 36650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3788874 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of 78*s**2 - 5*s - 21. List the prime factors of a(2).\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yioyiioioiioy. What is prob of sequence io?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30 - -25. Which is the closest to 2\/7?  (a) 1\/11  (b) k  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141165531 is divided by 12630.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 + 11*w + 21. Let l be s(-3). Let u(k) = 37*k**2 + 6*k + 22. Is u(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jir when three letters picked without replacement from {j: 6, i: 4, r: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 + 4*d**2 - 8*d**2 - 12.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and -353710.3?\nAnswer: -2122261.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7524?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12023216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-16 - (-19 - -9) - (-16 + 8 + -19)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -638.798 + -12.502. What is p rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 94 or 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 196693\/22 - 8938. Let x(l) = l**2 + 6*l + 2. Let j be x(-4). Calculate the common denominator of 34\/j - 2\/(-8) and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 65*u**2 + 7*u + 15. Let t be b(-4). Suppose -2*h + 317 + 431 = 0. Let v = t - h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/9876 and 121\/6?\nAnswer: 9876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = h - 33. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/1965, -0.2, 1\/3 in ascending order.\nAnswer: -0.2, 2\/1965, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1338221438?\nAnswer: 2, 669110719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3766 a factor of 699832856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 188 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*h - 301 + 301)*((-3 + 0 + 4)*(4 - 1 - 5) - 5 + 3 + 0)*(-77 - 9 + 21).\nAnswer: 5200*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*i + 12*i - 6. Factor 798*y + 380*y**2 - 882 - 4*y**3 - 298*y**2 + i*y**3.\nAnswer: 2*(y - 1)*(y + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 48*v - 1. Let u(d) = d**2 - 6*d + 12. Let z(p) = 2*p**2 - 11*p + 22. Let h(m) = 11*u(m) - 6*z(m). Give h(l(r)).\nAnswer: -2304*r**2 + 96*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - 5*n + 2. Let x = -326 - -341. Suppose -2*k + 5*b = -83, -b = k - 0*k - 31. Let a be k\/(-10) - 9\/x. Calculate t(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -305, 5 in increasing order.\nAnswer: -305, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 30593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.902878 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1100, 2207, 3314, 4421, 5528, 6635?\nAnswer: 7742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4265717, 8531486, 12797255, 17063024, 21328793?\n\"Answer: 4265769*f - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, p: 1, j: 1, k: 1}. What is prob of sequence sk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1673*a + 67 = 1824*a + 243 + 579 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 3)*(-256*b**2 - 5*b**4 + 256*b**2) - 2*b**4 + 4*b**4 - 3*b**4.\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 606*j + 7. Suppose -x = 148 - 150. Is z(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**2 - 43*d + 25. Let a be i(21). Calculate the highest common factor of 44 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m*m*m\/m**(2\/7))\/m)\/(m*m**(-2\/9)))\/(m**(-2\/13)*((m*m**11\/m*m)\/m*m)\/m))**(-3\/2) assuming m is positive.\nAnswer: m**(4058\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-83 - 1) + -3 - -2 - (-131 + (65 - -56)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 - 22. What is the remainder when 9 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 11) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of 11*x**4\/12 + 1536*x. Suppose 0 = -2*m + 4*b, 5*b - 6*b = -3. Let f(u) = -4*u - u + m*u. What is f(y(g))?\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4609.6 + 43123455?\nAnswer: 43118845.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - t - 1 = 0, -9 = -5*z - 3*t - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-5 + 2 - -1) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j - 69 + 69.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 95000046 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 744*b**4 - 15680*b**3 + 2*b**2 - b - 9207747.\nAnswer: 17856*b - 94080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 10*a**3 + 34*a**2 + 32*a + 8 = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -20, -32, -58, -104?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1154207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 715 a factor of 31986955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/(-16))\/((-9)\/8). Which is the closest to -8?  (a) 1\/7  (b) y  (c) 3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/6 - 58*n\/3 + 110.\nAnswer: (n - 110)*(n - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**2 + 649*x - 591. Let p(b) = -2*b. Determine u(p(z)).\nAnswer: 8*z**2 - 1298*z - 591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -20, 0, -2, 20, 1737 in descending order.\nAnswer: 1737, 20, 0, -2, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 62459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 73*z**3 - 2*z**2 - z - 3. Let a(j) = -366*j**3 + 11*j**2 + 5*j + 16. Determine -2*a(l) - 11*w(l).\nAnswer: -71*l**3 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 57*o + 1242. Determine m(-22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/416 and -51\/208.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 8, v: 4, y: 4}. What is prob of picking 1 v and 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -o**5\/120 + o**4\/8 - o**3\/2 + 2*o**2. Let s(z) be the first derivative of u(z). Let b be (-23)\/5 + 2\/(-5). Calculate s(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/680255 and 9\/18020.\nAnswer: 2721020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 17\/10 of a milligram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**3 - 80*t**2 - 1252*t - 3472.\nAnswer: 4*(t - 31)*(t + 4)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2518566367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-15300096)\/(-504) + 20\/(-6). Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkmmmmkkkkkkkkkm. What is prob of sequence kkmm?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -1\/96, -0.4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2016*q**4 + 215*q + 812577 wrt q.\nAnswer: 8064*q**3 + 215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -398, 1, -3, 14 in increasing order.\nAnswer: -398, -4, -3, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 152 - 757\/5. Which is the closest to -4?  (a) x  (b) 3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/21, 1, -1\/7, 113, -1\/4 in increasing order.\nAnswer: -1\/4, -4\/21, -1\/7, 1, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5244926 (base 11) in base 14?\nAnswer: 13291cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1736, 1754, 1850, 2060, 2420, 2966?\nAnswer: 3734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 10. Let n be 61 + -64 - (-1 + (-1 - -1)). Is n at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23 and 1633?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2. Let u(m) be the third derivative of -4*m**5\/5 + 31*m**2. What is u(c(v))?\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**2 - h**2 - h**2 + 4*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l**2 - 7*l - 2. Let t(b) = 8*b**2 + 5*b + 3. Let h(u) = -2*c(u) - t(u). Calculate h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*f**3*u**3 + 127*f**3*u + 3*f**2*u**3 + 1810*f**2*u**2 - 4344*f*u**3 wrt u?\nAnswer: 18*f**3 + 18*f**2 - 26064*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 3*q**2 + 110*q + 28. Let k be i(-12). Solve -k*j - 2*r + 16 = 6, -5*j = 5*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and 2448898538.\nAnswer: 2448898537.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00004363833 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 94551 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 210584 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -11*x**3 - 20*x**2 + 6*x + 39. Let l(p) = -16*p**3 - 30*p**2 + 8*p + 58. Let v(g) = 7*l(g) - 10*y(g). Solve v(c) = 0 for c.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164*k = -1280*k - 393*k - 24144 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*g + 3*g - 6*g)*(-2*g**2 + g**2 - g**2) + 11 - 3*g**3 - 11 in the form c*g**2 + d + b*g + o*g**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*t - 24244 = -9749. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20248839 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/6, -2383, 14, -1, -7\/146, 2 in ascending order.\nAnswer: -2383, -1, -5\/6, -7\/146, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 141*w**4 + 23 + w - 2*w**2 + 147*w**4 + 143*w**4 - 429*w**4 - 3*w in the form b + j*w**4 + u*w**2 + i*w**3 + o*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -5*n + 2590, -5*n + 2*n = 4*u - 1552. List the prime factors of n.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 7*n - 58. Let o be t(17). Let u = o + -425\/7. Which is the third smallest value?  (a) 0.3  (b) 3  (c) -0.5  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -143 - -124. Let q = f + 21. Put -3, 5, q, -49 in increasing order.\nAnswer: -49, -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(2\/9)\/(x\/x**(-19))*(x*(x*(x*x**(-6\/11))\/x)\/x)\/x**(-3\/25) assuming x is positive.\nAnswer: x**(-47528\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o**2. Let n(b) be the second derivative of -43*b**4\/12 + 28*b. Calculate n(a(l)).\nAnswer: -172*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8\/(-10))\/(4\/(-20)). Let a(c) = r*c - c + 6 - 1 - 5*c. Give a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2603997 = t, 4*a = -t + 6*t + 2604015. What is a rounded to the nearest 10000?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.065967 times -0.13?\nAnswer: -0.00857571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007538 to 5 decimal places.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 4*z + 14924, -8*z + 11205 = 3*r - 7*z. List the prime factors of r.\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 + -9. Let z be 3 + -1 + (-4 - -2). Let y be 9\/(-3) + (3 - z). What is the closest to y in f, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 165*m**3 - 75*m**2 - 72*m + 2. Calculate k(-1).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 621 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/2*10769\/(-8811))\/((-2)\/(12\/3)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -277*j + 1374 - 337*j - 405 - 234*j.\nAnswer: -848*j + 969","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1184*p = -1182*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10134024539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 610746139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - s)*(703*s**2 - 811*s**2 + 845*s**2 + 805*s**2) to the form j*s**3 + i + m*s**2 + g*s and give j.\nAnswer: -1542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -6026, 4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 5  (b) 0.3  (c) -1  (d) 44  (e) -693\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(96)*-2*-5)\/(sqrt(22)\/sqrt(176)))**2.\nAnswer: 76800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -31.681402115.\nAnswer: -31.881402115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1049140.\nAnswer: 2, 5, 52457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.18, -21, -39 in descending order.\nAnswer: 0.18, -21, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9096798 decades to millennia.\nAnswer: 0.009096798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 911795498?\nAnswer: 2, 31, 1259, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 163aa + 85?\nAnswer: 16440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 0*f + 5\/2*f**2 + 5. Let z(d) = 11*d. Calculate 7*k(h) - 3*z(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 - 3. Let h be i(0). Let v be 0\/(2 - (-3 - h)). Solve -p + v = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 12, -k + 5*d + 39 + 2 = 0. Let m = 35 - k. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 12:28 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 940 is divided by 88?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1071\/7 + (0 - -2). What is the highest common divisor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 75143*z - 3*z**3 + 4*z**3 - 1325 + 7*z**5 - 1026 - 75141*z - 42*z**4 wrt z?\nAnswer: 140*z**3 - 504*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 2*b - 4 = 0. Let t(v) = -90*v - 98*v + 184*v. What is t(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 4*i - 8574, -5*h - 118*i + 42820 = -113*i. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 e when three letters picked without replacement from {y: 3, r: 7, e: 1, g: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2400 + 50325?\nAnswer: 53025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -436537929 and 5?\nAnswer: -2182689645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 2331 divide 2762445522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 96 = -2*k, k = -5*v + 3*k - 160. Let m be 26*(85\/10 - 6). Let o = m + v. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, l: 12, y: 1, q: 4}. Give prob of sequence qqq.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 153 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -2*t**2 + t + 6. Let r be h(-2). Let i be (-1 - (-956)\/4) + r. Suppose -4*w = -2*w - i. Round w to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, -8, 61, 5, 3, 2 in increasing order.\nAnswer: -8, 2, 3, 5, 24, 61","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Is 1177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - 24*k + 17. Let u(m) = 6*m**2 - 97*m + 67. Let p(l) = -9*d(l) + 2*u(l). Is p(-18) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1992.000005014 - -1992. Round v to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-6*(1*(sqrt(176) + 0) + (sqrt(176) - -2*(sqrt(176)*-5 + sqrt(176) - sqrt(176))))*6*4)**2.\nAnswer: 233570302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-2*f + 4*f - 4*f)*(17 - 10*f - 11 + 2).\nAnswer: 40*f**2 - 32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-6)\/(-12) + (-30)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 3) + 2 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 0, -66*i = 4*k - 68*i - 8. What is the remainder when 12 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 497, 500, 493, 470, 425, 352?\n\"Answer: -l**3 + l**2 + 7*l + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*k + k**3 - 337*k + k**3.\nAnswer: 2*k**3 - 312*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 589 - 591. Let a(x) = -5. Let z(p) = p + 10. Give t*z(s) - 5*a(s).\nAnswer: -2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of -5*l**6\/6 + l**5 + 15*l**4\/2 + 10*l**3\/3 - 25*l**2\/2 - 15*l - 66. Determine s so that g(s) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -4*r**2 - 13*r**3 + 23 + 3*r + 2*r**2 - 20. Let c be n(-2). What is the units digit of c*(-6)\/27*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -2, 311, -12, 3, 2 in descending order.\nAnswer: 311, 3, 2, -2, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + (18 - (20 - 11))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1662979632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(3\/6*(-42)\/9)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-484)\/6)\/((-22)\/5775). Suppose 11*r - i = 10736. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 560*h**2. Let y(b) = -b. What is p(y(t))?\nAnswer: 560*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1662951 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-18)\/45)\/((-2)\/10). Suppose -g = p*v - 2*g - 12, 4*g = -16. Solve 0 = v*b + 4*u, -b - 3*b = -5*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jsf when three letters picked without replacement from fjjsj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 3*n - 2*n + 2 - 1. Let b be v(1). Solve -2*l + 4 = b*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + a - 5*a = -5, a + 16 = 5*d. Let o(l) = l**3 - 3*l**2 + 3*l - 3. Let f be o(d). Solve -f = 4*v - v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 5*b**3 + 41*b**2 - 10*b - 66. Let i(j) = j**3 + 8*j**2 - 2*j - 13. Let s(u) = 2*g(u) - 11*i(u). Let x be s(-6). Does 11 divide (-2)\/4*x*44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 57 + 20 = 4*m, -3*w = 9. Let n = m - -9. Solve -4*j = -5*a - j + 20, 2*j = -n*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 31 in -1, -4, -1\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 6*x - 4*p - 27 = 0, 5*p + 24 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**17*i*i)**4*(i**(-1\/7)*i)\/((i*i\/(i*(i\/(i**(-25)\/i))\/i))\/i) assuming i is positive.\nAnswer: i**(720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 135 = 10*q. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 12 - -4 - (3 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3891)\/6)\/((-3)\/6). Let z = -564 + m. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103699157257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 8, 4, -4, -7 in descending order.\nAnswer: 8, 4, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 33, 34, 35, 36, 37?\n\"Answer: m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -743 = 23*l - 1134. Solve 0 = -l*z + 23*z - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20366 + 815*b - 20364 - 672*b**3 + 40730 wrt b?\nAnswer: -4032*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582.6 rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -11*x - 2. Calculate m(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 107896 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 9*g**2. Let d(o) = 35*o**2. Calculate d(z(f)).\nAnswer: 2835*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -95 - (3 + (-20 - -22) + (5 - (6 + 4)))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/11 and 71\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1855776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 8\/3, -1\/2, 0, -0.3, -83?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + 18*l**2 - 29*l - 149. What is the units digit of a(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 725 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 (base 10) in base 7?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*w**5 + 86*w**3 + 657*w**2 + 304097735*w wrt w?\nAnswer: -180*w**3 + 516*w + 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 23104\/3 + 22496\/3*c - 604\/3*c**2 + 4\/3*c**3.\nAnswer: 4*(c - 76)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*h**2*l**5 - 10*h**2*l + 17*h*l**2 - 2*l**5 wrt l.\nAnswer: -120*h**2*l**2 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7493*f*h*w + 2481068*f*w - 23*h*w + 3*h - 6*w wrt h?\nAnswer: -7493*f*w - 23*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4500 and 7335.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.78 - 1.38. Suppose 4*v + 5*w = -v + 35, -2*w + 6 = -2*v. Let y(x) = -x**2 + 3*x - 1. Let l be y(v). What is the smallest value in 0, u, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -355929*v**2 - 355789*v**2 + 711747*v**2.\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -5, -27, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 58*a - 56 - 176 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17564 - 17496. Solve p*z = 72*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/7 and -28\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13119 is divided by 502?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 97. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 648 - 1303 - r**2 + 652 - r. Let t(c) = c**2 + 1. What is 2*l(z) + 5*t(z)?\nAnswer: 3*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 3, -46, -3, 6, -460, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(-20)*3*9\/198*-2\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 8*r - 4. Let y be f(4). Let q(v) = 2*v - 8. Let n be q(6). What is the greatest common divisor of n and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(2*sqrt(833) + (sqrt(17) - (sqrt(833) + 1 + sqrt(833))) + -2))**2.\nAnswer: -96*sqrt(17) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5 - 1) + (0 - 8). Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-8)*f*f)\/(f\/(f**(-40)*f))*f**(-32)*f*(f*f**34)\/f assuming f is positive.\nAnswer: f**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/3 + -3 + 2. What is the biggest value in 1\/3, -4, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3 - 5*u - 2*u + 11*u + 3*u + 3*u. Give p(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.12, -2, -1, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -418500 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*t + 22*t - 69 = 23*q, 3*q + 10 = -4*t + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from krrckrrkkkrkkkrrkkk.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-7))\/(7 - 528\/84).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of -15*f**7\/7 + 9*f**3 - 30. What is the third derivative of w(m) wrt m?\nAnswer: -1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 7693, 15746, 23813, 31900, 40013, 48158, 56341?\n\"Answer: w**3 + w**2 + 8043*w - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + 22 - (0 - (-5 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 3*n = -191, 12*n + 185 = 5*j + 7*n. Calculate the least common multiple of j and 180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 5.31174943761.\nAnswer: -5.31174943761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -7*l + 3. Let f(a) = -13*a. Give f(h(c)).\nAnswer: 91*c - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 14964 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (12\/(-135))\/((-693)\/(-55) - 13). Factor -u*t**3 + 4\/9*t + 0 + 2\/9*t**2.\nAnswer: -2*t*(t - 2)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 3:06 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/36 and -121\/313200.\nAnswer: 313200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s. Let i(j) = 13*j - 3 + 10 - 1 - 6. Determine g(i(r)).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 3:39 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 125691 and 6330.\nAnswer: 132021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2*d + 2 = -3*d, 0 = -3*d - 12. Let z be (-51)\/12 + 2 + (-3)\/(-12). Let c(m) = 5*m + 11. Let q be c(z). What is the closest to q in 0.4, f, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24926 and 9680?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -91, -203, -427, -793, -1331, -2071?\n\"Answer: -5*x**3 - 26*x**2 + x - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -5*v**3 + 529534*v - 529536*v + 10*v**3. Let j(o) = 6*o**3 - 3*o. Let w be (-9)\/(-15)*(5 + 0). Let n = 3 - 5. Calculate n*j(l) + w*u(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 928721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + a = 123, 7*n - 12*n - 4*a = -614. Calculate the remainder when n is divided by 60.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -431, -1706, -3829, -6800, -10619, -15286, -20801?\n\"Answer: -424*f**2 - 3*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 36864 + 4440?\nAnswer: 42414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 - 0.08. Let r = 8.98 + b. Let q = 9.00000074 - r. Round q to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + 7*m**2 + 6*m + 3. Suppose 0 = 6*j - 4*j + 12. Let y be h(j). What is the first derivative of -2*s**3 + 8*s**y - 3 + 7 wrt s?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(648)*-1 + sqrt(648) + sqrt(648)))\/(sqrt(726)*1 - sqrt(384)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80.56084 years to millennia.\nAnswer: 0.08056084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100, -369, -818, -1447?\nAnswer: -2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttjghhththh. Give prob of picking 2 h and 2 t.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 + 27 - (-1 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1233685 + 910459667\/738. Let a be (83\/82 + -1)*-3. Let m = a - x. Put -2\/15, -2\/5, m in ascending order.\nAnswer: -2\/5, m, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 196*j + 18095 = 15939 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**14\/o*o)\/o**24*o**(-14)*o**2 assuming o is positive.\nAnswer: o**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 35\/(-45)*(-2)\/(-7)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from cnonnrqlcqrq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - -3)\/1*1. Let p(z) = 33*z**2 - 14*z**n - 16*z**2. Let w(g) = -g**2. Determine w(p(r)).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1304, 1333, 1342, 1325, 1276, 1189, 1058, 877?\n\"Answer: -f**3 - 4*f**2 + 48*f + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 3)*(-4*b**2 + 2*b**2 + b**2) + 0*b**2 + 2*b**2 - 3*b**2 + b**2 - 2*b**2 + 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -381*b**4 + 9*b**3 - 60*b**2 - 45*b + b**3 - 5*b**5 + 401*b**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -16*p**2 - 8*p - 29. Let f(l) = -64*l**2 - 31*l - 112. Let v(x) = -6*f(x) + 23*r(x). Let t(o) = 15*o**2 + 2*o + 4. Determine 5*t(h) - 4*v(h).\nAnswer: 11*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -669*t - 681*t - 533*t + 620*t.\nAnswer: -1263*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 104, 106, 98, 74, 28, -46, -154, -302?\n\"Answer: -l**3 + l**2 + 6*l + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5031021547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 70*k**2. Let c(y) = 4*y**2 + 3. Determine c(i(h)).\nAnswer: 19600*h**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(180\/(-8)) - (-40)\/(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12*(-40)\/5760)\/((-36)\/9).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/6996 and -46\/1749.\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of -3*y**5\/110 - 13*y**4\/44 + 10*y**3\/11 + 3*y**2. Factor s(n).\nAnswer: -6*(n + 5)*(3*n - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 65463555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggxgggxggggxgggqq. What is prob of sequence gq?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 177*210\/2065 - (25 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-2820)\/423 + (-25)\/(-30)\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -129 - -95 - (-27 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from usuwhssssssssss. What is prob of picking 1 s, 1 u, and 1 h?\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 12 = 4*b - 9, 2*b - 9 = -f. Suppose l = 2*u + 2*l - 66, 0 = b*u - 4*l - 121. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 PM and 7:11 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 143 + -187. Let o be (-23)\/92 + 13\/c. Is -1 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 + -32. Let l = j + 1. Let r be (-36)\/(-27)*l\/(-2). Solve -5*x - r*b - 7 = 17, 5*b - 10 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 194.006 - 0.006. Let j = n + -193.99984. What is j rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -143*c - 31. Is x(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2040390 is divided by 707?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1151 = -129*y + 1608 + 3026 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 43, 0.06299, -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 146, 317, 492, 671, 854, 1041, 1232?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**3 - 3*b**3 + 0*b**3 + (0*b**2 + b**2 + 7*b**2)*(-2 - 2*b + 2 + (-2 + 2 - b)*(1 - 2 + 2)).\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/(-7)*(-3 + -4). Let h be 2 - (a*-2 + -1). What is the greatest common divisor of h and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.63 + -0.6. Let o = 4.03 - a. Let h = o + -3.996. Round h to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*g + 1392 - 1512 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1304379.358 rounded to the nearest 100?\nAnswer: -1304400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*((-28)\/6 + 2). Suppose 4*g - u + 24 = 0. Let b be (-1)\/(4 + -2 - 1). Put b, 2, g in descending order.\nAnswer: 2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -789*m**2*p**2 - 4*m**2*p - 40*m**2 wrt p?\nAnswer: -1578*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - u - 68 = 0, -2*u + 148 = 2*l - 7*u. Suppose 5*v = -d - 380 + 640, d - 260 = 3*v. Suppose 3*m - d = l. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8237*q = -594642 - 146688 for q.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-5))\/(((-399)\/70)\/19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(70)*-1)\/(sqrt(30)\/sqrt(3)*2) - (sqrt(252) + (sqrt(252) - (1*2*sqrt(252) - sqrt(252))) - sqrt(252) - (-6*sqrt(252)*2 + sqrt(252)))**2.\nAnswer: -30492 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4522, 9011, 13474, 17899, 22274, 26587?\nAnswer: 30826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -3*u + 6. Let i = -8 - -8. Suppose i*l - 5*l - 32 = -3*o, 0 = -5*l - 20. Calculate y(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-15)*10\/12*(-7 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 820\/861*18\/(-75)*-5.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3.48 and 1.835.\nAnswer: 5.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 + v**2 - 7. Let r(m) = 0 + 0 + 3. Let n be (6\/15)\/(-1)*5. Give n*h(d) - 5*r(d).\nAnswer: 2*d**3 - 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 3:45 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -603\/10 + 709\/5. Let o = h + -81. Factor 1\/4*l**2 + 0 + o*l.\nAnswer: l*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*z**2 - 3 + 5 + 2*z**2)*(5 + 12 - 4) in the form a*z**2 + k*z + s and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -413*b + 411*b + 16. Solve -10 - b = -9*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 10*p - 48. Let a be l(5). Suppose t - 2*t + 2 = 0. Suppose t*j - 3*j = -z + 7, a*z + 2*j = -2. Solve h - r = z, -5*h - 2*r = -14 - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(-2*sqrt(204) + sqrt(204))*-3)\/(sqrt(132)\/(-3*(sqrt(11) + sqrt(33)\/sqrt(3)))) + -1)**2.\nAnswer: 216*sqrt(17) + 198289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 6 = -0*s - q, 3*q = 6. Suppose 0 = 2*l - 5*m - s - 11, 6 = l - 3*m. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*(k\/((k*k**(1\/6)\/k)\/k)*k)\/k*k*k*k)\/((k*k**10)\/k))\/(k\/k**(-3)*k*k\/(k\/(k*k**(-2\/17)))*k))**(2\/3) assuming k is positive.\nAnswer: k**(-1127\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 4. Suppose 14 = 5*s + n, 5*n - c = 4*s - 18. Determine a so that -s*a**2 + 1 + a**3 - 4*a**3 + a**3 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 15*s - 18*s = -12, 0 = -2*o + 3*s - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2002 and 43484441.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - 7418085155?\nAnswer: -7418085154.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.1+439.65091\nAnswer: 439.75091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 10) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 634417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 476011*l**6 + 5*l**4 - 2*l**2 - 3877087*l?\nAnswer: 57121320*l**3 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 4*v + 16, -9 + 3 = 2*f. Let d(m) = 3*m**3 + 2*m + 1. Calculate d(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2424)\/(-20)*(-120)\/(-18). Is -6 + 7 - m\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 31 - 7)*(4 - 2 - 1)*(2*w**3 - 2*w + 2*w) + 11*w**3 + 7*w**3 - 3*w**3.\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6700)\/475 - -14 - (-2 - 462\/57). Let r = -7 - -12. Let w be r - 0 - (1 - 0). Solve w*v = 2*v - h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 71098683 divided by -4.\nAnswer: -71098683\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 154\/7*1\/(-2). Let t = 12 + n. Let u be -9 - -6 - 3\/t. Let h(v) = v + 3. What is h(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h + 1591 = 1671. Solve h*p = 15 + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + m. Suppose 0*n - 3*n = z + 8, -6*z = -3*n - 36. Let v(h) = -16*h**2 + 4*h. Give n*x(j) + v(j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -20*k**3 - 3*k**2 - 6. Let v(n) = -n**3 - n**2 - 1. Let s(m) = j(m) - 6*v(m). What is the third derivative of s(p) wrt p?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i - i + 0*i)*(-i**4 + i**4 - i**4) + (-2*i + 0*i + 0*i)*(-4 + 1 + 2)*(0*i**4 + 0*i**4 + 2*i**4).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 - (-1 - 3))*(-26)\/78. Solve -5*q + 2*q = -3*c, n = -2*q + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41 + 47. Suppose 0 = -7*q + 8*q - b. Let f(u) = u**3 - 7*u**2 + 5*u + 10. What is the units digit of f(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 569711291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 362029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - (3 - 2)) + 0. Suppose -k*h + 2*o + 18 = -o, 4*o - 4 = 0. Let a(p) = -p**3 + 7*p**2 - p + 1. Determine a(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 48 + 40, -5*h = -2*v + 26. Solve 7 = v*u - 2*j, 4*u - 6*j - 10 = -4*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-15)*(-15)\/(-18)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*r**3 - 9588 + r - 2*r**3 + 9580 + r - 35*r**4 + 2*r**3 to the form b*r + s + l*r**4 + p*r**3 + a*r**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 36 = l - 1639*v + 1635*v, 18*l - 5*v = 110 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 - 9. Suppose 0 = 4*o + n - 7. Factor -2\/5*j**3 + o*j**2 + 1\/5 - 1\/5*j**4 + 2\/5*j.\nAnswer: -(j - 1)*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of 997*p**4\/12 + p**2\/2 + 3*p + 3. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of r**5\/4 + 95*r**2. Let k(q) = 7*q**2. Give k(v(d)).\nAnswer: 1575*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42769813\/203 - -210685. Let n = m + 42\/29. Which is greater: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 = -v + 599. Suppose -4*k = -5*n - 826, -3*k - 2*n = -853 + 222. Suppose 5*o + 3*c - 1643 = 0, -2*o + 3*c + k + v = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 336*-0.2\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8 + 68201\/(-63))*-138 - (-1)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 259.2777 + -259.4. What is z rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (20\/(-11) + 2)\/(2664\/(-2052)) and -40\/7?\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f**3 + 0*f**3 + 9*f**3 - 16*f**3 + 11*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do 34854 and 29837 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -9731, -39002, -87787, -156086, -243899?\n\"Answer: -9757*y**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - o**2 + o + 10. Let y be g(0). Suppose -16 = -3*v + 4*s, -4*v + 11 = 4*s + s. Is y less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + r. Let o(b) = -b**2 + 2*b - 1. Let u(h) = 5*d(h) - 3*o(h). Let m(s) = 3*s**2 + s - 4. Let k(f) = 5*m(f) + 7*u(f). Factor k(n).\nAnswer: (n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2 = 4*m, 3*m + 2*m = -3*f + 2. Let h be (9 + -1)*(0 - m\/(-2)). Solve -p - 3*r - 17 = 0, -p + h*p = -5*r - 31 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2520, 3107, 3686, 4257?\nAnswer: 4820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 + 59*h + 29. What are the prime factors of m(-50)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f - 1. Let w(j) = -2*j - 3. Let t = 5 + -6. Let c(y) = 3*y**2. Let h be c(t). Let b = h - 2. What is b*w(o) - 4*u(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-2\/13)*w**4*w)\/(((w\/(w\/(w**7*w)))\/w)\/(w*((w\/w**(-2\/3))\/w)\/w)) assuming w is positive.\nAnswer: w**(-19\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -353212, 5, 1, 15, -4 in descending order.\nAnswer: 15, 5, 1, -4, -353212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -5634*x**3 + 205*x**2 + 12*x - 48. Let k(q) = -q**3 + q**2 - 2*q + 8. Let n(c) = 6*k(c) + l(c). What is the third derivative of n(s) wrt s?\nAnswer: -33840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 5*b - 1120, 2*b - 649 = -5*f - 184. Let y be (126\/1)\/((-2)\/15*-1). Suppose 0 = 5*w - b - y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 3*w + 2*w - 3, 5*n + 21 = -2*w. Let z = 7 + n. Suppose -z - 10 = -t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-2))\/((-1)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 29*t**3 - t**2 + t. Let f be b(2). What is the common denominator of -115\/12 and f\/40 + (3 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**3 - 6*w**2 + 26*w - 78. What is i(4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 362327 + 2?\nAnswer: 362330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y**2 - 17. Let x(d) = 6*d + 151. Calculate x(b(m)).\nAnswer: 18*m**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-44)\/(-10))\/((-2)\/(-5)). Let o(a) = a**2 - 10*a + 4. Let y be o(s). Solve -3*b + 19 = f - 1, -y = -2*b - f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 - (3 - 0)\/(21\/(-2422)). Suppose -5073 = -i*o + 347*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((3*sqrt(180)*2 + sqrt(180))\/sqrt(10))**2 + (sqrt(18) - (sqrt(18) + 0 + sqrt(18))**2) + -5 + 0 + sqrt(18) + sqrt(54)\/sqrt(3) + sqrt(18).\nAnswer: 12*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3790 is divided by 631.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u + 14. What is the least common multiple of 16 and m(8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 2 s, and 1 v when four letters picked without replacement from vvvveseveeevsv?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -4*k - 40, 2*k - 11 + 85 = 4*o. Let c be (34\/(-6) + 1)*o\/(-4). Solve 17 = -w + c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 16. Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*q - 160 = -34*q + 9*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of 23*g**2\/2 - 15*g + 4. Is k(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, w: 3, q: 1, x: 11, u: 1, t: 1}. What is prob of sequence tuqw?\nAnswer: 1\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-12)\/8)\/(-3)*64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + 18*g**2 + 13*g - 72. Give f(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1546*g + 8439*g + 1544*g.\nAnswer: 8437*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (38\/((-10184)\/(-1005)))\/(50\/16)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49\/140 + (-6)\/8 - 94\/(-235)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 7 - -9) + 1 - (-60 + (7 - -5))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(((-14)\/6)\/(-7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*m + 1560*m**2 - 1002*m**2 + 251*m.\nAnswer: 558*m**2 + 291*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.034 + -0.234. Suppose 3*f + 13 + 0 = 5*d, 0 = -4*f - 3*d + 2. Which is the nearest to f?  (a) n  (b) 5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -5*n + 28 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 1:22 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of 0 + 0*v - 5*v**2 + 0*v**4 + 1\/210*v**7 + 0*v**6 + 1\/6*v**3 + 0*v**5. Differentiate d(m) wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 658\/13047?\nAnswer: 658\/13047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(2*(2*sqrt(1700) + 4 + 2*(1 + sqrt(1700)))**2 + 1) + 4.\nAnswer: 5760*sqrt(17) + 326842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19369 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 i be (-2 + 5 - 0)*-6. Let o = i - -16. Let n = 0.34 + -0.04. Put o, -9, n in descending order.\nAnswer: n, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -114, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4527 + 7546510\/1667. Is i greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 354131761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10*(-12)\/18*3*(-2)\/5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**7\/(k**(-2)*k))\/((k\/(k\/(k*k**(4\/5))))\/(k*k*k**12)) assuming k is positive.\nAnswer: k**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {w: 5, d: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 160\/(-364) + 2\/13.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9745041 litres to millilitres.\nAnswer: 974.5041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-245*j + 242*j - 5 - 7)*(30*j**2 + 10*j**3 + 154*j**3 - 32*j**2) in the form i*j + k + b*j**2 + t*j**4 + l*j**3 and give l.\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -5*j**2. Let o(f) be the third derivative of 0*f + 0*f**3 + 4*f**2 + 0 + 0*f**4 + 1\/60*f**5. Determine o(g(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33 - 36. Let w be 10\/5 - (0 + -24)\/m. Calculate the remainder when 6 is divided by (5\/(45\/w))\/((-3)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 6 + 0 = 0. Sort f, 3, -5, 2.\nAnswer: -5, f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60334*g = 60363*g + 406 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3 - 1 = 4*s, 4*s - 1 = -w. Suppose 2*c - 10 = -3*c. Is (-44)\/c*w\/(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)\/((6*sqrt(108))\/sqrt(12)))\/((sqrt(4) - sqrt(144))*-3 - sqrt(20)\/(sqrt(30)\/sqrt(6))))**2 + -1.\nAnswer: -1007\/1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1528615 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.073 and -64?\nAnswer: -4.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - (44\/(-21) + 1). Let k be (72 + (-2 - 0))*-1. Let z be 1*-1*40\/k. Which is the second smallest value?  (a) 0.5  (b) z  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 1 = -m, 3*h + 4*m = -175 + 167 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (10 - 11 - (0 + -11 + 10 - 19))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (13\/3 - 5)\/((-20)\/2790). Let f(o) = -12*o**2 + 4*o - 3. Let b be f(2). Let k = b + t. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-2))\/(-8 + (-4041)\/(-504)). Let b(f) = f**2 - 25*f - 79. Let g be b(u). Solve -3*m - g*c = 30, 4*m + 14 = -3*c - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -36*n**3 + 1 + 31*n**2 - 31*n**2 + n. Let o = -2 - -1. Calculate the remainder when p(o) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -65 + 18506*t - 18506*t + t**2 in the form g*t**2 + d*t + u and give u.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 3061590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + o - 25 = 0, -3*o = -h + 4 + 1. Let p(g) = -g**3 + 2*g**2 + 3*g - 1. Let l be p(3). Let x = 8 - l. Calculate the least common multiple of x and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqumv. What is prob of sequence ru?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3401 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 5  (c) 5\/2  (d) -0.2  (e) 235  (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (7\/(-35))\/(2\/(-50)). Suppose p*w - 614 + 44 = 0. What is the remainder when w is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.9500678 weeks?\nAnswer: 9576.683424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*h + 15*h + 2880. Suppose -2*j - 314 = -2*s, 344 - 44 = -2*j - 5*s. Let a = h - j. List the prime factors of a.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23409810 divided by -3\nAnswer: 7803270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 458 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/((-35)\/(-4)))\/((-145)\/522*-36)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 87 and 330.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + 1. Let t = -16 + 65\/4. What is the third biggest value in -0.5, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15776 and 1559008?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44068202.\nAnswer: 2, 73, 509, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/(10\/6) - -22. Suppose 8*b = 3*b + r. Solve 0*l = l + b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 78657159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03098506268 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.141 and 6.\nAnswer: -6.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 121*f - 32*f - 5 + 10*f to h*f + c and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -486*p**3 + 147 - 3*p + 87 + 488*p**3 + 163 in the form q*p**3 + m + j*p**2 + z*p and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*p - 372 - 168 = -124 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 24*p**2 + 3*p + 2922. What is the units digit of t(48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -59 and 4706.\nAnswer: -277654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 2)*(0*y**2 - y**2 - 3*y**2)*(-y - 2*y + 5*y).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18.2 - 20.2. What is the second smallest value in 0.2, 0.5, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 108973051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of -d**4\/12 - d**3\/6 - 23*d**2\/2 - 18621*d. Let s = 1 + -1. Give c(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.278973219 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + 33130?\nAnswer: 33125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 125184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s**2 + 89*s - 1799. What is the remainder when r(47) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -182 + 189. Let q = -4 - 6. Let l = -3 - q. Calculate the greatest common divisor of c and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 890 + -889 - (-84 + -13).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*h + 2*j + 40 = 0, 3*h - 46*j + 23*j = -2*h - 21*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 215, 539, 841, 1121, 1379?\n\"Answer: -11*c**2 + 357*c - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 10*t**2 - 4*t + 9. What is k(-10)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 517 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*f - 6*f + 4*f + 8)*(f + f + 0*f + (-3 + 2 + 2)*(-f + f + f)) in the form x*f + o + h*f**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/10261630 and -15\/388.\nAnswer: 20523260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -7*m**2 - 112*m + 5. Let d be q(-16). Suppose -104 + 209 = d*k. Calculate the greatest common factor of 147 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 779.2484ng?\nAnswer: 0.0000000007792484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-132)\/18 - -7)\/(33*95\/(-684)).\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12580331?\nAnswer: 577, 21803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18292*f = -18274*f - 207 + 963 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 59*h + 2091. Give a(23).\nAnswer: 1263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (345\/(-150))\/(1294\/(-3235))?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -158\/9 - -52\/3. Put -4, 3, g in decreasing order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/5 - (39 + -38)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 836243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -12. Suppose u*m = 11*m - 30. Solve 0 = 3*n + 3*d, 6*n + 2*d + m = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/(s\/(s\/s**(-3\/5))*s*s)))\/s*s)**(-8\/7)\/(s\/(s*s**(-1\/3)*s*s*s*s))**19 assuming s is positive.\nAnswer: s**(1021\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1715288749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 divided by 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -124, -2\/13 in decreasing order.\nAnswer: 2, -2\/13, -5, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4300011 + 1?\nAnswer: -4300010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/120 and -71\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.5  (b) -571  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72183168 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((33 - 38) + 7\/((-175)\/(-85)))*-10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-472)\/240 - -2).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000525235 rounded to 7 dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2385, -5025, -7665, -10305, -12945, -15585?\nAnswer: -18225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/10 - (-1368)\/10450*-15.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 48*a. Let i(m) = 6*m. Give i(l(s)).\nAnswer: 288*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13947, -27399, -40851, -54303?\nAnswer: -67755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 19 - 6 - 224*c - 8 to the form q + f*c and give f.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 33 = -0*a - 5*a, 0 = 3*a + 9. Let u(o) = -d*o - 1 + 50*o + 1. Let c(l) = 36*l. Calculate u(c(v)).\nAnswer: 72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 919 = 4*x + 5*h, 0 = 3*x + 2*h - 4*h - 718. Let f = -82 + 98. Calculate the remainder when x is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -42.41 to 0 decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 22073410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -5*l**2 + 253*l + 885. Calculate b(54).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-2)*j)\/(j*j\/(j**(2\/25)\/j))*(j\/(j*j**1))\/j**(-5\/3) assuming j is positive.\nAnswer: j**(131\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 995857.\nAnswer: 601, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*f - 174 + 129. Let g(l) = l**3 + l**2 + l - 1. Let a(w) = w**3 - 4*w**2 + 3*w - 1. Determine f*g(r) + a(r).\nAnswer: -2*r**3 - 7*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 128, 0, -1, 1350, -3, 2 in ascending order.\nAnswer: -3, -1, 0, 2, 128, 1350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -h**3\/30 - 16*h**2\/5 - 512*h\/5 + 13. Determine k so that v(k) = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94 minus -582913?\nAnswer: 582819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20565 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18731964.\nAnswer: 2, 3, 1560997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/3*18\/12*-1. Sort b, 2, -16, 3 in decreasing order.\nAnswer: 3, 2, b, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.9 - -2.2. Let d = 0.4 + 0. Let h = 0 - d. Which is the closest to 0?  (a) h  (b) n  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -782 + 781.99998145. Round p to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 37300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 595407280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 AM and 9:41 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssdgsdssdsdsssssd. Give prob of sequence dgs.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 - 2925*t**2 - 226820*t + 3134400.\nAnswer: 5*(t - 653)*(t - 12)*(t + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u**2 - 2*u - 7. Let j be f(-2). Suppose j*q - 4*o - 3155 = 0, -10*o - 1880 = -3*q - 5*o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4311415639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/5*1\/(-6)*-15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*s = -11*s - 1022*s + 63470 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21453*t**3 - 7143*t**3 - 7160*t**3 - 7149*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*l - 26*l + 282 = 0. Suppose -12 = -3*n + 2*v - l, 0 = -4*n - v + 8. Solve 0 + 4\/3*i - 10\/3*i**3 + n*i**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -106185 + 11892609\/112. Let t = 17\/16 + x. Let s = 1 - 0. Is t >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-70)*-5*14. Suppose -7*v = -3*v + 3*c + 189, h*c + 57 = -v. Let j = 90 + v. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = 4*p + 7. Suppose 13*d - 9 = p*d. Find the third derivative of 10*u**2 + 20*u**d + 78 - 78 wrt u.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -5\/2  (b) 0.4  (c) -36  (d) -2\/11  (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 91\/(-140) + (-1)\/10. Let o = 27 + -53\/2. Which is the closest to 2?  (a) o  (b) -2\/5  (c) 0.2  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -234, -3, 5, -2.\nAnswer: -234, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 32.73430388 to three dps.\nAnswer: 32.734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -41*a - 311. Let p be o(-9). Solve 30 = u + 5*c, 5*u = 3*c + 68 - p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15162 + 7322 + 22771 = 1293*s for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -51 (base 12) to base 16.\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 104 and 3798498808?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 315, 522, 777, 1080?\n\"Answer: 24*r**2 + 135*r + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnqngggzgnqanlg. Give prob of picking 1 q and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.01?  (a) -619  (b) -0.2  (c) 391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 196192337239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-2*sqrt(22)\/sqrt(2) + 3 + (sqrt(33) + sqrt(33) + sqrt(66)\/sqrt(2))\/sqrt(3) + sqrt(539)*-2)**2.\nAnswer: -78*sqrt(11) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -2\/9  (b) 1\/3  (c) -0.141  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of 5*q**6\/6 - 2*q**5\/5 + 27*q**2\/2 - 59. Find the second derivative of t(z) wrt z.\nAnswer: 100*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2909 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2239, 2240, 2241, 2242?\nAnswer: 2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6080 + 6152. Calculate the smallest common multiple of 1134 and t.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1613530?\nAnswer: 2, 5, 317, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23 + 25. Suppose 21 = n*u - 45. Let o = u - 35. What is the closest to -1 in -5, -3\/2, o?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of a**3 + 52 + 36*a**3 - 12*a**3 - 3*a wrt a?\nAnswer: 75*a**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 4*a + 8. Suppose 18 = -13*t + 16*t. Let c(o) = -o - 1. What is t*c(f) + v(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x + 1. Suppose -3*z - 26 = 4*m, 2*z - 5*m + 48 = -0*z. Let y = -10 - z. What are the prime factors of o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*s - 12*s - 30 = 0. Solve 3*r = -3*a + 6, -3*r + a = s*a - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33908 and 4844?\nAnswer: 33908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4903.\nAnswer: 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3\/4))**(-3)\/(a**11\/(a\/a**16)) assuming a is positive.\nAnswer: a**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 plus 2681974309.4054?\nAnswer: 2681974307.4054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/904 and 7\/237991108.\nAnswer: 475982216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 10*l + 23. Let g be u(-4). Let h = -146 + 293\/2. Which is the nearest to g?  (a) 1\/10  (b) h  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -571 by 419483.\nAnswer: -571\/419483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -53593*w**4 - 2*w**3 + 8489242*w wrt w.\nAnswer: -643116*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d + 11 = -6*d - 117 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -9*m - 129 + 47 - 11*m - 13*m. Calculate the remainder when u(-5) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -162165*c*j - 4*c - 16521 wrt j.\nAnswer: -162165*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 12, 21, 30?\n\"Answer: 9*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10222 (base 3) to base 7.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 0*v - 230 = 0. Let g = 30 - -42. Let f = g - v. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of 25*p**8\/336 - 2*p**7\/21 - 23*p**6\/12 - 16*p**5\/3 - 155*p**4\/24 - 10*p**3\/3 + p**2 + 58*p. Factor d(r).\nAnswer: 5*(r - 4)*(r + 1)**3*(5*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 112030221 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2662087789?\nAnswer: 149, 3853, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 10 - 7 - (3 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (81 + -2 - 106) + -16.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8662 divided by 2?\nAnswer: -4331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 3261*y + 79 - 3261*y + y**2 in the form o*y**2 + i*y + q and give q.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 63641884, 127283774, 190925664, 254567554?\nAnswer: 318209444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6 - -3)\/((-6)\/(-32)). Let k be c\/1*1\/(-2). Let v = k + -5. Solve -6 = 4*d + v*j, -2*j + 3*j = 4*d + 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 6)*(o**4 - 2*o**3 + 2*o**3) + 2 - 2 - o**4 + (0*o + o - 2*o)*(-o**3 - o**3 + 3*o**3) + o**3 - o**3 - o**4.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2700 and 14290596.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/3 - 146*p - 15987.\nAnswer: -(p + 219)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 77*q**3 + 383*q**2 - 1858*q + 48.\nAnswer: (q - 3)*(q + 8)*(77*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (1080\/(-165) - -6) + (-1590)\/(-9328)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 122 - 122. Suppose l = -3*v - 19*v. Factor 0 + v*m**3 + 0*m + 3\/5*m**4 - 3\/5*m**2.\nAnswer: 3*m**2*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/3 in 1\/13, 3, -1\/4, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 383 a factor of 710848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29569 - 15925. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 454532182 a multiple of 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -64672448, -258689800, -582052054, -1034759210, -1616811268, -2328208228?\n\"Answer: -64672451*o**2 + o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 3*a - 21, 0 = -4*d - a - 33 + 6. Let b = 26 + d. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34762885.\nAnswer: 5, 1283, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1620 - 1402. Round y to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -5*m - 2*i, 2*i - 1 = -5*m. Let v be (12\/15)\/((-66)\/15). Put v, -0.4, m in increasing order.\nAnswer: -0.4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) -13103  (c) -1  (d) -39  (e) 2\/5  (f) -0.2  (g) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -p**5*u**2 + 17835075*p**2*u**2 - 2*p*u**2 - p + 8*u**2 + 2*u - 235779 wrt p?\nAnswer: -20*p**3*u**2 + 35670150*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.7 and -21106.\nAnswer: -35880.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -136*h - 195. Calculate l(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -16\/29 != 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*1*(2*sqrt(114) + sqrt(114))*3)\/((2*sqrt(36)\/sqrt(2))\/(3*sqrt(48))) + -5.\nAnswer: -162*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 2*r + 178191, -5*z - 451*r + 452*r + 296992 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8375?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-152)\/57 + (-1)\/3. Let r(c) = -c**3 - c**2 + 4*c. Let a be r(l). Which is bigger: 8 or a?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 9 = t + 24, -4*t - 3*f - 24 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4791301, -9582586, -14373873, -19165162, -23956453, -28747746, -33539041?\n\"Answer: -i**2 - 4791282*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x - 5538 = 8*x. Let w = -514 + x. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f. Let o(n) = 16814*n**2 - 15*n. What is o(m(w))?\nAnswer: 16814*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 6, 32, 114, 282, 566?\n\"Answer: 5*p**3 - 2*p**2 - 3*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13388 + -10363. What is the lowest common multiple of 1925 and q?\nAnswer: 21175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -52971789 and -52971794 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.2 - 3. Let g = 12.2 - c. Let i = g - 14. Sort -5, i, -2\/13 in increasing order.\nAnswer: -5, i, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/4  (b) -7  (c) 172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 42*v**2 - 28*v + 1122. Give n(42).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -35, -22, 57, 202?\n\"Answer: 33*g**2 - 86*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 6*f - 1. Suppose -168*k + 150*k = 36. Let c(p) = -12*p + 6*p + 5 - 24*p. What is k*c(d) - 11*r(d)?\nAnswer: -6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-70)\/(-25)*(-70)\/(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6820 and 1040670?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 105 and 231?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y**2 - 15*y**2 + 43*y**2)*(0*y + y + y) - 2*y**3 + 3*y**3 + y**3.\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 72570742747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**5 + 0*n**5 + 4*n**5 + ((3 - 3 - 2*n)*(2*n**2 - n + n) + n**3 + n**3 - 4*n**3)*(3*n**2 - 5*n + 5*n).\nAnswer: -14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.0261, -241, 1.6, 2?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (8 - (-2245997)\/39)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of -3*s**2 + 0 + 3\/8*s**4 - 2*s**3 + 0*s. What are the prime factors of k(5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7479*88\/(-7128) - 25\/15?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 2419\nAnswer: -3\/2419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -25*i + 503. Let s(v) = 2*v - 1. Let d(w) = -b(w) - 6*s(w). Let k(n) = 15*n - 498. Let j(h) = -7*d(h) + 6*k(h). Is j(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 - 153*o**2 - 3213*o + 11309. Calculate h(-127).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 - 5*g + 8. Let f be t(-6). Let z be 0\/(8*1\/(-2)). Sort -5, z, f in increasing order.\nAnswer: -5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 157155*b**2 - 37 - 2*b - 7*b**3 - 157155*b**2 as r*b + v*b**2 + d + w*b**3 and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140239156?\nAnswer: 2, 35059789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 35*o**2 + o - 6. What is c(2)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23355998 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 10:40 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23933755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -x**6\/40 - 34*x**5\/5 + 275*x**4\/8 - 69*x**3 + 496*x**2. Factor o(g).\nAnswer: -3*(g - 1)**2*(g + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 214, -2 in descending order.\nAnswer: 214, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 65*j + 30. Suppose -5*b + 8 = 3*u, 3*b + u + 2 = 6. Let g(w) = 2*w + 1. Let h(n) = b*s(n) - 30*g(n). Let l(a) = -44*a**2. Determine h(l(k)).\nAnswer: -220*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - 0. Let i(d) = -d - 6 + 13 - 3*d**2 - 4. Let r be ((-1)\/2)\/(14\/(-4) + 4). Let b(t) = t**2 + t - 1. Give f*b(n) + r*i(n).\nAnswer: n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5459010643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 5*a. Let v(u) be the second derivative of -u**7\/1260 + u**4\/3 + 3*u. Let z(o) be the third derivative of v(o). What is z(m(x))?\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 83*v - 44. Let w be a(2). Let h be ((-84)\/54)\/(-7) + w\/18. Solve 3*j = h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b - 68. Let i(h) = 3*h - 78. Let m(q) = 11*i(q) - 12*l(q). Determine m(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {i: 1, r: 1, l: 1, z: 2, j: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 12, 35, 72?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 6. Suppose 4 + s**2 + s**a - 3*s**2 - s**2 = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 357190, 714339, 1071488, 1428637, 1785786?\n\"Answer: 357149*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81515 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-s + 2*s - 3*s)*(s - 2*s - s) + (12*s - s - 4*s)*(-2*s + 2*s - 2*s) + (0*s + 4*s - 3*s)*(3*s - s - s) as t*s**2 + c + k*s and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*d + 3*d + d + 3*d + 0*d - 5*d + (-6 + 4 + 0)*(71*d + 3175 - 3175) to the form n*d + y and give n.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 37*m + 79. Determine n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v + 6. What is the smallest common multiple of 28 and o(-5)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -119934664 divided by 8\nAnswer: -14991833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -196  (b) 4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 13\/12 of a week?\nAnswer: 10920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 7:18 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2642790, -5285617, -7928444, -10571271, -13214098?\n\"Answer: -2642827*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of -j**5\/20 - 5*j**4\/6 + 2*j**3\/3 + 3*j. Is f(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 305 = -0*h - l, -2*h = -3*l - 303. Suppose 0 = -2*o + 5*o - h. What is the remainder when o is divided by 1 - ((-6)\/(-3) + -19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 77024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*l**2 - 134*l**2 + 158*l**2.\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 13063587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/11  (b) 4  (c) 2  (d) 0.26  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 3*x - 13 = 10, -3*u + 3*x = -21. Suppose a = 3 - 0. Suppose 2*b + 0*m + 1 = -a*m, -3*m = 9. Solve -4*o + u*p = 12, -b*o - 7*p = -3*p + 36 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 at least 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/(-120))\/((-3)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**(-1))\/v)\/(v\/((v*v**(-1\/3))\/v)))**(-2\/5)*v\/v**(2\/9)*v\/(v**6*v)*(v\/(v*v\/v**(-1)*v))\/v*v**(-4)\/v assuming v is positive.\nAnswer: v**(-598\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1 + 119\/6 - (-15)\/(-5 + 0) and 181\/900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -126 - -127. Put 0, a, -1\/97 in descending order.\nAnswer: a, 0, -1\/97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 AM and 2:04 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 605\/4 + -152. Let v = 0.0519 - -0.9481. What is the closest to v in -0.09, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 7) + (1 - (117 + -154))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 175488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -26*v**3 + v**2 + 2*v + 1. Let t = 31 + -32. What are the prime factors of y(t)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52225519?\nAnswer: 52225519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 20120313 (base 4) in base 15?\nAnswer: a2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 363 is divided by 94.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -920 + 36 = -29*l + 3*l. Calculate the highest common factor of l and 15742.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/105 - (2\/(-2) - (-352)\/308). What is the closest to -2\/5 in -192, 2\/15, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 + -1)\/((-2)\/14). Let y(h) = 37*h**2 - h + 3*h**3 + h**3 + h**3 - 7 - 30*h**2 - 4*h**3. Calculate y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29790979 is divided by 1599?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-4))\/(3\/4). Let j(i) = i**3 - 34*i**2 - 24*i + 84. Let n be j(34). Let v = n - -734. Sort -1, v, r, 0 in increasing order.\nAnswer: r, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - (3 + -8))\/(17 + -164).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 527 a factor of 3137177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*t**4 - 8*t**4 - 8*t**5 - t**5 - 4*t + 4*t + 4*t**5 + t**5 - 3*t**5 + (5*t + 0*t - 4*t)*(t**3 - 2*t**4 - t**3) - t**2 + t**2 - 2*t**5.\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g + 9. Let n be q(2). Suppose 9 = -n*f, 3*t + 5*f + 12 - 264 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -6981*w**2 - 115*w - 5. Let f(v) = -v. What is q(f(r))?\nAnswer: -6981*r**2 + 115*r - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.17 + 0.1. Let x = -0.258 + s. Let o = -0.01364 + x. What is o rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/30*2*6\/2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 393910549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 32a (base 13) in base 15?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2. Let m(q) = -97*q**2 - 2*q + 2. Let f(d) = 388*d**2 + 9*d - 9. Let v(s) = 2*f(s) + 9*m(s). Give v(x(l)).\nAnswer: -97*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -31968?\nAnswer: 3196a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -8*m + 23. Is (-411)\/(-2) - 1\/m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28*f**4*u**3 - 5*f**4 - 3*f**2*u**2 - f*u + 31*u**3 wrt f?\nAnswer: -672*f*u**3 - 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i - 2. Let a be r(-8). Suppose 0*q + q = a. Calculate the remainder when q is divided by (-1)\/4 - 21\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 152995 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(119)*3*-5)\/(sqrt(28)\/(-4*sqrt(100))).\nAnswer: -300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 + 4039.\nAnswer: 4038.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of u**4\/24 - u**3\/3 - 3*u**2. Let r be q(4). Suppose -3*p + 13 = -r*p. Calculate the greatest common divisor of 65 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -9*u - 135. Let a = 428 - 444. Let p be l(a). Solve -p*t = -14*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -35b9 (base 13) in base 3?\nAnswer: -101102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/10)\/((-1)\/60). Let h be 2\/(a\/(-44))*-15. Suppose -5*t - 5*i + 115 = 0, 0 = 5*t - i - 58 - 51. Calculate the greatest common divisor of t and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -33. Let r = -29 - h. What is the third derivative of 3*g**3 - 2*g**3 + 0*g**3 + 10*g**r wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45 - -61. Calculate the greatest common divisor of 32 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2925, 5861, 8813, 11793, 14813, 17885, 21021, 24233?\nAnswer: 27533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 540 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 16 + 6*g - 8*g + 3 as s*g + d and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 336 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -s + 3, 0 = -2*x + 3*s + 27. Let f(m) = -2*m**3 + 11*m**2 + 2*m + 14. Let u be f(6). Let j = x + u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 f, 1 y, and 1 c when four letters picked without replacement from {y: 4, c: 1, h: 6, n: 1, f: 3, t: 1}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence momo when four letters picked without replacement from moom?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 38868642 a multiple of 1959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m**3 - 1 - m**4 + m + 4*m**4 - m in the form r*m**2 + d*m**4 + k*m**3 + b*m + p and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - 3) + 8 + (-2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 208.44 and 47.\nAnswer: 9796.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 500732669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 4*g - 2*x = -5, -5*g + 4*x = 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5.763, -5\/4, 2\/5, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(175) - sqrt(175)*2) - (1*sqrt(77)*4)\/sqrt(11))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3823 or -3818?\nAnswer: -3823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23\/64 or -183941?\nAnswer: -183941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.003 rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 2652*i - 867 - 213\/4*i**4 + 4089\/4*i**3 - 11019\/4*i**2 + 3\/4*i**5 = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8931 - -8935. Let p = -3 + 8. Solve -p = -l*b - b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/(-8) + 0)*(1 + 5). Suppose 4*g = 4*d + 20, -46*g = -51*g + 25. Solve 7*x - z*x = d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 2. Let l be 2*(-2)\/8*(-11 + 5). Let q(a) = -l + a**2 + a**2 + p + 2*a + 7*a**3 + 3. What is q(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 25 - 15. Suppose -w*a = -5243064 - 23413936. Let h = a + -1582125. What is h rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of f**3\/6 + 63*f**2. Let z(r) = 2*r + 10. Let u(g) = 10*q(g) - z(g). Let y(c) = 63*c**2 - 2*c. What is u(y(t))?\nAnswer: -126*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -5, -0.5, -2\/7, 19348, -0.13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) 5  (b) -0.03  (c) -4  (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-63 - (19 + -74)) + 56\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 3:54 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.1, -1\/58, 1, -2\/15, -1 in ascending order.\nAnswer: -1, -2\/15, -1\/58, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -9.6. Let s = 1.033 + 0.967. Which is the nearest to s?  (a) r  (b) 0  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16905 and 93345?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -2*v + 2*j, -5*v - 3*j = -332 + 100. Solve -9*l - v = -20*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 6*a + 12*a + 5 + 1 - 3*a. Let x(q) = -5*q - 2. Give 2*r(g) + 7*x(g).\nAnswer: -5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3101314 to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 128*i**4 - 2*i + 109. Let a(q) = 256*q**4 - 5*q + 219. Let b(w) = -2*a(w) + 5*m(w). Differentiate b(r) with respect to r.\nAnswer: 512*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 1, 1\/2, -345944, -0.2, -1 in ascending order.\nAnswer: -345944, -1, -0.2, 2\/9, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 0.2. Let q = -1.9663 - -4.9663. What is the second biggest value in -1, k, -1\/10, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 29*i - 1. Let g = 1239 - 1237. What is h(g)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5 = 0, 4*a + 110 + 2988 = 2*u. Suppose -4*q - 8 = -2*y, 5*q = 4*y - 26 + 7. List the prime factors of a\/y*6\/(-4).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-4*(sqrt(66) - (sqrt(66) - (-2*sqrt(66) - sqrt(66))) - sqrt(66))*-6)\/((3*sqrt(726) - sqrt(6))*1))**2.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 27*y - 192. Let i(l) = 9*l**3 - 7*l**2 + 7*l + 7. Let v(o) = -6*o + 6*o**2 - 6 + 2*o**3 + 0*o - 10*o**3. Give y*i(c) + 7*v(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -191.29 - -190. Let h = r - -1.2899947. Round h to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of 3*f**4\/4 - 5*f**2\/2 + 3*f. Let y = -28 + 20. Let w(t) = -14*t**2 + 8. Determine y*u(x) - 5*w(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + 633178?\nAnswer: 633176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4585, 10832, 18725, 28264, 39449, 52280, 66757?\nAnswer: 82880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1176 divided by 7.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 274432 and 7280?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 18 - 62. Let k be 2\/(4\/3)*2. Suppose -w - 39 - 130 = -k*g, 3*g + 3*w = 153. What is the highest common divisor of y and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12450073 is divided by 1911.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 318, 306, 294, 282?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -8*c**3 - c**2 - 2*c - 1. Let t be n(-1). Suppose 0 = -s - t + 10. What is the tens digit of s\/9 - 205\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a3a82 (base 11) in base 13?\nAnswer: 137877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**2 - m. Let o be l(1). Let j be (o*-1)\/((-3)\/(-15)). Let r = -6 + 11. Sort -2, j, r.\nAnswer: j, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 56 and 0.1.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 AM and 12:51 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -96769 (base 10) to base 11.\nAnswer: -66782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from faysouf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 37, 89, 171, 289, 449?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -14. Suppose 10 = -0*i + n*i. Suppose -8*f = -3*f - i. Which is greater: f or 4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of (1113\/(-6))\/7*-2*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.06  (b) -0.02  (c) -4  (d) -1\/7  (e) -176\/5  (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 54*r**2 + 86 - r**3 + 4*r - 53*r**2 - 107 + 33*r in the form x + d*r + o*r**2 + v*r**3 and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 786584 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.828 + 0.118. Let y = -198626.94 + 198626.229999825. Let q = v - y. Round q to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 405.99945 + -406. Round n to 5 dps.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2107 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9360*t = 9339*t - 483 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4888523606 + -0.3.\nAnswer: 4888523605.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {p: 5, u: 3, k: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 467236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -29, -56, -83, -110, -137, -164?\n\"Answer: -27*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 24.4 times 1\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 67*j + 281. Calculate d(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6953 - 3?\nAnswer: 6950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 4*i - 0*i, -3*k = 5*i + 4. What is the units digit of k\/10 + 29\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1006 is divided by 107.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, n: 3, j: 3, p: 1, x: 3}. Give prob of picking 1 n and 1 x.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/27*349\/(8259783\/(-1764)).\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.4544 + 18.5456. Let q = 0.21 - -0.09. Which is the closest to -3\/5?  (a) q  (b) 0  (c) 1\/5  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 2*r - 14 = 4*x, 4*r = 12. Let f be ((-10)\/8)\/(x\/8). Let q be ((-144)\/(-90))\/(20\/25). Solve 0 = 3*n - q + f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -i - 3 - 1, 4*i + 36 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/28*((-7)\/(35\/260))\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 9 = -u, -6746*w - 3*u + 41 = -6771*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 0. Suppose 4*h + 12 = 0, -o + j*o - 5*h - 180 = 0. What is the remainder when o is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/5)\/(-2)*3*10\/(-174)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**4 + 0 + 0)*((-2*g - g + 5*g)*(1 - 3 + 1) + 13 - g - 13)*(1 - 5 + 3).\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 993?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 v when three letters picked without replacement from {r: 3, v: 3, i: 1, m: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-75))\/((-532)\/(-798))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112*n - 848 = 272 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*n + 141 - 549 + 139 + 134 + 133.\nAnswer: 118*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b - 9 = -130. Solve 4*d = u + b, -5*d - 3*u - 1 + 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2956*f**3 + 2770*f**3 - 5674*f**3.\nAnswer: 52*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 1 = -2*s + 5*z, 0 = 5*s - 2*z - 18. Let t(o) = 131 + s*o - 131. Let x(c) = -5*c. Calculate t(x(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 126.62 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -r**6\/120 + r**5\/10 + r**4\/3 + r**3\/6 - 3*r**2. What are the prime factors of b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.8659 kilometers in meters?\nAnswer: 37865.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lmm when three letters picked without replacement from lmlllmlllllllllllll.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2842 - 2840. What is the closest to k in 1, -192, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-2)*r\/(((r*(r\/(r*r\/(r**(-10\/11)*r)))\/r*r)\/r)\/r) assuming r is positive.\nAnswer: r**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 213*s**3 + 9*s**2 + 10*s. Suppose -2*v + 12 + 8 = 0. Let i be f(v). What is i rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6338 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(0 + sqrt(3)) + -1)**2 + 1.\nAnswer: -2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a6 - 5644a?\nAnswer: -56254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 22295618 to the power of 1\/2, to the nearest integer?\nAnswer: 4722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.9 in -0.2, -1\/4, -0.0733?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 899 = -36*s - 0*m, 3*s = 5*s - m + 51 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10193.142 minutes to hours.\nAnswer: 169.8857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 3*g = 6 + 51, 0 = -3*i + 5*g + 143. Calculate the lowest common multiple of i and 9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v**2 + 14*v + 5. Let d be s(-7). Let r(h) = h**3 - 5*h**2 + 2*h - 4. Let p be r(d). Suppose 48 - p = n. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -13) + -1 + (-10 - -41 - 43) - -78?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 + 6*i**2 - i + 5. Let v = 19 - 13. Calculate g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - b - 22 = 0. Suppose -57*w + 61*w = 16. What is the remainder when b is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ymz when three letters picked without replacement from zmy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4\/9  (b) 3  (c) -210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 28.151 rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 774?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 961 is divided by 52.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/1*(-936625)\/31750\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-20)\/2*(-1 + -1). Suppose 0 = i + 3*i - f. Suppose -3*u + 31 = -i*l, 3*u + 5*l + 19 = 5*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0405*-11\nAnswer: 0.4455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 5*b**2 - 1 - 7*b**2 + 0*b**2 + b**2 + 0*b**2 + (1 + 4 - 4)*(-4*b**2 + 3*b**2 - b**2) + 0*b**2 + 0*b**2 - 2*b**2.\nAnswer: -5*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.0733 + -3.0733. Which is the nearest to 0?  (a) t  (b) 32  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kbkb when four letters picked without replacement from {b: 7, v: 1, k: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-9))**(-28)\/(z*z\/(z\/z**12))**(-27) assuming z is positive.\nAnswer: z**603","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 370*j + 2359. Calculate q(-7).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 181 divided by 1138.\nAnswer: 181\/1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186*f = 213*f + w + 85, 3*f + w = -13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*b - 48 + 17 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-69) + (-384)\/368\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14 * 395823.\nAnswer: -5541522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 643355221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**4 - k**4 + 3*k**4 - 2*k**4 - 2*k + 2*k + (2*k**3 - 5*k**3 + k**3)*(k + 1 - 1) - 2*k**2 - k**4 + 2*k**2 - 4*k**4 + 492 - 493 - 186*k**3 + 243*k**3.\nAnswer: -7*k**4 + 57*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 60 + 1029. Let c = k + -210. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of s**5\/18 - 4*s**4\/27 + s**3\/27 + 2*s**2\/9 + 10*s. Factor w(r).\nAnswer: 2*(r - 1)**2*(5*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -812776\nAnswer: 325110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3526722ml in litres?\nAnswer: 0.0003526722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 29819720 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-14) + ((-500)\/(-70))\/10.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2. Let w(m) = -3*m + 4. Let a(s) = -3*s + 5. Suppose -4*f - 15 = -f. Let h(n) = f*w(n) + 4*a(n). Give q(h(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 4*t**3 + 6*t + 6. Let b(h) = -h**2 + h + 1. Let j(x) = 6*b(x) - r(x). What is the third derivative of j(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 313410914 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-2 + 1)) + -1 + (3 - 7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-13.64835\nAnswer: -2.72967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 4*y + 11 + 5, 0 = 5*y - 3*h + 13. Let o = -1 - y. Suppose -5*i + 2*n = 6*n - 399, -o*i - 5*n = -321. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y**3 + 6 - 6 + (4*y - 2*y - 3*y)*(-32 + 32 - 5*y**2) + (0 + 0 + y)*((-2*y + 4*y + 7*y)*(5 - 5 - 2*y) + (-3*y + y + 3*y)*(-2*y + 4*y + 0*y)).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 6*l**2. Let t = -12 - -12. Let i be t\/(-1) + (0\/2 - -2). Let c(s) = 10*s**2 - 2*s - 8*s**i + 2*s. Give o(c(k)).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 26 - (-1 + -13)) + 1 + -5 + 57.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.68 + -74.82. Let i = c - -76. Put -2\/9, -2, i in ascending order.\nAnswer: -2, i, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*(-2)\/(-32)*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -5 + (2 - (-9 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i**2 + 2*i - 7. Calculate w(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4 = 51. Suppose 5*r - 7 - p = 3*b, 0 = -4*b + 16. Solve r = g + g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus -753986678?\nAnswer: 753986677.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = z + 2. Suppose z*w = 13 + 3. Solve 4*t = -4*r - 8, 5*r - 2*r = -2*t - w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 2*p**3)*(-191*p**2 + 81*p**2 - 317*p**2).\nAnswer: 854*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10200 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 16*n**2 - 27*n + 22. Let d be h(-14). Let s be (0*4\/d)\/(-2). Factor -1\/5*a**2 + s + 1\/5*a.\nAnswer: -a*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 167 - 608. What is the common denominator of -51\/20 and 1*2 + u\/(-80)*-4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2))**(2\/7)\/((u*u**(2\/7))\/u**(-1\/5)) assuming u is positive.\nAnswer: u**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, h: 3}. Give prob of picking 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -336*c = -332*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 5*i - 5*i**2 - 6*i + 0*i. Let h be b(-5). Suppose t - 9 = -d - 2*t, -5*t = d - h. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 9) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = -59*m + 633, 151*m - 56 = 147*m + 3*y for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + 2. Suppose -5*o + g = -64. Calculate the remainder when 30 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 4. Suppose -43 = -q + 83. Suppose p + j*a + q = 5*p, 4*p = a + 129. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3855354 and 4590.\nAnswer: 2949345810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -17670 divided by 155\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13503712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**3\/2 - 12417*f**2\/2 - 374535*f\/2 - 2814075\/2.\nAnswer: 3*(f - 4169)*(f + 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/15  (b) 9.91  (c) 2\/5  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1242\/5 - 1246\/5. Which is the second biggest value?  (a) -13  (b) 6  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7 times -42?\nAnswer: 71.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ew when two letters picked without replacement from ewwwwwe?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3380 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16747522.\nAnswer: 2, 11, 761251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -146243005.4 to the nearest 1000000.\nAnswer: -146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8*(1 - (-3)\/(-2)). Suppose 0 = -4*n + y - 18, -2*n - 18 = 2*y + 2*y. Are w and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4529962939.\nAnswer: 4529962939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 156831 bigger than 156831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-7) + (-32)\/(-63). Let a = 1 - 1.1. Let r = a - -0.1. What is the nearest to 0 in r, 1\/3, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*(-4)\/24)\/(20\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/((-16)\/502) - 18\/(-72)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -13\/37, 0.5, 0.2 in descending order.\nAnswer: 0.5, 0.2, -13\/37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 161.67704 days in weeks?\nAnswer: 23.09672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -2\/17  (b) -5  (c) 0.4  (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30.18 - -30.48. What is the closest to 0 in z, -103, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of -j**3\/3 - j**2 - j + 9. Factor l(y).\nAnswer: -(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 5282*s - 1908*s - 2 + 21321*s as h*s + k and give h.\nAnswer: 24695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 409503336 - -11\nAnswer: 409503347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 3*i**2 + 4*i - 6. Let q be p(3). Solve -w - q = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + d - 1279, 8*d = 3*b + 12*d - 1921. Calculate the remainder when b is divided by 105.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 18 = 3*z, x - 32 = 3*z - 38. Let a be -2*x\/15*-1. Let f = 0.34 - 0.04. What is the second biggest value in -0.5, f, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.592 + 30.448. Let i = -20.71 + q. Let s = i - 10. Round s to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (((-3)\/(-7))\/(-3))\/1. What is the smallest value in 5, -10\/9, g?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/40125 and -26\/585825.\nAnswer: 2929125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -27197666*u**4 + 30954788*u**2.\nAnswer: -652743984*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 4) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of 21\/5*g**5 + 0*g + 225 + 1\/3*g**6 - 17\/3*g**3 + 0*g**2 + 0*g**4. What is the third derivative of t(m) wrt m?\nAnswer: 120*m**2 + 504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76213?\nAnswer: 76213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*36.3.\nAnswer: -145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1aaa (base 14) to base 5.\nAnswer: -123404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 = -1926*s + 1935*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-25560)\/(-56) + 6\/(-14). Let p(h) = 197*h - 57. Let v be p(-14). Let z = s - v. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 12*m = 0. Suppose -u = -0*q - q - 467, m = 3*q + 15. Does 26 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 8:37 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 295494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 26 = -2*s, 5*x + s + s + 14 = 0. Is 18\/(x\/((-8)\/(-4) - 4)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1505 divide 36580965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -15*f**2 - 57*f - 42 = 0. Calculate f.\nAnswer: -14\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.668224 months to years.\nAnswer: 1.472352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + 5*c - 1. Let w be k(-5). Let o be 24\/156 - (-56)\/(-26). Sort w, o, 5 in descending order.\nAnswer: 5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -293*u + 294*u - 5*a + 6, 5*u + 6*a - 32 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.51 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-29)\/((-812)\/(-8)))\/((-6)\/63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - 5*o**2 + o + 6. Let p be j(-5). Let s be (-4 + 3)*(-2)\/p. Suppose -s*c + 4*u + 150 - 32 = 0, -4*c + 3*u + 221 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*t - 7*t = -66 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*x = 23*x - 5360. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = 2851 - 631. Let k = 466 + f. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14760 divided by 8?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -42. Suppose i = 4*i - 2*f - 125, -5*f = -5*i + 215. Let w = i + b. Sort 0, -3, w in descending order.\nAnswer: w, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -832 + -20?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - (-102)\/(-8))*-4. Let t be (-2)\/((3\/12)\/(-1)). Let u = s + t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1745952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -3*s**4\/4 - 124*s**3\/3 + 12*s + 464. Differentiate n(o) wrt o.\nAnswer: -9*o**2 - 248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -65 - 47. Calculate the greatest common factor of p and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134 a factor of 17462629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x + 5. Let q be g(-7). Suppose -f + 192 = -5*y - 3*f, -5*y = 5*f + 180. What is the units digit of q\/5 + (-536)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 395067*g**4 + 3620*g?\nAnswer: 4740804*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 - -104. Calculate the remainder when r is divided by 260\/24 + (-38)\/(-228).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (12 - 8) - 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -2*l - 3*k - 6, 5*l - 14 = -k. Let j(m) = -25 + 31*m**2 - 10*m**l + 20*m - 35*m. Is j(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 90260 and 16?\nAnswer: 361040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44 - 38 - (3 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 1 - 2)*(-4*g**2 - 3*g**2 + 6*g**2)*(-g + 2*g**2 + 5267 - 9926 + 5162) to the form w + q*g**3 + k*g**4 + x*g + t*g**2 and give t.\nAnswer: 3018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-11 + 3) - (4 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3572*i + 6456 wrt i?\nAnswer: -3572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 52544690.12809 + -52544170. Let n = s - 520.44809029. Let o = n + 0.32. What is o rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-576)\/27)\/8)\/((-3040)\/228).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p - 3*p - 9 + 92 = -4*o + 6*o + 4*p, -3*o = -18*p + 189 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -111 + 110.6. Which is the second smallest value?  (a) 0  (b) y  (c) 3\/4  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 120586018 times -8\nAnswer: -964688144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*a**2 + 3*a**2 - 4*a**2 + (-5 - 7*a + 5)*(2*a - 3*a - 3*a))*(-5 + 2 + 2) to the form m*a + t*a**2 + c and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.9 + -5.1. Let a = -7.024 - d. What is a rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19.2 - -27. Let p = l - -7.7. What is p rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27520996*h**2 - 1 - 27522678*h**2 + 2 - 1.\nAnswer: -1682*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of 8*k**2 - 56*k - 57. List the prime factors of m(12).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -17*p**4\/4 + 1507*p**3\/4 - 8599*p**2\/2 + 16572*p - 20520 = 0.\nAnswer: 45\/17, 4, 6, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1875.73193 + 95.729?\nAnswer: 1971.46093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-3) + 30\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -592 - 1456 - w - 405 - 75 + 90.\nAnswer: -w - 2438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*w = 138 + 662. Find the common denominator of 107\/14 and 0 + 2\/8 + 32 + w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 62910 and 490698.\nAnswer: 2453490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 16 + 36393*u + 8 - 36389*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2 + (sqrt(1008) - (0 + 6*sqrt(1008)) - sqrt(1008)) - ((-3 + sqrt(1008) + 5)*-3)**2).\nAnswer: -18220 - 1008*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -51026343 - -3?\nAnswer: -51026340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3\/5 + 38*s**2\/5 - 336*s\/5.\nAnswer: -s*(s - 24)*(s - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1707 divided by -3\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 1 = n. Solve n = t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*z - 35*z - 304 = -11*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 3\/(40\/5 - 633\/78).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -11 + 6 + 6*s + 5. Let j(w) = w**2. Calculate j(h(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, h: 2, d: 2, k: 2, a: 1, p: 5}. Give prob of sequence ekda.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 8*d + 33. Let z be l(11). Let v be z + 4 + 32\/(48\/(-6)). Sort v, -2, -5, -1 in increasing order.\nAnswer: -5, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 490859310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 813 (base 14) to base 8\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53132 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -8*h - 2. Let n be m(-1). Let p(r) = r**2 - 6*r + 15. Let u be p(n). What is the tens digit of 18*10\/u*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and -295041?\nAnswer: -295041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -5 - (7 - (5 - -10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 770 a factor of 268573906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7362 + 7361.96. Let u = 0.42 - 0.02. What is the closest to 2\/7 in -3, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -110, -427, -956, -1697, -2650?\n\"Answer: -106*m**2 + m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**2 - 7*p + 3. Calculate j(5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 77*s**2 - 314*s - 2493. Give u(8).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is fe + 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2\/4 - 52701*z\/4 - 149031957\/2.\nAnswer: 3*(z - 22069)*(z + 4502)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 85 minus -24.29?\nAnswer: 109.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/4*(-9 + 17). Factor -4\/11*r + 4\/11*r**3 - 2\/11*r**k + 0*r**2 + 2\/11.\nAnswer: -2*(r - 1)**3*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uvuvvvvvvuvuvvvvvv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 212 + -122. Let v(f) = 2*f**2 - 10*f - 30. What is the smallest common multiple of v(8) and w\/12*18\/15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-732)\/976*(-8)\/27)\/((-4)\/(-198) - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 - -13. Suppose i - 6*i = k*l - 589, 0 = -5*l - 10. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/2166329 and 36\/2166329.\nAnswer: 2166329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2513171 is divided by 387.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -32 + -1529800?\nAnswer: -1529832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6635*q = 6621*q + 294. Suppose 29 = t - 7. Calculate the remainder when t is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 304 and 4444976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36*x - 25*x - 3 + 1)*(8 - 3 - 1).\nAnswer: 44*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3557 divided by 94843\nAnswer: -3557\/94843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3114, 10, -17, 0, 1 in increasing order.\nAnswer: -3114, -17, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/(-1))\/(6\/195). Let j be ((-13)\/(a\/30))\/2. Suppose 6*r - 5*p = j*r + 160, 53 = r - 2*p. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**4 - 3*t**4 + t**4)*(-1 + 5 - 1)*(2 + 1 - 1)*(5*t - 2*t - t).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18527500 by 1.\nAnswer: -18527500","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - 31*d**2 + 29*d - 45. List the prime factors of b(-34).\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence egeg when four letters picked without replacement from {g: 9, e: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000034 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 5*m**2 + 86*m + 8. Calculate i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 355061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand u**5 + 2*u**5 + 3*u**5 + (4*u**3 - 10*u**3 - u**3)*(6*u**2 - 5*u**2 - 2*u**2) + u**3 - u**5 + 4*u**3 - 4*u**3.\nAnswer: 12*u**5 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 36*u**2 + 542*u + 30. Give v(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gtttgtdtntttn. What is prob of sequence gdtt?\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of -1\/48*x**4 - 12*x**2 + 1\/120*x**5 + 1\/240*x**6 + 0 + 0*x - 1\/420*x**7 + 0*x**3. Determine t, given that i(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4267023 - 45*c**3 + 4267023.\nAnswer: -45*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -3668.\nAnswer: -3\/3668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 - 8) + 3 + 3 + -11 + (8 - 128)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((8\/4)\/(-1))\/(203\/(-2233))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 450*z**5\/11 - 332760*z**4\/11 + 5081662*z**3 - 25859860*z**2\/11 - 25742144*z\/11 - 3963968\/11 = 0.\nAnswer: -4\/15, 1, 257, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11.1 - 11. Let n = -0.9 - p. Let z = n + 1.3. Which is the second biggest value?  (a) 0.5  (b) z  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of -n**6\/42 + 2*n**5\/5 - 3*n**4\/7 - 184*n**3\/21 + 256*n**2\/7 - 384*n\/7 + 13222. Factor g(t).\nAnswer: -(t - 12)*(t - 2)**3*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110260 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of g**8\/224 - g**7\/140 - g**6\/80 + g**5\/40 + 6*g**2. Find n such that c(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/(252\/(-27))*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gucvuueugcccexu. Give prob of picking 2 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -b**4 + 74*b**3 - 4*b**2 - 15759*b wrt b?\nAnswer: -12*b**2 + 444*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 134218 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - -7054?\nAnswer: 7056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3*m**2 - 3*m**2 - m**3 + 7*m - 5*m**2 + 0*m**3. Suppose -2*u + 7*u + 6 = -d, -5*u = 3*d + 18. Determine c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16677 + 11796. List the prime factors of u.\nAnswer: 3, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1914 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -5, 4, -2 in increasing order.\nAnswer: -5, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -100 - -102. Solve -2*h**x + 880 - 28*h - 880 = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 + -2 - 11) + (-209 - -224).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 53937792 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 25\/(-2))*(-2802672)\/272482.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {d: 4, a: 3, r: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 286199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 198 and 828531?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -16546.\nAnswer: 3\/16546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.023 and 65.71.\nAnswer: -1.51133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**3 + 71*l**5 - 216*l**2 - 340*l**5 - 693*l**2 + 46*l**2 + 117*l**2 wrt l.\nAnswer: -16140*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of z**4\/12 - 43*z**2\/2 + 2*z + 17. Let o(f) be the first derivative of i(f). Let n(y) = 17*y**2. What is n(o(d))?\nAnswer: 68*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llgg when four letters picked without replacement from lglgglgggggglg.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -673*l**2 + 2*l**3 + 3149*l - 6299*l + 3148*l + 2 to t*l + n*l**3 + r + b*l**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 706888?\nAnswer: 2, 7, 13, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -68912900.9 to the nearest ten thousand.\nAnswer: -68910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1020222001201 (base 3) in base 13?\nAnswer: 1a53b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t + 2*t - 4*t. Let y be z(-2). Suppose 0*g = -3*g + 4*b + 15620, y*g - b - 10405 = 0. Round g to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**1)**2)**(-4\/7)\/(((v*v\/(v\/v**(6\/11))*v*v)\/v)\/v*v\/(v*v**3\/v*v)*(v\/(v*v**(-1\/2)))**(-8\/5)) assuming v is positive.\nAnswer: v**(428\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {m: 3, j: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(300)*2)\/sqrt(6) + sqrt(50))\/(sqrt(10) + sqrt(250)*-1).\nAnswer: -3*sqrt(5)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 644 is divided by 95.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190 - 179 + 318 = 17*q. Let g(p) = -p**3 - 15*p**2 - 34*p - 1. What is g(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 193515 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1960*j + 929 = -1826*j - 1617 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8016.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 2  (c) 90  (d) -2\/7  (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 2 = -3*z, 85*z + 2 = -2*t + 83*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {h: 2, p: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 3679?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 25*l**2 + 139*l - 125. Determine i(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**5\/11 + 58*k**4\/11 - 1224*k**3\/11 + 4352*k**2\/11 + 512*k = 0. What is k?\nAnswer: -44, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -17, 0, -1 in decreasing order.\nAnswer: 5, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) - (sqrt(539) + (sqrt(539) + 0)*-3))**2.\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-13)*h)\/h**(-21))**(1\/4) assuming h is positive.\nAnswer: h**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 1:55 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 72*s**3 + s**2 - 1. Let g = 6 - 7. Let a be n(g). Let m be (9\/a)\/(1\/6). Which is bigger: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 20, 182, -1?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1100 - 2011443?\nAnswer: -2010343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**0\/g*g**(1\/6) assuming g is positive.\nAnswer: g**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k*k*k\/(k*k*k**10*k)*k*k))**47\/(k*k**10*k)**(-1\/16) assuming k is positive.\nAnswer: k**(1883\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*p + 3*i - 35, 0 = 5*p - 2*i + 35. Let f be (-6 + 26\/6)*3. Is f bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3088*n = -10437 - 35883 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1784188\/1797 < 994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 6*o - 6*o**4 + 0 + 8*o**4 - o**3 to the form m*o**4 + i*o**3 + n*o + k + z*o**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, -17, 4, -5, 0, 6 in increasing order.\nAnswer: -26, -17, -5, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 760998.6ml in litres?\nAnswer: 760.9986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -5*(0 + 2*1*sqrt(720) + -4*(sqrt(720) - (sqrt(720) + 5 + sqrt(720) + 0)))**2.\nAnswer: -131595 - 14400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 4, 2544, 2, 3 in decreasing order.\nAnswer: 2544, 5, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -2, -44, 4, 1 in ascending order.\nAnswer: -44, -2, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 0)\/(6\/(-756)). Calculate the highest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1265 - -1309. Calculate the lowest common multiple of 24 and a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of p**5\/20 - 10*p**4\/3 + 25*p**3\/6 - 2*p + 24. Find the second derivative of q(b) wrt b.\nAnswer: 6*b - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 8 = 8. Let h(g) = -g + 7. Let q(b) = -2*b + 14. Let c(v) = 11*h(v) - 6*q(v). Let x be c(n). Is x >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 11*t**2 - 18*t + 13. Let k be m(-9). Solve -13 = -4*r - 1, p + 3*r = k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 310, 0.\nAnswer: -3, 0, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 4:20 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -248a62 (base 11) in base 2?\nAnswer: -1011111110110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1681 - 1612. Calculate the remainder when d is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - t**2 + 33. Calculate the remainder when d(0) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**2 - 1195*d - 1194 = 0. Calculate d.\nAnswer: -1194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 612643 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -13*a + 721. Let x(z) = 7*z - 361. Determine 6*f(r) + 11*x(r).\nAnswer: -r + 355","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of -10*w**2 - 1\/24*w**4 + 0*w**3 + 0*w + 251\/15*w**5 + 0. Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 6093*v - 66930. Calculate l(11).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/7 in 0.3, 2\/17, -2, 71, 5349?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -551\/4 - -275\/2. Which is the closest to -0.1?  (a) 37  (b) 0.5  (c) -5  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**8\/84 - 4*r**7\/35 - 4*r**6\/15 + 2*r**5\/15 + 3*r**4\/2 + 8*r**3\/3 + 3*r**2. Factor j(o).\nAnswer: -4*(o - 1)*(o + 1)**3*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 3*q + 8. Let a(j) = -j**2 + 4*j - 6. Give a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10660049*d**4 - 71957*d**2 + 128*d.\nAnswer: -255841176*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 809 = 2*g, 2*v + 2*g = 1196 + 392. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -343, 2, -16, 5, 28, 3 in ascending order.\nAnswer: -343, -16, 2, 3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of 0*u**2 - 1\/2*u**3 + 11*u - 3. Let m(n) = 3*n**2. Determine s(m(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 0.1  (c) 2\/47  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/54)\/((-4)\/(-6)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -89 - -124. Let s = 22 - 15. What is the greatest common factor of s and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2119415215.\nAnswer: 5, 173, 2450191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31891 is divided by 3542?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25295, -25288, -25281?\nAnswer: -25274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 74781373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1000 = 369*m - 349*m. Calculate the highest common divisor of 85 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/(-3)*2245\/4. Differentiate -4*t + 2193 + 4*t + 22*t**3 - k with respect to t.\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -685.9998266 - -686. Round o to 6 dps.\nAnswer: 0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2537 + 2529.7. Which is the biggest value?  (a) x  (b) -1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -1. Let o(d) = 2*d - 10. Let f(h) = -3*g(h) - o(h). Let q be f(-10). Suppose -4*b = -15 - q. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -430 greater than or equal to -435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, j: 1, r: 2, w: 1, i: 1, e: 1}. Give prob of sequence jrrw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -318\/14642525 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1145900 rounded to the nearest 10000?\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 964 + 592?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16616933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 12963675521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -112898, -112897, -112896, -112895?\nAnswer: -112894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w = -39 + 999. Suppose t - 2*v - 27 = 0, 2*t = -3*t + 5*v + w. 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: Solve 26*s + 291 + 1149 = -22*s for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.133686 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31 + 33.7. Let q = 2.2 - o. Which is the nearest to 0?  (a) 2\/9  (b) q  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -7*f**2 + 508*f + 1. Let d(g) = g. Determine d(k(y)).\nAnswer: -7*y**2 + 508*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/2)*o**5)\/(o\/(o**(-4)*o)*o*o*o\/(o*o**(-10)*o)*o) assuming o is positive.\nAnswer: o**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -666 - -1333\/2. Let n(l) be the first derivative of -7 + j*l**3 + 0*l + 9\/4*l**2. Solve n(s) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -3*y**2 + 66*y - 57. Give u(-3).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wuxxxewx. What is prob of sequence ux?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(49)\/(sqrt(7)*1) + -4 - sqrt(35)\/(sqrt(20)\/sqrt(4)*1)))**2*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*w = -96*w - 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 972, 1456, 1930, 2400, 2872, 3352?\n\"Answer: l**3 - 11*l**2 + 510*l + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 288, 720, 1312, 2058?\nAnswer: 2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.547 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, n: 2, c: 8}. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -331, -3211, -11299, -27289, -53875?\n\"Answer: -449*h**3 + 90*h**2 - 7*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of u**6\/3 + 6*u**5\/5 - u**4\/2 - 2*u**3 + 1. Factor x(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3037841 less than -0.1234421?\nAnswer: 3037840.8765579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1804\/62053?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.09 + -2.91. Let t be ((-1)\/12)\/((-33)\/(-88)). Put -1, a, t in increasing order.\nAnswer: a, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.22 + 0.12. What is the nearest to v in 4, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -953*d**3*o*t - 6*d**3*t**3 - 4774*d**3 - 2*d**2 + 3*d*t**3 - 16*o*t**3 + 16*o*t + 2 wrt o.\nAnswer: -953*d**3*t - 16*t**3 + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/18 + 2718\/(-162) - -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1327 + -571. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20010110212 (base 3) to base 16\nAnswer: 1d738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-32))\/(1*(-3)\/(-2))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**2 + 11*p + 7. Let f(c) = 2*c**2 - 8*c - 7. Determine 4*f(g) + 3*h(g).\nAnswer: 2*g**2 + g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2*2\/1*44\/(-88)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3548629660?\nAnswer: 2, 5, 29, 6118327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 203 divide 31262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.5908 or 53\/7?\nAnswer: -0.5908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 e, 1 d, and 1 o when four letters picked without replacement from {o: 1, r: 2, e: 1, d: 1, k: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -131?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.6 and -129387414534.\nAnswer: -129387414534.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -297, -590, -881, -1170?\nAnswer: -1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5129 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from umliluirluu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 + 8*s**2 - 5. Let f be a(8). Let x(k) = k**2 + 3*k - 7. Let w be x(f). Solve -w*v = -2*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2108104 or 1\/2?\nAnswer: 1\/2108104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4804.6114 rounded to 1 dp?\nAnswer: 4804.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2. Let o(w) = 1442*w. Calculate s(o(g)).\nAnswer: -2079364*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-5 + 4 + -5 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 5*u - 342. Give r(67).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5285170.463 rounded to the nearest 1000?\nAnswer: -5285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 248590 divided by 21\nAnswer: 248590\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 3. What is the third derivative of 2*j**2 - j**s - 2*j**5 + 3*j**5 + j**5 wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -3*m**3 - 16*m**2 + m - 23. Let x be ((-65)\/15 + 4)*21. What is the hundreds digit of n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 1460*f**3 - 334*f**2 - 2*f + 2. Let g(w) = -1459*w**3 + 347*w**2 + 3*w - 3. Let n(v) = -4*g(v) - 6*q(v). Find the third derivative of n(c) wrt c.\nAnswer: -17544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-seven quarters of a day in hours?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 11*b**2 - 3*b + 28. What is w(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 40.55848mg?\nAnswer: 40558480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r + u + 16, -20*r + 3*u = 517 - 105 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.7482 - 0.7. Let s = t - 0.0145. Round s to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*h**2 + 22 - 15 - 9 + (4 - 4 - 2*h)*(h - 2*h - h).\nAnswer: -6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -764 - 1597 = 4*w - u, -593 = w - 3*u. Let a be 59\/w + (-242)\/(-20). What is the highest common divisor of a and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1410 and 93?\nAnswer: 43710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 19338*x**3 + 2 + 19299*x**3.\nAnswer: -39*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 4, 2\/5, 1648, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -4*i**3 + 3*i**2 - 14*i + 14. List the prime factors of s(-5).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5083 - 132113\/26. What is the common denominator of 1269\/(-162) + (-5)\/((-20)\/(-16)) and f?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -420*m**3 - 7*m + 17. Let z(c) = -2*c**3 - c**2 + 4*c - 1. Let l(o) = g(o) + 2*z(o). Find the second derivative of l(x) wrt x.\nAnswer: -2544*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/6*(5\/(-1) + -1). Let z = 41 + -26. Let d = -11 + z. Put d, m, 77 in increasing order.\nAnswer: m, d, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -0.1, 2, 0.521?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -804 = -5*g + m, 0 = 7*g - 4*g - m - 484. Suppose 10*n = -0*n + g. Solve 0 = 4*i + n - 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2070*s**2 - 32 wrt s.\nAnswer: -4140*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 236056794?\nAnswer: 2, 3, 39342799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**3\/n**(-1\/4)*n**2*n**(2\/15) assuming n is positive.\nAnswer: n**(323\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 12:08 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 194, -8, -2 in decreasing order.\nAnswer: 194, -1\/5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(68)*4 - (0 + sqrt(17) + -4)))**2.\nAnswer: 14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10 - 13 - 1\/1. Let x(j) = j**2 + 4*j - 5. Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, u: 13}. Give prob of sequence us.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -212201 + -210?\nAnswer: -220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t. Let k = -22 - -21. Let y be u(k). Which is bigger: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -227603, -227602, -227601, -227600, -227599?\n\"Answer: j - 227604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000958958799 rounded to five decimal places?\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 858225 is divided by 1314.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -16*a**2 + 971*a - 44. Calculate s(60).\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12338 is divided by 2461.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 15\/(-6)*24\/(-15). Suppose -4*b + 14 = 3*y, -5*y + 5 = 7*b - t*b. Sort -2, -1, b in ascending order.\nAnswer: -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 3 - 3 - 3*s + 6. Let x be d(4). Let v be 6\/5*(-15)\/x. What is the second smallest value in 0, v, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = f + 3. Let q = 2 + 3. Let l be q\/(-8) - 1\/(-4). Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2 - 5)*(3*q - q + 0*q) - 5*q - 6*q + 82*q as l*q + n and give l.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.4 + -2.4. What is the nearest to p in 3, 5, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 121453\/61 - 1991. Is -5 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((320\/(-72))\/(-4))\/(1\/(-9))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/(-2))\/((-485)\/120 - -4). Let k = 11 + v. Let z be 1\/(-5) + (-80)\/k. Solve 0 = g + 2*q - z, 3*q = -2*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 4. Calculate the smallest common multiple of 6 and 8\/((o\/6)\/1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -45 - -25. Let d be (-4)\/((-2)\/u*-1). Calculate the greatest common factor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g**2 - g**2 - 10161 - 2576.\nAnswer: -7*g**2 - 12737","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4058.997966 - -4059. Round h to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/6)\/((-2)\/6). Let h(t) = t**3 - 3*t - 1. Let w(n) = 3*n**3 - 10*n - 4. Let s(z) = 7*h(z) - 2*w(z). Give s(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/606 and -31\/30.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qjtcqccrjcqrqttct. What is prob of sequence qjr?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 268*t**4 - t - 292 wrt t?\nAnswer: 1072*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -3\/10, 10 in increasing order.\nAnswer: -8, -3\/10, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -307, -669, -1241, -1999, -2919, -3977, -5149, -6411?\n\"Answer: 4*a**3 - 129*a**2 - 3*a - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 54495345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 13*c**2 - 2*c - 20. Let j be l(-13). Let t(v) = -v**3 + 4*v**2 + 8*v - 1. Determine t(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6589 + 6594. What is the remainder when 1 + (-1 - 10*-1) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s + 42. Let c be b(20). Suppose c*v = 28 - 14. Let k(g) = g**3 - 6*g**2 - 6*g - 9. Give k(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-85)\/(-51)*(0 + 1\/5). Factor -j*h + 0 + 1\/3*h**2.\nAnswer: h*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 958990782?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by (-18)\/10*-16 + (-12)\/(-60).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 16) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 478 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -537 + 353. Let c = m + 189. Solve -3*v = -5*x + 4, 8 - 2 = -2*v + c*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**2\/13 - 14699208*p\/13 + 27008339478408\/13 = 0. What is p?\nAnswer: 3674802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -0.1  (c) -2\/13  (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-26))\/(g**17*g) assuming g is positive.\nAnswer: g**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 221960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1377) - (2 + sqrt(1377) - sqrt(1377)) - sqrt(1377)) + 2)**2 - sqrt(1377).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -583 + 589. Sort 12, -2, s, -4.\nAnswer: -4, -2, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h + 34 - 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -342*o + 11*o**3 + 0*o**2 - 373*o + 0*o**2 + 713*o.\nAnswer: 11*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 divided by -723920.\nAnswer: -27\/723920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 28 = -54*a - 4*a - 111, -2 = 2*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 9*c**3 + c**2 + 2*c - 2. Let q be t(1). Let v be q + -10 - (-1 - -2). What is the hundreds digit of (-6)\/(-3) + (116 - (v - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 4\/5  (b) -2\/5  (c) 0.1  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from rarrraoarrranarja?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 6957, 5, -0.2 in descending order.\nAnswer: 6957, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -6)*72\/(-126).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 7, 0, -2, -0.26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t + 2. Let d be k(11). Let c = -12 - d. What is the remainder when 1*(-1 + 0) + 24 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 - 11*b - 501. Determine w(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((1*sqrt(143)*4 + sqrt(143) + (sqrt(143) - (sqrt(143) - (sqrt(143) + sqrt(143)*3)*4)))\/((4*sqrt(132)*-2 - sqrt(132))\/sqrt(3)))**2.\nAnswer: 709\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from peppsspssesspsss.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7388 + 22171\/3. Let v(c) be the first derivative of -y*c**3 + 4*c - 1\/4*c**4 + 18 + 1\/6*c**6 + 3\/5*c**5 + 0*c**2. Factor v(p).\nAnswer: (p - 1)**2*(p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 7, o: 1, d: 3, j: 5}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 23814603 divided by -31?\nAnswer: -768213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o - 2. Calculate the remainder when i(-7) is divided by 4\/((-1)\/(2 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2006427 (base 10) in base 16?\nAnswer: -1e9d9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 132519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 PM and 4:08 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*v + 309 = -194 + 428 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 1031*a**4 - 29 + 1035*a**4)*(1 + 1 - 4)*(-5 + 2 + 6).\nAnswer: -24*a**4 + 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2986 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -271 = -90*y - 1891 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**5 + 64*c**4 + 570*c**3 + 900*c**2.\nAnswer: 2*c**2*(c + 2)*(c + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 9*v**2 + 4. Let o be a(-9). Suppose -o*b = -42 - 6. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68676902869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -16611, -0.02, 61?\nAnswer: -16611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10682228749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 7*t**2 + t + t**3 + 54 + t**2 - t - 12*t + 42. Let h be p(-10). What is the greatest common divisor of 592 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 6*j - 5. Let y be d(7). Let z(i) = -3*i**3 + 4*i - 5. Let t(h) = -4*h**3 + 4*h - 6. Let c(m) = 2*t(m) - 3*z(m). Give c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83.5 rounded to 0 dps?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98492 and 4?\nAnswer: 98492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 + q**2 + 24*q + 10. Give b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 8 + 22. Differentiate 10*n**3 + 5*n - 5*n + c with respect to n.\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1174.701 - -1174. Let r = 10.03 + -9.4. Let m = t + r. What is m rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1483 = -3*z - 4*n, 2463 = 5*z + 4*n. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 10:24 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 5*j + 20 = 0. Suppose j*g + 6 = 2. Put g, 5, 3, -4 in descending order.\nAnswer: 5, 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 182530282.\nAnswer: 2, 11, 8296831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -115, -38, 41, 122, 205, 290?\n\"Answer: d**2 + 74*d - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -p**5\/40 + p**4\/4 + 2*p**3 - 5. Let g(j) be the third derivative of h(j). Let s(m) = m - 1. Determine -g(f) - 6*s(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(25\/4)*c**21)\/((c*c\/c**21*c)\/c)**(-5))**(-30) assuming c is positive.\nAnswer: c**(4755\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 11388, 12526, 13664, 14802?\n\"Answer: 1138*u + 10250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11)\/(-4))\/((-47850)\/(-31320)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 913462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (165\/12)\/55*10*10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-76)\/969*3\/2\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 6 = -0. Let n = g + -1. What is the third derivative of -2*f**4 - f**n + f**2 + 3*f**2 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2968\/5 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 3*j = 8. Let v = 5 + j. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(2448) + sqrt(2448)*-3 + 5*-1*sqrt(2448))*3*4.\nAnswer: -1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 68*c + 23067 - 22387 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/75 and -149\/3180.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**2 + 7*o**2 - o**2. Let b(w) be the first derivative of 20*w**3\/3 - 1021. Determine f(b(j)).\nAnswer: 1600*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of s**3 - 3\/10*s**6 + 0*s**2 + 0 + 3\/4*s**4 - 3*s - 3\/10*s**5. Solve d(j) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*h**2 - 154 - 83 + 44*h + 235 to the form f*h + s + u*h**2 and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -38420, -76838, -115256?\n\"Answer: -38418*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -114 - -163. Let c(u) = 18*u**3 - 2*u**2 + 2*u - 1. What is the remainder when t is divided by c(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6*1\/8 + 733\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1355653593 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1501.1035 - 0.1035. Let v = s + -2127. Let j = -625.9999603 - v. Round j to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3512 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*y - 2*y**3 + 38*y + 35*y - 9171 + 0*y**3 + 8475.\nAnswer: -2*y**3 - 696","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15852 by -6.\nAnswer: -2642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13083937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1300*s**6 - 6*s**5 - 2*s**3 - 5351*s**2.\nAnswer: -156000*s**3 - 360*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -3*q**2 - 8*q**2 - 5*q**2 + 14*q**2. Let l(g) = 3*g + 7*g - 15*g - 11*g. What is l(m(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 3*v + 6. Let g(u) = -8*u - 17. Let m(h) = -4*g(h) - 11*s(h). Let w be m(-3). Suppose -p = 10*p + 13*p + 4*p. Sort p, w, -2, 4 in ascending order.\nAnswer: -2, p, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57392328.\nAnswer: 2, 3, 7, 37, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 y when three letters picked without replacement from lryllllrllryrrl?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -3*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 779580101 to the nearest integer?\nAnswer: 27921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -769\/5 not equal to -155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 420 and 419 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**4\/4 - 3750237*g**3\/4 - 11250675*g**2\/2 - 11250663*g - 7500438.\nAnswer: -3*(g + 2)**3*(g + 1250073)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*q**2*u**3 + 1299*q**2*u - 1989*q**2 + 264509*q*u**3 + u**3 wrt u?\nAnswer: 12*q**2*u + 1587054*q*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 67186*i**5 + 12*i + 160.\nAnswer: 1343720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1247.2 + 1246. Let g = 203\/10 + -121\/6. Put g, -4, n in decreasing order.\nAnswer: g, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3840, -7676, -11512?\nAnswer: -15348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*((27\/54)\/((-351)\/(-6)))\/(7\/21).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + 5*h - 4. Let z be f(-6). Let m(y) = 2 - 3*y**z + y**3 - y + 2*y**3 - 4*y**3. Let s be m(-2). Solve j + 3*a + s = 6, 0 = -5*j + 5*a - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -50 - -63. Suppose -2*q - 4*l - d = -3*q, 4*q - 18 = -l. Solve q*u + 15 + 5 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - 5 + 5)*(0*l - l + 0*l)*(3 - l - 1 - l).\nAnswer: -4*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 10*r**2 - r. Let s = 2 + -2. Let p = s - -1. Determine y(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - x**2 - x - 1. Let n(z) = -7*z**3 + 8*z**2 - 7*z - 1. What is -6*k(y) - n(y)?\nAnswer: y**3 - 2*y**2 + 13*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/10810 and 107\/1150.\nAnswer: 54050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1554317471?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.89997 - 0.\nAnswer: -0.89997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 5:55 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(((-1)\/21)\/((-3)\/(-3))). What are the prime factors of r\/2*2\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 126075. Let m be i(0). Let c = m - 387925. What is c rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2988444*v**3 + 6834*v**2 + 35*v.\nAnswer: 17930664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/48300 and -167\/8400.\nAnswer: 193200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -9. Let f be -4*x*1\/2. Let n = -115 + 116. Solve -g - n = -f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -175, -207, -253, -307, -363, -415, -457?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9657, -20366, -31095, -41850, -52637, -63462, -74331?\nAnswer: -85250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of -3*o**5\/10 - o**2. Let t be (15 - (-10)\/5)*1. Let f(m) = -t + 33 - 16 - 2*m. Determine f(k(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 9) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2523973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (247*t**4 - 485*t**4 + 110*t**4)*(-1 + 3 + 0) - 2 + 2 + t**4 - 3*t**2 + 3*t**2 - t**4.\nAnswer: -256*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*q + 8*q = 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -8. Suppose 0 = 4*q - g*q - 10. Solve 0 = -p + 5*c - 17, p + 3*p + c + q = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40, 146, 324, 574, 896, 1290, 1756?\nAnswer: 2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-44)\/(-19)*209\/22. Solve -h = -46*r + 35*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 181 - 73. Let k = l + -18. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(270)*-4)\/sqrt(6) + 4 - sqrt(90)\/(sqrt(288)*1 + sqrt(288)).\nAnswer: -97*sqrt(5)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7531 = 1188*z + 60017 + 2544 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 - 9. What is the biggest value in 2, 2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**(1\/61)\/((y\/y**(5\/4))\/(y*y**(3\/4))))\/((y\/y**(-2\/17))\/((y\/(y\/(y\/(y\/y**(-1\/5)))))\/y))**(-28) assuming y is positive.\nAnswer: y**(346761\/5185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -1, 69, 289, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**3 - 54*t**2 + 2*t + 14879. Let d be f(0). Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 8*m**2. Let x(d) = -13 - 1 + 2*d - d + 1. Let h be x(14). Calculate k(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -740918\/3 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f + 4*f**2 + 2*f + (671*f + 323*f + 86*f)*(-f + 0*f + 0*f).\nAnswer: -1076*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 15, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4075, -4344, -4615, -4888, -5163, -5440, -5719?\nAnswer: -6000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 30 and 113?\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.99969 + -6. Round x to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -f**6\/15 - 5*f**2\/2 + 5*f + 1. Let i(y) be the first derivative of d(y). Differentiate i(x) with respect to x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215476787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l - 2*l - 4*l - 17 + 5*l.\nAnswer: -2*l - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**2 + 22*k - 59. Give t(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 112\/54 + (-198)\/2673. Suppose 0 = 2*d - d + z - 23, -d - 4*z + 20 = 0. Solve -d + 30 = u*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49092 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 154*o - 6531. What is the units digit of w(80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/3)*r**(17\/5))**(-5\/8) assuming r is positive.\nAnswer: r**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 - 256?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 4*s**3 + 2*s - 3. Let d be b(1). Suppose 2*w = d*z - 56, 4*z - 43 - 43 = -3*w. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -4337*r**2 - 10. Let j(t) = -114928*t**2 - 264. Determine 132*h(k) - 5*j(k).\nAnswer: 2156*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 340*l**2 - l. Let i be o(1). Suppose 4*c + i = 7*c. Is (0 + 1)\/(1\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-14)*(3 - (-5)\/10). Let z be (-3)\/(-12) - ((-6)\/21 - 679\/196). Which is the closest to -8?  (a) z  (b) -1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {b: 1, x: 6, y: 4, u: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 - 0.16. Let f = g + 0.36. Let r = 5 + -5. Which is the nearest to r?  (a) f  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -115046, -230781, -346516, -462251, -577986?\n\"Answer: -115735*q + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.138 + 0.07. Let m = d - -0.048. What is the smallest value in m, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3904, 7815, 11848, 16003, 20280, 24679, 29200?\nAnswer: 33843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 4:10 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2754813 - -6938968. Let p = -4184096.99901 + u. Let h = p - 58. Round h to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 31\/5 of a century?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 76*f - 2290. What is c(30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00011862 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 229 - 235 = -6*c. Let i be 399\/950*(-16)\/(-14). Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 12 = 3*z, -4*z + 10 = 2*b - z. Suppose g - 4 = -4*j, 2*g + j = -b*j + 18. Let d = 10 + -2. What is the smallest common multiple of d and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 3*sqrt(192) + sqrt(192) - 1*(sqrt(192) + (sqrt(192) - sqrt(192)*3) + sqrt(192)))**2*3 + 0.\nAnswer: 768*sqrt(3) + 9264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -92710 - -160638. Let f = -37928 + l. What is f rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/((-455)\/30))\/((-4)\/(-7))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.286 - -0.114. Is c smaller than 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/(-4))\/(2\/(-8)). Let g(y) = -2*y**3 + 3*y**2 + y. What is the tens digit of g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 3*s + 84, 0*j + 4*s + 21 = j. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-2 - (1 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 - 5*g**2 - 10*g - 1. Let b(f) = 1 + 4 + 9*f - 1 + 3 + 8*f**2 - f**3. Let p be b(9). What are the prime factors of y(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1918 + -14)\/7)\/(-4 + (-4)\/(-2)). Calculate the greatest common divisor of n and 20631.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 - 7*m**2 + 16*m + 31. Let c(z) = -7*z - 2. What is the remainder when y(3) is divided by c(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 times 0.058275?\nAnswer: -1.04895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -129\/70 and -15\/77.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*f**2 - 116*f + 116*f - 9 to the form o + p*f + t*f**2 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.6  (b) 67  (c) -4  (d) -8  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1495054208 - -0.235?\nAnswer: -1495054207.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from vevemgnp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**2 - 4292*u + 264713. Give j(60).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 - 7*k**2 - 5*k + 2. Let c(x) = -x**2 - 17*x - 76. Let b be c(-9). Determine l(b).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 1 = 2*x. Which is the second smallest value?  (a) x  (b) -3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000460108 rounded to 6 decimal places?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1577 + -4254?\nAnswer: -2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4125 - 167?\nAnswer: -4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6583, -52503, -177129, -419815, -819915, -1416783, -2249773?\n\"Answer: -6559*g**3 + g**2 - 10*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3157 - 3157. Which is the nearest to 0.3?  (a) 0.4  (b) 98  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ojooiijxiiinipoiojix. What is prob of sequence xni?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 101 - (-37 + 68 + (11 - 32)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-6) - (-33)\/9. Suppose 0 = -4*h - 20, -4*h - 20 = -z - 3*z. Let t = -7298 + 7325. Solve z = 4*u + 20, -v*u - t = 4*r - 0*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16.6800438 + -16.68. Round k to 6 dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -433 (base 6) to base 14.\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (237\/((-161634)\/3472))\/(5\/(-11)).\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -57*n - 3. Let h(t) = 113*t + 7. Give -2*h(m) - 5*v(m).\nAnswer: 59*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2005, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 586\/1821, -1\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**0\/b**24 assuming b is positive.\nAnswer: b**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by -13\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -334, 1, -708 in decreasing order.\nAnswer: 1, -3, -334, -708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 31\/(-70) - 45\/(-150). What is the fourth smallest value in 7, -3, j, 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 49596*n**5 + 3088*n wrt n?\nAnswer: 991920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p**2 + 1. Let t be b(-1). Let g be ((-15)\/4)\/((-58)\/464). Solve t*y + 5*l - 2 = -7, 4*y - g = 2*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -5*o + 8. Suppose -4 = -0*m + o*m. Which is the nearest to 0?  (a) 2\/11  (b) m  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 247727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2775119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 395*b**3\/6 - 5*b**2 - 12*b. Let u be i(3). Suppose 0*d - 3*d + u = -2*f, 3*f + 3 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + -72 + (-39 + 44 - (7 - -2)) + -3?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*n**3 + 3*n**3 + 133*n**3.\nAnswer: 142*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*h**3*i*k + 7764*h**3*k + 25436184*h**2*i*k + 4*h*k + h with respect to i.\nAnswer: -11*h**3*k + 25436184*h**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 135495 and 4501445?\nAnswer: 40513005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y**3 + 24*y**2 + 92*y - 49. What is the hundreds digit of i(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, a: 8, l: 3}. Give prob of sequence aag.\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1553758 or 1553771?\nAnswer: 1553771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 + 5*y**2 + 6. Suppose -5*s + 15 = 0, 27*b - 29*b + 5*s = 5. Give q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30202 - -3222?\nAnswer: 100030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2309 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5976389, -5976379, -5976369, -5976359, -5976349, -5976339?\n\"Answer: 10*p - 5976399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a**3 - a**2 - 1. Let l be u(-4). Let c = l - 38. Suppose 4*k = c + 11. Solve -5*y + k = h, 5*h = -3*y - 5 - 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 2\/5  (b) 2\/3  (c) 5\/4  (d) 1\/11  (e) 31  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/16 of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, j: 7}. Give prob of sequence qqjj.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 4*q + 61. Let u(w) = 2*w + 31. Determine -3*m(r) + 5*u(r).\nAnswer: -2*r - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*t**2 + 4*t**2 - 1 - 5 - 127*t**2.\nAnswer: -112*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from didiqfc. What is prob of picking 1 f and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5070)\/(-115) + 6\/(-69). Solve -11*f + 0*f = -z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(4 - 2 - 1)*(5*k - k - 3*k) + (k - k - 2*k)*(3 - 1 + 2).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -128683 bigger than -128682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - (-2)\/(6\/15). Suppose -z*p + 75 = 1. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93 + 2*x - 32 - 41.\nAnswer: 2*x + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-5)*b)**16*(b\/(b*b**(-11)))\/((b\/(b**(2\/41)\/b))\/b*b) assuming b is positive.\nAnswer: b**(4963\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 7*i - 520. Let g = i - -221. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10111011100110110 (base 2) in base 12?\nAnswer: -47706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/4038  (b) -71  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*l + q - 13, -2*l + 4*q = 2336 - 2228 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (13 - 11 - (-5 + 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -651 + 456. Let h = f + 191. Which is the second smallest value?  (a) -26  (b) -5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/271772 and -91\/90?\nAnswer: 12229740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 230, 533, 976, 1571, 2330?\nAnswer: 3265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + 4. What is the remainder when 38 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2331 and 3293378991?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -3*d + 3, -5*z + 2 = -13. Solve 3*c - d = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -39*b - 43*b + 81*b in the form t*b + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of -2*o**3\/3 + 1148. Let j(s) = -33*s**2. Determine k(j(g)).\nAnswer: -2178*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3b5c7a (base 15) to base 4.\nAnswer: -22320330202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p + 13. Let d be k(-8). Let f = -6 + 8. What is the third derivative of d*j**3 + f*j**3 - 3*j**3 + 3*j**2 wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 30 - 6 = 0. Let o = j - 4. Suppose -12 = -5*k + 3*v, o*v = -4*k + 4*v + 10. Put 0, -2, k in ascending order.\nAnswer: -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -61 - -59. Let q(o) = o**2 + o. Let y be q(p). Suppose 2*g - h = 23, -4*g + 6*h - y*h = -52. Solve g = -a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (9\/(162\/4))\/((-8)\/141698). Let z = r - -3940. Calculate the common denominator of 65\/308 and z.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 502342 and 2.3.\nAnswer: 1155386.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2068 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of o**3 + o**2 - 3. Let u(p) = -p**2 - p. Let v be (2\/3)\/((-2)\/(-3)). What is v*q(b) + 2*u(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/((-230)\/(-70)))\/(-3)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2. Let f(u) = 2*u**3 + 7*u**2 - 3*u. Calculate f(i) - 4*p(i).\nAnswer: 2*i**3 + 3*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -32*d**3 - 185*d**2 - 2*d - 58283?\nAnswer: -96*d**2 - 370*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196 divided by -7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/119 and 69\/8.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1429 divided by -12\nAnswer: -1429\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -10*m - 55. Let s be r(-18). Let j(c) = -129*c**2 + 274*c**2 + 33 - s*c**2 - 20*c - c**3. Is 16 a factor of j(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6120*t + 38*t + 15226*t + 12907*t.\nAnswer: 22051*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - y = 22, 2*k - 3*y - 98788 + 98792 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 130*c - 56*c + 36*c**2 - 74*c - 17 + 75*c**2 to the form u*c + o + z*c**2 and give z.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {n: 8, f: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 - 6*m + 15. Suppose 3*o + 4*a = 36 - 4, -16 = -o - 4*a. Is b(o) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 646 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-208)\/(-1) - -3 - -3. Suppose 4 = -s + 6. Is w\/10 - s\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u = 12*u - 12. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0727 - 0.1273. What is the second biggest value in 0.3, -38, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 - -60. What is the greatest common divisor of b and 273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -5  (c) 1\/10  (d) -1  (e) -1\/6  (f) -0.1489  (g) -21\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of -t**4\/4 - 17*t**3\/3 - 33*t**2 + 5*t - 210. Let m be y(-11). Which is the closest to 2?  (a) 1  (b) 2  (c) 18  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1755\/(-546)*42\/36 and (-46)\/(-12)*(-6)\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -113300 (base 4) to base 2\nAnswer: -10111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0184 - -7.0416. Let z = i - 7. What is z rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 37 + 12*a + 19*a**2 + a**3 + 8 + 1 + 9. What is the tens digit of s(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a - 42. Let k be q(21). Is 14 a factor of (k\/(-9))\/((-8)\/(-180))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 0 - 3*k + 5*k + 0. Let v(f) be the third derivative of f**5\/30 - f**2. What is v(p(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-30)\/30)\/(3\/(-9) + 0). Suppose 45 = 4*d + p + 21, v*d - 25 = p. Let a(u) = u + 2. Give a(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 301593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -21*h - 246. Give l(-9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1484, 1496, 1506, 1508, 1496?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.703 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*u**3 - 1 + (-u + u + u**3)*(-3 + 5 - 1) + u**3 + 1 - 1 + 2*u**3 + 3*u**3 - 2*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28 and 404.\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 + 117*k - 4838. Let a be p(33). What is the highest common factor of 5992 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-14) - 5\/7. Let w(x) = -x**3 + x**2 + 4*x + 3. Let b be w(3). Suppose 0 = -817*r + 776*r - 82. Sort h, r, b, 14 in decreasing order.\nAnswer: 14, h, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13747432 and 1.\nAnswer: -13747432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 663 - 660. Let m be (1 + 0)*1 + -1. Suppose h - 3 + 0 = m. What is the remainder when i is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6388*a - 3193*a - 3251*a + 1008 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1189262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -165082 - -165081.99599914. Let m = 0.204 + -0.2. Let v = d + m. What is v rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-15) - 1\/(5\/(-76752)). Let r = -60767\/4 + g. Let w = r + -159. What is the second smallest value in -0.5, w, 1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9803273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1.4, -3.6, -2, 33, 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v**2 - 9*v - 4. List the prime factors of m(11).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -834 - -737.9. Let k = 96 + z. Which is the smallest value?  (a) -0.4  (b) 0  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mww when three letters picked without replacement from {w: 12, m: 3}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -455.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26322 and 89238?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of g**2 + 222. Let x(t) = 2*t**2 + 31. What is x(s(h))?\nAnswer: 8*h**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6329 - 6324. Let u = 27 + -29. What is the third smallest value in u, 0.72, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 248\/(-93)*-9*2\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 14\/85, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -3*c**2 - 6. Let d = -9 + 13. Let i(h) be the third derivative of h**5\/60 + h**3\/6 + 10*h**2. Let v(n) = d*i(n) + z(n). Determine v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3803 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 + 4)*(-2*j - 3 + 3) - 2*j + 10 + 4 - 16.\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -30 - (8 - (5 + (-13 - 0)))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(3\/(-3)*1). Let c = 39 - 39.5. What is the nearest to n in c, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -701.3 - -701.2881. Which is smaller: f or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**3 - 23*l**2 + 179*l + 2008. What is h(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-178964)\/54)\/(3 - 4). Let g = -3312 + p. Let r = 1595\/378 - g. Find the common denominator of -91\/2 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-1 + 11 + (-1 - 5) - -15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from jjldvdjjjnvd.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - -3 - (12 - 23) - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*258\/21*-3*(-63)\/(-108).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6282.21502 to the nearest integer.\nAnswer: -6282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50932469 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -f**5 + 0*f**5 + f**2 - f**5 wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/6008 and -103\/255340?\nAnswer: 510680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 29 or -515357?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/17)*v**(-2\/3))**(-44)*((v*(v*v\/((v*v**(-1\/7))\/v))\/v)\/(v\/v**(-2\/9)*v))**(-31) assuming v is positive.\nAnswer: v**(39595\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -2*x - 5 - 5, 2*r = 4*x - 10. Suppose -10 = -2*t, 0*t = -s + 3*t - 18. Sort x, s, 1 in descending order.\nAnswer: 1, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((113 + -202)\/(-3293))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sgms when four letters picked without replacement from {g: 5, k: 1, m: 6, s: 6}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-48)*3*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of 4*b + 0 - 5\/6*b**3 + 11\/2*b**2. Find the first derivative of d(c) wrt c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -4. Let i be ((-1)\/(-2) + p)*10. Suppose y - 5*y - 13 = i*u, 6 = -4*u - y. Put u, -4, 3 in ascending order.\nAnswer: -4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1223 - -0.0264. Round t to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.878 + 0.078. Let f = -12869696 - -12869689.199919. Let r = f - z. What is r rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -12*s**3 - 5056*s**2 + 3376*s = 0.\nAnswer: -422, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -76472 or -76481?\nAnswer: -76481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**2 - 17*v + 17. Calculate i(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 9*o**3 + 39*o**2 + 8*o + 28. Determine s(-7).\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 14 + 22 = 0. Solve j*t + 5*g = -33, 3*t - 4*g = g + 19 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 1:21 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -211 - -216. Let x(d) be the second derivative of d**5\/20 - 5*d**4\/12 - d**2\/2 - 9*d - 1. Give x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00063679 to 6 dps.\nAnswer: -0.000637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4.1 and -4126502?\nAnswer: -16918658.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - 6*r**2 + 6*r - 12. Let y be l(6). Let z be (-2)\/6 + 296\/y. Calculate the greatest common factor of 96 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1271630092.04 - -427.\nAnswer: -1271629665.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -963 - -962.999299. What is a rounded to five decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 791, 762, 745, 746, 771, 826, 917, 1050?\n\"Answer: h**3 - 36*h + 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1048, 1060, 1074, 1090, 1108, 1128?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28301814 to the nearest integer?\nAnswer: 5320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -335*f**2 - 45748*f + 45748*f as z*f**2 + t*f + q and give z.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 PM and 9:53 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 5*b + 1. Suppose f = -f - 4. Determine o(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -13. Suppose 0*v - h*w = v + 14, 6 = -4*v - 2*w. Calculate the greatest common factor of 2 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/5 - 212*p**2\/5 - 643*p\/5 - 86.\nAnswer: (p - 215)*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007458852 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 26323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -36858 + -27?\nAnswer: -36883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 3:34 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 17.47552g?\nAnswer: 17475520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2\/4 - 335*i\/2 + 330.\nAnswer: 5*(i - 132)*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -241*d**2 - 124*d. Let u(p) = -720*p**2 - 373*p. Let v(s) = -3*u(s) + 8*y(s). What is the second derivative of v(c) wrt c?\nAnswer: 464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(2\/7))**(-23)*m**(-3)\/m**(-1\/2))**21 assuming m is positive.\nAnswer: m**(-381\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (673 + 134*q - 673)*(-5 + 5 - 1)*(-7*q**4 + 5*q**4 - 6*q**4).\nAnswer: 1072*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 847702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39 + 32 - 120*z**3 + 7.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-5*2\/30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -11*l. Suppose -s + 8*s = s. Let w be u(s). Solve 0 = 2*t + 4*q + 4, w = -3*t - 3*q - 0*q + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d - 2*d + 34. Suppose 54*h - 71*h = -85. Suppose 112*v - 9 = -h*x + 113*v, -v = -2*x + 6. Calculate the highest common factor of x and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5142 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 0)*(-25 + m**2 + 25).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133*s = -141*s + 3912. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/20)*i)\/((i*i\/i**(-3))\/i)*i**(-11)*i*i**(-2\/29)*i*i*i assuming i is positive.\nAnswer: i**(-5869\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4016 and 24689?\nAnswer: 99151024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence epn when three letters picked without replacement from {n: 6, e: 1, p: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by 95?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1855 divided by -5\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - s**2 + 8*s - 36. Let a be h(4). Is a less than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 30 = -5*t + 2*t, -2*n + 11 = t. Suppose -t*j - 2064 = -j. What is the tens digit of j\/(-16) + 1\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4870 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-637 - 132 - 644 + 111)*(-4*l + 2*l**2 + 4*l) to the form t*l**2 + u + c*l and give t.\nAnswer: -2604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, a: 1}. Give prob of sequence rar.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2\/9, -0.2, -0.01, 5, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, 2\/9, 0, -0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -6. Suppose -2*u + 0*a = 3*a - 13, 0 = 5*u + d*a - 25. Suppose 0 = k + u*k - 54. Calculate the greatest common divisor of k and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*d**2 - 5*d + 5*d + (0 + 0 - 2*d + (3 - 1 - 1)*(-d - d + 0*d))*(-638 + 638 - 72*d) as b*d + x + h*d**2 and give h.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -1.5.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**4 - 4692*h**3 - 2756448*h**2 - 472557888*h + 2935595520 = 0. Calculate h.\nAnswer: -1560, -396, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -23193 - 550.59?\nAnswer: -23743.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 235111?\nAnswer: 235111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2 - 4*a - 4. Let k(d) = 3*d**2 - 5*d - 5. What is -4*k(v) + 5*q(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10412144 and 16.\nAnswer: 10412144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 5) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -33.132 + 1591.832. What is p rounded to the nearest ten?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 5*l - n, 24 = 4*l - 2*n - 2*n. Let q be (6\/(-24))\/((-14)\/l). What is the second biggest value in -2\/3, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 132311 - -102?\nAnswer: 133013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b - 291 = -382 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -48 - 41*n - 9*n + 21 - 21*n + 8 as s + q*n and give q.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 7. Suppose 5*o - 3 = h*z - 4*z, 3*o - 7 = 2*z. Let f = 24 + -145\/6. Is f equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 89, 150, 175, 158, 93, -26, -205?\n\"Answer: -r**3 - 12*r**2 + 104*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 14*u**2 - 7*u + 4. Let q(l) = l**3 - 14*l**2 - 6*l + 5. Let b(w) = -6*q(w) + 5*z(w). Calculate b(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 13 = -3*j, 2*x - 33*j = -48*j - 71 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7732.599ng?\nAnswer: 0.000000007732599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (121\/(14762\/122))\/((-10)\/16).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 355781674.\nAnswer: 2, 177890837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/8?  (a) -1\/2  (b) -268.2  (c) 7  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 360 + -5?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2 + -1 + sqrt(448) + 4 + sqrt(448) + -5 + 0 + sqrt(448) + (-6*-2*(3 + sqrt(448)))**2.\nAnswer: 6936*sqrt(7) + 65807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22\/469 - -828\/2345. Which is the closest to -176?  (a) 0.3  (b) o  (c) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.78 or 1.1?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, -15, -9, 13, 57, 129, 235?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 389664 and 906264.\nAnswer: 119626848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1300) - 1*sqrt(1300))**2 + sqrt(1300))*1 - -3*2*sqrt(1300).\nAnswer: 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 92899397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 191*w - 6266. Calculate the remainder when h(34) is divided by 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*o - 4615861 - 516309 - 3230591 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 123*n. Suppose -1930 - 666 = -22*i. Let z(t) = -i*t**2 + 65*t**2 + 55*t**2. Give z(w(o)).\nAnswer: 30258*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -234 + 120*v - 3\/2*v**2 = 0.\nAnswer: 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.063 in -1, -2, 16763?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 207134425.\nAnswer: 828537700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4242564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1111122201111 (base 3) to base 5.\nAnswer: 201101424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.752 to one dp.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.31 + -0.11. Which is the closest to 1?  (a) -5  (b) h  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooww when four letters picked without replacement from {w: 11, n: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 129549403.9136 and -97.\nAnswer: 129549306.9136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b - 1. Let v(c) = -c**2 - 6*c + 1. Let t = 126 - 130. Let p(q) = t*g(q) - v(q). Find the second derivative of p(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -296282739*q**2*z**2 - 121*q*z + 1113283*z**2 wrt q?\nAnswer: -592565478*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 133 + -181. What is the common denominator of (14\/315)\/(c\/10) and -40\/3?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22232 (base 4) in base 10?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 3:37 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/12 and 43\/13113?\nAnswer: 52452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 2*b + 480, -2*b - 2*b = 4*g - 476. Suppose 7*z + 1094 = g. Round z to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (18\/(-12))\/((-2)\/(-4)). What is the closest to 0.2 in u, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11640.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/4)*q)\/(q\/(q*q**4))*q*q**(1\/10)*q*q\/q**(5\/3) assuming q is positive.\nAnswer: q**(401\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16922572 and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -12  (b) -5\/4  (c) 0.3  (d) 1  (e) -1.66  (f) -3  (g) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 + 5*h**2 + 1. Give a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -4*j**2 + 4. Let b(w) = -8*w**2 + 17*w + 8. Let h(m) = -m**2 + 2*m + 1. Let f(i) = 6*b(i) - 51*h(i). Determine -3*f(g) - 2*y(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -8 - 296*r - 796*r - 945*r + 498*r. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/641505517 or 0?\nAnswer: -1\/641505517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 16, 112, 280, 532, 880, 1336?\n\"Answer: 2*f**3 + 24*f**2 + 10*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**2 - 234736*o - 234734 = 0 for o.\nAnswer: -117367, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -131 - 616*1529\/(-7228).\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 1:03 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 6 - 68*q**2 to z*q + y*q**2 + p and give y.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/1)\/(7\/7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-1\/4)*z**9)\/((z*z\/((z\/(z**(-11)*z)*z)\/z))\/(z\/(z*z**(-1)))) assuming z is positive.\nAnswer: z**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of 10*z**3\/3 - 31*z**2\/2 + 7*z - 71. Is x(8) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, l: 2, s: 2, k: 3}. Give prob of sequence st.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 7 + 21*k + 2 to the form i*k + u and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20381052 = 15*x + 81911052. What is x rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 286, 287, 288, 289?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10*(-236)\/(-118)*(-1)\/(-2). Let z = -5849 - -29073\/5. Let u = 34 + z. What is the biggest value in u, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5537*c + 2705*c + 2757*c + 2175 = 0 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rssrsvvvcsaszaavvrs. What is prob of sequence zr?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14259989*y**3 - y**2 - 1162*y - 1624.\nAnswer: 85559934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q - 11*q - 12 = 0. Which is greater: -11 or q?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 2*sqrt(931))**2 - (-6*1*sqrt(931))**2) + ((0 + -1 + sqrt(931) + sqrt(931))**2 - 5*1*sqrt(931)).\nAnswer: -26042 - 203*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-6 + (3 - 0) - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*i - 8*i - 29 + 40 wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h - 1. Let i be k(2). Suppose -5*o = 3*x - 24, 12 = x + 4*x - o. Suppose -z + 3*y + 29 = -x, 0 = i*z + y - 46. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2005 + 2927 + v**2 - 1945*v + 1946*v.\nAnswer: v**2 + v + 922","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 12*b**2 - 138. Let w(x) = -5*x**2 + 69. Calculate 2*h(n) + 5*w(n).\nAnswer: -n**2 + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 228913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -246085 (base 9) in base 3?\nAnswer: -21120002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 98 - m**2 - 13*m**2 + 2*m + 15*m**2 + (-m + m + m)*(-1 + 1 + 2*m).\nAnswer: 3*m**2 + 2*m + 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1c1aa8 (base 14) in base 3?\nAnswer: -1212222202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 6*f - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 40 = 8*f. Let h = f + 107. Let v = h + -46. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -6. Let w be (-70)\/4*(-780)\/273. Suppose -44*x - 24 = -w*x. Solve 4*c + 20 = n*z, -7 = -x*c - 23 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r - r + 2*r - 1. Let x be 24\/264 + (-76)\/(-11). Let i(a) = -a**3 + 6*a**2 + 11*a - 25. Let q be i(x). Calculate w(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 - 50. Let g = 16.4 + n. Let y = g - 1.9. Put -5, 3\/5, y in decreasing order.\nAnswer: 3\/5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -5*p**3 - 7*p**2 + p + 68. Let j be m(-8). Suppose 2*d - j = 3*o, 4*d - 2*o - 1265 - 3079 = 0. What are the prime factors of d?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 + 11 + 0 - 2. Let l be 0\/((3 - 6) + b). Suppose l*u - 345 = -5*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -0.1, 4, 50, 3\/7.\nAnswer: -0.1, 1\/5, 3\/7, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 5\/2. Let x = 24 + -26. What is the third biggest value in x, d, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (27\/(-36))\/(12\/(-48)). Let j(o) = -o + 6. Determine j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*k + 40*k - 5317*k**3.\nAnswer: -5317*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -2.4, 1 in decreasing order.\nAnswer: 9, 1, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4*d = 55 - 19, -44 = 3*r + d. Let q be (3 - 0) + 7\/(r\/(-2)). Solve 5*u + q*h + 31 = 0, -3*h + 0 = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of (-4)\/(-12) + (-6 - 1768\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1209 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f. Let o(g) = -5538*g**2 + g + 4. What is n(o(s))?\nAnswer: 11076*s**2 - 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 83471 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c + 46. What is t(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + -14e6502?\nAnswer: -14e6507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -52\/5, 5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 2\/18 + (828\/1449 - 32\/126).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -29875 (base 12) to base 8\nAnswer: -161631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 82\/(12628\/759) + (-1 - 4) + 1762\/(-28)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1216 is divided by 129.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003811 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -4\/9  (b) -5  (c) 3\/5  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -813, -812, -811, -810, -809?\n\"Answer: g - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*v**3 - 6*v**3 - 2 - v**2 - 17*v - 8*v**3 in the form k*v**3 + s*v**2 + b + t*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -67 by 45.\nAnswer: -67\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/(-28))\/(8\/16). Put 0, y, 6 in ascending order.\nAnswer: y, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96460657 and 1784.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + k + 1 - 5)*(-18 + 42 + 27) - 49*k - 14*k - 3*k.\nAnswer: -15*k - 306","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -99 + 102.1. Let n = w + -3. Let s be 14\/20 + (-7)\/35. Which is the third biggest value?  (a) s  (b) n  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 0.085?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2124739936 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2 = 6. Suppose -o = p*g - 5, 3*g - 5 = -2*o + 5. Solve -3*b + b = g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7, 0.4, -5, -2\/9, -105?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4991497451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7632\/2862)\/((-12)\/(-153))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1165746 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/(-2)*(7\/2 - (-335)\/(-134))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15285*v - 15250*v - 105 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.17584  (b) 1  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*t - 17*t + 5*n + 15, t - 4*n = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1117662 (base 9) to base 12.\nAnswer: -250948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -3*b**3 - 118*b**2 + 86*b + 237. Calculate i(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 117*-1\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/838 and 69\/38258?\nAnswer: 16030102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c**(1\/2)*c)*c**(-5\/3))**5\/(c**(-4)*c\/((c*c**(-2\/21))\/c)*c)**26 assuming c is positive.\nAnswer: c**(1835\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*s**2 + 4*s**2 - 279*s**3 + 52*s**3 - 442*s**3 in the form r*s**2 + p*s + n + a*s**3 and give a.\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 16 = -4*x, -3*x - j + 3*j = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/((-42)\/12) + 85\/24 - 0 and -43\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 570.6652ml to litres.\nAnswer: 0.5706652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - 21*y**2 - 9*y - 5. Let i(x) = 6*x**2 - x - 15*x**3 - 5*x**2 + 14*x**3. Let s(o) = f(o) + 6*i(o). Factor s(d).\nAnswer: -5*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.19, -2, 1\/4 in decreasing order.\nAnswer: 4, 1\/4, -0.19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -40*i - 164. Let u be o(-5). Suppose -3*z - b + 773 = -z, 3*b = 2*z - 753. Calculate the highest common factor of z and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -9*s + 20. Suppose 0 = 2*i + c - 20, -i - 3*c + s + 9 = 0. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 0. Suppose f = -2*g + 83 - 13. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/186188 and 39\/5162.\nAnswer: 5399452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 1\/4  (b) 0  (c) 119  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1060823700*g**2*q + 857766481*q with respect to g.\nAnswer: -2121647400*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 7 - -7 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43095\/4 + 1206721\/112. What is the common denominator of -113\/20 and x?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-2)*z**(-36)\/z)**(-2\/59) assuming z is positive.\nAnswer: z**(76\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 8:42 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**5 - 7*p**4 - 17*p**3 - 17*p**2 - 6*p = 0. What is p?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1580 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 4 = -4*k. Solve -k*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2586021 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(1\/3))**(-1\/14)*(g*g*g**(-2\/3))**(-6\/11) assuming g is positive.\nAnswer: g**(-179\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -0.53\nAnswer: -1.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9253580 is divided by 4626779.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17532 + -11331. Suppose -32*u + 37*u - 2*c = s, 2*u + 2*c = 2472. List the prime factors of u.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67623 times -6\nAnswer: 405738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 5:29 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, 2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-49*(-2)\/35)\/((-4)\/10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 - 0.0633\nAnswer: 0.4367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -14 and 2837.\nAnswer: 2823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 19\/2 - (2 + (-7)\/2). Let b(q) = -q + 293. Let j be b(0). Let r = j - 205. What is the greatest common divisor of r and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5\/2, 5, 2.3, 1\/11, -0.03?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 187 and 476?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25 + 9 + 180*h - 1003*h**2 + 9 + 0*h + 11 wrt h.\nAnswer: -2006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 55*a**3 + 2*a**2 - 32*a**3 + 3 - 6 - 30*a**3 to b*a + s + l*a**2 + k*a**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-324)\/405)\/((-108)\/(-210))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106429929.\nAnswer: 3, 35476643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of b**6\/15 - 8*b**5\/35 - 4*b**4\/7 + 64*b**3\/21 - 16*b**2\/7 - 2*b - 43. Let u(m) = 0. What is m?\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 15 + 5, 5*v + 5*i - 35 = 0. Suppose v*m + 2*a - 24 = -0*a, 5*m - 5*a - 15 = 0. Are 4 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210 - 11?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -721.4 and -34575?\nAnswer: 33853.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 320 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 3)*(0 + 0 + 2)*((-2 + 3 - 2)*(7*x**3 - 2*x**3 - 2*x**3) - 16*x**3 + 17*x**3 - 21*x**3 + 2 - 2 - 3*x**3).\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -4*m**2 + 5. Suppose p = -3*g - 10, -p - 2*g + g - 2 = 0. Let v(i) = p*i**2 + 84*i - 84*i. Give o(v(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 + (-9)\/2 + 3. Let g(m) be the first derivative of 0*m - 1 - r*m**2. Let p(b) = 2*b. Calculate p(g(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*f + 471*f + 34*f)*(f**4 - 2*f**4 + 2*f**4).\nAnswer: 524*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11)\/(154\/32) + (-2)\/(-7). Suppose -2*y = -0*y + 6. Which is greater: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/5?  (a) -1  (b) -0.5  (c) 222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 173 - 128. What is the remainder when 269 is divided by n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114432796?\nAnswer: 2, 28608199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of p**4 + p**3\/3 + p**2\/2 + p. Let c be w(-4). Calculate the common denominator of 53\/10 and 2\/(-8) + c\/28.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -5*u + 3. Let a be w(-6). Suppose 0 = 4*f - f - a. Let t = 46 - f. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38804147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2821 or 1379204\/489?\nAnswer: 1379204\/489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1925350 divided by -49?\nAnswer: -275050\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2 + -0.18. Let a = 674.2 - 673.2. Let t = -302 - -2118\/7. Put a, t, c in descending order.\nAnswer: a, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 3*q**2 + 5*q - 4. Let g be c(-4). What is the units digit of g\/7*(-14)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, n: 4, m: 2}. What is prob of sequence nnn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 868738916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4*y = 15. Suppose 0 = -2*m + y - 1. What is the remainder when 6 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u + 1. Let r(c) = -5*c + 15. Let m(q) = -2*q + 5. Let k(j) = 17*m(j) - 6*r(j). Let v(w) = 3*i(w) + k(w). Suppose 8*f - 16 = -14 - 50. Calculate v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 500639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000652603181 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3100*t. Let c(s) = 3064*s**2. Give c(l(v)).\nAnswer: 29445040000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-12) - (-2660)\/13944) + 5\/(-3)\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -3*s**4 + 2667*s**3 - 52191*s**2 + 44205*s + 99066 = 0.\nAnswer: -1, 2, 19, 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 49, 9, -3, 12, -2, 0 in descending order.\nAnswer: 49, 12, 9, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k - 8. Let y be a(-12). Suppose 9 = -3*j, -j - 85 = -y*w - 14. Is 1 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 180 and 706068.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2018 - 2016. Sort 7, -5.4, m in decreasing order.\nAnswer: 7, m, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 201, 390, 575, 756, 933, 1106, 1275?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ofscaaqf. Give prob of picking 1 s and 1 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4 + (-20)\/(-6) - 16\/(-6). Suppose 0*n = 2*n. Suppose n = -3*g + 4*s + 144, -q*g = -5*s - 0*s - 96. Calculate the highest common divisor of g and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m + 12. Suppose 10 + 50 = -5*n. Let l = n - -21. Let w(u) = u**2 - 7*u - 13. Let i be w(l). Give t(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from owowwwwowoow. Give prob of sequence owww.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**4 - 4 + 4)*(-z - z - z) + 0*z + 6*z - 2*z + z**5.\nAnswer: 7*z**5 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -509, 5281 in descending order.\nAnswer: 5281, -3, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**2 + 1 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 + 8*f. Suppose 44 = 4*u + 4*p, 0*u - 5 = -u + p. Let l be d(u). Solve l = 4*c - 9*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 6887227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-38)\/(-6) - 14\/(-21). Suppose -2*p + 3 = -h. Let l be p\/(-4)*10\/50. Which is the nearest to 0.2?  (a) l  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1475711 (base 9) in base 6?\nAnswer: -25310014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 260  (b) 1314  (c) -2  (d) -0.3  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1809 greater than or equal to 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*m**3 - 1936*m**2 - 18*m + 2520695 with respect to m.\nAnswer: 27*m**2 - 3872*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(5\/6)\/(q**10\/q)*(q**(-3))**(-47))**(-46) assuming q is positive.\nAnswer: q**(-18331\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 25 = -5*j, 5*o + 4 = -5*j + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/8)\/((-5)\/(-50)). Let l(t) be the third derivative of -t**4\/24 + 11*t**3\/6 + t**2. Determine l(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 286, 310, 352, 418, 514, 646?\n\"Answer: l**3 + 3*l**2 + 8*l + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000117995 rounded to 7 decimal places?\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2839 - 2844. What is the smallest value in l, -0.1, -7\/13, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 1)*(0*m - 3*m + m) + (0 - 2 + 1)*(-m + 2*m - 2*m) + (0 + 3 + 2)*(-832*m + 10107 - 10107).\nAnswer: -4157*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -28  (b) 249  (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 58 + 2*a**2 - 7.\nAnswer: 2*a**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**2 - 5*n - 34. Let m(o) = o + 34. Let i be m(-22). What is the units digit of v(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7499528 to the nearest integer?\nAnswer: 2739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 divided by -148001?\nAnswer: -22\/148001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 502647*c + 16587348. Give i(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23987?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -277 divided by -5\nAnswer: 277\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -62145167, -62145157, -62145149, -62145143?\nAnswer: -62145139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1953013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 19833.68342 to the nearest ten.\nAnswer: 19830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t = 4*q - 2, 3*q = -860*t + 861*t + 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40226 is divided by 78.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 522 + -734. Let m = -212.000137 - c. Round m to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*b**2*w*z**3 - b**2*w*z**2 + 274*b*z**2 + 23130*w*z**3 + 6*w*z**2 + 2*z wrt z.\nAnswer: 24*b**2*w + 138780*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w = -4*w - 35. Let t(x) = 40*x - 21. Let i(v) = -14*v + 7. Let h(c) = 17*i(c) + 6*t(c). Determine h(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55345 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -53 - -80. Let a be (-6)\/3 - (4 - 3)*-6. Suppose 4*s**2 - k*s + 11*s**3 + 25*s - 36*s**a + 23*s**5 - 5*s**5 + 5*s**3 = 0. Calculate s.\nAnswer: -1\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 12*g**2 + 44*g + 27. Let c be k(-10). Let y = c - -222. Calculate the remainder when (-3)\/(-9) + 50\/3 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 7*v**2 + 5*v - 31. Let m be t(7). Which is the second smallest value?  (a) -12\/23  (b) m  (c) -5  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6128, -16427, -33604, -57665, -88616, -126463, -171212?\nAnswer: -222869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1106376 = 17013*i + 357804 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -108*(3825\/45)\/(-255)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -518.5 - -470. Let v = 43.5 + n. Which is the nearest to 0.1?  (a) -0.2  (b) -45  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 64807379 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 208  (b) -2.3  (c) 0.4  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 276.73 + -275. Let m = -391 - -389.76. Let k = m + c. What is k rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 61*o - 164. Give r(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5273251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13013522 + 42775383. Suppose 8*z = -501473 + u. Let g = z + -4360929. What is g rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 10:49 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -734\/3 + 1493\/6. Find the common denominator of f and 8\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1929.9 - 1481. Let u = t - 449. Sort 5.5, -1, u, -0.2 in decreasing order.\nAnswer: 5.5, u, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 460506 = 105*v - 92319. List the prime factors of v.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134188 is divided by 22322.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 25*a + 39. Let r(d) = 15*d + 26. Let j(v) = 8*v + 3. Let u be j(-1). Let x(q) = u*w(q) + 8*r(q). Let p(y) = -3*y + 9. What is 8*p(i) - 5*x(i)?\nAnswer: i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 21799 times 26\nAnswer: 566774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 8*f + 58. Let l be n(-7). Let o(r) = -10*r**2 - 11*r**2 + 13*r**l. Let h(j) be the first derivative of 2*j**3\/3 - 1. Give h(o(v)).\nAnswer: 128*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k + 12. Let t be o(-10). Suppose 4*r = -t*g + 10, -r + g = 4*r - 9. Suppose 14 = 2*p + r. Solve 3*m - p*m + 3*h - 18 = 0, 0 = -3*m + h - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 41102424014 + 2?\nAnswer: 41102424021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13223*y**5 - 74*y**4 + 3*y**3 - 215585631*y?\nAnswer: 264460*y**3 - 888*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uumuvmumummmuuu. Give prob of picking 2 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 34*g**2 + 6*g**2 + 4*g**3 - 2 - 7*g + 1 - g**3. What is the tens digit of z(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 262059\/327580 + 1\/65516. Let p = 0.4 + 4.6. Put 0.2, p, 0.17, a in increasing order.\nAnswer: 0.17, 0.2, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 833400 = 95*g. List the prime factors of g.\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 168 = -7*m. Let t = m + -41. Let p be (-1)\/2 + 18\/(-4). Put -2, t, p in decreasing order.\nAnswer: t, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(68) + (sqrt(68) + -3)**2).\nAnswer: -50*sqrt(17) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + t - 7. Let a be s(12). Let l = 67 + a. Calculate the highest common divisor of l and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -87.6 - -48.5. Let t = b - -44.1. What is the second smallest value in -4, 0, t, -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 13*x + 4 = 0, 4*g + 3*x = 26191. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 8*j - 35 = -3*w, -3*j + 27 = 3*w. Let y(u) = -u**3 + 6*u**2 - 5*u. Let r(p) = -p. Let h(f) = -3*r(f) + y(f). List the prime factors of h(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6 - 5)\/(4 - 3). Let c(r) = -b + 2 - r + 5 - 3*r. What is the units digit of c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2903*w - 433*w - 14021*w.\nAnswer: -17357*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and -29442.\nAnswer: -29442.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4*8\/64)\/(10\/(-12)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 16*i**2 - 159*i + 18. Give k(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 30\/(-3)*164\/(-10). Let a = l - 153. Which is bigger: 14 or a?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from {s: 3, l: 1, h: 9, d: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 16933237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33877 is divided by 532?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -235*m - 1331. Let l(b) = 47*b + 266. Let y(v) = 11*l(v) + 2*q(v). Calculate the remainder when 43 is divided by y(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.26816 and 5.\nAnswer: -1.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.0376028 - -0.9\nAnswer: 0.9376028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 6748 - 6745 = w, 3*g + 23 = 5*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -690 + 692. Solve 0 = -3*q - s + 3*s - 18, -k*q - 3*s + 1 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-1\/3))**33\/((b\/b**2)\/(b*b\/b**8)) assuming b is positive.\nAnswer: b**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -82\/28152375 and 107\/2029000.\nAnswer: 225219000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 45.3 or 0.062?\nAnswer: 45.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4642, -2284, -7 in descending order.\nAnswer: 4642, -7, -2284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4*3\/(-268))\/((-6)\/4). Let r = -205\/134 + f. What is the second smallest value in -0.017, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 708\/2655*(-2 + 154\/8)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 908 + 1476. Is p a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -42 + 44.3. Round a to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 30*u + 28*u = -33, 0 = -5*h - 3*u - 13. Let g = 0.01 - -0.29. Let p = 1 - 1.2. Which is the smallest value?  (a) p  (b) g  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 4651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 312.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 18. Let d(z) = 20*z - 215. Let q be d(11). Find the third derivative of 36*t**5 - 15*t**5 + 17*t**2 - h*t**q - 16*t**6 wrt t.\nAnswer: -1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13761851.37 rounded to the nearest one hundred thousand?\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.44 and -70.\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 2*w + 5. Let i(t) = -t**3 + 4*t**2 - t + 5. Let n be i(w). Let b = n - -144. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192)*-2*-2.\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2539 and 1124250.\nAnswer: 1126789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -15. Suppose -5*z + 43 = q, -3*q - 2*q - x = 0. What is the lowest common multiple of ((-3)\/(-2))\/((-2)\/(-12)) and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*f + 61 - 20 - 23 + 45*f - 23.\nAnswer: -62*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4163, 2617, 9399, 16183?\nAnswer: 22969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 126 - 757\/6. Sort -2, 0.1, g, -0.02 in descending order.\nAnswer: 0.1, -0.02, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 688867 = -5*x - 2*x + 689515 for x.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -147822760456 - -0.2?\nAnswer: -147822760455.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 PM and 4:37 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (2644 - 2622) + -1 + -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -72 + 45?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, m: 1, v: 2, w: 4}. Give prob of picking 1 w and 1 m.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 4. Suppose j*q - 8*q + 20 = 0. Suppose 0 = d - q*d + 45. Calculate the greatest common divisor of 75 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 487663031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -727001 by 29.\nAnswer: -25069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 295, 3, -2013 in increasing order.\nAnswer: -2013, 3, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**3 + 4*w**2 + 6*w + 7. Let v be l(-2). Let q be (v\/(728\/16))\/((-1)\/7). Let -u - 7\/2*u**q + 0 = 0. What is u?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - (-7)\/((-7)\/(-3)). Find the second derivative of 3*p - 4 - 6*p + 4*p**m - 29 - 131*p**2 wrt p.\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 40 = 8*f. Let t be (1 + -13)*(-6)\/12. Let j(s) = -5*s + 1. Let h(b) = -9*b + 1. Let x(c) = t*h(c) - 11*j(c). Determine x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, g: 2, d: 1, m: 3, u: 4, o: 2}. What is prob of picking 2 e and 1 o?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7)\/(-14) + 1\/2. Suppose -4*x = -i - 19. Solve 3*w = h + x, -w + h = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 29608.\nAnswer: 148040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 5*m + 880 = 0, -288 = -2*z + 4*m + 328. Let s be (-1*16\/(-10))\/(60\/z). Solve -32 + 8 = s*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 141.248, 2\/5, -0.3 in ascending order.\nAnswer: -0.3, 2\/5, 141.248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50*s - 5340 + 5340)*(-1 - 1 + 4)*(2 - 2 - 2).\nAnswer: 200*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -13. Let b = 23 + -10. Let s(g) = b*g + 15*g - 31*g - 1 - 4*g**2. Determine s(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 1*sqrt(891))**2 + (-2 + -2*sqrt(1331))**2.\nAnswer: 88*sqrt(11) + 6219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and -0.0645.\nAnswer: -0.1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -37192, -37193, -37194?\n\"Answer: -c - 37191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -92.43 + 0.3\nAnswer: -92.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 41304134 (base 7) in base 13?\nAnswer: 943727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 45\/(-27)*((-228)\/95)\/(12\/114)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7199 + 7199. What is the nearest to -3 in 4, 4\/3, a, 12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6137 - 14759153.\nAnswer: -14759153.6137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/6 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/4 + 3*u\/2 - 5\/4.\nAnswer: -(u - 5)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/9  (b) -41676  (c) 262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -2*o**3\/3 + 6*o**2 + 4. What is the second derivative of n(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c - 6419 = -2186. Is (-4)\/(-16) - c\/12 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8\/28753 or -12.5?\nAnswer: 8\/28753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f + 20. Let s(m) be the first derivative of m**2 - 41*m + 1. Let z(o) = 2*s(o) + 5*t(o). Calculate the remainder when z(0) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(-7)\/(-84)*9\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 33, 153, 353, 633, 993?\n\"Answer: 40*w**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 55244, 33 in decreasing order.\nAnswer: 55244, 33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -53 less than or equal to 0.033682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.0016283468 rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 - 9. Calculate the smallest common multiple of 18 and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 79920999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 49, 62, 89, 142, 233, 374?\n\"Answer: 2*k**3 - 5*k**2 + 14*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 170 + -173. What is the second biggest value in 137, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/6)\/(1\/66). Let g = -31 + d. Suppose -2*m = g*s - m - 28, -m + 60 = 4*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99144226.\nAnswer: 2, 101, 167, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -2\/39, 10, -4 in descending order.\nAnswer: 10, 1\/5, -2\/39, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 172*h**2 - 171*h**2 - 28*h - h to l*h + a*h**2 + j and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of g**8\/6720 + g**7\/280 + g**6\/720 - g**5\/10 - g**4\/3 - 25*g**2. Let m(d) be the second derivative of l(d). Is m(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22318030 divided by -9065\nAnswer: -2462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r + 2. Suppose 0 = 6*u - 2*u - 20. Suppose u = b - 2*b. Let m(n) = -2*n - 5. What is b*h(j) - 2*m(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 982 divide 19993520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -3 + -2 + 6 + -3 + -17.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35 by 4296731.\nAnswer: -35\/4296731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4821074 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9*10\/3 + 1. Let l = i - 21. Calculate the least common multiple of l and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of j**3\/6 + 2*j**2 - j. Let t be i(-3). Suppose 0 = -2*v + t + 9. Calculate the highest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -4*a**3 - a**2 + a + 1. Let b be k(-1). Differentiate -7 + 3 - b - 4*m wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.2, 6, 2\/13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 6*v**2 + 3*v - 8. Let g = 4 - 0. Suppose 9*d - 30 = g*d. Let l be y(d). What is the highest common factor of 15 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 14*w - 18*w + 36464, 5*w + 4*y = 45589. List the prime factors of w.\nAnswer: 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9a0611a (base 11) to base 8\nAnswer: 102776077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2.16*-0.192501\nAnswer: 0.41580216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 + 40. Suppose 2*p + 2*p - g = 0. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 151.11 + -153. Let h = -0.11 + l. Let r = -282\/7 + 40. Which is the closest to 2\/5?  (a) r  (b) h  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7 and -0.08029305.\nAnswer: -7.08029305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21768762?\nAnswer: 2, 3, 3628127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 170, 171, 172, 173, 174, 175?\n\"Answer: s + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 617 + -176. Calculate the greatest common factor of 63 and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 bigger than 1187\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3701071068 to the nearest integer?\nAnswer: 60836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 - 116 = -4*m. Suppose 24*t + 216 = m*t. What is the units digit of (t\/(-5))\/(3\/(31 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -52, -4, 3, 5, 6 in decreasing order.\nAnswer: 6, 5, 3, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -227\/2730 and 157\/1932.\nAnswer: 125580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8037)\/(-152))\/(-4*27\/144)*(-6)\/(-9).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.2226 and -0.4.\nAnswer: -0.48904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 92*g + 656. What is the least common multiple of h(-7) and 159?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w + 34 = 674 + 917. Solve -10*l - 203 = -w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 562029756 to the nearest integer?\nAnswer: 23707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 499*p - 499*p + 121*p**2 - 2*p**2 + 0*p**2 + 3*p**2 + (-6*p**2 + 5*p**2 - 8*p**2)*(-3 + 4 - 3) as u + y*p**2 + b*p and give y.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1157 + 2982 + 1671 = 220*y + 90 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 2*j = -18, 2*t - 255*j + 10 = -253*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 235789 is divided by 16841.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of 38*v**2 + 32*v - 75. List the prime factors of c(18).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 199*i**2 + 473*i**2 - 134*i**2.\nAnswer: 538*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/7)\/(3\/(-21)). Solve -n - p = -o, -2*o - o + 30 = -5*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1139*n**3 + 525*n**2 - 2 wrt n?\nAnswer: -6834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -32*z - 15. Let n be m(-4). Suppose -n + 954 = b. Suppose 4*f - b - 955 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of -103*q**4\/12 + 13*q**2 + 234*q. What is the first derivative of v(o) wrt o?\nAnswer: -206*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 24*k**3*z**3 - 65*k**3*z - 3*k**3 + 17*k**2 - 12*k wrt z?\nAnswer: 72*k**3*z**2 - 65*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 21 = -5*q, 7*q = 5*p + 2*q. Suppose -p*m = -0*m - 9. Suppose 0*g = -g + m. Solve g*o - 5*l = o + 5, -3*l - 4 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(3\/2))**(6\/31) assuming c is positive.\nAnswer: c**(9\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21461\/10 - -2138. Let j(l) = -17*l**3 - 2*l**2 - l. Let x be j(-1). What is the common denominator of r and 2*-9*11\/x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(6) + sqrt(54)*-2)\/((sqrt(2) - sqrt(294)\/sqrt(3)) + sqrt(2))*6.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 16 + 3 + (13 - (12 + -4)) + -13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1*j**(-2\/31))**(-34)\/((j**(-1))**10\/(j**(-6)*j*j**(4\/7))) assuming j is positive.\nAnswer: j**(-5693\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 5*m - 3329 = 0, m - 5*m - 2489 = -3*l. Let x = -425 + l. Suppose 81 - x = -5*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97346413 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-159)\/39 + 9\/(54\/24). What is the second biggest value in -2, p, -1\/2, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-4))\/((-84)\/(-9576)). Calculate the greatest common divisor of 304 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p*p*p**(7\/3)))\/(p\/(p*p\/((p**(12\/11)\/p)\/p)*p*p*p)))\/(p**10\/p**(-26)) assuming p is positive.\nAnswer: p**(-1103\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2385 divided by -3?\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 26 - 0. Solve -5*x - 3 = -k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-55)\/99 - 2)*-9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 132, 139, 158, 195, 256, 347?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -23, -53, -93, -149, -227?\n\"Answer: -v**3 + v**2 - 26*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2051*j + 1974*j + 308 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 - 11. Let l be (-58)\/145 + -3*(-4)\/30. Let k be ((0 + (-4)\/(-12))*l)\/(-2). Determine n(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -287 - -291. Differentiate -9*g**4 + 55 + 62*g**q - 68 wrt g.\nAnswer: 212*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 + 6 = 5*q. Let z be 56 + (6 - (-1)\/((-1)\/2)). Calculate the greatest common divisor of q and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 224 - 220. Suppose b*u + c = 191, -3*u + 26 + 122 = -4*c. What is the least common multiple of 18 and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = 38 - 506. Suppose -22*j = -d*j + 336. Which is greater: j or 53\/10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.17852 millennia in centuries?\nAnswer: 441.7852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*q = 11*q - 120 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-39)\/6 - (-3)\/(-6). Find the common denominator of (17\/a)\/(1\/3) and -85\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o + 10*o + 13*o - 18*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of -1\/4*k**4 - 27*k + 95 + 0*k**2 + 12*k**5 + 0*k**3. Differentiate o(w) wrt w.\nAnswer: 240*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 10:50 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221020 - 1120001100020?\nAnswer: -1120002021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/496 + (-750)\/93.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k**2\/5 + 6829*k\/5 - 20496\/5 = 0. Calculate k.\nAnswer: -6832, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 78230 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2 and 17433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12561*n**6 + 251222 - 251222 - 11834*n**2 wrt n.\nAnswer: 1507320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1818279 + 28279. Round g to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 53293430 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -4. Solve -2*z = -5*x + 18, -18 = 3*z - k*x - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4976*l + 4976*l + 104*l**2)*(-l**2 + 0*l**2 + 3*l**2) - 3*l**4 + 2*l**4 - l**3 + 0*l**4 + (0 - 3*l**2 + 0)*(-2*l**2 + 6*l**2 - 2*l**2).\nAnswer: 201*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 26 + 6 = 2*h, h + 22 = 5*o. Let k be 1\/(-2)*h + 2. Suppose -y = k - 18. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2319, 2326, 2335, 2346?\nAnswer: 2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 339415, 339407, 339389, 339355, 339299, 339215, 339097?\n\"Answer: -r**3 + r**2 - 4*r + 339419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {f: 9, j: 4, s: 1, d: 1, x: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 11060 + -10948 + (-1 - 54)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 104370 and 229614.\nAnswer: 1148070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 274 - 278. What is the fourth biggest value in -1\/6, -5\/2, p, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*q**2 - q**4 - q**3 + 26*q**2 + 39*q + 10*q**2 to the form y*q + f + h*q**3 + s*q**4 + l*q**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (52\/8 + -1)*2. Let g(l) = 198*l + 1. Let t be g(1). Let n = 298 - t. Calculate the greatest common divisor of n and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 82710?\nAnswer: -82705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1402cb (base 13) to base 6.\nAnswer: -14230110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 160 and 599136.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 41782773 rounded to the nearest 10000?\nAnswer: 41780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 1) + (-7)\/(-49).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m**9*m))\/m**1)**45 assuming m is positive.\nAnswer: m**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 5, s: 1, t: 1, z: 3}. Give prob of sequence szt.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 + 3*b**2 + 5*b. Let a be r(4). Suppose -a*v = -5*f + 14 + 9, -v = 5*f - 13. Suppose 0 = f*n - 3 - 9. Solve n + 2 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - -5 - 182\/49. Which is the second biggest value?  (a) m  (b) 2\/15  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - 11. Let k = 33 - m. Suppose k*j + 254 = 21*j. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + -1. Let d(p) = p**3 + 6*p**2 - 2*p - 14. Let k be d(u). Let v be (-1)\/4 + 21\/(-108). What is the second biggest value in v, 2\/7, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (44\/20 + -1)\/((-2)\/(-30)*-3). Put -0.2, 0.5, -59, s in increasing order.\nAnswer: -59, s, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = h + 2*h. Let d(c) = c**2 + 2*c - 13. Let t be d(h). Suppose 6*v + 55 = t*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-495)\/22)\/((-5)\/270) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/171 and -69\/4.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 568*m + 168 = 571*m. What is the smallest common multiple of 22 and m?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 6.4. Let u = -0.3 - j. Let c = -982\/7 - -140. What is the closest to -2\/3 in u, c, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 6*a + a. Let v be 72\/60*(-130)\/(-4). Suppose -3*i + 5*r = -41, v = 2*i - a*r + 2*r. What is the least common multiple of 20 and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x - 11. Let s be i(-12). Let t = -8 + s. Does 7 divide 3\/t - (-1720)\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of 2\/3*a**6 - 49 + 0*a + 0*a**2 + 6*a**3 - 1\/2*a**4 + 0*a**5. Find the third derivative of s(o) wrt o.\nAnswer: 240*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, -14, -7, 3, 0.\nAnswer: -57, -14, -7, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -30. Let q(t) = 0*t**2 + 20*t - h*t + 2 + t**2 - 5. Let n(d) = -d**3 + 6*d**2 + 8*d - 7. Let u be n(7). What is q(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 115 + 7803868?\nAnswer: 7804084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 28252, 56564, 84876, 113188?\n\"Answer: 28312*n - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 2. Let q(j) = 6 - j**2 - f*j**3 - 1 + j**3. Is q(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-5))\/((-12)\/60). Let y(g) = -9*g**3 + g**2 + 3*g + 1. Calculate the remainder when y(a) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4aa930 - -2?\nAnswer: 4aa932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (0 + -5 - 7) + (-22 - -28 - 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -172002\/17 + 10122. Suppose -22 = v + 5*l, -3*v + 0*l = l - 4. Which is greater: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(325)*-2 + sqrt(325))**2.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 8, s: 5}. What is prob of picking 2 s?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t**2 + 3. Let x(n) be the second derivative of n**4\/4 + 2*n**2 + 6*n. Calculate -4*l(w) + 3*x(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 1:59 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144)*1)\/sqrt(8))\/(1*sqrt(144)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -p + 149. Suppose 4*b - 5 = p. Let t = 102064 + -102035. Calculate the highest common factor of t and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5883 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 105, 92, 77, 60, 41, 20?\n\"Answer: -y**2 - 10*y + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + 10*p + 6. Let o be w(9). Suppose -f + 3*n = 2*n + 3, 5*n = -4*f + o. Which is greater: f or -3\/10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19812, -158486, -534866, -1267800, -2476136?\nAnswer: -4278722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1314913 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*c - 5*l + 72, 2*l - 85 + 12 = 5*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + -0.4. Let f = 0 - v. Let p = f + 0.6. Which is smaller: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 - 10*x - 29. What is y(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3791, -9 in increasing order.\nAnswer: -3791, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*n + n + 4*n)*(0*n + 0*n + n) + (-3 + n + 3)*((-10*n - 31*n - 4*n)*(2 - 2 + 1) - 3*n + 0*n + 2*n))*(-26 - 21 - 49).\nAnswer: 4224*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2040 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 168 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-15)\/10 + 2\/(-4). Let h = w + 4. Factor 32*q**2 + 6 - 2 + 28*q - 3*q**h + 20*q**2.\nAnswer: (7*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**2 + 116*q - 116*q. Let z(n) = -5*n + 25. Let x(l) = -l + 6. Let k(s) = -25*x(s) + 6*z(s). Give k(g(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 200 and 3128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 10401 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -13*w - 33. Let v(d) = -5*d**2 + 86*d - 104. Calculate the least common multiple of v(14) and t(-6).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22613 (base 7) to base 12\nAnswer: -3428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 5:44 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5809447 < 5809449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*z + 9*z - 4454. List the prime factors of z.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**3 - 3*n**2 + 4*n - 6. Let s(w) = 13*w**3 - 11*w**2 + 15*w - 25. Let x(l) = 2*s(l) - 9*y(l). Let g be x(4). Put 1, -1, g in descending order.\nAnswer: 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36*c**4 + 26*c**4 - 36*c**4)*(-37 + 45*c - 11*c - 14*c - 19*c).\nAnswer: 26*c**5 - 962*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7226*z**2 + 8360*z**2 - 2171*z**2 - 1881*z**2.\nAnswer: 11534*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 0 - 3 = -3*x, -3*m + 1 = x. Let w(t) = 3*t**2 - t. Let b be w(x). Solve -s - s - z + 12 = 0, -5*s - b*z + 28 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 432 = -2*y. Let f = y - 145. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*i - 0*o - 2*o, -8 = i - 4*o. Put 5, i, 7, 1 in descending order.\nAnswer: 7, 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -138, -375, -710, -1149, -1698?\n\"Answer: -q**3 - 43*q**2 - 101*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 12*o - 4. Suppose -86 + 278 = -297*t + 329*t. Calculate the remainder when h(6) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 400419 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 246317.\nAnswer: 246317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nqdv when four letters picked without replacement from nnvqdqn.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l**2 + 36*l - 2. Let i be s(12). Let v be i\/8 + (-4)\/(-32)*26. Solve -1 = -3*t - 5*p, -2 = -2*t - v*p - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(108) + (4*(sqrt(108) + 0 - sqrt(108)))**2 + (sqrt(108)*1)**2*-4 - ((-1 + sqrt(108) + 1 + sqrt(108))*-6)**2.\nAnswer: -15984 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 4*y**3 + 35816*y**2 + 81552688*y + 6145103328 = 0.\nAnswer: -4438, -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28*f**2*t**3 - 5468018*f**2 + 30010*f*t**3 - 5*f + 286*t wrt f.\nAnswer: 56*t**3 - 10936036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - -2*sqrt(171)\/sqrt(9))*4.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-30 - -20) - -36?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 14*u - 212*u - 4)*(-1 - 2*u + 1).\nAnswer: 396*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 115890085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.32311 meters to kilometers.\nAnswer: 0.07832311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 3*r - 3*r)*(-304088*r**3 + 304088*r**3 + 279*r**4).\nAnswer: -1116*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185*g**2 - 190*g**2 + 8*g**3 - 198*g**2 + 573*g**2.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-256 + 122 + 132 + 132*r)*(-2*r - 1 + 1)*(-1 + 1 - 2*r) in the form x*r + n + b*r**2 + l*r**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -207.3451 to 1 dp.\nAnswer: -207.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 227657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -80\/131 + 4729\/3668. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0802 - -0.1502. Which is the nearest to 0.1?  (a) 0  (b) w  (c) -2  (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 398 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 295482096 to the power of 1\/3, to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29689 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m - 4. Let k(z) = -11*z - 9. Let f(c) = 9*a(c) - 4*k(c). Let i(v) = v**2 - 1. Let o(j) = -8*j**2 + 12. Let b(h) = 12*i(h) + o(h). What is f(b(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 1189*b**2 - 203. Let c(n) = 17*n**2 - 6*n - 36. Let g(k) = -20*k**2 + 5*k + 31. Let i(r) = 5*c(r) + 6*g(r). Calculate -203*i(u) - 6*p(u).\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -11  (b) -359  (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4867, -19540, -44021, -78310, -122407, -176312, -240025?\nAnswer: -313546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 3550 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + b733?\nAnswer: b732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2\/11, -2\/5.\nAnswer: -4, -2\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.03 + -3.03. Suppose -m - m + 11 = -3*q, 2*m - 2*q - 8 = 0. Let z be 5\/6 - m\/2. What is the nearest to -1 in u, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(28))**2 - (-2*(-1 + sqrt(7)))**2.\nAnswer: -4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(300) + sqrt(300) + 0 + -3)*-3 - (sqrt(300)*1 + 2 + sqrt(300) - (-4 + sqrt(300)*-2 - sqrt(300) - sqrt(300))))**2)*-6.\nAnswer: -259266 + 4320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000549361918 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22.4441 and -1.5.\nAnswer: -33.66615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1513842357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3402.4 + -2895.6. What is a rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3112102, -12448403, -28008914, -49793641, -77802590, -112035767, -152493178?\n\"Answer: -c**3 - 3112099*c**2 + 3*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0158 not equal to 15321\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 8) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.504 + -0.076. Let r = n + 0.08. Let x = -2 - r. Which is the smallest value?  (a) -4  (b) x  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(300)*4)**2 - ((3*sqrt(300) + 3 - sqrt(300)) + sqrt(300))) + -2.\nAnswer: -30*sqrt(3) + 4798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(684)*2 + sqrt(684) + (-1*sqrt(684) - sqrt(684))*2)**2.\nAnswer: 60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45, -44, -31, 0, 55, 140, 261?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2 + 6*i**2 - 9*i**2 + 11*i - i**3 + 16 - 2. Is q(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 73*u - 75*u + 25, -20 = 4*z. Solve n = 5*g + 16, -2*n - 2*g = u + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/6*(-1)\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16502 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -98, -205, -320, -443?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49 - (-21 - (-30 - -53)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01279728 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9433?\nAnswer: 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bete when four letters picked without replacement from {b: 1, c: 2, r: 1, t: 1, h: 2, e: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -4*c**2. Let q(i) = -127*i**2 + 11*i + 4. Calculate q(s(n)).\nAnswer: -2032*n**4 - 44*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**3*k*(k**(1\/5)*k)\/k*k)\/(k**(2\/3))**45 assuming k is positive.\nAnswer: k**(-149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(-12) - -1)\/(3\/(-4)). What is the units digit of a\/(1*-3 - 10672\/(-3568))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -1187030*w. Let a(o) = 2296*o. Let x(c) = -2070*a(c) - 4*r(c). Let n be x(-3). What is n rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-7) - (-24)\/(-112). Do r and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/6 - 88*(-14)\/3360\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1672669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/((-1)\/(-1)) - 2. Suppose -3*z + 4*i + 12 = 0, m = i - 3*i. Let l(x) = x**3 - 4*x**2 + 3*x + 2. Calculate l(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 16*u**2 - 20*u + 8. Is j(8) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 19*k + 6. Let q(n) = -n**3 + 14*n**2 + 15*n + 7. Let s be q(15). Let a(j) = -6*j - 2. What is s*a(c) + 2*g(c)?\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 1  (b) 3  (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b. Let r(k) = k + 1. Let z(m) = 7*m + 6. Let y(u) = u**2 + 6*u - 1. Let c be y(-7). Let s(h) = c*r(h) - z(h). Give s(l(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k. Let m be s(-1). Let y be (100\/(-3))\/(m\/(-34200)). Suppose y = -4*b + b. What is b rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22830 times -0.3\nAnswer: 6849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3312*s**2 - 3330*s**2 + 6642*s**2 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 3*v - 89, -363*v = -k + 571 + 77 - 127 + 617 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1741090.03 and -0.1.\nAnswer: -174109.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*r - 1 - 4 = 0, -4*r = -8. Which is smaller: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 165 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4988, 9959, 14930, 19901?\nAnswer: 24872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001895775 rounded to 7 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0120396762 to six decimal places.\nAnswer: 0.01204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/60 + 1*2\/12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46242, -39943, -33644, -27345, -21046, -14747?\nAnswer: -8448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20770\/8699 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**3 + 4*g**2 - 16*g - 16.\nAnswer: 4*(g - 2)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 111*-16.\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 10 - (7 + (8 - 23))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(462\/7)*-2*714\/7.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8030 and 319595606.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 9:56 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 1. Let k(m) = -m**2 + 6*m + 3. Let h(n) = 4*i(n) - k(n). Let b(z) = z**2 - 2*z + 1. Determine 4*b(o) - 3*h(o).\nAnswer: o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -7a6bd9?\nAnswer: 7a6bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 284 divide 35216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of -35*f**4\/24 + 8*f**3\/3 - 3*f**2 - 26*f. What is the tens digit of t(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1619 + -1617. Let d(g) be the first derivative of 0*g**l - 3*g + 0*g**3 + 5\/2*g**4 - 2. What is the derivative of d(a) wrt a?\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12434554*d + 6985372 wrt d.\nAnswer: -12434554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6746956 to the power of 1\/2, to the nearest integer?\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 240327 + 8971811.\nAnswer: 9212138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/393 + 526\/393. Suppose -4*y + 12 = 2*h, h = 5*y - 23 + 1. Which is the second biggest value?  (a) 0.4  (b) h  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77.95 rounded to 0 dps?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27.82 - -27.8. Is 27 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4677 + -4664. What is the remainder when 149 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 5*q - 5. Let m be f(5). Calculate the greatest common factor of 15 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*g + 15*g = -13*g - 850 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13777\/42 - 998\/3. Suppose 2*f - 1 - 7 = 0. Find the common denominator of b and (-2)\/f + 158\/(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (30\/(-20))\/(2\/20). Let r = j - -19. What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of 0 + 1\/2*i**2 + 2*i. Let r(d) = -d - 5. Determine 2*r(u) + 9*t(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 2*t + 4. Let c be d(-6). Calculate the highest common divisor of 42 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-15)*((o*o*(o**3\/o*o)\/o*o)\/o)\/o)\/(o**5\/o**(-13)) assuming o is positive.\nAnswer: o**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 158533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -3*v**3 + 1. Let r(u) = -21772*u**2 + 7261*u**2 + 7262*u**2 + 7264*u**2. Give p(r(h)).\nAnswer: -2025*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (971*v + 3293*v - 14 + 14)*(-5 + 16 - 5)*(-2 + 2 + 1)*(0 - 1 + 2) in the form o + i*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 5*b + 8. Let d(n) = 11*n + 17. Let k(p) = 5*c(p) - 2*d(p). Suppose 5*i + 151 = 6*q - 5*q, 3*q = -5*i + 513. Let l = -170 + q. What is k(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + 0. Suppose 6*n = 13*n - r. Solve n = -2*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -7*k**3 - 5*k**2. Let l(i) = -10*i**3 - 8*i**2. Let r(b) = 5*l(b) - 7*p(b). Suppose r(q) = 0. Calculate q.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w + w**2 - 2*w + (-7*w + 17*w + 0*w)*(2 - w + 4*w - 4*w).\nAnswer: -9*w**2 + 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - -2.149079692.\nAnswer: -2.850920308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1527224575?\nAnswer: 5, 1789, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -5*r. Let q(n) = -5560*n**2. Calculate y(q(c)).\nAnswer: 27800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-33 + 27 - (-7 - 0)) + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -134 - (0 + 1 - 3). Find the common denominator of (-265)\/(-100) - 3\/1 and (-93)\/g*(-12)\/2.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*y**3 - 2043*y**2 - y + 311?\nAnswer: -12*y - 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuuuuuumuuuuu. What is prob of picking 2 m and 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(637)*3 - (4 + sqrt(637) + -5)**2) + -1.\nAnswer: -639 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5712 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -716 + 950. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1263317 is divided by 312.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -19*f + 107. What is y(-4)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 583151701?\nAnswer: 11, 47, 103, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 5*b + 135. Calculate the least common multiple of j(-12) and 33.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**3 + f**3 + 0*f**3 + (-3 + 3 - 1)*(-3*f**3 + 0*f**3 + f**3) + 2*f**3 - f**3 + 0*f**3 + (-5*f - 3*f - 2*f)*(-3*f**2 + 2*f**2 + 2*f**2).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2989776, 5979552, 8969318, 11959068, 14948796?\nAnswer: 17938496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*v + a - 23, -5*a + 36 = 3*v. Suppose v = -14*u - 91. Let z(q) = -q - 2. Let w be z(u). What is the highest common factor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = -2*b - 1, -2*v = -3*b + 4 + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -o**4\/2 + 4*o**3\/3 + 3*o**2\/2 - 4*o + 1. Is u(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, -27\/4, 5, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1655.4 - -1440. Let b = 189.62 + y. Let o = b - -27. Round o to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/(-6))\/(13*(-7)\/(-1638)). Solve -2*v - 3*j + 22 = 0, x*j - 27 = -v - 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 1:53 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -235220 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*((-13)\/6 - -2). Let p = 14 + -9. Which is the second smallest value?  (a) r  (b) p  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 10:13 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 128266 (base 9) to base 12\nAnswer: 39329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 648 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 16, m: 4}. What is prob of sequence mmbb?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80269 is divided by 175?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 43 - 27. Calculate the remainder when 31 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/7 and -1\/17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 4 = -2*u. Suppose -u*d = -1 - 1. What is the units digit of ((-6)\/(-4))\/(d\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1954 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 5 + 0 + (-1 - 1 + 1)*(3 + 2 - 7))*(-24*d + 294 - 294 - d + 2*d - 2*d + (1 + 3 - 3)*(0 - 2*d + 0) - 2 + d + 2) in the form w*d + q and give w.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2598512999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -181132, -182766, -185490, -189304, -194208, -200202?\n\"Answer: -545*z**2 + z - 180588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72453*r + 851 = -72417*r - 49 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 260, 248, 212, 140, 20?\n\"Answer: -2*g**3 + 2*g + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 14888\/4 - (-8 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 419.7 - 420. Which is the biggest value?  (a) 6  (b) j  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.02 - 0.02. Let c = 2 - 3. Which is greater: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30 - 0) + (-42 - -56) + (32 - 46).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p + 12*p - 8 - 4*p - 2*p. Let l be t(2). Which is smaller: l or 3\/43?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 115 = 5*s, -5*w + 6 = -3*w. Calculate the remainder when (-1 + -5)*s\/4 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 - 5*r - 4. Let y = -2 + 4. Suppose y*c + 31 = -5*j + 1, j + 4*c + 24 = 0. Determine p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + 6*o + 3. Let n be r(-6). Let q(z) = -57*z - 54. Let m be q(-1). Find the first derivative of -53 - 4*p**m + 4*p**n - 2*p**4 + 46 wrt p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1962 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 12*d**2 + 13*d - 5. What are the prime factors of u(10)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 510*y - 258*y + 275*y**3 - 259*y in the form t*y + o*y**2 + p + q*y**3 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, 5, -3, -1521385 in increasing order.\nAnswer: -1521385, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/3  (b) -0.2  (c) -1  (d) -10.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1299, -4, -5 in decreasing order.\nAnswer: 1299, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 take away 44284999?\nAnswer: -44284998.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 387 - 386.807. Let q = m + -0.19101. What is q rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.674 + 2.774. Which is the closest to m?  (a) 25  (b) 1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26966?\nAnswer: 2, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/4 + 2873*t\/2 - 90024.\nAnswer: (t - 62)*(t + 5808)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 30 = -6. Let x = k - 14. Is 11 a factor of (-5 + (x + 3 - -1))*-33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -18*y**3\/17 + 3049248*y**2\/17 - 119578*y + 338804\/17 = 0. What is y?\nAnswer: 1\/3, 169402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1038377715?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2 - 3) + -3)*(906368\/512)\/73?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 (base 8) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/((-8)\/(-3)))\/((-3)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -3*h + 2. Let n be (-1 - -1) + 30\/(-15). Let o(a) = 13*a - 9. Let z be (-5)\/45*-3*-27. Give n*o(p) + z*t(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1928 - -2102. What is the highest common factor of y and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 + 1 + 2*g**3 - 1. Let f be y(1). Let d be 2 + 3 + 42\/f. Calculate the highest common divisor of 38 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**4\/6 - 1813301*z**3\/3 + 39892138*z**2 - 2632870460*z\/3 + 19307677664\/3.\nAnswer: (z - 3626536)*(z - 22)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-1)*b\/(b**(-5)*b)*(b**1)**(-50)*(b**1)**14*b**(-1)*(b*b\/(b*b**(1\/5))*b)\/b assuming b is positive.\nAnswer: b**(-161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 2*a + 1641 = 0, -5*y - 2*a = -0*y - 1629. Calculate the remainder when y is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g - 2*g - 3*g + 2*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(-48))\/(((l*(l*l*l**(5\/3)*l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(-146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (1026\/266)\/(126\/14)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 51259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -9, -77*c = 2*f - 81*c - 13700. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - 14*b + 135. Let j be p(6). What is the second derivative of 25*h + 799*h**2 - 830*h**2 - 8*h + j*h wrt h?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -296, 216, 728?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*r**2*u**2 + 134*r**2*u + 3*r**2 - 99*r*u - 16*u**2 - u - 5 wrt r.\nAnswer: 8*u**2 + 268*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**30\/i**(1\/13) assuming i is positive.\nAnswer: i**(389\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 AM and 6:23 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -356, -358, -360, -362, -364, -366?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189942?\nAnswer: 2, 3, 31657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wccccccccccwc. Give prob of picking 2 c and 2 w.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 19 + 9. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81711751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -389584*y + 389580*y + 20 = -4*i, -5*i - 388 = -126*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*1*-19*66\/(-209)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/13 + (-41)\/(-13)*1. Suppose -d*m - 1 - 2 = 0, 0 = 3*w + 2*m + 25922. What is w rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 h, and 2 t when four letters picked without replacement from {t: 6, z: 5, h: 4, a: 5}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -13*z**4 + 15*z**3 + 6*z**2 - 26*z - 6. Let p(t) = 75*t**4 - 90*t**3 - 35*t**2 + 155*t + 35. Let m(f) = -6*p(f) - 35*q(f). Find o such that m(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*y - 26991 + 24*y + 26991.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (10 + -2 - (-4 + 21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*s, -252 = 2*y - 0*y + 4*s. Let p be (18\/(-16))\/(15\/20)*y. Let v = p - 134. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1267 = 3*n + 76. Let k = -1256\/3 + n. Let x = 8\/95 - 3033\/1045. What is the common denominator of x and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -2  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)*3*-4 + sqrt(26))\/(sqrt(288)*3).\nAnswer: -11*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.8 - -1. Let u = p + -0.2. Let w be ((-2)\/35)\/(420\/(-25) + 17). What is the biggest value in u, -5, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**4 + j**4 + 4*j**4 + (6*j**2 - 3*j**2 + 0*j**2)*(-5*j**2 + j**2 + 5*j**2).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n - n - 4 + 190647*n**2 - 190650*n**2.\nAnswer: -3*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 4*s - 75 = 0, -2*s - 15 - 25 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*j*v**3 + 2*j*v**2 + 1282439*j*v - 1125701*v**2 + 3*v - 3 wrt v?\nAnswer: -12*j*v + 4*j - 2251402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 117 + -119. What is the closest to 0 in 0.4, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8 + (12 - 484\/33). Factor 4\/3 + n*q + q**3 + 13\/3*q**2.\nAnswer: (q + 2)**2*(3*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 100 and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-62 - (229398\/(-2499) - -30))\/((-8)\/(-7))\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-323)\/19 - (-2 - 1). Let o be 4*(-3)\/(-42) + (-4)\/r. Which is the fourth biggest value?  (a) -1\/2  (b) 0.04  (c) o  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-147080)\/(-28) - (144\/21 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4 = 2*s + 98, 4*g = -3*s + 181. Let t = -32 + g. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of a**6\/660 - a**4\/132 - 16*a**2. Solve l(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*k = 34*k + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 362*i + 279*i - 241*i.\nAnswer: 400*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, v: 3, k: 3}. Give prob of picking 1 y and 3 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*z - 27 = 137 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 take away -37643474350?\nAnswer: 37643474355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3592 greater than or equal to -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 16411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 736*i**2 - 13*i - 2. Let b(c) = 2*c**2 + 2*c - 1. Let s(u) = 3*b(u) + g(u). Let h be s(11). Round h to the nearest 1000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**2 + 10*u - 4. Let t be k(9). Suppose -5*l - t*j + 85 = 0, 3 = -l - 2*j - 3*j. What is the highest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, w: 4, p: 1, l: 2, f: 1, a: 4}. What is prob of picking 3 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*sqrt(1872))**2*4.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31842\/17 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 3\/7  (c) -1  (d) 364  (e) 1  (f) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {f: 3, v: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 140 = w, 4*h + 2*w - 10 = 190. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 270.5164ml to litres.\nAnswer: 0.2705164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 4*q**2 - 43*q. Let s(p) = 90*p - 2. Determine s(a(b)).\nAnswer: 360*b**2 - 3870*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 79, 341, 777, 1387, 2171?\n\"Answer: 87*m**2 + m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -6643*z. Let n(o) = 708*o. Give t(n(p)).\nAnswer: -4703244*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 3)*746\/1119?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 64*k**3 - 3*k**2 - 2*k - 6. List the prime factors of v(3).\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vwvc when four letters picked without replacement from {w: 1, v: 2, c: 1, z: 1, g: 4}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00916742784 to four decimal places.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -0*l - 5*l. Let a be ((-9)\/l)\/(15\/(-100)). Calculate the greatest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 492.953 millilitres?\nAnswer: 0.492953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/3*(-367 - -368). Factor 0*b + s - 3\/2*b**3 + 3\/4*b**2 + 3\/4*b**4.\nAnswer: 3*b**2*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*b**2 - 26*b**2 + 15*b**2 + 21.\nAnswer: -2*b**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.16378 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 220, 910, 2060, 3670, 5740, 8270?\n\"Answer: 230*t**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8631 + -8586. Calculate the least common multiple of 465 and t.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-12))\/(136\/36). Let o = 121\/340 + a. Find u, given that 4\/5*u - 2\/5*u**2 - o = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 2386.\nAnswer: 16702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 - 19*k + 21. Let q be r(24). Suppose -c - 2*c + 3*z + q = 0, -4*z = -3*c + 136. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 125*m - 125*m - 45*m**2 as i*m**2 + o + x*m and give i.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1021464667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) - (sqrt(208) + sqrt(208) + (sqrt(208) + -2)*3 + sqrt(208)))**2.\nAnswer: -240*sqrt(13) + 5236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25752 by -696.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*x**3 + 305865*x**2 + 2*x + 7712199.\nAnswer: -24*x**2 + 611730*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40879874?\nAnswer: 2, 7, 97, 30103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10)\/sqrt(2) - sqrt(5)) + 0 + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11375 - 5*l - 11375.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = -3 + 33. Solve -k*l + 6*l = 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2053250 to the nearest ten thousand.\nAnswer: -2050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -15*m**2 - m + 1. Let i be v(1). Let n be 5\/(i\/(-18)) + -2. Sort n, -1, 1 in decreasing order.\nAnswer: n, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 334861453*b**3 + 395290*b**2 - 39529. Let c(f) = -16943*f**3 - 20*f**2 + 2. Determine 39529*c(v) + 2*h(v).\nAnswer: -16941*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**3\/3 + 7725*c**2 - 44760581*c + 134258569\/3 = 0. Calculate c.\nAnswer: 1, 11587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -25, 12, 0, 2, 4 in descending order.\nAnswer: 12, 4, 3, 2, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 + 4*o + 20. Determine p(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10823?  (a) 4\/9  (b) -2  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - -33. Suppose g = 20 + m. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -740282046*k**3 + 1127246794 with respect to k.\nAnswer: -2220846138*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*g**3 + 38035185*g**2 - 76070361*g + 38035179 = 0. Calculate g.\nAnswer: 1, 12678393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9757070, -9757073, -9757076, -9757079, -9757082, -9757085?\n\"Answer: -3*r - 9757067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s**5 - 5*s**5 + 4*s**5)*(0 + 3 - 2)*(2 + 2 - 8).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 364973147 to the nearest integer?\nAnswer: 19104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (211 - 425 + 150 + 388)*(-5*t - 9*t + 14*t**2 - 12*t**2).\nAnswer: 648*t**2 - 4536*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 94736 and 574337.\nAnswer: 9189392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-214)\/(-10) + 2 + (-48)\/20. Calculate the greatest common divisor of 105 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/4)*k)**29*(k\/(k*k\/k**(-2\/3)))\/k**(6\/7)*k**(-4)*k**(-2)*(k**(-1\/3))**(7\/10) assuming k is positive.\nAnswer: k**(1819\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/2*r**2 + 57*r + 1083\/2.\nAnswer: 3*(r + 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.098 - 5.098. Let z = 3.97 - -0.03. Is z >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 21 - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -353 + 343. Calculate the common denominator of 41\/5 and ((-8)\/(-112))\/(w\/152).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, y: 11, d: 4}. Give prob of picking 1 d and 1 z.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 28774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-2002)\/(-21))\/(-13)*-10*(-24)\/80\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*q**2 - 4*q**2 - 8*q**2 to the form k*q**2 + u*q + t and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -71 - 67. Let b = 137.8 + s. Is b bigger than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-6)*p**4)\/(p*p**(-3)*p*p*p**(2\/3)\/p*p))\/((p*p**3)\/p**0)**23 assuming p is positive.\nAnswer: p**(-284\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (((-12)\/(-10))\/(-3)*5)\/(-1). Let c(v) = -3*v**2 + 13*v**2 - 13*v**s. Let o(q) be the first derivative of -12*q**2 - 143. Calculate c(o(k)).\nAnswer: -1728*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 595?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-9)\/3)\/((-57)\/(-38)). Let l = 5\/4 + 41\/4. Let o = l + -12. Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7326\/2035)\/(18\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x + 13. Determine d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (4 - 10 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 - -57. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -q**5\/70 + 2*q**4\/21 - 4*q**3\/21 + 48*q. Let u(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*v = -106 + 72 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 10:25 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwweewwwemwwwee?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*4*6*-5*-1*sqrt(1900))**2.\nAnswer: 109440000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 + 11*q**2 - 9*q - 28. Let z be h(10). Let f = 18 + z. Solve f = 3*a + 2 - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 2. Let a(g) = g**3 - 37*g**2 - 37*g - 63. Let z(k) = -a(k) - 3*j(k). Is z(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -471 + 60 + 61 + 57 + 11*d + 238 + 55.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z - 2. Let t be a(7). Suppose -h = 1 + t. Let o(g) = -12*g**2 + 17*g - 9. Let d(i) = 7*i**2 - 9*i + 5. Let r(j) = -7*d(j) - 4*o(j). Give r(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 13*m + 46. Let d be c(-9). Let h(a) = 30*a**3 - a + 1. Let v be h(1). What is the highest common factor of v and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1894 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 134 - 157. Suppose -84 = -c*h + 8. Solve 2*k + 0*k - 2*r = -16, h*k - 4 = -5*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/11, 1\/2, 10, -45\/43, 2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -118 - -350\/3. Let r = -0.1 + 4.1. Put r, j, 0.5 in ascending order.\nAnswer: j, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 0) + -8 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1053)*-3 + sqrt(1053))*6)**2.\nAnswer: 151632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 37596440*s**6 + 74009771*s**2 wrt s?\nAnswer: 4511572800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (8 + 8) - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (28 - 7) + -4 + -1 + 2 + 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56065.\nAnswer: 5, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 4:54 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(18)\/((sqrt(24) - sqrt(6))*-2) - (2*sqrt(363) + 3)*1)**2 + -1.\nAnswer: 90*sqrt(3) + 6087\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -2\/11, -0.118, -3, -169, 0.1, -3\/5, -8\/3?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/77 - (-60)\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + -12. Let c(b) = -b**2 - 3*b + 5. Let t be c(r). What is the first derivative of 1 + 8*k + 2*k - 3*k + t wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 186.\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/2387 and 18\/61411?\nAnswer: 675521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 - 5*n**2 + n. Let m be d(5). Suppose -2*b + m + 25 = 0. Suppose -3 + b = 4*p. Solve 8 = i + p*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-3 - -10) + (15 + -5 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 31840, 31669, 31412, 31069?\n\"Answer: -43*z**2 - 42*z + 31925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 103, 165, 269, 415, 603, 833, 1105?\n\"Answer: 21*w**2 - w + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-50) + 23733549\/1575 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/(-28)*40\/600.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -254, 325, 1260, 2527, 4102, 5961, 8080?\nAnswer: 10435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 75238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) 1\/2  (c) -2  (d) 0.2  (e) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q**3 + 0*q**3 + q**3 + (3 - 6 + 1)*(0 - q**3 + 0 + (0*q**3 - q**3 + 5*q**3)*(-1 + 3 - 1) + (q**2 - 2*q**2 + 0*q**2)*(19 - 19 - 4*q)).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*(((z*(z*z**16)\/z)\/z)\/z)\/z*z**(-15) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -l - 4*s, -4*l - 236*s + 16 = -240*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 63180365 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0*(3 + -2 + -2). Suppose 0 = 2*t - r + 4*r - 28, y = 2*t - 4*r. Calculate the least common multiple of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 12*w - 16. Suppose 2*c + 3*c = 2*h + 35, 3*c - 5*h - 21 = 0. Let u be i(c). Suppose -t - 3 = -u. Calculate the remainder when t is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -98, -301, -2 in descending order.\nAnswer: -2, -98, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/3 - (2 + (5 - 333)). Suppose 1241 = 5*u + b. List the prime factors of u.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 3*t**3\/2 + 6735*t**2 - 13479*t\/2 - 13473 = 0.\nAnswer: -4491, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -109*r**5\/10 - 29*r**4\/12 + 3*r**3\/2 - 7*r + 36. What is the third derivative of j(v) wrt v?\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3*v - 2. Let z(o) = o**2 + 1396*o + 1. What is m(z(u))?\nAnswer: -3*u**2 - 4188*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25.4 - -25. Suppose -720 = 2*s + 2*s. Let l be (12\/s)\/((-1)\/(-2)). Which is the smallest value?  (a) l  (b) i  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 2\/123, 0, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2253*p**4*q - 2*p**3*q**3 - 162*p**2*q**3 + 2*p**2*q**2 + 30*q**3 wrt p?\nAnswer: -54072*p*q - 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-26)\/637)\/((-1)\/7). Sort -3, 5\/3, 0.2, t in decreasing order.\nAnswer: 5\/3, t, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 176 and 4444?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.65?  (a) 1  (b) -2  (c) 4  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 123, 1.\nAnswer: -4, -1, 1, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.64 + -26.36. Let m = g + 26. What is the third biggest value in -0.1, 0.6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/4*(-5)\/12*(-4)\/(-20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11078 or -11077?\nAnswer: -11077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6305, -12552, -18799, -25046, -31293, -37540?\nAnswer: -43787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 3*x + 95. Suppose 0 = -4*h + h - 4*i - 50, 0 = -5*i - 10. Let q = h - x. Solve k = -3*k - q*p - 22, 5 = -3*k + 2*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1200 less than or equal to 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 137587008.\nAnswer: 2, 3, 13, 199, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1102861 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlljllljjjjjjj. What is prob of sequence jj?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -15  (b) -1\/4  (c) 11  (d) 0.0473  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1363 is divided by 1030?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47 + -44. Let u(v) be the second derivative of 0*v**2 + 1\/15*v**6 + 4\/3*v**c + 4\/3*v**4 + 1\/2*v**5 + v + 0. Factor u(k).\nAnswer: 2*k*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cqiq when four letters picked without replacement from {c: 2, i: 3, q: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - -8. Let r = -2 + f. Calculate the remainder when 39 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/(-3) - 2\/6. Suppose -5*j = r*n - 53, 45 = j + 3*j + 5*n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -77876, -155773, -233680, -311603, -389548, -467521, -545528?\n\"Answer: -u**3 + u**2 - 77893*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2229*i + 10477*i + 6889*i + 110*i in the form w*i + y and give w.\nAnswer: 15247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*n**3\/9 - 5056*n**2\/3 - 1894078*n\/9 = 0. What is n?\nAnswer: -7457, -127, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 - 6*r + 9. Let v be -7*(4\/2)\/2. Determine p(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 10:08 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*f**2 + 230708 - 230708.\nAnswer: -38*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -37*c**2 + 2*c. Let r = -495 + 505. Let h(z) = -37*z**2 - 10 + 36*z**2 + r. Give n(h(u)).\nAnswer: -37*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (46 - (88\/20)\/((-26)\/(-130)))*(-6)\/16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 1 - 21 = 0. Let p(x) = -x**2 + 3*x + 2. Let m be p(2). Suppose -7*i + 14 = -5*i. Solve -y*f = -3*s - i - 3, -4*s - 16 = -m*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 152 and 16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39348742*d**3 + 1095*d + 844.\nAnswer: 236092452*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9917520 divided by -961.\nAnswer: -10320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -2, 14, 3 in decreasing order.\nAnswer: 14, 3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 11*c - 18. Let m(q) = 16*q - 18. Let r(w) = 2*m(w) - 3*s(w). Calculate r(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -536*k + 13225 = 2505 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 8*z**2 - 7*z - 13*z + 12*z - z**3 - 8. What is g(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j = 21*j - 3570. Find the common denominator of j\/(-8)*42\/175 and 107\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1043*o**2 - 1060*o**2 - 320*o - 38*o wrt o.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*j + 2553 = 4445 + 7720. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -5*y - 42. Let c be (3\/(-6))\/(1\/y). Let z be ((-2736)\/1596)\/((-2)\/14). Are z and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*n - 12509, k - 3 = -0. Round n to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 703518047 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 123 and 125 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -3*g**5\/20 + 5*g**3\/6 - 29*g. Let f(o) = -4*o**3 + 8*o. What is -5*f(u) + 8*l(u)?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 147b297c + -2?\nAnswer: 147b297a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -255503 to the nearest one thousand.\nAnswer: -256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*x - x + 3*x)*(1 - 1 - 2*x)*(-1 + 2 + 2) + 12*x**2 + 0 + 0 in the form q*x**2 + b + h*x and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141 - 369 = -15*d. Let n(x) = -8*x - 100. Calculate the remainder when n(-20) is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-105))\/(2\/(-10)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/2*m**4 + 0*m - m**3 - 1\/2*m**2 + 0 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 - (-20)\/(-4)) + (-20)\/(-9). What is p in 0 + 2\/9*p + 2\/9*p**2 - j*p**4 - 2\/9*p**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1433962*5\nAnswer: -0.716981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17559 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2012560 and 2860.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4713\/34 - -277\/2. Let t = 124\/5 + -501\/20. What is the closest to 3\/4 in t, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/238 and -71\/6902?\nAnswer: 6902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8227 at most as big as 1821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - b = -4*m, -b = 5. Let z be 6 + m + 0 + 3. Solve -5 = z*v + 3*p, -4*v + p = -p - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 213 and 213639.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -128.93 + 130. Let n = r - 1. Let h = n - -0.03. What is the biggest value in 0.3, -1\/7, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.532 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -4  (c) -7  (d) 31\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(((-3)\/36)\/(77\/44)). Suppose -5*l = 2*z - 37 - 30, -4*l + 104 = 4*z. Let i = z + q. Which is smaller: -1\/2 or i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6, -3, -1, 7, 109 in increasing order.\nAnswer: -6, -3, -1, 2, 7, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnmmmmumumuunmuummm. What is prob of sequence umm?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/(-45) - (-133)\/9. Let h be (-56)\/(-3) - 10\/v. Let r be 3\/h*(-1)\/1. Sort r, -4\/7, 0.01 in decreasing order.\nAnswer: 0.01, r, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f + 1. Let c = -21 - -17. Let n be j(c). Calculate the greatest common divisor of 55 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1291 + 0.4.\nAnswer: 1291.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15241557*p**5 - 688383921*p wrt p.\nAnswer: -304831140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1676.3014298 to 1 dp.\nAnswer: 1676.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.6 + 0.6. Let i = s + 7.022. What is i rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 3*p + 153, 0 = k + 4*p - 46 - 8. Is k\/4 - (-24)\/16 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n - 4440 = -3*n. Let i = n - -2707. What are the prime factors of i?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 723 + -619. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/(42\/12) + 262 + 0. Suppose -k + o = 4*k. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*h - 166407 + 16*h + 83194 + 83165.\nAnswer: -h - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 + -19. Suppose 2*q - 8 = 0, w + 2*w = -z*q + 47. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1696*w - 27234 + 37375 = -45827 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133 = -28*w + 9*w. Suppose 1165 + 109 = w*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 2437253.\nAnswer: -1218626.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Expand (l - 1 + 1)*(-2*l**2 + 0*l**2 + l**2)*(-l + 52 - 52).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54375?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j. Let o(f) = -64524*f. Calculate q(o(i)).\nAnswer: 64524*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 296, 291, 282, 269, 252, 231?\n\"Answer: -2*x**2 + x + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -6*r + 3. Let d be h(5). Let g be 2\/(-9) - 951\/d. Is (g\/3)\/(3\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of -7*t**5\/20 - t**3\/6 - t**2\/2 - 4*t. Let v = 2 + -3. What are the prime factors of m(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 15) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 1:17 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -32918691 divided by 2532207\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 436.4466*-0.4.\nAnswer: -174.57864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2201*m**4 - 167122*m**3 + 290129348*m?\nAnswer: -26412*m**2 - 1002732*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of -9*l**5\/20 - 415*l**4\/12 - 3742*l**3\/3 - l**2\/2 - 387*l + 1. What is the second derivative of w(d) wrt d?\nAnswer: -54*d - 830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 15 - 17 = 4*j, 4*n + 5 = -79*j + 84*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 35*x**3 - 6*x**2 + 13*x - 5. Is p(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/6)\/(-4 + (-3)\/9)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from {h: 1, q: 18}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2 - 0.1. Let g = -25\/9 + 257\/99. What is the closest to t in 0.5, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -35*v**2 + 365*v + 218. Calculate q(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 + 3*n - 3. Let g be c(2). Let d(h) = -10*h + 10 - 2*h**2 + 23*h - 1. Let k be d(g). Solve -y - k*f = -5, 4*y - 18 = -4*f - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14423765969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -3*r**2 - r + 1. Let n be 28\/20 - (-2)\/(-5). Let a be x(n). Sort -5, a, 3 in descending order.\nAnswer: 3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + 3. Let r(v) = g + 8*v**2 + v**3 - 2*v - 13 - 4*v - 4*v. What is r(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/20*25\/(-30). Which is the second smallest value?  (a) 5  (b) 0.5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/4 + 1\/4. Let q = 4 + -6. Let s = -1897\/9 + 211. Which is the smallest value?  (a) s  (b) d  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26245028 rounded to the nearest one hundred thousand?\nAnswer: 26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 127807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -13*g - 49. What is the hundreds digit of o(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 53*d + 5. Let n(z) = z**3 - 7*z**2 + 6*z - 2. Let h be n(5). Let o = -18 - h. Is f(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 468517, 937028, 1405529, 1874014, 2342477, 2810912, 3279313?\nAnswer: 3747674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -705695*u**5 + u**3 + 1073418*u?\nAnswer: -14113900*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) -3  (c) 0.5  (d) -71\/20  (e) 3  (f) -9\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -341?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s + s + 3*s - 7*s. Let g(r) = r + 1. Determine g(l(y)).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -i**3\/6 - i**2\/2 + 682*i. Let q be -4 - (0 - 0)\/1. Let x(z) = 4*z + 3. Calculate q*k(c) - 2*x(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 3*c = 7, 2*c - 1 - 1 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13\/1350 or 1?\nAnswer: 13\/1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q - u + 21, 19*q - 3*u = 2101 - 2099 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of h**5\/20 - h**4\/12 - h**3\/6 - h**2\/2 - 2*h - 306. Let o(r) = -5*r**3 + 6*r**2 + 13*r + 4. Determine 6*c(d) + o(d).\nAnswer: d**3 + 7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 6.6 and -99.\nAnswer: -92.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1294959629?\nAnswer: 73, 17739173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -10, 2\/37, 0.4, 2\/51, 1, 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -536, -870, -758, -200, 804, 2254?\nAnswer: 4150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45318 - 43523. What is the highest common divisor of 85 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4*y = 22, 159*g - 154*g - 36 = 2*y. Calculate the highest common factor of 17410 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -117804080.3 rounded to the nearest ten thousand?\nAnswer: -117800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 133793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 578\/39 - 44\/3. Let m = w + -35\/143. Which is the biggest value?  (a) m  (b) 0.4  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 + 380\/(-57)*(-6)\/5. Solve 2*q = 5*s - 8 + m, -4*q = -s + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32790 and 5012498?\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7, 6\/59, 1049?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.138 - -0.832. Let y = m + -0.475. Let l = y + 23.805. What is l rounded to 0 decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + -1 + 2 + -2. Let b = 12 - 4. Let s = b - d. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + -1fb?\nAnswer: -1f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1.3763416+1\nAnswer: -0.3763416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, -8, -2, 1\/8, 4\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, 0, 5, 0.7 in ascending order.\nAnswer: 0, 1\/3, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -5\/4, 2, 3, -0.1, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 621606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 0, -16, -24, -18, 8?\n\"Answer: d**3 - 2*d**2 - 17*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 211*l - 150*l - 101*l as n + q*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000617 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -t**2 - 5*t + 2. Let b = -15197 - -15194. Calculate v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/66 and -131\/225572292?\nAnswer: 225572292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 6+-0.05682\nAnswer: 5.94318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 433.61 times -37\nAnswer: -16043.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3267) - (sqrt(3267) - -2*sqrt(3267)))\/sqrt(9)*-4.\nAnswer: 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-144))\/(6\/(-36)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 274\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 650*k - 168 = 636*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32258529 and 1627.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (62\/(-3))\/((-24)\/(-17280)*80)*(-2)\/(-4).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.5 + 0.3. Let u = -3.65 + 3.5. Let r = u - -0.25. Which is greater: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 + 3*g + 2. Let x be v(2). Suppose x*p - 3473 = 1499. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yd when two letters picked without replacement from {y: 5, r: 2, d: 3, q: 2}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*m**2 + 53*m**2 + 56*m**2 - 3*m**3 - 201*m**2 + 39*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 114820 + 48?\nAnswer: 114868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -403*w**4 + 0*w**3 - 192*w + 0*w**3 + 8 + 415*w**4. Differentiate v(j) with respect to j.\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18270 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8015463 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48803\/45 + 5527\/5. Let j = -21 + l. Are 1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 4*w - 9 = 3, 2*o + 4*w - 12 = 0. Suppose 3*d + o*d = l - 169, 5*l - 5*d = 885. What are the prime factors of l?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64759*w**2 + 61734*w**2 - 121125*w**2.\nAnswer: 5368*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**4*a*a**2)\/((a**(2\/9)\/a)\/(a*(a*a**(1\/7)*a)\/a)) assuming a is positive.\nAnswer: a**(625\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q - 5. Let s be u(-6). Suppose -5*h = -5*d, -2*h - 7 = s. Let r be (-1)\/d + (-2)\/(-56). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 844 + -476. Let f be -7*((i\/(-28))\/(-4) - 3). Sort 3, 2, f.\nAnswer: f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.25 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29062 or 28917?\nAnswer: 28917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/13)\/((-1792)\/(-1344))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(78)*-2 - sqrt(78)) - -3*1*sqrt(78))\/(sqrt(150) + (sqrt(150) - (sqrt(150) + (sqrt(150) - (2*sqrt(150)*5 + sqrt(150))))) - -2*sqrt(150)*-2).\nAnswer: -6*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: (-57 - -32) + 7 + 11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 694137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(-1*(-2 - -1)). Suppose g + 4 = 2*n. Let z be -1 + 2*1\/n. What is the nearest to 2\/7 in 3, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 - 5*h - 3. Let c be d(6). Suppose g + 2*g = 9. Suppose -g*i + c*z - 2*z = 0, 8 = 5*i + z. Solve -f + 1 = -w - i, -w - 8 = -4*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12?  (a) -1\/2  (b) -2\/2419  (c) -3\/10  (d) -2  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1213 divide 90068889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -15, -3, 0 in descending order.\nAnswer: 0, -3, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1434 and 29592741.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + 1fef179?\nAnswer: 1fef17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4559.\nAnswer: 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.683441168 to three dps.\nAnswer: -3.683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 8 = 4*r - 12, -3*r = x - 8. Let z(i) = 2*i**2 - 6*i - 5. Let v(j) = -2*j**2 + 5*j + 4. Determine r*v(m) + 3*z(m).\nAnswer: -2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of 4*v**3\/3 - 1336*v + 4307. Let s(t) = t. Determine y(s(i)).\nAnswer: 4*i**2 - 1336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2314910497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 22\/9*(92\/(-16) - -5). Put -2\/9, h, 3\/4, 5 in ascending order.\nAnswer: h, -2\/9, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 539139, 539148, 539157, 539166?\n\"Answer: 9*z + 539130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -25273109 or -25273102?\nAnswer: -25273102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-626758)\/3676)\/(88\/12).\nAnswer: -93\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*b - 9, 3*r + 14 = 2*b. Let g be 5*r*(-168)\/140. What is the tens digit of 8\/(-2) + (68 - g\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/2418 and -89\/453375.\nAnswer: 906750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1451319 is divided by 225.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -21 + 13 - -20 - 81\/18. Let s(m) be the third derivative of -23\/60*m**5 + 30*m**2 + n*m**3 + 0*m + 0 + 0*m**4. Differentiate s(u) wrt u.\nAnswer: -46*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1391, 2731, 4071, 5411, 6751?\n\"Answer: 1340*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/12?  (a) -2\/11  (b) -5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -116*f + 6. Give g(-1).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 2 - 2)*(-20 - 35 - c + 54).\nAnswer: 3*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*j - 159 - 162 = 87 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5241.\nAnswer: 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of j**3\/3 - 10*j**2 + 3*j - 12821. Let o(h) = -2*h**2 + 39*h - 5. Determine -10*d(z) - 6*o(z).\nAnswer: 2*z**2 - 34*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -130 - (121 + -154 + -199).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2006, -8151, -18448, -32903, -51522, -74311, -101276?\nAnswer: -132423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 322354152?\nAnswer: 2, 3, 19, 67, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, -22, -72, -148?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 1 + 0)*(6*u + 0*u - 2*u) + (1 - 1 + 1)*(2*u - 5*u + 4*u) - 2*u + 2*u - 2*u)*(2*u + 0*u + 3*u) to the form y*u**2 + h*u + x and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/110 and -113\/8820.\nAnswer: 97020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-4)*4\/(-3). Suppose -212 = -13*t - 290. What is the nearest to r in t, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (20 - 1 + 13)*(0*q - q + 0*q + (2*q - 2*q - q)*(0 - 3 + 4) + 19*q - 30*q + 15*q - q + 0*q + 3*q) as z*q + y and give z.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of 63*k**5\/20 + 8*k**4\/3 + 2*k**3\/3 + 26*k. Factor l(p).\nAnswer: p*(7*p + 2)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -54) + (-73 - (-11 - 58)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3 and -8578.\nAnswer: -8577.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 71*m - 62*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 713\/9 + 48\/(-216)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**2 - 9*n - 16. Let d be m(-6). Suppose t = -2*y + 155, -y + 228 = d*y - 3*t. Calculate the greatest common divisor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30263*z - 58 = -30269*z - d, -z = -4*d + 157 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -179*q**3 + 5*q**4 + 179*q**3 + (-2*q + 2*q**2 + 2*q)*(4*q**2 - 5*q**2 + 3*q**2).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2637, -8266, -17641, -30762, -47629, -68242, -92601?\n\"Answer: -1873*d**2 - 10*d - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 4. Let q = -15.1712 - -10.1712. What is the closest to -1\/6 in q, g, 3, -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of 5*z**2\/2 - 19*z + 19. Let w(q) = -24*q + 96. Let f(d) = -21*a(d) - 4*w(d). Differentiate f(s) with respect to s.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, r: 7}. What is prob of picking 1 r and 3 y?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l - 0*l - 9*l. Suppose 3*v - 7 = b, l*v - 2*b - 12 = -5*v. What is the greatest common divisor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 1. Suppose 2 = -h*a + 14. Is 13 a factor of 2\/a + 111\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -64 in decreasing order.\nAnswer: -2, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*s = -22, 2 = -s - 2. Suppose -i*l + 8*l = -130. Let u be l\/(-4) + (-3)\/(-2). Solve -5*g + 33 = u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 7. Let k(b) = 5*b. Let f(q) = -2*q. Let w(s) = x*k(s) + 10*f(s). Let a(t) be the second derivative of t**3\/3 - 7*t. Give a(w(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.8 in -0.4, -3, -2.7, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, 781, 3331, 8459, 17023, 29881?\nAnswer: 47891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71 + 5 + 1 + 42 + 23 + 11*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -48, -210, -480, -858, -1344?\n\"Answer: -54*y**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -7. What is the remainder when 25 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - sqrt(19)*5 - sqrt(19)) + sqrt(19))*-3 + sqrt(2736)*-5.\nAnswer: -51*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*k + 12, 6 = -a - k - 2*k. Let f be (-7 - -8) + (a - 1). Solve 4*w + 1 = -f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7204503\/2 or 3602252?\nAnswer: 7204503\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 11*l**2. Let u(p) = -3*p**2 + 104*p - 3. Determine u(t(d)).\nAnswer: -363*d**4 + 1144*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 26, 40, 54?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t + 6. Let u be h(5). Let l = 512999 - 197504779\/385. Let g = 8\/55 - l. Does u = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 188 * -110652.\nAnswer: -20802576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -140473, -280947, -421421, -561895, -702369, -842843?\n\"Answer: -140474*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6909\/4 - -1706. Find the common denominator of -47\/26 and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -1\/3*g**3 + 3*g - g**2 - 42. What is d(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.3  (b) -1.1  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20297858 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 113 - (27 + -73 + 96)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (110\/50)\/(2\/10). Let j(k) = -251*k - 91. Let a(v) = -50*v - 18. Let w(g) = r*a(g) - 2*j(g). Differentiate w(m) with respect to m.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 + 8*q**2 + 4*q - 6. Let h be (7*-1)\/((-4)\/(-4)). Let i be w(h). Let k(c) = -c**3 - 4*c**2 + 4*c - 3. Let y be k(-5). Solve y*n + n = i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/25)\/(-2) - (-204)\/210*-77 - -3.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k + 6. Let d(l) = 3*l + 13. Let m(j) = -5*b(j) + 2*d(j). Let x(g) = -g**2 + 10*g + 5. Let h be x(11). Let n be h\/(-27) - (-25)\/9. Determine m(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1216607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5092, 10168, 15240, 20320, 25420, 30552, 35728?\n\"Answer: 2*q**3 - 14*q**2 + 5104*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-52)\/12 + 4)*3. What is the third biggest value in n, -4, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + -27075021?\nAnswer: -27075025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of -431*d**6\/6 + 327*d**2\/2 - 133. Find the second derivative of r(y) wrt y.\nAnswer: -8620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 - (28 + -35) - -22.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + -30. Let k be (4\/6)\/(4 - m\/(-12)). Is k at least -4\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**13)**(2\/77))**9 assuming j is positive.\nAnswer: j**(234\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 40149583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f + 4*f - 31*f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4606, -4600, -4592, -4582, -4570, -4556?\nAnswer: -4540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - 3*a + 4. Let d be (4\/6)\/(12\/(-54)). Let h be x(d). Let t be 35\/h - 1\/(-4). Solve -5*q - 29 = -t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26737 - 26747. Let i be 2\/(2 + (-98)\/44). Is s >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/(-560))\/(-17 + (-4172)\/(-245))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6106373916 to the nearest integer?\nAnswer: 78143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(77) + -4*1*sqrt(77)))\/(3*((sqrt(99) - ((sqrt(99) - (sqrt(99) + (-3*sqrt(99) - sqrt(99)))) + sqrt(99))) + sqrt(11)))*-3.\nAnswer: 15*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaaamaaaxxaaaaaa. Give prob of picking 1 a and 1 x.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k**3 - k**2 + 1. Let b be g(-2). Let o be 18\/(-7) + (-6)\/14. Let z = b - o. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (7\/(-3) + 3)*3. Suppose 3*n = q + 75 + 118, -3*n + 191 = -2*q. Factor n*i - 196*i**t - 36 - 77*i - 156*i.\nAnswer: -4*(7*i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327139011 to the power of 1\/2, to the nearest integer?\nAnswer: 18087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10 + b7?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -840826 and -438?\nAnswer: 368281788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - 11010111000001?\nAnswer: -11010110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 1641*j**2 + 3*j - 4. Let v be w(1). Is 5\/2*v\/50 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by (-6)\/(-2) - -8*5\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*f = -22*f + 18*f - 40 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-54.722\nAnswer: 21.8888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y + 14. Let l be m(10). Let r(o) = o - o + l*o. Let x(j) = j**2 + 5. Let t(z) = -z**2 - 4. Let a(v) = -5*t(v) - 4*x(v). What is a(r(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 3*w**2. Let a(i) = -i**2 + 14*i - 24. Suppose y - 12 = -0*y. Let v be a(y). Let q(d) = 8*d + v*d + 3*d - 3*d. Determine z(q(o)).\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (29*g**2 + 28*g - 28*g)*(-1 - 7*g - 275*g**2 + 290*g**2 + 3*g) to the form p*g**2 + y*g**4 + k*g**3 + x + j*g and give k.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/13)\/(p\/(p*(p*p**(-5\/4)\/p)\/p)))\/((p**8\/p*p)\/(p\/((p\/p**(1\/5))\/p*p))) assuming p is positive.\nAnswer: p**(-2653\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 307204 and 430?\nAnswer: 66048860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 r when three letters picked without replacement from rsjrdsdrqr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-99)\/(-297)*(-2 + -21).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 73980 = -4*y + 2*i, -4*y - 5*i = -74020. What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 12\/8)\/((-36)\/864).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -563 + 567. Solve 4 = -2*o + z*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u**3 - 8*u**2 + 2*u + 2. Calculate a(-7).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -16*j - 17. List the prime factors of u(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**0*b)**(-16))**(2\/75)*(((b*b\/(b\/b**(-1\/3))*b)\/b)\/b)**(-1\/2)\/(b**(2\/5))**(32\/7) assuming b is positive.\nAnswer: b**(-731\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 936\/119 + -56\/17. Let 2*n**3 + 4\/7 + 22\/7*n + i*n**2 = 0. What is n?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 17790.397 to the nearest one hundred.\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of -41*g + 0 + 1\/6*g**3 + 0*g**2. Let x(y) = -9*y**2. Give c(x(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) + 0)**2 + 2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 26791\/2004 + 2\/6. Let a be 1\/(-2) + (-151)\/(-334). Let f = a - g. What is the common denominator of f and -73\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 53 - 49. Suppose -c - 16 = -g*n, 2*c - 8 - 20 = -4*n. Solve -c*r = 5*i - r - 15, -12 = -4*i + r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b + 3. Let a(l) = 3*l + 59. Let y be a(-19). Let i(c) = c**y + 577*c - 3*c**2 + c**2 - 577*c. Determine i(g(u)).\nAnswer: -4*u**2 - 12*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/24 and -73\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 3*w + i + 4, 0 = -4*w - 3*i + 3. Let g(o) = -o**2 - 5*o - 2. Let h be g(w). Suppose 20 = h*q - 2*q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ae3 + 0?\nAnswer: ae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6713 divided by -224.\nAnswer: 959\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 976974 is divided by 1342?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -127, 1, 3, 39, 0 in descending order.\nAnswer: 39, 3, 1, 0, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 574 + -4033\/7. Let s = y - -83\/42. Which is the smallest value?  (a) 218  (b) s  (c) 0.3  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23.41 - 24.63. Let j = a - -48. What is the smallest value in j, -3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 216 and 2553336?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3*t + 17. Let j be a(-9). Let o be 4\/10 + (-96)\/j. Suppose -o*d + 168 = -4*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a - 11. Let z be y(9). Suppose -2*s - 1 = z. Let q = 6 + s. Which is greater: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*r + 25 - 88. Solve 6*m + r - 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 - 10*w - 11. Let t be q(-8). Suppose -3*m = -12, 64 = h + 3*h + t*m. What is the highest common factor of 44 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-60)\/8)\/(-1)*(-72)\/60.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -8  (b) -1  (c) -0.2  (d) -4  (e) 4\/9  (f) -14  (g) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1068651036 a multiple of 1158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 5*m**3 + 72*m. Let w(y) = 3*y**3 + 36*y. Calculate 4*n(r) - 7*w(r).\nAnswer: -r**3 + 36*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 450*y + 99983 - 132833 for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -5, 30, 0, -1 in increasing order.\nAnswer: -5, -1, 0, 2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.5489 - -4.5489. What is the nearest to d in -0.1, 1\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 944.994  (b) 1\/6  (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(8\/13))**(-8\/3)\/(p*p*(p\/p**(-10))\/p*p**(-18)\/p) assuming p is positive.\nAnswer: p**(209\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.084971 rounded to two decimal places?\nAnswer: 6.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*s + 1071 = 49*s. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/(-3))\/(-3)*407\/111?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/222*(-20)\/4500*-45)\/((-2)\/(-36))?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 211440 (base 5) in base 3?\nAnswer: 100202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 + 3*n**2 + 3*n - 290. Let g(m) = 3*m**3 + 10*m**2 + 7*m - 870. Let z(u) = -7*d(u) + 2*g(u). What is the hundreds digit of z(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o**2 - 5*o - 11. Let i be s(6). Let h = 34 - i. Calculate the remainder when 13\/h*(8 - 5) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -2*a + 3*a, 0 = -l + a. Let z(h) be the third derivative of 0*h**6 - 1\/735*h**7 + l + 2*h**2 + 0*h**3 + 0*h**4 + 1\/210*h**5 + 0*h. Factor z(r).\nAnswer: -2*r**2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3755 or 0?\nAnswer: -1\/3755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 204478903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29089.22l to millilitres.\nAnswer: 29089220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 68 - -254?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -5*v - 5. Let a(j) = -15*j - 14. Calculate -4*a(t) + 11*k(t).\nAnswer: 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -805?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -75 + 127. Suppose 2*g - 5*s + k = 0, g + s = -14 - 5. Let l be 32\/14 - (-6)\/g. Solve -3 = l*a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z + q + 2*q, 0 = -4*z + 3*q - 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 15. Let g(h) be the third derivative of h**4\/24 - 8*h**3\/3 - 56*h**2. Let v(f) = 4*g(f) + 5*o(f). Let c(u) = 2*u**2. Give c(v(x)).\nAnswer: 32*x**2 + 176*x + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 420 and 840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -7*i - 209. Determine v(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 88 divide 684200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (677*g**2 - g + 4 + 0 - 680*g**2)*(-g + 6*g + 3*g) to the form m + f*g + w*g**3 + j*g**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 9849.97ng?\nAnswer: 0.00984997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 5*k + 7*k)*(-5 + 6 - 2)*(-27*k + 32*k - 28*k) - 2*k**2 + 2*k**2 + 2*k**2.\nAnswer: 186*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1643424474443 - -5.\nAnswer: 1643424474448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1839809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 670 a factor of 428529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12951 + -12954. What is the second smallest value in h, 0.1, -705?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.28 + -3.28. Suppose -4 = -2*u + l + l, -5*u - 3*l = -26. Suppose 0 = -u*i + 2*o - 22, -6 = 3*i - o + 10. What is the smallest value in i, r, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2184223 to the nearest 10000.\nAnswer: -2180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 16) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 856242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 18\/7779607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 554 and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*y + 2*y + 11*y.\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 + 101 + 4 - 171?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 11:41 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/230 and 41\/25?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -41738, 1\/4, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**3 - 3*o**2 + 46*o - 7. Let u be p(4). Is u equal to 2\/7379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -16. Let w(x) = x**2 - 4*x - 12. Let n be w(o). Let u(d) = 13*d**2 - 7*d + 3. Is u(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 879 + 778. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27435527?\nAnswer: 7, 23, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 6 = -3*x, 3*z - 5*x - 3 = -13. What is the units digit of (-6 + 4)*(z - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 316 divided by 3\nAnswer: 316\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 - y**2 - 7 - 2*y + y**2 + 5*y + 7*y**2. Calculate c(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/3930363 and 71\/1746828.\nAnswer: 15721452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -79, 84, 501, 1178, 2121, 3336, 4829, 6606?\nAnswer: 8673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/9 of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(4 + 3*sqrt(1872)) + -1 + (3*sqrt(637))**2 + 3.\nAnswer: 36*sqrt(13) + 5739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -189, -374, -561, -750, -941, -1134, -1329?\n\"Answer: -m**2 - 182*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*(k\/(k*(k\/(k\/(k\/((k*k**8*k)\/k))*k))\/k*k))\/k*k**2*k**(-1)\/(k\/k**22) assuming k is positive.\nAnswer: k**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2469979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) -0.05  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6279 and 35880?\nAnswer: 251160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p*p*p**(-4\/15)))\/p)**(-2\/3)*(p**(-1\/15))**(-9\/2))**(-20\/11) assuming p is positive.\nAnswer: p**(-262\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34789 and 228.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54 - -28. Let d = n + 56. Suppose -4*b = -14*b + d. Solve 0 + 9 = b*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2734643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10078140 and 3924?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3737241 is divided by 27080.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-611)\/(-52) - (5\/20)\/(-1). Solve 0 = -4*f + z, 3*p - 3*f + 4 = -11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -12033, -12032, -12031, -12030?\n\"Answer: l - 12034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 223 is divided by 54?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 182882937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -9966*a - 886966. What is m(-89)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -2*z**5 + 1730868*z**4 - 374488004170*z**3 - 6923472*z**2 + 1497952016712*z = 0.\nAnswer: -2, 0, 2, 432717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 5) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -79.07871 and 0.4.\nAnswer: -31.631484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - -1)\/(1\/9). Is (1172\/(-12))\/(-2 - 17\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51201?\nAnswer: 3, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.26  (b) 0.4  (c) -0.3  (d) -209.4  (e) -5  (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 45 + 19 - 2*d - 66 in the form v + g*d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 868*y + 35443 = -673*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33837893.\nAnswer: 33837893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1092653987.478 and 16.\nAnswer: 1092654003.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32 - 36. Which is the biggest value?  (a) 3\/4  (b) x  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**4 + 6362796*z**3 + 2530339215541*z**2 + 12651576775530*z + 15814421260225.\nAnswer: (z + 795347)**2*(2*z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i + 3. Let b be u(4). Let v(c) = -c**3 + 13*c**2 - 10*c - 12. Calculate the lowest common multiple of v(12) and (56\/(-4))\/(b*1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 767 - 349. Let w = a - 416. Solve -w*k - 4*m + m = 0, -5*k - 2*m - 11 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*a + 14*a - 156 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1176 - 1010 - 1179 + 10*g - 6*g + 3365.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -6*z + 3*z. Suppose -8*d + z*d = 0. Let a be d\/(-2)*5\/(-10). Solve -2*s - 1 = j, a = 5*s - j - 0*j - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 - -132.177980721?\nAnswer: 131.877980721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 66*p**2 + 3*p + 70. Is q(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 + 3*a + 997. Determine t(33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147577289?\nAnswer: 17, 107, 81131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = 4*i + 5*t - 30, -37 = -5*i - 4*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -7*t + 41. Let f be s(6). Is -4\/59 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1299332\/(-8)*((42\/6)\/(-7) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.1343 - -0.0443. Let y = c + 2.0585. Round y to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 975 and 30.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**8*i\/i**17)\/(i**2\/i*i*i**(4\/13)*i))**(-5\/8) assuming i is positive.\nAnswer: i**(735\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -6*c - 3. Let v(h) = 4*h + 2. Let a(m) = 5*f(m) + 7*v(m). Let j(n) = -n**2 - 11*n - 6. What is -11*a(z) + 2*j(z)?\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -244 + 1711\/7. What is the closest to 0.1 in 2, -0.026, w?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0  (b) 1\/52  (c) 2455  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 135271.061371 - 135271. Round m to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + (155\/15 - 14). What is the second biggest value in -2\/13, t, 507?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 709*g**2 + 3*g + 47. What is the thousands digit of t(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -333 + 334. Do -37.8 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 5*p**2 + 75*p + 25. Let j be c(-29). Calculate the highest common divisor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6016, 34, -28 in decreasing order.\nAnswer: 6016, 34, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 36324*o + 0 - 36289*o as j*o + t and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**2\/7 + 5183113*i\/7 - 20732436\/7 = 0 for i.\nAnswer: 4, 5183109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a + 36 - 3 = 0. Let s(g) = a*g + 3*g - 3*g - 4 + 6 - 4*g. Let o(c) be the first derivative of -c**2 + 2*c + 1. Give 2*o(m) - 3*s(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 43635*o + 218125. Calculate z(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -5*i**3 + 1405*i**2 - 97995*i - 99405 = 0.\nAnswer: -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-4\/3)\/((h*h**(-1\/6))\/h))**(-23)\/(h**(-2\/15)*h*h**(-4)*h)**(-5\/11) assuming h is positive.\nAnswer: h**(569\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/(3\/(12\/8)). Solve a - 3*i - 7 = 3, -a - 5*i - 14 = m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + u + 18, 7*t - 4*t - 6 = -3*u. Find the third derivative of -95*k**t + 6*k**2 - 16*k**2 + 87*k**5 wrt k.\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72.87701 years to decades.\nAnswer: 7.287701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 y when four letters picked without replacement from {y: 12, e: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - 9*f**2 - 7*f + 64. Let k be y(9). Is k at least -4.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -5*j - 8 + 2*j + 2*j + 0*j. Let c be y(-6). Is 0 + (-4)\/c - -291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-82)\/(-246)*(3 + 0))\/(2\/(-8)). Put 5, -12, -5, 1, j in decreasing order.\nAnswer: 5, 1, j, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 39*(-4)\/(-3)*(1 - 10). Let w = l - -469. Is 117 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -4 - 0. Let r = -4 + -2. Let u = i - r. What is the remainder when 20 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, i: 3, e: 6, z: 7}. What is prob of picking 2 i and 1 x?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - -14) + 1 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 9. What are the prime factors of u*((-88)\/(-6) + 0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 3*a + 15, -2*a - 4 = -t. Let s be (2\/2 - 5)\/t. Solve 20\/3*x + 50\/3*x**2 + s = 0 for x.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*g + 11*g - 9*g + 3 + 0*g + 2*g + 0*g + (-5*g + 2*g + g)*(-5 + 2 + 1) + 5 + 4*g - 5 to the form x*g + n and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 1734 = -2*g + 3*b, -1707 = -2*g - 5*b. Suppose -5*k + g = -214. List the prime factors of k.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*n + 75. Suppose 0 = -4*g + g - 9. Let d be -3*g\/n*1. Which is the third smallest value?  (a) -2  (b) -3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10*(2 - -4 - 133\/21)*180. Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16092*c**4 - c**3 + 40425.\nAnswer: 64368*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 191.3 - 191.2732. What is n rounded to 4 decimal places?\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 13.16361 months?\nAnswer: 0.0010969675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 29 = 21. Suppose 70 = -5*u + 220. What is the highest common divisor of u and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 at least 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 3:04 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddkddkdhhdkdhkdd. Give prob of picking 2 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -4*o + 16. Suppose 2*f = o*f - 6. Let v(q) = 4*q - 4. Let k be v(7). Calculate the greatest common factor of k and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -67, 254.\nAnswer: -67, 8, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from uuttuutu.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*p**4 - 2*p**4 - 4*p**4)*(0 + 3 - 5)*(11334 - 25340 + 12692 + 16725) as x*p**4 + z*p + b + y*p**3 + f*p**2 and give x.\nAnswer: 61644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144*w**5 - 4058796*w**4 - 28604618224*w**3 - 59581201520*w**2 - 41306921344*w - 9532054272 = 0. Calculate w.\nAnswer: -14092, -3\/4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2, -5, -24, -61, -122?\n\"Answer: -u**3 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 20724*w**2 + 22838*w - 26. Let y(z) = 8290*z**2 + 9136*z - 10. Let j(i) = -10*b(i) + 26*y(i). Find the second derivative of j(h) wrt h.\nAnswer: 16600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -29*l + 11. Let s be b(19). What is the hundreds digit of (s\/40)\/(1\/(-22))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 947146883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -241386634310 take away -4?\nAnswer: -241386634306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -2.31, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 2*i = 4, -3*i + 13 = 4*m + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 17*i**3 + 2*i**2 - i. Let v be y(1). Suppose 10*u = 45*u + 2*u. Solve 2*m - 4*f + v = 0, -2*m + u*m + f - 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4435714 divided by -2217857\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (13\/(-4))\/(-1) + -2. Let s = 1416 - 1421. Which is the nearest to 0?  (a) s  (b) d  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, -26, -67, -134, -233?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 99.4662 centuries?\nAnswer: 994.662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 8, -0.1811 in decreasing order.\nAnswer: 16, 8, -0.1811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 497.488245 and 1828.\nAnswer: 2325.488245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1934 + 1936. Let x(y) be the first derivative of 0*y - 3 + 11\/2*y**p. Let v(o) = 3*o**2. What is v(x(j))?\nAnswer: 363*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -104 + 50. Let u = x + 79. Determine g, given that -18*g + 160*g**4 - 13*g**2 + 4 - u*g**2 + 144*g**3 + 0 = 0.\nAnswer: -1, -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 242903044 to the nearest one hundred thousand.\nAnswer: 242900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 22 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29*y + 9*y - 7*y + 18*y**4 wrt y?\nAnswer: 216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 0*j + j - 28 = 0, -4*j + 16 = 0. Let z be r\/(-20) - 37\/(-5). Let w = 5 + -5. Solve 4*x - n - 16 - 4 = w, -2*n - z = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 10) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -317 by 493.\nAnswer: -317\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1655302, -3310604, -4965906, -6621208, -8276510, -9931812?\n\"Answer: -1655302*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -114232 or -113789?\nAnswer: -113789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 591\/12 - (-3 + (-39)\/(-12)). Suppose 5*m + 0*h - 49 = -h, -4*h - 11 = -3*m. What is the remainder when (x - 14)*m\/5 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54939 + 45256 - 75657 = -85*z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n**2 - 36*n + 3. Let x be t(-18). Let b be 285 + 4 + (2 - x). What is the highest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 23, -10, -71, -172, -325, -542?\n\"Answer: -2*s**3 - 2*s**2 - 13*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 17  (b) -5\/2  (c) -3  (d) -2\/3  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**3 - 71853999*h**2 - 143708007*h - 71854005 = 0.\nAnswer: -1, 23951335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.7  (b) -3\/4  (c) 2\/31  (d) -3  (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -6.14. Let g = s + -0.1. Let p = 0.41 - g. What is p rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56 - -49) + 2 + -2 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4801, 9600, 14399, 19198, 23997, 28796?\n\"Answer: 4799*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -922547.622 - -1030416425.622. Let t = -1029493964.0000006 + l. Let q = -86 - t. What is q rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -50570 + 0.1.\nAnswer: -50569.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -182, -371, -564, -767, -986, -1227, -1496?\n\"Answer: -i**3 + 4*i**2 - 194*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -3*h**2. Let b(k) = -2335*k. Calculate o(b(y)).\nAnswer: -16356675*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -7*m**2 - 6*m - 13. Calculate f(-5).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 37909 divided by -5\nAnswer: -37909\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) 12  (b) -15\/4  (c) -71\/4  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 105 - 98 = -5*v, m + 3*v + 13 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8.2 - 8. Let c = 737\/5 + -148. What is the closest to b in 0, c, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/45)\/((-46284)\/8265)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.5 + 0.3. Let w = o + -1.71. Let n = w - 0.09. What is the third smallest value in n, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 44 + 23 = -21. Is i at least 4\/2163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 17*f**2 - 44*f + 33. Let a be w(-4). Which is smaller: -19\/106 or a?\nAnswer: -19\/106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0431*-0.4.\nAnswer: -0.01724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4927921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -409\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -4*w**2 - 27*w + 42. Give m(-14).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, z: 8, r: 1, i: 2, h: 3, o: 1}. What is prob of picking 1 i, 1 o, and 2 h?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 3189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1896\/4890 - (2 - (-8)\/(-5)). What is the nearest to f in -0.4, 3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = 4*l + 48. Is 11 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 609 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 0.24  (b) -6  (c) -7.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 698 = 1618. Is 40 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/40 and (-9)\/((-225)\/2) + (-2652)\/(-45600)?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 670*l**2 - 138*l**2 + 656*l**2 + 2*l + 184*l**2 + 54.\nAnswer: 1372*l**2 + 2*l + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-6)*-9*(-26)\/3*1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.644451l to millilitres.\nAnswer: 644.451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*v - 397 - 263 = 61 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -129 and 3010.\nAnswer: -388290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -383?\nAnswer: -5\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q - 11. Let x be y(13). Let w be 40\/x - (-1)\/3. Suppose -w*p + p - d + 120 = 0, -4*p = -4*d - 228. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 374 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*s = 13 + 10, 3*j + 25 = 4*s. Let z = -0.18 - 0.22. Sort 1\/4, z, j in ascending order.\nAnswer: j, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 85877 by -11.\nAnswer: -7807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 5*b - 232, b - 4*z = -4*b + 238. What is the lowest common multiple of b and 9?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = u - 84. Let s(c) = 2*c**3 - 5*c**2 + 7*c - 5. Let v be s(5). Let j = v - 72. What is the remainder when j is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -4*w**2 - 140789208*w - 1238850068079204 = 0?\nAnswer: -17598651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 32\/(-10) + 144\/24 + -3. Do w and -1.237 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -995\/2 - -18893\/38. Let x = 31\/38 + k. Factor x + 8*m**2 - 4*m.\nAnswer: (4*m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 47*g**2 + 4*g - 9. Let y(d) = -70*d**2 - 5*d + 14. Let a(p) = -5*y(p) - 8*z(p). What is the second derivative of a(q) wrt q?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 - 10791.\nAnswer: -10787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -994\/5 - -200. Suppose 3\/5*r**2 + 0 + q*r = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -346790 - 8\nAnswer: -346798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*o + 60*o + 2*i - 11 = -71, -13*i - 39 = -o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-4 + (-6*(sqrt(612)*-2 - sqrt(612)) + 5*(sqrt(612) + -3) + 3)*2))**2.\nAnswer: -61824*sqrt(17) + 5183104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of 5*k**4\/4 + 65*k**3\/3 - 560*k**2 - 14700*k + 1304. Factor p(q).\nAnswer: 5*(q - 15)*(q + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*g - w, -11 - 14 = -4*g - 3*w. Suppose 5*i + g*l = 25, -2*i - 4*l - 1 = -11. What is the second derivative of i*r**4 + 3*r - r**4 + r - r wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 416 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -2352?\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, y: 10}. What is prob of picking 3 y?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4017, 4016, 4013, 4008, 4001?\n\"Answer: -t**2 + 2*t + 4016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 20 = 0, 3*r = 4*t - 19 - 9. Suppose -2*h + 58 + t = 0. What is h rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 - 5*g + (-4 + 0 + 5)*(2 - 2 - g) + 2 - 3*g - 2 - 5*g + g - 5*g in the form n*g + o and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*z**4 + 132*z**2 - 2*z - 53 wrt z.\nAnswer: -36*z**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 50\/(-15)*6\/(-4). Find the third derivative of -13*o**5 + o**2 + v*o**5 + 8*o**2 wrt o.\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3691672205 to the power of 1\/2, to the nearest integer?\nAnswer: 60759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 8*s - 584. Calculate the highest common divisor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 136*t**3 + t + 2. Let k be n(-1). Is k\/(-2)*(-112)\/(-84) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(1\/2))**(10\/3))**(-1\/5)\/((o**7\/o**0)\/(o\/(o\/o**7)*o**(5\/4))) assuming o is positive.\nAnswer: o**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 544, 542, 540, 538, 536, 534?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -83 divided by -83?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 - 7. Let r be s(3). Suppose -5*u - r = 8. Let w be 0 + (-6)\/(-1 + u). Which is the nearest to 0.2?  (a) 0.1  (b) w  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 + 59 = 9*d. Let y = -22 - -26. Factor -5*u**4 + 7*u**2 + d*u**2 - y*u**2 + 4*u**2 + 10*u.\nAnswer: -5*u*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -293 - 127 = -15*t. Calculate the greatest common divisor of t and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 3 = y, 3*y - 4*l - 10 = -1. Let a(p) = p**3 + 10*p**2 - p - 6. Let z be a(-10). Which is bigger: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1474*i**2 + 3*i**3 - 1474*i**2 + (1 - i - 1)*(4*i**2 - i**2 - 4*i**2) + 5*i**3 - 3*i + 3 - i**3 + 0*i**3.\nAnswer: 8*i**3 - 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of 0*f**2 - 3 + 4\/3*f**3 + 5*f. Differentiate j(c) with respect to c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25 + 5*r - 47 + 146*r**2 - 2*r + 22 to the form i + t*r**2 + d*r and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23 + 61. Calculate the remainder when i is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2 = -2. Let c(t) = -t - t**3 + 4*t - 2 - 11*t**2 - 1 + 14*t**2. Let l(v) = -v**3 + 2*v**2 + 2*v - 2. What is n*c(i) + 3*l(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 2)*(-5*d**5 + 4*d**5 + 0*d**5) + (3*d**4 - 4*d**4 + 3*d**4)*(5 - d - 5).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from sjjjjsjjjjj?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/5)*f)**(-38)\/(f**(-1))**(-1\/25) assuming f is positive.\nAnswer: f**(-571\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1837)\/(-44) - (-4)\/16. Solve -j + 44 - b = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((7\/(-2))\/7)\/(10\/(-10))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 PM and 12:23 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73843928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 772227899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 171265 + -43?\nAnswer: 171222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3*t + 9 + 2*t - 3. Suppose 415*n - 88 = -2163. What is a(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwffhfchffffcfcfcfff. Give prob of sequence cff.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*g**4 + 12*g**4 + 3 - g**2 - 2*g**3 + g**3 + 6*g**4 + 12*g**4 - 108*g to i*g**4 + t*g + o + n*g**3 + r*g**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158*x = -163*x + 582495. Let q = -35772 + x. Let w = q + -52727. Round w to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 590 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -118 - -117.9. What is the closest to -2\/5 in -0.3, u, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 16, -3, -4 in increasing order.\nAnswer: -4, -3, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/1757, 0, -9\/148?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 - 24. Suppose -10 = 3*o - i*o. Solve 3*q + n = -11, -o*q - 4*n - 26 + 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 4*j**2 - j + 1. Let w be a(4). Let m be w\/(((-4)\/16)\/(967\/6)). Suppose 3*u - u - m = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 158 - 145. What are the prime factors of (-2258)\/(-12) - (a\/6)\/13?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-278)\/33 + 31306\/4269.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2422*l**2 - 6693*l**2 + 4227*l**2.\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 5*d + 21. Let r be t(6). Find the common denominator of ((-2)\/(-12))\/(2\/r - 0) and -31\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 8\/15*y**3 - 2\/75*y**6 + 11 + 13*y - 3\/25*y**5 + 0*y**2 + 0*y**4. Suppose j(p) = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - 5. Suppose 1300 = -d + b*d. Suppose -y - k + 359 = 0, -d + 481 = y - 3*k. Round y to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1221*a**3*h + 175*a**3*u**2 + 3*a**3*u + 7*a**2*h*u + 8510*a*h*u**2 - 6*h*u wrt u?\nAnswer: 350*a**3 + 17020*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*x + 1338964 = 441440, 3590103 = 4*m + 5*x. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/568 and 49\/10.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6410 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -494*y - 7832 = -71*y - 69*y - 1106 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7\/4, 0.06, 10, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**1\/x**(3\/2)*(x*x**1)**(-39))**(-23) assuming x is positive.\nAnswer: x**(3611\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k**(2\/51)*k*k)\/((k\/(k\/(k\/(k\/k**(1\/13)))))\/k))**(8\/5)\/((k**(-1))**(-26)*(k**(-2))**(-4\/3)) assuming k is positive.\nAnswer: k**(-13742\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 3250 = -5*h + 146, -2268 = -2*y - 4*h. Calculate the lowest common multiple of y and 102.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 - ((13 - 102) + 24).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence za when two letters picked without replacement from izzzwezai?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -39, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19708*i*m**4 - 8*i*m + 5*m**4 - 2*m**2 - 18150*m wrt m?\nAnswer: -236496*i*m**2 + 60*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*m**4 - 7*m**4 + 11*m**4)*(2 - 6 + 0) as o + g*m**3 + l*m + c*m**4 + n*m**2 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 16, 0, -4, 1, -483 in descending order.\nAnswer: 16, 3, 1, 0, -4, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1724\/3 <= 575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 628 - 5334233\/8494. Let o = -37042531165799\/9988944 - -545128756\/147. Let b = q + o. What is the common denominator of 49\/8 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 338 + -342. Put a, -7, 0 in increasing order.\nAnswer: -7, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 270, 276, 284, 294?\n\"Answer: n**2 + 3*n + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -5) + -1 - 4 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4540908 > 4540910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-9) - (-4)\/(-6). Let y = 4\/1407 - -2794\/7035. Solve -y*k**2 + o + 6\/5*k = 0 for k.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnjn when four letters picked without replacement from jjjjtjjntnnjjntnjjt.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(17)*-1)*-6 + (sqrt(68) - -5*(-6*sqrt(68) - sqrt(68)))**2.\nAnswer: 6*sqrt(17) + 78632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*w**2 + 0 + 0)*(2 + 1 - 2)*(-33 - 31 + 22).\nAnswer: 210*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o + 5. Let l be n(2). Let x be l\/15 - 6\/5. Which is greater: 1\/13 or x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5079 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q - 74. Let t(a) = -2*a. Give t(p(u)).\nAnswer: 2*u + 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4662\/(-22644)*((-210)\/(-7))\/((-1)\/(-2)*21)\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -13*p + 2. Let x(c) = 6*c - 1. Suppose 0*o - 2*o - 4*f = 8, 4*f + 6 = -o. Give o*d(v) - 5*x(v).\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 764\/153 + -46\/9. Which is the fourth biggest value?  (a) 2  (b) -1\/20  (c) s  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -339*v + 8820 = 37*v - 236*v for v.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 723 + 757 + 22*b + 61. What are the prime factors of s(0)?\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, g: 2, z: 4, t: 1}. What is prob of sequence ts?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -27*i**2. Let l(f) be the first derivative of 7*f**3\/3 + 54. Determine l(b(y)).\nAnswer: 5103*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22*o + 17*o + 5*z - 15, -23*o - 3*z - 95 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qpq when three letters picked without replacement from {t: 7, p: 2, k: 1, s: 5, v: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -8413, -8093, -7773, -7453, -7133, -6813?\n\"Answer: 320*o - 8733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**3 - 6*g**2 - 921*g - 912.\nAnswer: 3*(g - 19)*(g + 1)*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -423*z - 33. Calculate the remainder when s(-1) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 213677 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**3\/8 - 11*i**2\/8 - 19*i\/8 - 9\/8 = 0. Calculate i.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1573 + 5194. List the prime factors of o.\nAnswer: 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5006 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p + 2 - 8. Let m = -5 + 9. Suppose 4*r + 0 + 16 = -4*z, m*z + 24 = 4*r. Solve r - p = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2  (b) -0.7  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -733900*k**6 - 287737*k**2 wrt k?\nAnswer: -88068000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*t + 126 = -47*t. Is t greater than 5\/694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*n**2 - 89*n**2 - 2 + 7*n + 22*n**2 - 67*n**3 + 20*n**2 + 22*n**2 to x*n**2 + r*n + o*n**3 + p and give o.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5645 - -11230. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -347*j = 2369 - 6209 - 3447 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -244 + 74 = t. Let p = t + 267. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ebfeyeebbfjfee. What is prob of sequence bbj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/4, 11, 4\/5, 2\/9, 1107, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 146 and 148 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1966.5 - -1966.3. What is the nearest to 1 in -1217, 1, 3\/5, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**4 + 458*l**3 + 25918*l**2 - 26378*l = 0. What is l?\nAnswer: -121, -109, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 j, 1 u, and 1 z when four letters picked without replacement from unzvpnj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 158533.71 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000331 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 + 2*a**2 + 2*a**2)*(-1 + 3*a + 1) + 3*a - 3*a + 7*a**3 - 2*a**3 + a**3 + 0*a**3.\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -196*d + 199*d - 57. Solve 110 = -3*a - d*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 53195*o**6 - 198117*o**2 wrt o.\nAnswer: 6383400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2928 - -3764. What is the remainder when z is divided by 192?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*-2 - 1*(-1260)\/165. What is the smallest value in c, 0.2, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -398 by -20.\nAnswer: 199\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 43*x**2 - 3*x - 3. Let u(b) = 43*b**2 - 4*b - 4. Determine 4*q(l) - 3*u(l).\nAnswer: 43*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 170 or -10126?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/30 - (-4)\/(-10). Solve 2 = 7*t - 4*t + 2*u, -4*t + 5*u + 41 = q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 24. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of -n**6\/80 - n**5\/20 - n**4\/16 - n**2 + 2. Let g(s) be the second derivative of z(s). Factor g(q).\nAnswer: -3*q*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1791 - -1889. Suppose -5*c + 3*c = 168. Let p = c + b. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = 4*t - 4*x, 0 = -5*t - 3*x + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*z - 8 = -a, -a - 10 = 5*z. Suppose -y + a = -3*h - 9, -5*y = h + 3. Is y != -3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.14?  (a) 0.5  (b) -4  (c) 3.4357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -1165*u**2 - 66405*u - 44. Give y(-57).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -57*q**2*w**3 - q**2*w**2 - 9*q**2*w + 6*q*w**3 - 9135*q wrt q.\nAnswer: -114*w**3 - 2*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 4*l + 10. Let q(z) = -9*z**2 - 3*z + 2. Let d be q(1). Let j be l\/20 + 6 + 55\/d. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -38*o + 59 + 17 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 a when three letters picked without replacement from {a: 3, i: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*z + 12 = -25*z. Find o, given that -8*o**3 + 26 + 7*o**z - 3*o**4 - 26 + 4*o**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.606695 hours in milliseconds?\nAnswer: 27384102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 396*r - 1 + 0*r**4 - 2*r**4 - 395*r - r**2 + r**3 in the form u*r**2 + z*r**3 + b*r**4 + f + j*r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 12*d + 40. Let f be r(-3). What is the remainder when 16 is divided by (-3)\/f + (-9)\/(252\/(-133))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1118979245 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ikmcjmoo. Give prob of sequence ki.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14\/4829 - -1376153\/38632. Let d = 36 - p. Let q = -3.7 + 4. What is the closest to 1 in q, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -97423 or -97462?\nAnswer: -97462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 6*m + 14. Let t be k(-6). Suppose -6 = r - t. Suppose 0 = -10*v + r*v + 16. Calculate the smallest common multiple of v and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4362365 divided by 791\nAnswer: -5515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5, 50, 157, 356, 677, 1150, 1805?\n\"Answer: 5*t**3 + t**2 + 7*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(-4*v**4 - v**3 - 2*v**4 + 3*v**4).\nAnswer: -6*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 + 1 + (-40 - -42). Let d(b) = 543*b - 2. Is d(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of i**7\/840 + 3*i**4\/4 - 15*i. Let h(r) be the third derivative of p(r). Let n(v) = 2*v. Give n(h(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -1 - m + 1\/2*m**2. Let x(t) be the third derivative of -t**4\/4 + t**3 + 4424*t**2. Give 11*b(f) + 2*x(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*s = -265*s - 2*s - 4101 - 1697 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7826.841cm to nanometers.\nAnswer: 78268410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -3\/1048 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 c when four letters picked without replacement from {g: 9, c: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 70593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.244 - 375.244. Let y = h - -377. Which is the biggest value?  (a) y  (b) 7  (c) -4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-4 + (sqrt(1377) - (sqrt(1377) + (3 + sqrt(1377))*3))))**2.\nAnswer: 11232*sqrt(17) + 200992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 63460612726345 less than 2?\nAnswer: -63460612726343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**5 - 16*a**4 - 12*a**3 + 56*a**2 - 32*a.\nAnswer: 4*a*(a - 4)*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10533210 and 294585?\nAnswer: 431861610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ya when two letters picked without replacement from bbmhybhabbab?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 10 + 35 = 4*l, -4*b = -2*l + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of w**4\/8 - 4*w**2 - 14*w. Let z(i) be the first derivative of k(i). Let h = -9 - -11. Determine z(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11836345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (36\/15 - 2)*-20. Let j be (-11 - c) + 3 + 0. Suppose -2*g + j*m + 26 = m, 3*m - 54 = -4*g. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -100878*p - 183363 wrt p?\nAnswer: -100878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - 4*w - w)*(12*w - 3*w + 2*w - 2).\nAnswer: -44*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 9 + 327*h**2 - 2*h + 3*h + 2*h + 4*h. Is s(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 2*y + 151 = -5*n - 71*n, -2*y - n = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 + 28. Suppose -4 = 4*y - g, f*g - 20 = 3*g. Suppose -n + 4 + 2 = y. What is the smallest common multiple of 10 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18)\/sqrt(2) + sqrt(9))*1 - (sqrt(81)*1 + sqrt(81) + sqrt(81)))\/(sqrt(27)\/(sqrt(9) + 1*sqrt(729))).\nAnswer: -70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/19?  (a) 0  (b) 571  (c) -2\/5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 222449 + -2.02828\nAnswer: 222446.97172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39.41451 decades to years.\nAnswer: 394.1451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4431.\nAnswer: 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/5)*h)**(-41)*(h**(2\/11)\/h)**(-3\/35) assuming h is positive.\nAnswer: h**(-12601\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 10*s - 193. Suppose 0*f + 3*f = 2*r - s, 0 = 3*r - 4*f - 33. Calculate the least common multiple of 37 and r.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 342*k**4 - 804?\nAnswer: 1368*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4151 + -54?\nAnswer: -4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 210 + 344?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-41)\/82)\/(2\/(-4)))\/((-4)\/48).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 53739 = 53944 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 PM and 8:30 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28513612 and 19396?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 minus -31371691?\nAnswer: 31371691.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37 - 19. Let i(v) be the third derivative of -v**6\/15 + v**5\/60 + v**4\/24 + v**2. Calculate the smallest common multiple of i(-1) and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 9*i - 7. Let x be b(-4). Suppose -2*j + 17 = x. Suppose -4*q - 2*s = -26, j*q - 35 = -3*q - 2*s. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1200655 (base 10) to base 9\nAnswer: 2228881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19 - -15. Is 20 a factor of (1 - -1)\/(t\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (26\/10)\/((-2)\/2*((-3213)\/51)\/315)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2760 by -3.\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 86 + -86. Suppose n*x - a - 138 = -x, 0 = -4*x - a + 542. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 420?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4297538 millimeters to centimeters.\nAnswer: 0.04297538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b - 5. Determine q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 2*g**2 - 18*g + 29. Calculate the remainder when 61 is divided by o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 8*b + 2. Let x be y(-1). Let o be x\/9*27\/(-6). Suppose -3*h + h + 5*l + 117 = 0, -o*l = -3*h + 153. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/3)\/v**5)**(-1\/3) assuming v is positive.\nAnswer: v**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 - 26*x**2 - 2*x + 23. Let q be p(-26). Suppose 0 = -l - s + 12, 3*s - 6*s = -l + 24. Calculate the highest common divisor of q and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 298 is divided by 133?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v - 2. Let u be s(-4). Let w = 4 + u. Suppose 0 = 2*r - 2*q - 4, 0*r - 2*q - w = -3*r. Solve 0 + 4 = r*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + 8*n - 3. Let p(y) = -y**2 - 7*y + 10. Let o be p(-9). Let s be d(o). What is the common denominator of 49\/18 and 55\/s - (-9 - -8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + t + 3*t + 2*t**2)*(12 + 3*t**2 - 12) + (-1 + t + 1)*(0*t**3 - t**3 + 3*t**3) - t**4 - 3*t**2 + 3*t**2.\nAnswer: 7*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1210339484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 6:49 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -3*a**3 + 3*a**2 + a + 2. Let k be c(-3). Let b(u) = 110 + 2*u**2 - k - 8*u - u**3 - 3*u**2. Is b(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.095 and -5\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63 + 60. Let v be ((-4)\/(-6))\/((-14)\/(-4779)). Let i = v + -227. Sort -0.5, x, i.\nAnswer: x, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2*z**3 + z + 4. Let j(o) = -4*o**3 + 3*o + 9. Suppose -2*v + 9 = 5*t - 10, 4*t = 3*v + 6. Give v*j(k) - 5*b(k).\nAnswer: 2*k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(162)\/(-3*sqrt(9)))\/(2*(sqrt(66)*1)\/sqrt(11)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*w - 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-122)\/4)\/((-2)\/4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 545839, 1091679, 1637519?\n\"Answer: 545840*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-4))\/((-2)\/(-4)). Suppose -p + 2*u - 3 = 0, -3*p - 29 = 2*p - 3*u. Let m = q - p. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 165, 48, 0.4, 2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 378530 <= 378529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (3 - 2) + (10 - 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.97 - 8.97. Which is the nearest to 0?  (a) j  (b) -2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*m - 8 - 8 = 0, -p + 26 = 4*m. Suppose p = 8*a - 2. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -p**8\/798 + 8*p**7\/1995 + 11*p**6\/1140 - 13*p**5\/570 - 4*p**4\/57 - 4*p**3\/57 + 8*p**2. Let f(y) = 0. What is y?\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -0*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/97 + -144\/2425. Let w be (-5 - -1)\/(2 - 1). Let h = -5 - w. Is h >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.315185935 rounded to 2 decimal places?\nAnswer: 5.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fxss when four letters picked without replacement from {f: 3, e: 4, s: 3, x: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 995285.\nAnswer: 5, 67, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16\/13*p**2 + 0 + 8\/13*p + 2\/13*p**4 + 10\/13*p**3.\nAnswer: 2*p*(p + 1)*(p + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3818775 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from vcvvffvvvvvvfccvcv?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39538659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) - -5*sqrt(44)\/sqrt(4)) + sqrt(11))**2 + 3.\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(5\/13)*v**(-3\/11))\/(v**9*v*v*v*v*v**(-2\/23)*v))**(-40) assuming v is positive.\nAnswer: v**(1815680\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pwxppuwxpuwwppppxwx. What is prob of picking 4 w?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 39*j**3 + 3*j**2 - j - 2. Let u be b(2). Let f = 7035\/22 - u. What is the common denominator of f and -33\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -12*s**3 + 29*s**2 + 61*s - 190. Calculate c(4).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -2*o. Let w(g) = -5 - 5*g**2 - 1 - 21*g - 48*g - 7*g + 3*g**2. Determine w(h(y)).\nAnswer: -8*y**2 + 152*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3603039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 6. Suppose -4*n = y*a - 68, 4*a + 6*n - n = 68. Suppose 3*h - k = a + 8, -2*h - k + 25 = 0. What is the remainder when 29 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33.25 + 33.251723. What is r rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b + 6*p - 4*p - 758, 0 = 2*b - 2*p - 502. Does 36 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*c + 67*c = 6*g + 126*c + 177, -4*g - c - 119 = 0 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 382101 - 86579. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.002 and -25649.55.\nAnswer: -25649.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -58613900 rounded to the nearest 100000?\nAnswer: -58600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 81155052499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 6622576372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wuwwwwwwwwwwwwwuwww. What is prob of sequence uwww?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*k + 18*k + 72 = 0. Suppose 2*q - 6 = -y + 4, 3*y = -3*q + k. Solve -4*x - y - 1 = -m, -4*m - 20 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165907283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1042 is divided by 343.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 7 + 2 = 1. Let k(v) = v**2 + 4*v + 1. Calculate k(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-1\/8)*n*n**(-5)\/n)\/(n**6\/n**(-4\/5)))\/((n*(n*n*(n\/n**1)\/n*n)\/n*n*n)**(-36)\/(((n\/(n\/(n*n*(n**5\/n)\/n)))\/n)\/(n**(1\/6)\/n))) assuming n is positive.\nAnswer: n**(16549\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -690985 - -5359036. Let g be 11840242\/5 + (-3)\/(-5) + 2. Let d = w - g. What is d rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fdffffffffddfffddff. What is prob of sequence ddff?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + 42*x**2 - 288*x - 5. Let s be u(-48). Which is the nearest to -2?  (a) -10  (b) -0.06  (c) 0.3  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - f - 5)*(735 + 23*f - 735)*(-4 + 10*f + 4) to the form m + u*f**2 + z*f + h*f**3 and give h.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24422\/63 - 2712\/7. Sort p, 5, -7, -1, 3 in increasing order.\nAnswer: -7, -1, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) -13  (c) 2\/9  (d) 3\/2  (e) -1358  (f) 1\/7  (g) -2\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = i - 17. Let m be (1340\/(-60))\/((-2)\/i). Let u = m + -5023\/15. Which is the second biggest value?  (a) 3\/8  (b) 0.3  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 times 0.009\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -5*k**3 + 115*k**2 - 110*k = 0.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.6 - -1.15. Let s = -0.543 - t. Round s to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-23 + 10) - 18 - (1 - 13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1466140 divided by -105.\nAnswer: -293228\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -77 + 81. What is p in -2\/9*p**3 + 2\/9*p**5 - 2\/9*p**2 + 0*p + 2\/9*p**j + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80 (base 10) to base 9.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*a**4 - 4977*a**3 + 77*a**2 + 65236785?\nAnswer: -16*a**3 - 14931*a**2 + 154*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 5, -3, -70 in ascending order.\nAnswer: -70, -6, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 2 b, and 1 t when four letters picked without replacement from bftbbbffbbffbbf.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 184 (base 9) to base 15.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + g**4 + 3 + (-12*g**3 + 13*g - 13*g)*(-4*g + 3 - 3) - 11*g - 107*g**4 - 103*g**4 + 214*g**4 as p*g**4 + t*g + a*g**2 + s + f*g**3 and give p.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -9, 18, 85, 216, 435, 766, 1233, 1860?\n\"Answer: 4*q**3 - 4*q**2 + 11*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-1*(sqrt(95)*2 + sqrt(95)) - sqrt(95) - sqrt(95))\/(2*sqrt(5)*-1).\nAnswer: 4 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4320 and 1803.\nAnswer: 2596320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 179039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -548*f + 1090*f - 548*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 1. Suppose w - 19 + 7 = -3*b, -b + w = -8. Let p(o) = o + 8. What is b*n(r) - p(r)?\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/8)\/(4*2\/24)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -778 + 778 - 2*c**3 - 28229*c.\nAnswer: -2*c**3 - 28229*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 - -844?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2939 - 2939.0000000003. What is h rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 141*c**5 - 10*c**3*u + 58307*c*u wrt c.\nAnswer: 2820*c**3 - 60*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*n + 4242 - 615 = 0 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 + (-352)\/(-8))*(1 - 0). Let h = x - 37. Solve 2 = l - p, 6*l - 3*p = l + h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from upuuuuuppuuuupupuu.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of g**8\/2240 - g**7\/720 - g**6\/360 + g**5\/15 - 19*g**2. Let t(p) be the third derivative of x(p). Factor t(n).\nAnswer: (n - 1)*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n**2 + 34*n. Let v(u) = -7254784*u. Determine v(r(d)).\nAnswer: 14509568*d**2 - 246662656*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/5*(371\/14 + 6). Suppose 4*f + n = 28, -6*n - b = -5*f - 5*n. Let x = 5 + 5. Solve 5*g = 2*t + x, -f*g - 5*t = -2*g - 41 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1392 + 868*u - 1395 + 4178 - 216*u - 1391.\nAnswer: 652*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1578906 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 701, 1401, 2101?\nAnswer: 2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2607766*r. Let c(t) = 3*t. Determine h(c(g)).\nAnswer: -7823298*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 297599 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -149*a - 2. Let k be c(-7). Let d = k - 190. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -14 + 397638?\nAnswer: 397624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3)\/(-15))\/(5\/25). Suppose -a = 2*g - 4*g + 46, -g - 5*a + r = 0. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 5*k. Let d(i) = -i. Let w(o) = -6*d(o) - 2*l(o). Let p(m) = -4*m**2. Give w(p(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 247, 5, -1 in descending order.\nAnswer: 247, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -529 + 582. Calculate the remainder when 15473 is divided by v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + 10*b**3 + b**4 + 3 + 6 to s*b + z*b**2 + d*b**3 + t*b**4 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n + 3 - 5 + 0 - n**3 + 4 - 3*n**2. What is b(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - l = 19, 7 = -4*f + 5*f - 3*l. Factor -2*p - f*p - p**2 + 0*p**2 + 4*p**2.\nAnswer: 3*p*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {k: 1, c: 3, f: 2, o: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.153 + 0.017. Let j = 0.67 - t. Which is the second smallest value?  (a) 4\/3  (b) 1\/8  (c) 2  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*p + 16 + 2*p - 5*p - p**3 to the form b*p**3 + u*p + y + a*p**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 6. What is the remainder when 47 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/14)\/((-24)\/42*1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-2)\/(g**(-5)*g)*(g**(-5)*g)\/g*g**(-2\/9)*((g**2*g)**(-5))**9 assuming g is positive.\nAnswer: g**(-1244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44*l**5 - 2*l**3 + 1222*l**2 + 100*l - 7869?\nAnswer: 880*l**3 - 12*l + 2444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 5*f**2 + 3*f + 4. Let l be c(4). Suppose -5*n + 4*x + 5 = 0, l = -5*n + 4*x - 2*x + 5. Differentiate -8*g + n - 4 - 4 + 1 wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 150528.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of -9*i**2 + 22*i + 18. List the prime factors of l(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-13 - (10 - 4)) + -14 + -9 + -1.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.424*-0.02.\nAnswer: -0.04848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.023?  (a) 1  (b) -2\/9  (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 769576302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l. Let n(g) = -g**2 + 9*g + 3. Let c be n(9). Suppose -8 - 1 = -3*b. Let x(r) = 3 - c - b*r - r. Give x(m(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*r + 3*u + 3, 4*u = 4. Let b(m) = m - 1. Let l be b(r). Let v = 7 - l. Let f(j) = 2*j**2 - 4*j - 1. What is f(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 1645278.\nAnswer: -1\/274213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/((-9)\/24) + 2)*417. Let p = u - -314. What is the greatest common divisor of p and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -7  (b) -2  (c) 0.5  (d) 0.02  (e) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.107 + 0.507. Suppose -b + 6*b - 15 = 0. What is the nearest to 0.1 in m, b, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - r = -24*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*o - 0. Suppose t + 1 = 3*s - 1, -4*t = -16. Suppose -2*r**2 + r**o + 0*r + 3*r**3 + r + 5*r**s = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-3\/16)*q)\/(((q**(-11)\/q)\/q)\/q))\/((q*(q\/q**4)\/q)\/q**(-7\/4)) assuming q is positive.\nAnswer: q**(257\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, a: 2}. What is prob of sequence yy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1\/1*((-16)\/(-4) - ((-16182)\/9)\/(-58))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2048568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 6 = -4*s, -4*s + 10 = -4*d - 14. Let n(c) = -c**2 - 10*c + 2. Let k(o) = o**2 + 9*o - 3. Let w(m) = d*n(m) - 4*k(m). Calculate w(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9533163 and -1860266.\nAnswer: -11393429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 148327\/65 - 2282. Let n = -1901 + 1901.1. Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 6. Let o = -16.7 + 17. Which is the closest to 1?  (a) -4  (b) o  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -256 + 259. Suppose 10*j - 9*j + 5 = v*t, 4*t = -3*j + 24. Let p = 10 + -7. Solve p*h - d + t + 7 = 0, -h - 14 = 5*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 AM and 2:53 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*x + 38 - 83 - 495 = 0 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -410825.4 + 410752.40306. Let l = -172 + 245. Let k = l + q. What is k rounded to four decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 355 - -7446?\nAnswer: 10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -48603*s**3 - 12*s**2 - 26836143.\nAnswer: -145809*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -142048 divided by 8?\nAnswer: -17756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1523212 (base 7) to base 12.\nAnswer: a019a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 83*s + 81*s = -118, -3*y + 172 = 2*s. What is the remainder when 351 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -9 - j - 10 + 17. Let l(s) = -s**3 + 6*s**2 + 5*s + 11. Let f be l(7). Calculate u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 558\/114 + -5 - 8\/(-76). Let r = 1 - 0. Sort w, -4, r.\nAnswer: -4, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -202012 + -11202010?\nAnswer: -12111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4492 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: Suppose 219*p - 220*p - 4*j + 1626 = 0, 5*p + 5*j - 8250 = 0. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24976 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*n - 2*q = 5*n, 4 = 2*n - 2*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-2))\/((-74)\/13246000). What is j rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(22)*5)\/(sqrt(77)\/sqrt(567)).\nAnswer: -135*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33439393?\nAnswer: 13, 2572261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3377 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -15. Let p(v) = 14*v**2 - v - 2. Let r be p(o). What is the greatest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 39028010 - -12?\nAnswer: 39028022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 74684.26ug?\nAnswer: 0.00007468426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i - 252 = 848. Let f be (-4)\/(-6) + -1 + i\/(-6). Solve -5*r + 0*r + 24 = -2*p, -5*r + f = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**3 + 25403662*b - 25403662*b - 2*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -10  (b) 9  (c) -0.04  (d) 3\/7  (e) -2  (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 + 173*m**2 - 336*m + 2342. Give k(-175).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 109649 and 2218877?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -59796, -59795, -59794, -59793?\nAnswer: -59792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -276019*s**3 + 138015*s**3 + 138012*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1812 by 3.\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n**2 + 5*n**2 + 2*n**2)*(-2*n + n + 2*n) - 8*n**3 + n**3 - 3*n**3 + (n + 1 - 1)*(-2 + 2 - n**2).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a*a*a**(-1\/2))\/a)**(-4\/7)*a**0*a**(2\/17)\/a)**(-4\/9) assuming a is positive.\nAnswer: a**(92\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j + 4*d - 8, j + 3*d + 1 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7707, -7613, -7457, -7239, -6959, -6617?\nAnswer: -6213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -s**2*y**2 - 6*s**2 - s*y**3 - 4*s*y**2 + 4*y wrt y?\nAnswer: -2*s**2 - 6*s*y - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 3*i = i - 222, 4*z + 3*i = 177. Suppose 228 = 39*c - c. Factor -686\/9*v**3 - z*v + c + 98*v**2.\nAnswer: -2*(7*v - 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4292\/145 - 29)*(-1455)\/9.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265 = -9*i + 346 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y + 4*y + 37 = -5*p + 2, 172*p = 4*y - 268*p + 2080 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -934530, -1869050, -2803564, -3738072, -4672574, -5607070?\nAnswer: -6541560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 3:38 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-12)*0*(-3)\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 4*g = 0, 2*v - 198*g + 206*g - 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.54892 rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0788 - -0.1212. Which is the closest to -1?  (a) 24  (b) -0.4  (c) x  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 904476032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/2)*q)\/q**2)\/(q**1)**(-49) assuming q is positive.\nAnswer: q**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 106 + 19*c - 14*c - 9*c + 0 - 11. Let o(s) = -2*s. Determine o(y(v)).\nAnswer: 8*v - 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3268 + -8915. Let h = 5645.9996 + x. Let v = -1 - h. What is v rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*z**3 + z**3 + z**3 + (1 - 1 + 4)*(-11*z**3 - 48*z**3 + 13*z**3) to the form w*z**2 + f*z + s*z**3 + j and give s.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/q**(-1\/5)*q**(3\/4)*(q*(q**(1\/7)*q*q)\/q*q)\/q**0 assuming q is positive.\nAnswer: q**(713\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/363*(44\/(-48))\/(-1).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 7*o**2 - 6*o + 6. Let g be u(-6). Suppose -g = -2*w - 26. Calculate the common denominator of 37\/10 and ((-22)\/(-15))\/(8\/w).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 928 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 + 13*h**2 - 16*h + 10. What is a(12)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -64\/7*q**2 - 1 - 8*q - 80\/21*q**3 - 1\/70*q**5 - 17\/42*q**4. Determine w so that k(w) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -54 and -1038.\nAnswer: 56052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 46 - 43 = 0. Is 1 + 108\/f*938\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 1, -4, -0.173?\nAnswer: -0.173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 9*k + 65 = 4*k, -5*k - 29 = -3*n. Suppose 5 = 66*f - 67*f + 4*d, -4*f - 3*d + n = 0. Let j(g) = g - 7. Determine j(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1618 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -51*a + 28924 - 28669 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37453094?\nAnswer: 2, 7, 29, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 4*q**2 - 3*q - 7. Let d be l(-2). Suppose -3*w = -0 - d, g - w = 79. Let s = g - -52. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8.259 - 8.3. Let f = -0.029 - d. What is f rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/1170816 and -3\/320.\nAnswer: 5854080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2101 divided by 4696\nAnswer: 2101\/4696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -9*(-6)\/36 - 17\/(-2). Sort -2, f, -3 in descending order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2925 greater than or equal to -2925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 23?  (a) -22  (b) 1\/8  (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/6, 3, 4, 1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + 7 + 0 - 1. Suppose -4*w + 4 = -2*w, 5*u - 126 = -3*w. What is the second derivative of -24*p**3 + 2*p + 2*p**z + u*p**3 wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 299349.\nAnswer: 1197396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -75*j**2 - 3893*j + 385. Calculate w(-52).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -20*n + 5. Suppose 3*q - 26 = -2. Let b(i) = 13*i - 3. What is q*b(a) + 5*c(a)?\nAnswer: 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*w - 19*w - 13*w)*(0*w + 4*w - 2*w) + (-3*w - 2*w - 2*w)*(-2*w - 2*w + 2*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -106.9 - -106.904. Which is the smallest value?  (a) 0.4  (b) -0.04  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -908*u - 2. Calculate f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 2*y - s + 3 = 0, 4*s = 2*y + 16. Suppose 2*v - 8 = -y*v. Solve -v*n = -2*b + 10, -4*b + 23 - 3 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 12, 5, -18, -63?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 196*g + 125*g = 5778 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 303\/10, -3, -0.4 in descending order.\nAnswer: 303\/10, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 4*z**2 - 4*z**2 + 1 - z**2. Let f be j(-2). Is -1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-161)\/(-6) + 60 + -65 and 187\/300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/sqrt(432) + sqrt(160)*-4)\/((-1*sqrt(4)\/sqrt(2) + 3*2*sqrt(2))*-4).\nAnswer: 19*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -4*y**2 - 34*y - 22. Give o(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 119432 by 68.\nAnswer: 29858\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 22845 + -516?\nAnswer: 22329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -6*b**3 + 2*b**2 + 5*b + 5. Let u be 34\/(-10) - (-12)\/30. What is the remainder when c(u) is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3558032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 + -0.3. Let y(c) = c**2 - 9*c + 25. Let a be y(5). Let s = -81.2 - -80.9. Sort a, 0, s, j in ascending order.\nAnswer: s, j, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 174017312?\nAnswer: 2, 7, 47, 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*b - 3426 = 17220 for b.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1048*b**3*f**5 + b**3*f**3 + 7*b**3*f**2 - 606*b**3 wrt f?\nAnswer: -62880*b**3*f**2 + 6*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32841209366.738 + -0.13.\nAnswer: 32841209366.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4*d = -3958, 35*d - 30*d + 9920 = 5*r. What are the prime factors of r?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2057784098 and 1402?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 4*m + 54 = 0, 5*m - 33 = -4*d + 60. Suppose 5*w - d - 7 = -3*s, 0 = -2*w. What is the tens digit of 908\/10 + s\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42 and 903?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/46 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 11) + 1 + 2. Let u(x) = x**3 + 5*x**2 - 5*x + 7. Let y be u(n). Which is greater: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5094123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of -2*x**5\/85 + 3*x**4\/17 - 6*x**3\/17 - 4*x**2\/17 + 24*x\/17 - 20. Suppose k(b) = 0. What is b?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 363\/4 - (8\/(-18) + (-224)\/(-1152)). Solve 48 = -q*n + 99*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1012*l**4 - 1306*l.\nAnswer: 12144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122*z**3 + 123*z**3 - 216*z**3.\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/8 + ((-1974)\/24 - 5). Let v = o - -114. Suppose -22*r = -v*r + 312. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -779280, -1558694, -2338122, -3117570, -3897044?\nAnswer: -4676550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1489949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 7*d - 2 - 11*d + 7*d to the form o + c*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -0.4  (c) -2\/19  (d) 2\/5  (e) -1100\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s**3 - 4*s**2 - 3. Let b be z(-3). Suppose k - b = -2*k. What is the second derivative of l - 2*l**4 - 5*l**3 + k*l**3 wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 210 and 28?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 7*x = 5*x, 3*b - x = 0. Solve r - 4*k - 15 = -4*r, b = -2*r - 5*k - 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of 0*z**4 + 0*z**3 + 0*z - 2*z**2 + 1\/5*z**5 - 4. What is the second derivative of x(f) wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -417 or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbt when three letters picked without replacement from {y: 1, b: 1, t: 1, d: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 62, -6 in descending order.\nAnswer: 62, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -60362 - -25622?\nAnswer: -33640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 1980?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (1*-2*sqrt(77) + -2*sqrt(77)*-5)\/(-3*sqrt(49)\/(sqrt(63)\/sqrt(144) + sqrt(7)))*4.\nAnswer: -40*sqrt(11)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 2*b**2 - 8*b - 2. Let s be m(6). Let i = 19 - s. Is i + (24*4 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111010011 + -11?\nAnswer: -1111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -o**2 - 1. Let t(l) be the third derivative of -l**5\/60 - 7*l**2. Give v(t(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -287*h - 172. Let p(c) = 96*c + 59. Let j(r) = -4*b(r) - 11*p(r). Differentiate j(n) wrt n.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -51.1196 - -0.1196. Put 0.1, -4\/3, 5, q in decreasing order.\nAnswer: 5, 0.1, -4\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - 43)\/(3 - 2). Let m be (0 + 37)*(17 + -15). Let y = m + w. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 6*d**2 + d - 4. Let q = -188 + 194. Let s be t(q). Solve z + 13 = -4*f, -2*z = -0*z + s*f + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -366 - 187 = 145*l + 1477 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (4 - 4) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 46901 divided by -1?\nAnswer: -46901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 2*o - 42 + 10, 2*x = 4*o - 52. Let n = -8 + o. Let u(q) = q**3 - 3*q**2 - 5*q + 6. Let j be u(n). Solve j = 3*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13869, -13819, -13719, -13569, -13369?\nAnswer: -13119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 2*b = -3*b + 3, -3*s = -b - 9. Let x be (-5)\/(30\/(-8))*s. Suppose -x*h + 24 = -0*h. Solve 4*i = 2*i + h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-875)\/6930 + (6 - 350\/60))\/(6\/(-27)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 4*k + 9. Let c be l(4). Let z = -228 + 94. Let q = -53 - z. Calculate the greatest common divisor of q and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/272542446 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 33501160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d**3*i + 6*d**3 - 116*d**2 - 5283*d*i**2 + 5*d + 2*i**2 + 1 with respect to i.\nAnswer: -d**3 - 10566*d*i + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -95 and -438?\nAnswer: 41610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 21ab + -238?\nAnswer: 1f73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 109246284 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 39*o**3 + 27*o. Let q(n) = 3*n**3 + 2*n. Suppose -22 = -f + 4*p, -4*p = 14 + 6. Give f*i(h) - 27*q(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 10*x**2 + x - 12. Calculate l(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {v: 2, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of 107*l**8\/336 - 23*l**4\/8 - 46*l**2 - 2. What is the second derivative of r(b) wrt b?\nAnswer: 2140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22 - -26. Let t = -23 - -203\/9. Which is the third biggest value?  (a) t  (b) o  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 7*x + 4*g = 5, 0 = g + 1. Let q(j) = -3*j**2 - j**3 - 7 - 14 + 23. Let f be q(x). What is the greatest common divisor of 10 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j + 1. Let q(h) = 7*h - h**2 - 20 + 11*h - 36*h + 15*h. Let m(o) = -18*l(o) - 2*q(o). Let m(i) = 0. Calculate i.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -58 or -204399?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 120604 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: Suppose 5*d - 5 = -25. Is (-2)\/d + 342\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 987042527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 10000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -141*s**2 + 139*s**2 + 47 + 47 + 26*s + 5. Let q be l(16). Solve 4*c + 26 = -3*k, -2 = c + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 97  (b) 82  (c) 559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 4605490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*v - 20*v = 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 12:54 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 + -507746.\nAnswer: -507707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-4\/9)\/y)\/y)**(-46)*y**(1\/2)\/(y**(2\/9)*y*y) assuming y is positive.\nAnswer: y**(1993\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -191 = 4*h - 73*m, 2*m - 209878 = 4*h - 209900 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -101\/6 in -5, -0.2, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3342128 by -178.\nAnswer: -18776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*y - y. Suppose -l - 9 = -4*h + 3*h, -5*l - 45 = y*h. Let z be (-2)\/(-3) + 6\/l. Which is bigger: z or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lw when two letters picked without replacement from wlwlwww?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is dc + 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1230 = -11*l + 988. Let f be ((-4)\/6)\/((-10)\/3). Put f, -4, l in descending order.\nAnswer: f, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -8266*n. Let r(a) = a**2. Determine l(r(q)).\nAnswer: -8266*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*a**2 - 2*a**2 - 26*a**2 - 10*a**2 - 9*a**2.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 321 + 67. Let c = -217 + m. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 54 - 48 = 0. Suppose 1\/5 + 0*p**2 - 2\/5*p**a + 2\/5*p - 1\/5*p**4 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m + i - 8 = 2*m, -29 = -3*m + 5*i. Let c = -4 + 6. Let f(n) = -4*n**c + 4*n + 3*n**2 - n**2. Calculate f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -278513535*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -26*q + 6. Let v = 9 + -12. Let a be m(v). Let d = -18 + 30. What is the highest common factor of d and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (78\/(-12))\/1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -352\/75 + 134\/25. What is the closest to -2\/7 in n, 0.07, 0.01, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11286 and 88274.\nAnswer: 26217378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + ((-15)\/(-1) - 35\/((-1610)\/(-506))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 2. Let d(z) = -2*z**3 - 12*z**2 + 32*z + 194. Let v be d(-6). Sort -1, n, v, -4.\nAnswer: -4, -1, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 81 or 80?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 9}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -111\/857752 and 29\/245072.\nAnswer: 1715504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 2*n = -0 - 14, 2*f - n = 2. Let d(z) = -1 + 5*z + f*z - 6*z + 14*z**2. Is 6 a factor of d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - -29) + -28 - (-3 + -3 - -19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 7*u - 7. Give o(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 4)*(-5*v - v + 3*v + 3*v - 2*v + v + (4 - 3 - 3)*(3*v + 3*v - 4*v) - 5*v + 2*v + 4*v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -603*s - 2916*s - 59*s - 1281*s to f*s + i and give f.\nAnswer: -4859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3*s + 12. Let w(b) = 17*b**2. What is w(n(q))?\nAnswer: 153*q**2 + 1224*q + 2448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 5*c**2 - 2. Let h(g) = 33*g**2 - 5*g + 9. Let x be h(3). Let y(z) = -x*z - 2*z**2 + 291*z. Determine a(y(j)).\nAnswer: 20*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**4 + 3*r**4 - r**4 + 4*r**4 - r**4 - 5*r**4 + (2*r**3 - 3*r**3 + 0*r**3)*(5 - 1 - 2)*(-2*r - 89 + 4*r + 102).\nAnswer: -4*r**4 - 26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, v: 10, r: 6}. What is prob of picking 1 u and 2 v?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 89\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -96 - -91. Which is the closest to 3?  (a) h  (b) -0.2  (c) 0.5  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 436 divided by -2741\nAnswer: -436\/2741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 31 + -19 - (-7 + 0)) + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((-2 + sqrt(192))*3*1 + -4))**2.\nAnswer: -17280*sqrt(3) + 65808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + -3693008.\nAnswer: -3693012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -3*f + 6 - 1 - f + 2*f + 4*f. Let b(t) = -t - 2. Let i(k) = -k**3 - 6*k**2 - 6*k - 2. Let h be i(-5). Determine h*z(x) + 8*b(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3997718858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**(-4\/3)\/v*v))\/v**(-3)*v**(1\/5)\/v*v**5 assuming v is positive.\nAnswer: v**(128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 151*d**2 - 15*d - 42. Calculate f(-2).\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/6  (b) -5  (c) 3\/5  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 268*a**3*y + 191*a**3 + a**2*y + 8*a**2 + 32496*a*y + 18*a wrt a?\nAnswer: 1608*a*y + 1146*a + 2*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -18  (b) 3\/4  (c) 4  (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 - 3*o - 5. Let l be x(5). Suppose 3*n = 5*q + 29, l*n + 2*q = 3 + 4. Suppose 1250 = n*v - 5*h, 0*h = 3*h + 3. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 550487 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/11 - 2060250*j\/11 - 2060252\/11.\nAnswer: 2*(j - 1030126)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/99 and -4\/11363?\nAnswer: 102267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 968 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a - 11*a + 5*a - a - 3*a + 2*a + (2 + 5 - 5)*(-a + 4*a - 4*a) - 4*a + 3 - 3 - a - 2 + 2.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + (-7 - -3))\/((-4)\/(-2) + (-1584)\/484)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(475))**2 + (5*sqrt(38)\/sqrt(2) - sqrt(19)).\nAnswer: 14*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 + x**2 - 3. Let p(l) = -13*l**3 + 11*l**2 - l - 88. Give 10*j(y) - p(y).\nAnswer: 3*y**3 - y**2 + y + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of 1\/2*u**2 + u**3 + 1\/12*u**4 - 3*u + 7. Let h(p) be the first derivative of z(p). Give h(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + 34500055?\nAnswer: 34500053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -71 - (-697 - -735)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 1\/2, -57, -3, 0.9, -300, 0.4, 4\/7?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4231 or -4232?\nAnswer: -4232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 550792942?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1049.3 - -2.3. Let n = x - -1047.00000793. What is n rounded to 7 decimal places?\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, i: 1, n: 1}. What is prob of sequence niii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 24 * 0.0873163\nAnswer: 2.0955912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -105 - 3*m**2 - 401*m + 401*m + 4*m**2.\nAnswer: m**2 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -24606 - -3?\nAnswer: -24603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z**(3\/16)\/z*z*z))\/((z\/(z\/(z**(-12\/17)\/z*z)))\/z) assuming z is positive.\nAnswer: z**(685\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zcw when three letters picked without replacement from {b: 2, f: 4, z: 1, c: 2, w: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 90 = 2*b, -5*k = 3*b - 8*b - 90. Calculate the least common multiple of k and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2545, -2402, -7349, -12296?\nAnswer: -17243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 6. Suppose 2*r - f*r + 18 = 0. Let m(z) = 4*z**2 - 4*z - 4. Let b(d) = -d**2 + 1. Let h(a) = r*b(a) + m(a). Let n(u) = u. Determine -h(q) - 3*n(q).\nAnswer: 2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -17 + (18 - 13)\/(-2 + 1). Put -3, q, 0 in decreasing order.\nAnswer: 0, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 340463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - 3\/(-2))*-2. Let z(s) = 5*s**2 - 2*s - 3. Let i(m) = 13*m**2 - 6*m - 9. Let c(b) = -3*i(b) + 8*z(b). Determine c(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 273*v**2 - 113*v**2 - 132*v**2 + (0 + 0 - 3)*(-4*v**2 + 2*v**2 + v**2).\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 8 - 7. Let h be (-3 - z\/(-3))*12. Let i be 3*(-4)\/(h\/10). Solve i*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 - 8*z + 1. Let x be (8 + 1)*(-6)\/9. Let f(w) = 6*w**2 - 23*w + 3. Determine x*f(p) + 17*o(p).\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000058748301 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(3 - (3 - -1)). Differentiate 9 - 3*z**4 - 3*z**4 + 0 + 10*z**g with respect to z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3294, -4715, -7084, -10401, -14666?\nAnswer: -19879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 104*a**3 + 7*a**2 - 651*a + 9. Let t(y) = -209*y**3 - 12*y**2 + 1300*y - 15. Let f(n) = 5*l(n) + 3*t(n). Find the second derivative of f(o) wrt o.\nAnswer: -642*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-21))**45*c**18\/(c*c\/(c*c**(4\/3))*c*c) assuming c is positive.\nAnswer: c**(-2651\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3*q**3 + 10*q**2 - 19*q + 8. Let n(j) = -16*j**3 + 49*j**2 - 94*j + 39. Let s(d) = 22*b(d) - 4*n(d). Determine t, given that s(t) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bggooogbzoyz. Give prob of picking 1 o and 1 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88*j + 13225*j**3 - 3947*j**3 + 100*j.\nAnswer: 9278*j**3 + 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**1)**16\/(m**(-2\/9)\/(m\/(m*m*m*(m*m*m**(-3\/5)*m)\/m*m*m))))\/((m*m**(-3)*m*m**(-3))\/(m**(-5)\/(m*m\/m**6*m))) assuming m is positive.\nAnswer: m**(577\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 - 25*y + 100. What is the remainder when 47 is divided by a(21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from bmmmbmbmmmm?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 12*r**2. Is n(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 4*j - 6. Let z(u) = u + 1. Let n(w) = w**3 + w**2 - 2*w - 1. Let f be ((-20)\/(-15))\/(2\/(-3)). Let g be n(f). Determine g*a(s) - 6*z(s).\nAnswer: s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 69416.18 decades?\nAnswer: 8329941.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 - 5*b**2 + 24*b - 108. What is d(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1  (b) 2\/57  (c) -4  (d) -3  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 228 less than or equal to 228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7)\/(14\/12) + 3. Let m be 0\/((-3)\/x) + 4. Solve 0 = 5*h + m*o - 14, 6*o - 3*o + 1 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 8:52 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 10) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j\/(j*j\/(j\/(j*(j*j\/j**1*j)\/j)))))**(-44)\/((j*j\/((j**(-2\/3)\/j)\/j))\/(j\/j**4)))\/(j**0\/(j\/j**(-3\/5)*j))**(-6\/7) assuming j is positive.\nAnswer: j**(-19519\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 6, x - 836 - 1712 = 3*r. Is x a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8325.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -56 - -328?\nAnswer: 2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h**5 - 15*h**4 + 63*h**3 - 49*h**2 = 0. What is h?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-196)\/26 - ((-90)\/(-65))\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 4*a - 29700003 = -3*r, 0 = -5*r + 5. Suppose -4*w = -w - a. Round w to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 17*w - 1. Let y be t(-5). Let z be (-88)\/(-12)*39 - -1. Let m = y + z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -9*n + 1. Is d(-22) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y - 9*y + o = -2723, -665 = y - 5*o. Let q = -43 - y. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/4175586 and -52\/1611.\nAnswer: 747429894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 62 = 4. Suppose 32*w = g*w + 21. Calculate the remainder when 18 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 AM and 12:37 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 50497 from -8.97.\nAnswer: -50505.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q - 6. Let w = -6 - -12. Let o be j(w). Suppose -28 = -4*g - o*g. Calculate the remainder when 25 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -1258*c + 18853. Give h(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24*((-91)\/(-63))\/13*(-54)\/(-40).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-34)\/(-9) + (-2)\/(-9). Let q = 15 - 29. Let g(u) = -u**2 - 14*u + 2. Let c be g(q). Solve c*j = 2 - 6, a*j = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/4, 3, -0.06, -1, -4\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7230 by -83.\nAnswer: -7230\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 5 = -l - 4*c, 0 = -4*l + 2*c + 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51 + 17 + 22 + 12 - 277*r.\nAnswer: -277*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 216 + -215. Sort g, 5, 3, -91.\nAnswer: -91, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -526870.006 rounded to the nearest ten?\nAnswer: -526870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 141*a**2 - 78*a + 10997. Calculate p(141).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -3*q. Let c be 2\/(-7) - 2\/(-7). Let u be (-1)\/3 + (c - q). Is u less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of -61*z**6\/12 - z**5\/20 + 7*z**4\/24 + z**2 - 150*z. What is the third derivative of f(v) wrt v?\nAnswer: -3660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2160*k - 60 = -2165*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/4)\/(1\/2). Let n be ((-27)\/(-4))\/((-1)\/(-4)). Suppose 4*o = -x*v + n, 3*v - 8*v + 53 = 4*o. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**3 - 34380*r**2 - 68766*r - 34384 = 0. Calculate r.\nAnswer: -1, 17192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 3 = -6. Let b be 50*(-267 + (-2 - j)). Round b to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = w - 6 + 9, 3*r - 5*w = 31 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7255593 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2*l - 260 = -2*z, -3*z + 380 = 4*l. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -49133*d**3 + 51*d**2 - 43*d - 1.\nAnswer: -294798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of -g**6\/60 + g**5\/12 - g**4\/6 - 3*g**3\/2 + 21*g**2. What is the units digit of r(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 426*x + 52947 - 152 = 1442*x - 28485 for x.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3148795141 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294\/8 - (-5)\/20 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 2*k - 324. Suppose 0 = -4*h - 3*t + 122, -4*t - k = 2*h - 6*h. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8421.202 - 8419. What is h rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 13, x: 5}. What is prob of picking 4 x?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5342 and 4771885734?\nAnswer: 5342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9268 is divided by 1028?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6\/5, -56, 2\/3 in descending order.\nAnswer: 2\/3, 0, -6\/5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -48*t + 23*t + 12*t + t**2 + 15*t. Let z(n) = -2*n**2 - n. Give 2*g(l) + 3*z(l).\nAnswer: -4*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.236 + -0.136. Is l at least as big as 0.046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 2*y = -9*n + 10, -5*n + 5*y = 0. Let v(q) be the first derivative of -1 - q - 1\/5*q**n - 2*q**3 + 2*q**2 + q**4. Factor v(h).\nAnswer: -(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-12) - 133\/4. Let n = 131\/4 + t. Let w = -2\/27 + 49\/297. What is the second biggest value in w, n, 2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1211111200220 (base 3) to base 13.\nAnswer: 281700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.61 * 25.329\nAnswer: 15.45069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 22*t**2\/7 + 706724*t\/7 - 128496\/7.\nAnswer: 2*(t + 32124)*(11*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19)\/76*-11*32\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 147*k**5 + 8*k - 8 wrt k.\nAnswer: 2940*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, x: 3, i: 1, f: 2}. What is prob of sequence ixux?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + -1221110222?\nAnswer: -1221110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4060 and 1540.\nAnswer: 44660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 - 7*g + 3. Let q be u(9). Let p = 22 + q. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 140 and 1004?\nAnswer: 35140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j**3 - 2*j**3 - 3*j**3 + (-2*j - 3*j - 2*j)*(-2*j + 2*j + 2*j**2))*(2*j + 0*j + 4*j).\nAnswer: -78*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 957528768 a multiple of 1656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -308*w = 161*w + 51*w. Which is the closest to w?  (a) 0.4  (b) 1\/5  (c) -0.04  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(0 + (sqrt(847) - (-4 + sqrt(847) + 1 + sqrt(847)) - sqrt(847))) - (2 + (-3 + (sqrt(700) - (sqrt(700) - (sqrt(700) - -1*sqrt(700)))) + 3)**2).\nAnswer: -2811 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 divided by -280233.\nAnswer: 29\/280233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 divided by 149.\nAnswer: 18\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(3))*4 - (sqrt(24)\/sqrt(2))**2)*6.\nAnswer: -96 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 498003 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 313123432 (base 5) to base 9.\nAnswer: 2403580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 14*h - 21. Let c(a) = 11*a - 21. Determine 6*c(w) - 5*g(w).\nAnswer: -4*w - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from djdddjgdj.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.6 - 38.6. Let h = o + 34.1. Which is the biggest value?  (a) -5  (b) -3  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - -3 - 3) + 0. Let y be k*(-1 - 12\/(-8)). Let b(l) = -l + 9. Is b(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 8, 2*i + 3*l + 6 = 24. Let n be ((-2)\/i)\/((8\/8)\/(-6)). Solve -12 - 117*d + 193*d**n - 52*d**3 + 4*d**4 + 48 - 39*d = 0 for d.\nAnswer: 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 217 + -146. Suppose 64 - 10 = 3*c. Calculate the remainder when r is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 195 - -1705. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + -91. Let s be (24\/16)\/(3\/8) - 147\/(-2). Let o = r + s. Which is the closest to 0.3?  (a) o  (b) -5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14210\/11 - -1294. Find the common denominator of z and (-22)\/8 - (0 - 2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18 in 2, -3\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33698964 a multiple of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 164192147 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**3 + 2*l**2 + 12*l + 6. Let y be 3*1*15\/9. Let i(n) = n**3 + 3*n**2 + 12*n + 5. Let m(f) = y*c(f) - 6*i(f). Factor m(j).\nAnswer: 4*j*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/2 - 241*k + 41775\/2.\nAnswer: -(k - 75)*(k + 557)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 64  (b) -0.2  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of 143*q**4\/24 + q**3\/3 + 11*q**2. Let i be v(6). What is i rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-120)\/96)\/(5\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -112 + 111.99738. What is d rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + (-5)\/(-1) + -2. Let t(w) = w**2 + 2*w - 2. What are the prime factors of t(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - 443643?\nAnswer: -443650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/18)\/(24\/(-36))*((-310284)\/(-17))\/(-78)?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z**3 + 8*z + 1 + z**3 - 8*z**2 - 5*z**3. Let r(x) = x**3 + 2*x**2 - x - 3. Let h be r(-3). What is the remainder when 28 is divided by o(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 45*h**2 + 3*h + 3. Let m(p) = -184*p**2 - 13*p - 13. Let j(l) = 13*g(l) + 3*m(l). Let z(c) = -35*c. Calculate z(j(n)).\nAnswer: -1155*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6137.268 days to seconds.\nAnswer: 530259955.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:13 PM and 5:28 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 13*f + 108. Let g be a(-8). Solve -8*i + 4*i + g = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 5*l + 10 - 5, 2*l + 17 = 5*c. Let t = -4 - -4. Suppose -c*h - 9 = 1, t = 4*s + 5*h - 22. Calculate the smallest common multiple of s and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (15\/57)\/(3320\/332)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -881622*a**2*h*q + a**2*h - 19614*a*h - 2*q - 17 wrt a?\nAnswer: -1763244*h*q + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*n + 6*j - j, -4*n = -2*j - 2. Suppose 3*y - 256 - 227 = n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 1566*m + 274032. Calculate w(-175).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 69102 by -11517.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -1, -0.178 in decreasing order.\nAnswer: 2\/5, -0.178, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/3092 and (-7)\/18 + (-610)\/(-90) + -7.\nAnswer: 27828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/15  (b) -2\/11  (c) -20.613  (d) 2\/9  (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 4*b + 9*b - 5250 = 0, 5*w - 4*b = 5232. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of 8*i**2 - 108*i + 0 + 10\/3*i**3 - 1\/2*i**4. What is c in b(c) = 0?\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 53*n**2 - 46*n**2 - 89*n**2 - 2*n - 78*n**2 to t*n + x*n**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1069820857?\nAnswer: 7, 97, 1575583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/33 and 67\/32615364.\nAnswer: 358769004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 100\/(-60) + (-5)\/(-1))*2685\/(-358)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*m + 47*m - 1360 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4100.241 years to months.\nAnswer: 49202.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 6*g**2 - 11*g - 10. Suppose 25 + 41 = 11*a. What is the hundreds digit of u(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 879, 3520, 7941, 14160, 22195, 32064?\n\"Answer: 3*f**3 + 872*f**2 + 4*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.063489 centuries in years?\nAnswer: 306.3489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1580 - -1583. Which is the biggest value?  (a) -10\/13  (b) q  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.007 and 0.2.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(99)*-4)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(((v*v**(1\/4))\/v*v)\/v)*v**4*v)**(1\/46) assuming v is positive.\nAnswer: v**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 11*g**2 + 3*g - 35. Let r be j(11). Is 13 a factor of (-4 - 70\/(-25))\/(r\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 + 14 - -55 - -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1254 and 6930.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**8\/(w\/(w**6\/w)))**37*w\/(w**(-2\/9)*w)*((((((w**(-4)*w)\/w)\/w*w)\/w)\/w)\/w)\/w*w\/(w*w**(-2\/15))*w**1 assuming w is positive.\nAnswer: w**(19681\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88 - 52 + 1014*v - 36.\nAnswer: 1014*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1046.1 plus -0.5?\nAnswer: 1045.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 58980481 and 13916.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4452 by 1.\nAnswer: -4452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -12*m + 18 + 295 + 37. Let z be h(29). Solve z*q - 3*q + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 520\/(-16)*((-6)\/(-9))\/((-65)\/(-39))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36\/19 + -70\/57. Let t(m) be the second derivative of -1\/4*m**4 - 4*m - 5\/2*m**2 + q*m**3 + 0 - 1\/20*m**5. Calculate t(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -0.1, 0.18, 1, 25.\nAnswer: -0.1, 0.18, 0.5, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n**3*r**4 + 3981*n**3*r**2 - 7*n**2*r**2 + 2*n - 34045*r**3 - 2*r wrt r?\nAnswer: -48*n**3*r - 204270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7\/4, -4, -9, 64381?\nAnswer: 64381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 141*g**2 + 18*g**5 + 49*g**5 - 4*g**5 - 4106*g - 61*g**2 - 65*g**2 wrt g?\nAnswer: 1260*g**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -2 + sqrt(1539) + -1 + sqrt(1539) + (sqrt(1539) - (1 + sqrt(1539)*1)) + sqrt(1539) - ((-5*sqrt(1539)*2 - sqrt(1539) - 2*2*sqrt(1539)) + -3))**2.\nAnswer: 972*sqrt(19) + 498645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -12 - (-32 + 5 + 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((15\/(-70))\/(45\/(-7)))\/((-6)\/10)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -5*p - 100, t - 31 - 65 = p. Suppose -5*n + 0*n = -t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 - 9 - 2)*(-26*n + 18*n - 5*n)*(-32 - 20 + 80 + 2*n) to the form t*n**2 + i*n + w and give t.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4113)\/(-117) - (-2)\/(-13)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 1. Let p(z) = -z + 11. Let r be p(4). Let k = r + -5. Calculate the least common multiple of i and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 - 11 - 11 + 5*s**2 - 2*s**2 as q*s**2 + c*s + p and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*-2 + -6 + 2 + 11. What is the highest common divisor of q and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1683, 1685, 1687, 1689, 1691, 1693?\n\"Answer: 2*h + 1681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-14 - (6 + -13)) - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, m: 1, r: 1}. Give prob of picking 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 446877830.\nAnswer: 2, 5, 7, 6383969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 10. Let f(k) = -5*k + 0*k - j + k + 5*k. Let h(o) = o - 1. Let i(w) = -3*w + 4. Let y(r) = -h(r) + i(r). Determine -2*f(c) - y(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 205 = 5*x - 5*z, -2*z + 53 - 249 = -5*x. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3956420 to the power of 1\/2, to the nearest integer?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + u - 5, 2*t - 2*u + 22 = 0. Let m be (-2)\/((-39)\/t - 4). Let w = 20 - m. Solve w = 3*p - 4*c - 19, -4*p = -3*c + 4 - 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1164109953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -181\/1302 and 145\/4353006.\nAnswer: 134943186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i**3 - 2*i**2 - 2*i - 2. Let l be (3\/1 - 1)\/1. Let t be (-4)\/(-3) - 4\/(-6). Let b(y) = 3*y - 4*y**3 + 5 + 3*y**l + 0 - t. What is -2*b(r) - 3*v(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 8*b**3 - b**2 + b + 1. Suppose 18*n - 21*n = -21. Suppose 39*d - 46*d = n. What is i(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n - 3*n + 4*n)*(-5 - 28 - 9)*(0 - 3 + 4) + (-4 + 6 + 0)*(4*n - 4*n + 2*n) + 48 + 6*n - 48.\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 579 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -902*a**3 + 157*a**2 - 259601*a wrt a?\nAnswer: -5412*a + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2007868?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/(-22))\/((-129)\/1419)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 234301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, u: 4, j: 3, f: 1, c: 2, i: 6}. Give prob of picking 1 f and 1 i.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -77314091, -77314096, -77314101?\n\"Answer: -5*c - 77314086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2*y = 2*y - 13, y - 12 = 2*g. Let z(m) = 2*m**2 + 6*m - 11. What is the units digit of z(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(14 - 13) + 11. Solve -s*w + 3*t = -15, -14 = -3*w + 4*t + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (17\/(-1309)*-22)\/(5\/770*-2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -475*u**2 - 3801*u - 14. What is y(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -9*g + 32. Let y be v(-34). Suppose 26*f + 0*f - y = 0. Solve -12 = -16*o + f*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 327349\/3 - 107493. Let k = 1643 - r. Let s = 20 - k. What is the biggest value in 0.2, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/7)*g)\/((g**(2\/5)\/g)\/g)*((g\/g**(-2\/13))\/g)\/(g*g**4))\/((g\/(g*(g*(g*g**(-2\/3)*g)\/g)\/g))**(-3\/7))**(-46) assuming g is positive.\nAnswer: g**(1838\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(6480) + 3)*4)**2 - ((sqrt(315)*1)\/sqrt(7) + -2)).\nAnswer: 17265*sqrt(5) + 519130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from yryrryy?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 e, and 1 s when three letters picked without replacement from ekekiookeoasok.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -24*g**2 - 7559*g + 309. What is k(-315)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -1 + 3 - (13 - (5 + 13))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 94*v + 250 + 258 - 3*v**2 + 4*v**2 - 507 + 0*v**2 as t*v**2 + s + f*v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((z\/(z**(-5)\/z))\/z*z)\/z)\/z*z)\/z*(z**(-1\/4)*z)\/z)**(-2\/47))**3 assuming z is positive.\nAnswer: z**(-57\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 46*w**2 - 40*w + 8. Let f(v) = 77*v**2 - 65*v + 13. Let m(d) = -8*f(d) + 13*y(d). Let r(k) = -2*k**2 - 21*k. Determine r(m(x)).\nAnswer: -648*x**4 + 378*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -172*i*t**2 - 194*t**2 wrt i.\nAnswer: -172*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 2*q - 22, -4*q + 17 = 2*m + 3. Let r = -1 - -4. Suppose 0*u - 6 = -r*u. Solve 0 = u*c + c + q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3 + 276*f**2 - 272*f.\nAnswer: -4*f*(f - 68)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/4 + 17*j**2\/4 - 29*j\/2 + 10.\nAnswer: (j - 2)*(j - 1)*(j + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/(-5) - 6\/20*-272?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -85*r**3 - 7*r - 13*r**2 + 86*r**3 + 38 + 8*r**2. Calculate b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**1)**(1\/22) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 211*a + 957. Is 12 a factor of l(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15731, 24465, 33217, 41993, 50799, 59641, 68525?\nAnswer: 77457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of -b**6\/144 - b**5\/24 + 47*b**4\/24 + b**2 - 22*b. Let r(n) be the second derivative of z(n). Let u = -10 - -5. Determine r(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60931.6 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -48831, -97878, -146925, -195972?\n\"Answer: -49047*l + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2445, 2, 4, 5 in ascending order.\nAnswer: -2445, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 5 - 2 - 2 - 3 + 4 + (-1 + 0 + 4)*(-1 + 2 + 0))*(-l + 3*l + 0*l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 4*n + 5*y + 75, -2*y - 106 = -5*n. Solve -2*d = n - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(2\/3))\/x)**(-33))**(-44)\/((x**(2\/9)*x**(-5\/7)*x)\/((x*x\/(x*x\/x**0))\/x)**(-2\/11)) assuming x is positive.\nAnswer: x**(670598\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4997, 5003, 5009, 5015?\n\"Answer: 6*b + 4991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 75*x**2. Suppose -2*s = -2*u + 20, 5*u + s - 18 = -2*s. Suppose 0 = -f + u. Let t be p(f). Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m**2 - 5 + 20251*m - 40372*m + 20247*m to t + q*m**2 + u*m and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*((-18)\/90)\/(6*1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-1440)*15*36 - (27 - -1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 413 + -411. Let v(q) = 5*q**3 + q**2 + 11*q - 6. Let n(u) = u**3 + 2*u - 1. What is s*v(o) - 11*n(o)?\nAnswer: -o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 13376, 53459, 120266, 213803, 334076, 481091, 654854, 855371?\n\"Answer: m**3 + 13356*m**2 + 8*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2808647658948 - 3.5.\nAnswer: -2808647658951.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -7aa47 (base 11) to base 4\nAnswer: -130211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03 - -17846.\nAnswer: 17845.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-2*sqrt(1152) + sqrt(1152))*2)\/(2*(sqrt(1296) + 2*sqrt(1296)) - sqrt(1296) - ((-1*sqrt(1296) + sqrt(1296))*1 - sqrt(1296))).\nAnswer: -10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 9*w + 13. Let c(q) = 3*q + 24. Let m(t) = -5*t - 23. Let h(a) = -4*c(a) - 5*m(a). Calculate 5*h(f) - 7*v(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5449 + 16345\/3. What is the common denominator of i and -101\/274?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (11806\/4)\/(-4 + 9\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.066 + -0.105. Let o = 379.01200025 + -379.051. Let s = v - o. What is s rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = 33*m - 170, -2*j + 2 = -48*m + 210 + 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -37*w**2 - 3*w - 32*w**2 - 33*w**2 - 2 + 96*w**2 + 2*w. What is g(3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3.2?  (a) 0.1  (b) -1\/3  (c) 0.6  (d) -16\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7140 is divided by 1955?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 25\/4267711 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.97815 millennia to months.\nAnswer: 575737.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 115\/35 - -2 - 8\/28. Suppose z = 3*o - 2*v, 3*o + 9*v = 6*v + 15. Solve -6 = o*t + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yfg when three letters picked without replacement from {j: 1, y: 2, m: 1, f: 1, u: 1, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7658\/(-4376)*(-5)\/(4305\/24).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19533 - -19532.821. What is the second biggest value in g, 2\/17, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of -5*u**4\/12 + 145*u**3\/6 - 495*u**2 - 6713*u. Find o such that m(o) = 0.\nAnswer: 11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 - 20. Let o = 63 - g. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36 + 39. Let a(f) = -8*f**2 - 4*f + 5. Let y be a(x). Let q = 152 + y. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*z = -2*x - 54 + 22, -2*z + 32 = -4*x + 2*x - 0*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.45 - 316.55. Let v = y - -316.99999867. What is v rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) - 1*sqrt(152)*-2 - 5*-1*sqrt(152))\/((5*-3*sqrt(56) - sqrt(56))\/sqrt(7))*-1)**2 + -5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 32620303*g + 34313843 wrt g.\nAnswer: 32620303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 130 + -50. Suppose -9 = 3*n, 4*s = 3*n + 43 + 6. Calculate the highest common factor of s and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -488*u**2 - 49 - 334*u**2 + 26 + 602*u**2.\nAnswer: -220*u**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 316469.\nAnswer: 316469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 299047320 is divided by 785?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-419 + 8*n + 121 - 253)*(-5 + 6 + 2) + (n - n + 2*n)*(-1 - 4 + 6) in the form g*n + t and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(130)\/sqrt(160) - (sqrt(468) + (sqrt(468) - (-2 + sqrt(468))**2)).\nAnswer: -143*sqrt(13)\/4 + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eaeaaeaaaaeaaaaaaa.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-15)\/6*-1*2. Let a be (-24)\/16*(-20)\/3. Let o = a - u. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7777.628t?\nAnswer: 7777628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = -2*s - 5*b, 5*b = -1709*s + 1711*s + 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5\/201 + -4271\/2010. Let k = -39 - -55. Calculate the common denominator of d and (-1)\/2*(k + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 308*d = 328*d + 20. Which is the smallest value?  (a) -0.017  (b) d  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -66*-6*9\/12. Let i(l) = l**2 - 13*l - 35. Let d be i(-4). Calculate the greatest common factor of o and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 AM and 1:09 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 24 = 4*a, 8 = 5*l + 4*a - 13. Suppose -2*r + 4*r - z = 3, 3*z - 3 = 0. Factor -6*v**3 + r*v**3 + l*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of n**7\/1260 - n**6\/240 + n**4\/12 - 2*n. Let m(h) be the third derivative of u(h). Find the second derivative of m(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 565 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 552365833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 7, g: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p - 9. Let f be a(-5). Put -2, f, 4 in decreasing order.\nAnswer: 4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -41*w**2 - 2*w + 1. Let v(m) = 41*m**2 + m. Let f be 2*(7\/2 + -2). Let r(u) = f*i(u) + 4*v(u). Is r(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 339413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 23126189631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -729, -1179, -1581, -1929, -2217, -2439, -2589?\nAnswer: -2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 PM and 9:20 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**4 + 416*v**3 - 2288*v**2 - 6272*v.\nAnswer: -4*v*(v - 98)*(v - 8)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2184086, 4368178, 6552270, 8736362?\n\"Answer: 2184092*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**4 - 2*x**5 + 0*x**4 + (-3 + 3 - 2)*(0*x**2 + 0*x**2 - x**5) + 3*x**2 + 3*x**5 - 3*x**2.\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 2*j**2 - 210*j = 0.\nAnswer: 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10600764235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13475968*a**3*p**2 + a**3 - 2*a*p**2 + 210864*p + 1 wrt p?\nAnswer: 26951936*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2015 is divided by 707?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9991 + 4853. Calculate the highest common divisor of 24 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -80 - (45 - (183 + -45))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -9*o**3 - 21*o**2 - 4*o - 7. Let l(c) = 5*c**3 + 11*c**2 + 2*c + 4. Let q(x) = -4*k(x) - 7*l(x). Let v be q(-6). What is the units digit of 4*2*9\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 > 500\/147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 2*k - k**3 - 14 + 17\/4*k**4 - 5\/2*k**2. Is v(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/4023 + -11083\/12217851. Let b = k - -30388\/27333. What is the common denominator of b and -31\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29.1 + -3.9. Let v = o - -35.8. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10.788 + 10.988. Suppose 4*o = 3*t - 58, 2*t = -t + 2*o + 50. Which is the third biggest value?  (a) 3\/2  (b) t  (c) 0  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2313 - 2299. Sort -4, 2, s in increasing order.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 64 - 111. Let v be b\/5 + (-4)\/(-10). Let g be (-66)\/v - (-12)\/(-27)*3. Solve 2*u + g = 2*o, -2*o + 8 = -6*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148 is divided by 113?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 119082 and 17088?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1210202 (base 3) to base 7.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10221201 (base 3) in base 2?\nAnswer: 101101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 81321.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27.79448 + 27.8. What is h rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*m**2 - 23*m**2 + 10*m**2)*(0 + 0 - 2*m**2)*(2*m + m - 5*m)*(-3 + 6 + 3)*(0 + 0 + 1).\nAnswer: 72*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 358.1 and 2.\nAnswer: 716.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 32957179907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1487286 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 - 27*x. Let z(u) = 6*u. Let p(n) = -2*m(n) - 9*z(n). Give p(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2323.5 + 2196.1. Round l to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -87620 divided by -26\nAnswer: 3370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11014 * -50.\nAnswer: -550700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 11 = 3*t, -2*t - 9 = -5*u + 1. Suppose u*j = 21 + 31. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 + 41 + 7 - 32\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6*c**2. Let z(y) = 134*y**2 + 13*y - 68. Let j(o) = 63*o**2 + 6*o - 33. Let k(t) = 13*j(t) - 6*z(t). Calculate k(f(m)).\nAnswer: 540*m**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 AM and 8:34 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 + 6 + 6 - 20*l**2 + l**2 as h*l + u*l**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -2\/17, -2\/9, 0.03, 6\/17.\nAnswer: -34, -2\/9, -2\/17, 0.03, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 593156.\nAnswer: 2, 257, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 7, n: 2, w: 5, f: 1, g: 1}. What is prob of picking 1 z and 2 w?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1625 - 1112. Suppose -3*u + m = p - 1737, 0 = u - 4*m - 397. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/2)*c*c**(-3\/10)*c)\/(c**(-1)*c\/(c*(c**(-1\/2)*c)\/c*c)) assuming c is positive.\nAnswer: c**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/24, 570.14, 3, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 140728 by 359.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do 3 and 4856\/2105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221*i - 89*i - 100*i - 145*i**2 - 34*i.\nAnswer: -145*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 26514033589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -0.2, -3\/2, 51?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2 + 36*d + 759.\nAnswer: -3*(d - 23)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.011  (b) 4  (c) -2  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -42183, -42163, -42143, -42123, -42103, -42083?\n\"Answer: 20*z - 42203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**2 + 2*w + 86. Let l be y(-8). Solve l = 5*a - 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5487 + -2044. Suppose -4*y + k = 5*d - 6*y, 0 = -2*y + 2. What are the prime factors of d?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 45259 and -1.1.\nAnswer: 45257.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cpjgups. What is prob of sequence ujgc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 49*w + 2291. Is 55 a factor of r(61)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 9.436853 centuries?\nAnswer: 0.9436853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 3\/2  (b) -4  (c) -1\/4  (d) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -13\/15?\nAnswer: -13\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108919 + 3*s - 53139 - 5*s.\nAnswer: -2*s - 162058","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + -1)*-3 + sqrt(5) - ((sqrt(5) - (sqrt(5) + (sqrt(35)*-4 + sqrt(35))\/sqrt(7))) + sqrt(5)))**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -34542997 < -34542994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 85*s - 104. Let y be n(2). Which is the smallest value?  (a) -2\/3  (b) y  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 534243.2kg to tonnes.\nAnswer: 534.2432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -23956 divided by 4\nAnswer: -5989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -105230.2 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(1 + 0 - 3)*(7 + 1 + 2 + 3 - 4 - 1 - 3 + 0 + 1 + (1 + 1 - 1)*(3 - 3 + 1))*(5 - j - 8 - 5)*(-4*j + 0*j + 3*j).\nAnswer: -14*j**2 - 112*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -2*a - 3*i + 130, i - 136 = -2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 2:22 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1212000121 - 1?\nAnswer: -1212000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 594 by 6.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 475 + 23*o**2 - 475 + 6*o**2.\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 16 = 0, -2*t - 4621*x + 4616*x - 24 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 3*i - 15 = 0, -4*i + 20 = -y + 3*y. Let b = -1 - y. Let w be 0 + 2*b + 2. Solve 2*j = -w*t + 2*t + 6, -5*t = -j + 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**2. Suppose 2*c + q = -3*q + 4, 4*q = -4. Suppose -2*r = -0*r - c. Let i(w) = w**r - 8 + 8. Give i(t(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 4*b**2 + 4*b - 7 - 2*b**2 - 4*b**2. Let j(u) = -u**2 + 2*u - 3. Let s(q) = 13*j(q) - 6*o(q). Let k be s(3). Solve -6 + k = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -67, -125, -157, -151, -95, 23, 215, 493?\n\"Answer: 2*f**3 + f**2 - 75*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 5870\/60 + 2\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -2*i. Let f be b(2). Let n = f + 6. Factor -4\/3*j**4 + 1\/3*j + 0 - 4\/3*j**2 + 1\/3*j**5 + n*j**3.\nAnswer: j*(j - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence trr when three letters picked without replacement from {d: 1, i: 1, t: 1, r: 2, w: 5}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63096224 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 101 + -46 - 90 - -4.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(2\/17)*q**(1\/13)*q*q**(-2)\/q*q**(1\/3) assuming q is positive.\nAnswer: q**(-976\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 160*j. Let x(u) = 0 + 17*u - 75*u + 0 + 42*u. Calculate l(x(h)).\nAnswer: -2560*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/1237 and -0.04783 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, y: 2}. Give prob of sequence yn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**4\/3 + 14*p**3\/3 - 20*p**2 + 24*p = 0. What is p?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 9*y**2 + y. Let t = -1 + 0. Let z be b(t). Let c be z + -6*1\/2. Solve c*i - 12 = 2*f, -2*f = 3*i - 0 - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -8\/9  (b) 1  (c) -0.4  (d) 6\/17  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1443, 2885, 4327, 5769, 7211?\n\"Answer: 1442*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l - 63*l**2 - 3*l + 45*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*i**6 - 5*i**3 + 3*i**2 - 106?\nAnswer: -1080*i**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - -9. Let q(d) = 2*d**2 + 2*d + 26. Let y be q(0). What is the highest common divisor of y and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*z**4 - 3\/4*z**2 + 0*z**3 - 1\/2*z + 0.\nAnswer: z*(z - 2)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*o - 7344 = 25*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-18)\/(-10))\/3)\/(5\/25)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.04 + 0.04. Suppose -2*v = 2*d - 12, 2*v - 7 = -4*d + 7. Which is the second biggest value?  (a) 0.1  (b) n  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48, -194, -436, -774?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 4 - (-2 + -4 - (1 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -291205, -291178, -291151, -291124?\nAnswer: -291097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/11 - 1486710*c**2\/11 - 1486712*c\/11.\nAnswer: 2*c*(c - 743356)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/23260 and 31\/4640?\nAnswer: 5396320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -569*a**2 - 73*a**2 + 358*a**2 - 926*a**2 + 271*a wrt a.\nAnswer: -2420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 + 31*d + 11. What is s(-21)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**2 - 15*f - 6. Let a be t(8). Suppose -4*k - 29 = -4*g - k, a*g = 3*k + 13. What is the highest common divisor of 12 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (46\/8)\/(24916\/2768 - 9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 81 - 60. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-20))\/((-9)\/(-4))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5*((-7 - -2) + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g - 23. What is the units digit of i(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 7. Suppose -8 = p*o + 1. Let h = o - -5. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5409941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -93 - -60 - -45 - -39.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136720185?\nAnswer: 3, 5, 7, 223, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -394 - -396. Find the third derivative of q**2 + 4*q**s - 4*q**2 + 78*q**3 + 4*q**2 - 9*q wrt q.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/(-20))\/(48\/40). What is the closest to -0.2 in w, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 1503*l - 43. Let b(h) = 2*h. Determine b(w(z)).\nAnswer: 3006*z - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-1)*(-4)\/3. Let i(v) = -v**2 - 4*v - 3. Determine i(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 54297894*k**3 + 33860798*k**2?\nAnswer: 325787364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 26219101 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1244201034 (base 5) in base 4?\nAnswer: -23320223321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -365, -194, 267, 1162, 2635, 4830?\nAnswer: 7891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 17 = 117. Let i = h + -16. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 - -4) + 20\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 != -683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m + 8 = -22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 37270314 and 524934.\nAnswer: 37270314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 515 rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**12*b**5*b)\/(b\/b**(2\/9)*b*b**(-1\/13)*b))**(-3\/7) assuming b is positive.\nAnswer: b**(-1790\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2232 is divided by 89.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4726535 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 6:13 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16195175 is divided by 172?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.05  (b) -0.3  (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 - 6*m + 5. Let r be c(-6). Suppose 6*t = 3*t + 12. Suppose 0*l + 3*l - 13 = -t*d, 2*l - 3 = 3*d. Sort 3, r, d.\nAnswer: d, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 72\/(-27)*(14\/(-4) - -2). Let p(m) = 3*m**2 - 2. Let t(z) = -20*z**2 + 15. Calculate v*t(j) + 30*p(j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4605980569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 13*d**2 + 4*d - 3. Let i be (4\/(-2))\/(-2) + 0. What is the remainder when 75 is divided by a(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*k + 215*k - 174 - 63 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 300*b - 17. Let v be 64\/34 + (-8)\/(-68). Let o be w(v). Suppose 4*y - 456 = 5*j, -6*y + 3*j = -y - o. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2733144 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 502 - 284. Do 217 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of z**5\/20 + z**4\/12 + z**2\/2 - 66*z. Let f(p) = -8*p**3 - 6*p**2 - 6. What is -12*b(q) - 2*f(q)?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**14)**(-44) assuming l is positive.\nAnswer: l**(-616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 - 3 - 9)*(3 - 3 + 1)*(-9971 + 9971 + 265*p) in the form q*p + b and give q.\nAnswer: -4770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4*f**2 + 79*f + 1621. Give r(0).\nAnswer: 1621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 5) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-72)\/(-126)*7*4\/(-592)*-1\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.56 - 0.6. Let d = 0.34 + n. Which is the nearest to 1?  (a) d  (b) 0.1  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + 2. Let l(k) = k**2 + 3*k + 2. Let h be l(-4). Let a = h - 4. Put v, a, 4 in increasing order.\nAnswer: a, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249043098 divided by -6?\nAnswer: -41507183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 - 23*b**2 + 51*b - 4. Let y(h) = 2*h**3 - 44*h**2 + 98*h - 9. Let u(q) = 11*n(q) - 6*y(q). Give u(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + l + 1)*(-4 + 4 - 3*l) + (0*l + 5*l + 2*l)*(-l + 7*l + 0*l).\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-seven quarters of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -553*m + 564*m - 28369 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, -32, -1, 1 in descending order.\nAnswer: 1, -1, -25, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -8509, -8515, -8521, -8527?\n\"Answer: -6*c - 8503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10520722 and 5831?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*d + 16 = -13*d. Suppose 17*v - d = 13*v. Solve 0 = v*a + 15 + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1778.04 + -1778. Which is smaller: z or -1\/94?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 65 + 13 = y - 4*y, -5339*y + 5340*y = -3*c - 46 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.9 and 3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -0.7, -5\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2. Let s(b) = -113763*b**2. Give p(s(z)).\nAnswer: 12942020169*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = -52*b + 55*b - 5, -372*b - m = 380 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-52)\/14 + 2\/(-7). Let b = -5 - -5. What is the biggest value in 3\/8, b, z?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 603.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i + 2. Let k be g(0). Suppose -2*w - 3*w + 40 = 5*o, k*w + 5*o - 7 = 0. Calculate the remainder when 32 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*i**2 - 2*i - 39*i**2 + 2*i.\nAnswer: -218*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c. Let i(k) = -30*k**2 + 18*k. Let r(b) = -b**2 + b. Let j(n) = i(n) - 18*r(n). Give j(x(q)).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 32\/7 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90853 + 431*n**3 - 90853 - 1920*n**3.\nAnswer: -1489*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -3100313?\nAnswer: -3100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/3 in 44.8, 42, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1275997 - 167?\nAnswer: -1276164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -21\/2  (b) -0.0904  (c) 2\/3  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 990795500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 51, 57, 61?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 145\/(-45) - 2\/(-9). Let d(c) be the third derivative of c**6\/120 - c**4\/8 - 3*c**2 - 152. What is d(v)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 6 = 0, 5*y - 31*x = -30*x + 552503. Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (38\/171)\/(102\/54).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1916 = -24*z + 1348. Let q = 136 - z. Solve -2*i - 4*n + 10 = q, -i + 0*n - 15 = -2*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*y + 1590 = 186*y + 249*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 127.3 - 24.3. Let r = -155 - d. Let b = r - -257.722. Round b to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - 1. Let w(k) = -4*k**3 + 9*k**2 + 9*k + 6. Let h(q) = -w(q) - 5*x(q). Give h(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (12 - 11)\/((-2)\/(-8)). Suppose 4*f = -h + 4, -4*h + h + i = 4*f. Suppose 0 = 2*y - q - 86, h = 3*y - 0*q - q - 130. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*g**2 + g**2 - g**2 + 1 + 3*g**2 + 2*g**3 to n*g**2 + j*g + d*g**3 + y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 3*r. Let z(a) = -a**2 + 4*a - 4. Let v(c) = -2*c**2 + 7*c - 7. Let f(s) = -4*v(s) + 7*z(s). Give j(f(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 8*l**2 + 6. Let f be y(-8). Let x(k) = -f + 2*k + 6. Let b(g) = -7*g + 4. Let d(c) = -6*c + 3. Let p(r) = 3*b(r) - 4*d(r). What is x(p(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2251 + 2250.99998082. Round z to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 8*g**4 - 2 + 6*g**4)*(2*g + 0 + 0).\nAnswer: -4*g**5 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/187 and 42\/5.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together -229 and 10.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.67, 5, 1, -1\/4, 0.03.\nAnswer: -1\/4, 0.03, 0.67, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 334164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i - 23. Let q be c(9). Let p be (-10)\/6*4*201\/(-268). Sort q, -3, -4, p in descending order.\nAnswer: p, -3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**11*o)\/(o**3\/o)*(o**(-3\/4)*o)**(-3\/28))**(-8) assuming o is positive.\nAnswer: o**(-1341\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 1655*b**2 + 14*b - 45. Let p(s) = -2318*s**2 - 20*s + 63. Calculate -17*a(v) - 12*p(v).\nAnswer: -319*v**2 + 2*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -103*i**3 - 3*i**2 - i + 1. Let n(x) = x**2 - 3*x - 1. Let m be n(3). What are the prime factors of j(m)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -321, 111 in ascending order.\nAnswer: -321, 2, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 691 or 646?\nAnswer: 646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-98)\/(-5) - (20943\/179 - 95).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10143\/50690 + 1\/10138. Which is the smallest value?  (a) 6\/13  (b) i  (c) 1  (d) 0.4  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 485805 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*i**2*t*u**2 - 5*i**2*u - 4*i*t*u**2 - 809*i*t*u + 127*i*u**2 + 3*t*u wrt u?\nAnswer: 20*i**2*t - 8*i*t + 254*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201991486.\nAnswer: 2, 100995743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.2 + -2.1. Let y = 4.1 - g. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 153\/2 + (-15)\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1073826 a multiple of 819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 2 + 2)*(5*v**2 - 5*v**2 + 2*v**3)*(4*v - 5*v - v)*(-3 + 3 - 2).\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10382405*s**2 + 7997550*s - 1540125.\nAnswer: -5*(1441*s - 555)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(96\/(-18) - -4)*(2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3746169106 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -221980 divided by -1\nAnswer: 221980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 40431485453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 313\/(-9) - (2375\/(-171) - -14)*12\/6?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1091997 by -3.\nAnswer: -363999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 658*k**2 + 565*k**2 + 380*k**2.\nAnswer: 1603*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i - 1. Let h be p(1). Suppose -3*d + 0*d + 6 = h. Suppose d = 2*n - 2. Solve 3*r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x - 3*x - x + (-4 - 6 + 2)*(3*x - 3*x + 2*x) - 3*x - 5*x + x + 4*x - 5*x + 2*x + (3 - 3 - 1)*(-x + 1 - 1).\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 159456419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -70, -57, -10, 89, 258, 515, 878?\n\"Answer: 3*y**3 - y**2 - 5*y - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 415*g - 420*g = -4*j + 327720008, -5*j = -g - 65544010. What is g rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10124, 39614, 88466, 156680, 244256, 351194, 477494?\n\"Answer: 9681*q**2 + 447*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*c + 612 = -1341. What is the smallest common multiple of 77 and c?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -110620, -221240, -331860, -442480?\nAnswer: -553100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23011?\nAnswer: 23011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -1, 111, -5, 2.\nAnswer: -5, -1, 1, 2, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 0 + (-116)\/32 + 1\/6 and (-789)\/(-60) - (-27)\/(-3)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*b - 139, v - 67 = -v + 5*b. Let d = 0 - -6. Calculate the remainder when v is divided by (1 - d\/4)*-38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 13\/((-273)\/24)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 13110 = 7*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39166278187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2395 - -3675. Suppose 18*a = 2*a + w. What is the remainder when a is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 12) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -282 + 461. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1679964?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + 0*m + m)*(1 + 0 + 0) + (-69 + 69 - 9*m)*(-2 + 0 + 0).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 46*x**2 - x - 4. List the prime factors of m(8).\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h**2 + h**2 - 2*h**2 - 3*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*1*-4*1*sqrt(605))**2.\nAnswer: 38720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/1741 + 1993\/219366. Let b(z) be the second derivative of 0*z**2 + 0 - 2*z + 0*z**3 - f*z**7 - 1\/60*z**5 + 0*z**4 + 1\/45*z**6. Factor b(p).\nAnswer: -p**3*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/3 - 5*o**3 - 38*o**2\/3 - 8*o.\nAnswer: -o*(o + 1)*(o + 2)*(o + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 31*h**2 + 43*h + 233. Is m(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -z - 2*g, 3*z - 2*g - 47 = -10*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 PM and 5:17 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 38 = 5*h, -5 = 5*h - 4*h - 4*u. Let t be 12\/(-18) - (-20)\/(-6). Let v be 50\/t*(-308)\/55. What is the greatest common divisor of v and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -4*u + 5, u = -2*q + 42293 - 42278 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*n + 14208 = 1954. What is the remainder when n is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72108455 a multiple of 640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/5))**(-1\/22)\/(q**0*q)**29*((q**(-2\/5)\/q)\/q)**(1\/3)*q\/q**(2\/3)*(q*q**1)\/q*q*q assuming q is positive.\nAnswer: q**(-4364\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of d**5\/60 + 13*d**2 - 23*d. Let r(h) be the first derivative of q(h). Let o(k) = -13*k**2. Determine o(r(a)).\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-30))**(11\/2)*(d*d**(15\/7)*d)\/(d*(d\/(d*d**35))\/d) assuming d is positive.\nAnswer: d**(-881\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = l - 3. Suppose 51 = s + 3*k - 172, 0 = -l*s - 4*k + 669. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 957 is divided by 190.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -51*w - 2966. Give j(-96).\nAnswer: 1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 + 11*n + 7. Determine y(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17764, -17730, -17666, -17566, -17424, -17234, -16990?\nAnswer: -16686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d - d - 1 + 7*d)*(-1 - 2 - 1).\nAnswer: -8*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 + 3. Let r be (3 + -4 - n)\/(-1). Let f(y) = -14*y + 11. Is f(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (13 - (6 + -2)) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 6*s + 90 = 5*j, 4*s = -2*j + 42. Calculate the remainder when 2962 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 1. Let o = -458.4 - -456.4. Let k = 257 + -262. Which is the second biggest value?  (a) x  (b) k  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 0.024  (c) 0.3  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 - 26692.63775225.\nAnswer: -26684.63775225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, 5, -2\/3 in ascending order.\nAnswer: -56, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3184\/3980)\/((-8)\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 2  (c) 0.0571  (d) 1  (e) 916  (f) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 88 + 12*r**3 - 88 + (-2*r - 2*r**3 + 2*r)*(0 + 2 + 0) - 3*r + 3*r - 2*r**3 + 7*r**3 - 4*r**3 - r**3 to the form u + f*r**3 + j*r + w*r**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 306765 and 612?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1657.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3\/5003 + 25033\/30018. Which is the third smallest value?  (a) -22  (b) -2\/11  (c) f  (d) -2  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -77*j - 9762. Determine u(-129).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15185806?\nAnswer: 2, 7592903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*p = 60. What is the second biggest value in 0.2, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1139, 4476, 10013, 17750, 27687?\nAnswer: 39824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 800, 13, 1\/13, 0.3 in descending order.\nAnswer: 800, 13, 0.3, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49\/658*(-1356)\/4746.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(832)*-2 + -5 + (sqrt(13) - (sqrt(13) + sqrt(208))*-3)**2*-1)*1*-6.\nAnswer: 576*sqrt(13) + 119988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is 22789.7 take away -128.735?\nAnswer: 22918.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9791.655 hours to microseconds.\nAnswer: 35249958000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -56*t - 375. Let n be u(-7). Solve 0 = x - 3*y + 5, 2*x - 14 + n = -y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*u - 11*u - 20489 + 18689 = 0 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6015*q + 6054*q + 351 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 158a2 (base 11) to base 2.\nAnswer: 101011101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18.678 - 0.512. Round a to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -161860000 rounded to the nearest one million?\nAnswer: -162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -97, -190, -279, -364, -445, -522?\n\"Answer: 2*l**2 - 99*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**19\/(v\/v**20)*(v\/((v*v**1*v)\/v))**(3\/5) assuming v is positive.\nAnswer: v**(187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + -2202000120112102?\nAnswer: -2202000120112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y - 4*y + 2*y)*(y - 3*y + 4*y) + (-2*y + 2 - 2)*(5*y - 4*y + y) + (1 - y - 1)*(2 + 2*y - 2) - 2*y**2 + 10*y - 10*y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.21 + -0.379?\nAnswer: -4.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 18 - 7*u**4 - 20 + 17*u**3 - 12*u**3 as y*u**3 + a*u**2 + c*u**4 + m + n*u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of -s**4\/4 + 7*s. Factor r(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -133486 + 193841. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1588 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 333 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o. Let h(q) = 180*q**2 - 40*q + 40. Let b(y) = -14*y**2 + 3*y - 3. Let z(f) = 40*b(f) + 3*h(f). Calculate m(z(l)).\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5814 and 2394?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s**3 + 2*s**2 - 2*s + 1. Let w be l(1). Let y be 1*7 - (-6)\/6. Suppose -7*x = -w*x - y. Calculate the least common multiple of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = 13*a - 3552 - 1276. Is 363 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 - 1111 = 87*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/13, -26, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1910129891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -135 * -228.\nAnswer: 30780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -7 + 0 + 0 + 31538 + -31538 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1133 + 1129. Let g = 3.1 + -3. Which is the nearest to -1?  (a) 0.3  (b) k  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q. Let g(t) = 308*t**2. What is w(g(o))?\nAnswer: 616*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, 1\/8, -2.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1331) + 3 + sqrt(1331))*-4 + -2 - (-2 + -1*sqrt(1331) - -1*(0 + sqrt(1331))))**2.\nAnswer: 2112*sqrt(11) + 85328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xft when three letters picked without replacement from xtiitxxuttfutzxxtx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22923\/5 + 4585. Which is the biggest value?  (a) -0.03  (b) k  (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -179\/60060 and -38\/11827725.\nAnswer: 520419900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-755 - -777) + -62 + -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -221 by -3.\nAnswer: 221\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {o: 2, i: 1, b: 3, s: 1, c: 2, a: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -87, -110, -147, -204, -287, -402, -555, -752?\n\"Answer: -z**3 - z**2 - 13*z - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - 111200?\nAnswer: -111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -54.81 rounded to the nearest integer?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 26*d**2. Let p(g) = -2*g**2 + 3. Give p(r(h)).\nAnswer: -1352*h**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 56*s**2 + 5*s - 241. Let d be u(56). Solve 0 = m, 35*t - d*t = 5*m + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*(m\/(m*m\/m**(-1\/6)))\/m*m)\/m**(1\/4))**42 assuming m is positive.\nAnswer: m**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.06 - 0.04. Let l = -549.574 - -549. Let n = 0.074 + l. Sort x, n, 0.6 in increasing order.\nAnswer: n, x, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of 3*h**5\/25 - 13*h**4\/4 + 86*h**3\/5 + 576*h**2\/5 - 864*h\/5 - 745. Suppose d(l) = 0. What is l?\nAnswer: -3, 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -0.3, -2, 0.5, 4\/5, 2\/411 in descending order.\nAnswer: 4\/5, 0.5, 1\/4, 2\/411, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3922524?\nAnswer: 2, 3, 108959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 13, 2, 0.025, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 1)*(-19 + 268*q**3 - 133*q**3 - 133*q**3) + 11 - 11 - 2*q**3.\nAnswer: -6*q**3 + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.32 + 16.58. Let b = 17 - n. What is the nearest to 0.01 in -1, -2\/13, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f, 5*n + 6*f - 3260 = 4*f. Suppose 0 = -t - n + 2230. Is t a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 958 = -5*o - 934 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 50f8d4 - 3?\nAnswer: 50f8d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.04288 + 4.04288. Sort 1.4, 4\/9, z in ascending order.\nAnswer: 4\/9, 1.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -21, 5 in decreasing order.\nAnswer: 5, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (198\/24)\/((-2)\/(192\/(-36))*(-1)\/(-1))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o and 1 b when four letters picked without replacement from boooobbbobooo.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence df when two letters picked without replacement from lgleellllfllldled?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1628, 3255, 4882?\n\"Answer: 1627*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1970 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -4*t + 18. Suppose 0 = 3*h + 5 - 32. Calculate the remainder when t\/36 - (-197)\/6 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32 + -3. Suppose 0*c = 2*f - c + 13, -4*f + c = r. Calculate the remainder when 13 is divided by f\/(-4) + 4 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 divided by -134?\nAnswer: -60\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + q - 4 = 0. Let b = q + -3. What is the units digit of 1\/(b\/6*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -304 times 6863?\nAnswer: -2086352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((162\/16)\/27)\/((-17)\/136)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16004 - 10097. List the prime factors of x.\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3512 and 329800.\nAnswer: 144782200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-3)\/((-84)\/(-4)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 91.178858 - 2.\nAnswer: 89.178858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7677\/5933 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 10671*k = 10680*k + 131, -142 = -2*c - 2*k for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 10 = 7*r - 2*r, 0 = -5*m - 2*r - 7. Let u = -1.5 + 18.5. Let h = -14 + u. Which is the closest to m?  (a) 1  (b) -3\/5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 + -20.4. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (88\/(-11))\/(-1 + -1). Let x(n) = -2*n + 2 + t*n - n**3 + 2*n**3. Suppose 2 = 5*y + 12. Calculate x(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**2 + 3*s**2 - 2*s**2. Let k = -472 + 471. Let a(t) = -2*t + 1. Let h(w) = -9*w + 4. Let l(p) = k*h(p) + 4*a(p). Give l(m(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d**2. Suppose 5*w + 3*o - 370 = 0, -3*w + 2*o - 26 + 267 = 0. Let l(f) = -40*f + 13*f + w*f. What is l(k(u))?\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1431 greater than -1432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 739 + -725. What is the remainder when 95 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 39 = 7*p, -41*p = -s - 39*p - 15. Let l(t) be the second derivative of t**3\/6 - t**2\/2 - 2*t. Determine l(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1580, 6000, 13258, 23354, 36288?\nAnswer: 52060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-150)\/20)\/(-15))\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 12*k**2 + 37*k - 2. Let a be l(6). Solve 4 + 8 = a*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/1023 and -50\/715821?\nAnswer: 7874031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**1*b)**50)**(4\/9) assuming b is positive.\nAnswer: b**(400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 391 - 5 + 97 + 77 - 8*t + 29 in the form g + x*t and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00450227 rounded to four decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -361 - 63*p + 192 + 191. Let y(d) = 3*d. What is y(w(a))?\nAnswer: -189*a + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -475 - -804. Suppose -x - 2*q = -79, -9*q + k = 4*x - 14*q. What is the highest common divisor of 54 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 + (-4 - (-3 + -19))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 6*p - 3. Let q(x) = -7*x + 3. Let t(b) = -6*i(b) - 5*q(b). Let m(f) = 2. Calculate 2*m(g) - 2*t(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + 1)\/((-12)\/(-468)). Suppose q = 3*w + r, 2*w + 3*r - 134 = -3*w. Suppose -4*j + w = 5. Solve f = j*b - 5, -3*f + 7 = -4*b - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 + -842127?\nAnswer: -842126.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 675074598 is divided by 337537294.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.042  (b) -1\/70  (c) -3\/4  (d) 1  (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1064*m + 477*m - 996*m to the form x + u*m and give u.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -1 - 3 - 3) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -851362600 rounded to the nearest one million?\nAnswer: -851000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 - 1264*u**2 - 242165*u - 1179350.\nAnswer: -(u + 5)*(u + 229)*(u + 1030)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 7*z. Let j = -0.027 - 0.143. Let s = j + 2.17. Which is the smallest value?  (a) -20  (b) s  (c) -0.2  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g, 1 k, and 1 d when four letters picked without replacement from znvkgdzgdzzn.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3461263 and 1471?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aykykakkyaaa. What is prob of picking 3 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54326 = 15103*h - 1712725 for h.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -5*r + 8 + r + 0*r - 2*r - 77777*r**2. Let d be w(6). What is d rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 - 11*h + 85. Let q be i(5). Let b(l) = -l. Let x(d) = -2*d**2 - 5*d + 3. Give q*b(f) - x(f).\nAnswer: 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((36\/(-14))\/((-27)\/(-126)))\/(3*(-238)\/21).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q**3 + q**2 + 2. Let b(o) = -o**2 - 6*o. Let l be b(-7). Let r(n) = 2*n**3 - 1. Let y(h) = l*r(h) - 3*w(h). What is the units digit of y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 3. Let v(z) be the third derivative of z**4\/6 - 7*z**3\/6 + 7*z**2. What is the tens digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of n**3\/3 + 3*n**2 + 4*n - 2. Let i be k(-5). Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.14*14.46\nAnswer: 2.0244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2779*r**2 - 2779*r**2 + 11*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i - 11. Let o be a(-16). Suppose -7 = -o*u - 2*t, 8*u + 4*t = 3*u - 1. Solve 30 = -4*z - u*w - 5, -2*z - 2*w - 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 543.86 - 543. What is the third biggest value in -2\/15, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*h - 2*h - h + 3*h - h - 3*h + (0 + 0 - 1)*(3 - 3*h - 3) - 1 + 1 + h)*(-2027*h - 53 + 18 + 14 + 21) to g + y*h**2 + l*h and give y.\nAnswer: -4054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1003, -1084, -1179, -1294, -1435, -1608, -1819?\nAnswer: -2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 1606 = 3*w, -2*a - 1164*w + 652 = -1166*w. What is the greatest common factor of a and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1383 + 1375. Let m be ((-3)\/6)\/(1\/58). Let a = g - m. Calculate the highest common divisor of 147 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39319 is divided by 125.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*y = 2*k + 17, -3*k + 4*y = 1. Let i(z) = z + 3. Let a be i(k). Factor 3\/2 - 3\/2*d**2 + a*d.\nAnswer: -3*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 4 - 1)*(-3*g**2 + g**2 + 6*g**2) - 29*g**2 + 7*g**2 - 20*g**2)*(0 + 4 - 2 + (0 + 3 - 5)*(0 + 4 - 2)).\nAnswer: 92*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 4433*x**2 + 129401*x + 81. Determine z(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -5256 at least as big as -5256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-1))**(-19) assuming m is positive.\nAnswer: m**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - 2*k + 2*k**2)*((1 + k - 1)*(2 + 2 - 6) - 4*k + 5*k - 3*k - 2*k + 5 - 5) + 6*k**3 - 16 + 16.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (sqrt(192) + (sqrt(192) - (-3 + sqrt(192))) - sqrt(192)) - -1*(1 + sqrt(192)))*-5*4)**2.\nAnswer: 6400*sqrt(3) + 77200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3543122ng in milligrams?\nAnswer: 0.0000003543122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = 3*z + 40. Suppose -x + z*y + 10 = 5*y, 2*x + 6 = -3*y. Let t be (3 + -1 - 1)\/(-5). Is t bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u + 5. Suppose 3 + 3 = -2*g. Give v(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33437?\nAnswer: 29, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 50 - 56 - 117 - 6*m + 3*m - m**2. Let z be q(0). What are the prime factors of 1\/(12\/z)*-24?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 80 = 5*n, 0 = -2*n - l + 37 - 8. Calculate the lowest common multiple of 1\/(1 - (-9)\/(-12)) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s - 1. Let l(c) be the second derivative of -2*c - 1\/6*c**3 + 0 + 1\/2*c**2. Suppose -p - 4 = 3*p. Give p*l(i) - a(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 81 + -72. Suppose 13590 = q*u - 0*u. Round u to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2133279361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1879 = 3*n - 4*q, 0 = -8*n + 3*n + q + 3143. Let u = n + -298. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 6 - 7 - 6 - 7*h - 8 + h**2. Let s be d(9). Suppose s*z + 55 = 3*q + 19, 0 = 3*q + 5*z - 52. Calculate the remainder when 24 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**2. Let h = 8 + -12. Let s(w) = 10*w + 7. Let q(y) = 3*y + 2. Let b(p) = h*s(p) + 14*q(p). Calculate a(b(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 39678 divided by 154?\nAnswer: 19839\/77","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Expand -7*v**5 - 11*v**5 - 26*v**5 + (v**2 - 2*v**2 + 0*v**2)*(-v**3 + 2*v**3 + 0*v**3).\nAnswer: -45*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -140340001 (base 5) to base 16.\nAnswer: -ae8f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 8*p**2 - 6*p - 4. Let d(l) = l**3 + l**2 - l - 1. Let f(j) = 6*d(j) - s(j). Let x = 24613 + -24611. Calculate f(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 979, 1161, 1545, 2233, 3327?\n\"Answer: 17*i**3 - i**2 + 66*i + 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 6373 = 80627. What is w rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161612562?\nAnswer: 2, 3, 103, 261509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/37?  (a) 4  (b) 5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*n + 15*n + 24950. Which is greater: -500 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.077, -2, -255, 0.4, 3?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r. Let p(y) = -1. Let d(x) = -2*x**2 - 3. Let u(c) = -d(c) + 3*p(c). Determine m(u(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, n: 6}. What is prob of picking 3 n?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231533535.\nAnswer: 3, 5, 29, 532261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11655 divided by -5.\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9274 - 5865. Round s to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 + 424\/(-88))\/(-3)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 less than or equal to 1049\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q**3 - 32*q**2 - 2*q + 2. Let n(k) = -17*k**3 + 161*k**2 + 11*k - 11. Calculate -6*n(r) - 33*u(r).\nAnswer: 3*r**3 + 90*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27159 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 8:05 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6892 or -7016?\nAnswer: -6892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 + 10*l**2 + 9*l + 26. Let n = 4 + -2. What is the lowest common multiple of n and i(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i - 73640 - 39440 = 0. List the prime factors of i.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 3*n - 1374, -4*q - 17*n = -16*n + 1089. Let g = q - -274. Put -1, -5, 3, g in descending order.\nAnswer: 3, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + r + 2)*(-179*r + 2 - 2 + 625*r + 163*r) in the form i + n*r + x*r**2 and give x.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 2:42 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 13320220222 (base 4) in base 16?\nAnswer: 1f8a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 6 + 4. Let z(u) = u - 6. Let m be z(6). Suppose 3 = -m*p + p - 3*n, -3*p + 4*n = -24. Solve 3*g = p, 0 = -3*c - 2*c + f*g + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**2 + 197794 - 11*x**2 - 197712 to the form j*x**2 + w*x + s and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**3 + t**3 + 2*t**3 + 6*t**3 + t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 290*z**2 - 122*z**2 - 169*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3637329377 to the power of 1\/3, to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from tiititi.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 83 - 85. Let q(w) = -2*w + 9. Let i(c) = 5*c - 3 - 2*c + 0*c - 2*c. Let l(m) = 8*i(m) + 3*q(m). Calculate l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 PM and 6:06 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + 102214310?\nAnswer: 102214310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 0.2, 2\/11, 0.4, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 34500 (base 11) in base 5?\nAnswer: 3043402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40833 is divided by 2142?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -531688848 divided by -4.\nAnswer: 132922212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (4400\/770 + (-12)\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1689 - 36 = 345*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1.6, -30, 2, 4.\nAnswer: -30, 1.6, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1.23 * 2\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.4+465\nAnswer: 464.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 z, 1 v, and 1 d when four letters picked without replacement from {w: 6, a: 4, v: 1, d: 1, r: 2, z: 4}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -b88?\nAnswer: -b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-16)\/48 - (-1 - (-2)\/3)*43. Solve 0 = 4*j + 3*j + r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9192 at least -438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -3012 (base 4) in base 3?\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206*x + 50 = -211*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/7 - 0)*(11 - 4). Suppose f - 18 + 8 = 5*n, s*f - 30 = -5*n. Solve 3*u + f = 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2002\/95 and 22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*s**5 + 730*s**2 - 22*s - 3.\nAnswer: 40*s**3 + 1460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 179 = 6*z. Let p be (-9)\/6*4\/z. Let h = 1771 - 1771.6. Which is the nearest to 1?  (a) p  (b) -0.3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - d. Suppose -2 = -2*h - 0. Let m(u) = -5*u**2 - 9*u. Let l(q) = h*m(q) - 2*o(q). What is the second derivative of l(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 6*a**3 + 18*a**2 + a - 17. Let g(r) = 4*r**3 + 9*r**2 + r - 9. Let v(k) = 3*f(k) - 5*g(k). What is v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 210 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22069381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(550)\/(sqrt(176)*-4))**2 - (-6*2*sqrt(72) + sqrt(72) + sqrt(72) + (sqrt(72) - 1*(0 + sqrt(72))))**2.\nAnswer: -921575\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7428, -7430, -7434, -7440, -7448, -7458, -7470?\nAnswer: -7484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/63549 and -85\/88572.\nAnswer: 1876220676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-119136)\/2125)\/4 - 1*(-9 - 5)\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b. Let o be v(5). Let a(k) = k + 4. Let j(m) be the second derivative of 0 + 1\/3*m**3 - 66*m + 7\/2*m**2. Determine o*a(i) + 3*j(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 288*g - 246 = -68 + 110. What is the third biggest value in 4, 4\/9, -85, g?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/52)\/(3 - 729\/234)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 90 (base 10) to base 2\nAnswer: 1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z + 0*z - 5*z)*(-z + z**2 + z) - 6*z**3 + 87*z**3 - 20*z**3.\nAnswer: 59*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -18) + -13 - 17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) -1  (b) 0.033  (c) -3\/4  (d) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1*-3)\/(10 - 11). Suppose -s*t + 16 + 5 = 0. Let b = -31 - -33. Calculate the lowest common multiple of b and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s**5\/2 + 3*s**4 - 19*s**3\/2 - 8*s**2 + 30*s - 16 = 0. What is s?\nAnswer: -8, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c**2 - 5493 + 8056*c**3 + 5491 + c**2.\nAnswer: 8056*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (78 - ((0 - -1) + 23)) + -16?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 7 = 2. Let u = p - 2. Sort -2, 4, u.\nAnswer: u, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 89 and 26255?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 11*c - 26. Suppose 0*b + 288 = 4*b - 4*s, c*b = -4*s + 168. Calculate the greatest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6c - -1?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 - 4*p**2 + 6*p + 3. Let x be k(-7). Differentiate x*v**4 + 7 - 105*v**4 - 2 with respect to v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1077 and 4618.95?\nAnswer: -4974609.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*q**2 - 28 + 4*q**2 + 4*q**2 - 35 to the form u + m*q + a*q**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -3025850 <= -3025841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 1041\nAnswer: 5205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-5) + 15\/(-25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1757740378?\nAnswer: 2, 541, 1624529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-44)\/132)\/((-10)\/6 - -2)*38.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12056 divided by -1507.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(156)*-1 + sqrt(156))\/sqrt(6))\/((sqrt(96)\/sqrt(4))\/sqrt(12))*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 + 1 + 363 + -378.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 3*j**2 - 6*j + 7. Let d be t(10). Calculate the greatest common factor of 76 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 minus 1358047?\nAnswer: -1358048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 66 + -70. Let b be (8 + -7 + -4)*2\/6. Sort 0, 3, s, b in decreasing order.\nAnswer: 3, 0, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -4  (b) -1\/18  (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15449 divided by -1.\nAnswer: 15449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 4*b + 475, -2*h - 2*h + b + 1870 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27547301017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5994 = 1979*b - 1985*b. Calculate the greatest common divisor of b and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 38\/1307 in 15\/4, -1\/5, -0.11, 3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3268 is divided by 155?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*b - 3*q, -4*b - 5*q - 6 + 15 = 0. Solve 4*t - 11 = p - b, 25 = 5*p + 5*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17\/(18207\/255))\/(2\/2*5\/1)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2702*b**2*o*q - 2*b**2*o - 289323*b**2*q + 2*b**2 - 3*b*q - 124*o wrt o?\nAnswer: -2702*b**2*q - 2*b**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -624893, -624884, -624871, -624854, -624833?\n\"Answer: 2*o**2 + 3*o - 624898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, 4\/7, 30\/11, 3.\nAnswer: 4\/7, 0.6, 30\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v + 5*t - 15, t - 29 = 2*v - 4*t. Which is bigger: v or -7\/10?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1443*v**3 - 352?\nAnswer: 4329*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 219431052 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0*f - 3*f + 6*f - f + f + f + (8 - 3 - 1)*(-f - 4*f + 6*f))*(2 + f - 2).\nAnswer: 8*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 95 - 93. Let i(s) = -10*s + 2. Let q be i(-1). Find the second derivative of q*l**4 + 52*l**t - 52*l**2 - 19*l wrt l.\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164447747.\nAnswer: 164447747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 83 + 2?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - 7. Suppose -13*d + 3*r = -10*d - 9, -3*d + 3 = 3*r. Let k(z) = -31*z**b - 38*z**d + 66*z**2. Let a(x) = -2*x**2. Determine k(a(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -1568718\nAnswer: -1\/784359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1*(4\/(-18))\/(6\/3)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - d**2 - 10*d + 2*d**2 - 4*d + 0*d**2 + 15.\nAnswer: d**2 - 14*d + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 8\/15  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76053 is divided by 370.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 0*h - 1 + 11*h - 5*h - 8*h. Let x be f(-2). Suppose -3*z = x*z. Which is the closest to z?  (a) -4  (b) 0  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24938 + 24942. Suppose 2*c + 43 + 1 = 0. Let q = -16 - c. Solve 5*a - 7 = -2*d, 0 = -r*d - 5*a + q + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 112264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 13*a**2 - 31*a - 15. Determine l(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**2 - 2*u**3 + 2*u**2)*(-52*u + 52*u - 9*u**2).\nAnswer: 18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 12 - (52 - 37) - -45\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 689, 707, 751, 833, 965, 1159?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1628035 (base 9) to base 4\nAnswer: 3130320101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1319 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = v - 21, -5*v + 4*s + 33 = -2*v. Let y(f) = 7*f - 24. List the prime factors of y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 63 - 38. Suppose 0 = -4*k + 14 + 14. Solve 2*z + p = k*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4754 - 0.9754. What is the fifth smallest value in 8, 1\/2, -5, 0.3, d?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/5 + (-32)\/(-30). Which is the second biggest value?  (a) r  (b) 0.4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -606660, -607376, -608568, -610236, -612380?\n\"Answer: -238*r**2 - 2*r - 606420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 535436254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 240\/(-60) - 423\/(-99)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o*o*o**(-9))\/o)\/o*o**(12\/11)\/o*o**5\/o**(-2))**4 assuming o is positive.\nAnswer: o**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of 0 - 2*j + 0*j**4 + 1\/5*j**5 + 7\/6*j**3 + 0*j**2. What is the second derivative of h(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 1606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = 5*o + 313, 7*p - 9657*o = -9658*o - 70 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -5*s**2 + 14*s + 64. Let m(l) = l**2 - 6*l - 33. What is -7*m(o) - 3*n(o)?\nAnswer: 8*o**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jxv when three letters picked without replacement from {j: 4, x: 9, v: 4}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2. Let c(s) = 4111*s**2 + 45*s. Let g(i) = -8222*i**2 - 81*i. Let l(w) = -9*c(w) - 5*g(w). Calculate l(z(t)).\nAnswer: 4111*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-24)\/(-12)*2 - 1. Put 38, x, -7 in ascending order.\nAnswer: -7, x, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 23*f**3 + 256113468438*f - 256113468438*f - 2.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3314322 and 3249?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -14 - (-2 + (1 - (1 + (7 - 14))))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.8, 2\/29, 44, -289 in descending order.\nAnswer: 44, 0.8, 2\/29, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -16\/3  (b) 4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 495588 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 6*a**2 - 51*a - 4. Let j be s(9). Let l = -39 + 28. Let b = j + l. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a hour in minutes?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 5:51 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159460105 is divided by 31892016?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 65*h**2 + h + 3. What are the prime factors of d(-2)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119*a**3 - 510*a**2 - 121*a**3 - 120*a**3 + 366*a**3 - 93*a**2.\nAnswer: 6*a**3 - 603*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*w - r + 8 - 3, -2*w - 2*r - 20 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-4\/13)*d\/d**17*d*d*d**(-4\/5)*d**4 assuming d is positive.\nAnswer: d**(-722\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 140\/(-21)*(-33)\/(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135504608 to the power of 1\/2, to the nearest integer?\nAnswer: 11641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 106266965 by 21253393.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4.578 times -1\nAnswer: -4.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(1\/20)*f**(-2\/25)*f**(15\/4)\/f**0 assuming f is positive.\nAnswer: f**(93\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.892 times -26?\nAnswer: 23.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 12 = -4. Let m(p) = 8*p + 157. Let n be m(-19). Suppose -k + 40 = n*u + k, t*u - 2*k = 50. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 8*f**2 - 4. Let g(h) be the third derivative of -h**4\/8 - 9*h**2 - 9*h. What is g(u(n))?\nAnswer: -24*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 829.\nAnswer: -6\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(704)*-1 + sqrt(704) + sqrt(11))**2*1 + 2 + ((-6*sqrt(121)*1)\/(-1*sqrt(275)))**2.\nAnswer: 771\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(-5)*d\/((d*d*d\/((d\/d**(-26))\/d*d*d))\/d)*d*d*d assuming d is positive.\nAnswer: d**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2011323 + 1.1?\nAnswer: -2011321.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 4*u = -34, -4*c - 118*u + 56 = -82*u - 40*u for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110110101 - 1011101100100?\nAnswer: -1001110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 3*n - 5, -4*n + 24*u = 20*u + 36 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23863*p**4 - 25913*p wrt p.\nAnswer: 286356*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 6*z + 855. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3398940 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 423 and 42018?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*1*2*((-143)\/(-44))\/(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -5 - (4 - (-3 + -3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 2*v - 2*v**2 - 2*v. Let l be t(-3). Let p(a) = 2 + 0 - 3 - 2. Let x(j) = j + 4. Determine l*p(c) + 2*x(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/29684 and 75\/16?\nAnswer: 118736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c + 7 + 3*c - 2*c. Let x be n(3). Suppose 0 = x*d - k - 8 - 15, 2*d = k + 9. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91 is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 94, 1\/6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4802 - 19207\/4. Which is bigger: a or 8.24?\nAnswer: 8.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -m*p**4 + 6*m*p**3*r**3 + 8*m*r**3 - p**5 + 3*p**2*r**3 wrt p.\nAnswer: -24*m*p + 36*m*r**3 - 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/((-136)\/96) + 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h + 8. Let k be u(5). Solve 4 = k*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*w**3 + 4*w**3 - 2*w**4 + (1 - 1 + 4*w)*(12*w**3 - w**3 - 3*w**3) in the form s + d*w**3 + t*w + a*w**4 + z*w**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 7*t - 26. Let f(n) = 0*n + 5*n - 13 - n. Let o(x) = 6*a(x) - 11*f(x). Let k(g) = g + 7. Let r(s) = -11*k(s) - 6*o(s). What is r(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32608*b = 32582*b + 101478. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.7 - -0.2. Let s = 0 + w. Suppose 10 = -p + 3*p. Which is the biggest value?  (a) p  (b) s  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, -1, 0.3, 20, -9, 87 in decreasing order.\nAnswer: 87, 20, 0.3, 0, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-67)\/(-23) + 14\/161 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*x + 49 + 250 - 51 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of 2*v**4\/3 + 7*v**3\/3 - 12*v. Find the second derivative of n(x) wrt x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 964 = -3*w - 242. Do w and -403 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -16, -24, -28, -28, -24, -16?\n\"Answer: 2*a**2 - 14*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 315 + 91. Let g = 26841582.93299769 + -26841988.933. Let z = n + g. Round z to 7 dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3464768 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 4 + 5. Let q = h - 30. List the prime factors of 8\/12*q\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*d + 185 = -132 - 563 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 42*a - 4. Calculate i(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -2*w + 3*p, -2*w = 3*p - 8*p + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/7))**(-1\/30))**48 assuming r is positive.\nAnswer: r**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 11 - (-20 - (-1647)\/54). Factor 6*x + w*x**2 + 0.\nAnswer: x*(x + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**2 + 3*n - 3. Suppose 96 = 2*o + o. Let v be o\/(-40) - 11\/5. What is l(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/27999 and 121\/90.\nAnswer: 279990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3878563.\nAnswer: 13, 61, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {w: 1, m: 1, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*a = -0*a + 62, 0 = -4*l + 5*a + 168. Suppose t = 4*p - 0*t - l, -3*p = -t - 28. Let s be (15\/p)\/(1\/(-6960)). Round s to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11602 + 3034?\nAnswer: -6546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 768 and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1608 and 4.\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10.6 + -10. Let m = -0.4 + n. Which is the biggest value?  (a) -4\/3  (b) -2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 64 = -61. Suppose -1461*p + 18729 = -3186. Calculate the highest common factor of z and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 10639 = 5*s, 4*q + s + 42481 = 6*s. Is (-1 + (-1 - -1))\/(6\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30951 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: Express -47*p**2 - 25*p + 55*p**2 + 2*p**3 + 26*p - 7*p**3 in the form h*p**2 + w + k*p**3 + d*p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1035239083 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -9*b + 60. Suppose -17*t + 29 = -39. Calculate the lowest common multiple of 24 and y(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 79924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -14\/6608971?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25405.366*-15.\nAnswer: 381080.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5171 - 20669\/4. Factor -3\/2 + 21\/4*d**2 + g*d.\nAnswer: 3*(d + 1)*(7*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) -3\/5  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 - 51*d + 4224. Let p be f(-95). Solve -41*m + p*m + 7 = -2*t, 3*t = 2*m + 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uywyluwwuwcwy. Give prob of sequence yuu.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - 2 - 4\/((-4)\/7). Solve -u*h = 4*p + 7, -p - 2 = -5*h - 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - 1. Calculate the least common multiple of 22 and (66\/(-18))\/(y\/(-6)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/89?  (a) 10  (b) 4  (c) 0  (d) 5  (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t = -3*t + 920. Let s = t - -232. Solve s*j + 0*j = 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.697502 micrograms to tonnes.\nAnswer: 0.000000000000697502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 29787 or 29833?\nAnswer: 29833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8005, -8465, -8925, -9385, -9845, -10305?\nAnswer: -10765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 340031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28107\/464135 - -122\/1043. Let v = 2\/89 + k. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 - 9*g - 45. Let c be t(-5). Let n be (-5)\/(c\/10)*-1. Let i = 73 - 66. Sort i, n, 5.\nAnswer: n, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5417 - 3024. Let k = s + -670. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13062000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -103 - -222. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1364 divide 1394151220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 4*h**2 - 1. Let s be p(-3). Let o = 62 - s. Calculate the remainder when (-1 - -3)*-1 - -107 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.586 - 0.286. What is the closest to -178 in f, 3\/2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of p**5\/15 + 5*p**4\/24 - p**3\/2 + 11*p**2. Let g = 8 + -5. Let y(v) = 7*v**2 + 9*v - 5. Calculate g*y(a) - 5*f(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + 0 + ((0 - (29 + -19)) + -7 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 9, -43, -215, -567, -1159, -2051, -3303, -4975?\n\"Answer: -10*m**3 + 18*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23129 - -22986.13. Let l = j + 137. Round l to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92722 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 18*c - c + 15*c)*(-4 - 5 - 3) as y*c + s and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2400 + 2576. What is the highest common divisor of 40 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 18 = 6. Suppose 0 = -3*b - b - s. Let z(t) = 2*t**2 + 4*t + 9. Is 9 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -29*w**3 - 28*w**2 - 8*w - 8. Let b(m) = 10*m**3 + 9*m**2 + 3*m + 3. Let d(t) = 8*b(t) + 3*v(t). What is the third derivative of d(q) wrt q?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 5*f - 18 = -i, -4*i = -5*f - 39. Let x(a) = 11*a - 120. Let s be x(30). Suppose -12*q + 126 + s = 0. Calculate the remainder when q is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*k**2 - k**2 + 3*k**2 + (2*k - 4*k - 2*k)*(2 - 2 - k) + (0 + 3*k**2 + 0)*(168 - 252 + 346) in the form o + d*k + j*k**2 and give j.\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -104*z**4 + 129771*z**3 - 138896503*z.\nAnswer: -1248*z**2 + 778626*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -201 (base 4) to base 5\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 39  (c) -3  (d) 13  (e) 0.5  (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -n - 20, 2*n - a - 157372 = -157379 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d**2 - 4*d + 4. Let u be s(2). Solve -u*l = -2*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -81 + 86. Suppose 0 = -5*k + 45 - b. Suppose k = -6*v + 32. Solve 2*j = -2*j - 5*f - 26, -v*f = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 41132 + 312?\nAnswer: 41444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108 and 26217?\nAnswer: 104868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t**3 - 44*t**3 + 49*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 546 less than 547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.119666+-1\nAnswer: -0.880334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-27)*3015\/(-4355)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + -565655?\nAnswer: -565650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oze when three letters picked without replacement from zeeo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-1)*50*(-162)\/(-179550)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 229 - 211.7. Let i = 10.4 - y. Let x = i - 12. Round x to zero decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**0)**5)**38)**(2\/25) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 2 - 30*w - 7 - 2.\nAnswer: -30*w - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hllh when four letters picked without replacement from {l: 4, h: 16}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-22)\/(-6))\/((-6)\/20532204*7). Let u = -1007494 - s. What is u rounded to the nearest ten thousand?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q - 4. Let j be l(0). Let s be (6\/j)\/(3\/(-6)). What is the third derivative of 0*w**3 + 2*w**2 + 0*w**s + 2*w**5 wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w. Let g(f) = -2273*f + 102 + 15*f**2 + 2275*f - 39*f**2 + 19*f**2. Calculate g(o(u)).\nAnswer: -5*u**2 + 2*u + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6782, -13711, -20640, -27569, -34498?\n\"Answer: -6929*k + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3046715 millilitres to litres.\nAnswer: 0.0003046715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 333*h**2 + 690*h - 339313. Calculate y(332).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 270389 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 15047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -r - 13*r**2 + 2*r + 9*r + 0*r**2 wrt r.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000058241 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/1734 and 23\/646?\nAnswer: 32946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1041*i**2 - 7239 + 7239)*(4 - 1 - 1) to y*i**2 + z*i + o and give y.\nAnswer: 2082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1438 - 3982 - 594 - 2000)*(x**3 + 4*x**3 - 3*x**3) + (-3*x**2 + 2*x**2 + 3*x**2)*(-2*x - 2 + 2).\nAnswer: -10280*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/15)\/(8\/(-10))*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 15) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3 - 0. Which is the smallest value?  (a) -4  (b) i  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20957399 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -14650, -16220, -20488, -28804, -42518, -62980?\n\"Answer: -225*l**3 + l**2 + 2*l - 14428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 + 26 + 26 - 17587*g - 70.\nAnswer: -17587*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -0*l - 2*l. Is (-108)\/(-16) + l\/8 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -376.90218 + -0.14782. Let m = u + 377. Let o be 1 + (-9)\/7 + 0. Which is the nearest to -0.3?  (a) o  (b) 2\/11  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 70\/(-49)*-28*(-5)\/(-50)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-11)\/(p*p**23*p) assuming p is positive.\nAnswer: p**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cncnnnnnnn. What is prob of sequence cnnc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1419 and 1032?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*((-15)\/6 + 4). Let p = 16 + h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1775 (base 9) to base 5\nAnswer: -20424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - h - 33. Let b(g) = -g**3 + 11*g**2 + g + 5. What is the smallest common multiple of 26 and b(h)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7049 + 7034. Is h at most as big as -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 757 = o, -4*d + o = 3*o - 996. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.043248957 rounded to four dps?\nAnswer: 3.0432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -281*a**2*t - a*y - 2*t*y + 263*t wrt a?\nAnswer: -562*a*t - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = -3*v + 18, -32*d + 29*d - 2*v = 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 + 4*w. Let g be 208\/(-130)*5\/2. Let m(n) be the second derivative of -n**5\/2 + 15*n**3\/2 - n. Calculate g*m(p) + 45*a(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -18102*d + 15 + 18056*d - 15. Let h(k) be the second derivative of -k**3\/3 + k. Give h(v(r)).\nAnswer: 92*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7\/28 - (-54)\/8. Let f(c) = -33*c + 236. Calculate the lowest common multiple of f(g) and 726.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 247, 1, 12\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 8267995, 16535994, 24803993, 33071992?\n\"Answer: 8267999*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y + 2. Suppose -5*z = -5*v - 30, v + 0*z + 3 = -2*z. Let m(q) = -q - 5. Let d be m(v). Suppose -3*h + 9 = -d*p + p, -2*h = p - 6. Determine c(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13884241 to the nearest integer?\nAnswer: 3726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -8*b + 277. Let d be o(-17). What is the greatest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 646145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2412077, -4824152, -7236225, -9648296, -12060365, -14472432, -16884497?\nAnswer: -19296560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -7*o**2 - 5*o. Let v be (-5)\/(-2) + 3\/6. Suppose x = g, 5*x + v*g = -0*g. Let u(k) = 0 + x - 4*k - 6*k**2. Determine -4*d(h) + 5*u(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*a - 88 = 78*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(45)*-2*5 - (sqrt(45) - sqrt(135)\/sqrt(3))*-6)*-4)\/(((sqrt(99) + 2*sqrt(99) + sqrt(99))*5)\/(sqrt(33)\/sqrt(3)*1)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 853255378?\nAnswer: 2, 426627689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -8*u**2 - 16*u + 4. Let v(y) = 7*y**2 + 16*y - 3. Let l(q) = -3*b(q) - 4*v(q). Factor l(j).\nAnswer: -4*j*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**3 - 2*v - 8. Let h(m) = -1 - 4 + 4. Calculate 6*h(x) - i(x).\nAnswer: 2*x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.35 - 0.05. Let t = -4.4 - j. Let y be -11 + 8 - 0*(-2)\/(-4). Which is the second biggest value?  (a) y  (b) 5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 31 - 25 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2099 + 51)*(-290)\/44 - 12\/66. What is the highest common factor of x and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*p**4\/19 - 674*p**3\/19 - 756*p**2\/19 + 776*p\/19 - 112\/19 = 0.\nAnswer: -14, -2, 2\/11, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 142294223 to the nearest integer?\nAnswer: 11929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -666 - 4?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00013632 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 54.5358 tonnes?\nAnswer: 54535800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 210112 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 3*i**2 - 5*i - 5*i + 4*i = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4641, 4638, 4633, 4626?\n\"Answer: -t**2 + 4642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -23, -2, 2, 1, -159 in decreasing order.\nAnswer: 4, 2, 1, -2, -23, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does -437378\/17 = -25729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 18*f + 27. Let w be q(-8). Let l = -109 - w. Solve -2 = -2*u + l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*38129\nAnswer: 190645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 6:51 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrrh when four letters picked without replacement from rhrr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c**(2\/7)*c*c)\/c)\/c)**(2\/99)*c\/((c\/c**(-5))\/c)*c**4)\/((c**(7\/4)\/c**(-1\/9))\/(((c\/(c*c**(-2)\/c*c))\/c)\/c)**(-32)) assuming c is positive.\nAnswer: c**(-5087\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2\/5)*h)**(25\/3)\/((h\/((h**(-10)*h)\/h))\/h)**43)**(5\/6) assuming h is positive.\nAnswer: h**(-2125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 - 3 - -32) + 2. Suppose 0*i = -5*i + 3*j + 120, 0 = -i + 3*j + b. What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8414 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1285 = -271*t + 6574 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(396) - -3*sqrt(396)) + -1)*-5*-1)**2.\nAnswer: -1200*sqrt(11) + 158425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + p = 17, -4*p - 72 = 3*d - 52 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -120604748, -241209496, -361814242, -482418986, -603023728?\n\"Answer: m**2 - 120604751*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*c + 197*c**3 - 5 - 65*c**3 - 63*c**3 + 32 - 66*c**3 as p*c**2 + q*c + z + x*c**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 0*r**3 + 4*r**3. Suppose -4*s = -u - 5, 0*u - 4 = 3*u - s. Let v be d(u). Let x(t) = t + 5. Calculate x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = -29*h - 36. Put 50, 1, -3, h in increasing order.\nAnswer: -3, h, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 79644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(2*u - 2*u + u + (-3*u + 3*u - u)*(-1 + 0 + 0))*(-23 + 14 + 5).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 2. Suppose -s*o + 3 = o, -t = -3*o + 1. What is the derivative of 10 + 106*y - 106*y - 5*y**2 - t wrt y?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57883094107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, 11, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2784\/(-1740)*5\/4. Let p(c) = -10*c - 3. What is p(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -5*c - 3 + 13*c - 5*c - 8. Let i be y(7). Suppose 2*u = -3*v + 10, v - 2*u - i = -6*u. Solve 0*o = -v*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 25495.053ms?\nAnswer: 0.42491755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6550*(-33)\/(-22) + -12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 21764 and -1718.147.\nAnswer: 20045.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**3 + 4*x - 1. Let v(f) = -5*f**3 + f - 3. Let l(z) = -4*z**3 - 2. Let a(i) = -4*l(i) + 3*v(i). Give 3*a(h) - 2*p(h).\nAnswer: -h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (12 - 6 + 4)*(-278*x**2 + 1275 - 1275) as w + r*x**2 + f*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 85152, 340606, 766362, 1362420, 2128780, 3065442?\n\"Answer: 85151*q**2 + q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y**3 + 42*y**2 + 53*y - 200. Let v be l(22). Put -357, 5, v in increasing order.\nAnswer: -357, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**3 + 3*o**2 - 3*o + 164. Let h(p) = 2*p**3 - 4*p**2 + 4*p - 164. Give -3*h(l) - 4*q(l).\nAnswer: 2*l**3 - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/(-4))\/(3\/6). Suppose -4*s = -n*s. Solve 5*f + c = 20 - 3, -4*f - 3*c + 18 = s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of -1\/120*b**6 - 1\/20*b**5 + 0 + 0*b + 1\/6*b**3 - 13*b**2 + 1\/24*b**4. Calculate a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3 = 0, 3*n - 1 + 16 = -5*d. Suppose x - 2620 - 1953 = n. Let f = 50266\/11 - x. Find the common denominator of f and 5\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33384 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - 2) + -15 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2198 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4498 = j + 3*z, -5*j - z + 12328 = -10106. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/10 - (-64)\/(-20). Let i be w*(-2)\/(-3) - -2. Let h be 2\/(-10)*10\/4. What is the third biggest value in 3, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2304 * -0.2.\nAnswer: 460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10914 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -2*d - 6 + 4, -5*w + 4*d = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 54*q = 55*q - 68, -g - 3*q = -8. Solve -2*d - 3*d = -y - 2, d = 5*y - g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 53 and 1431?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-11.5.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14\/5*s**2 + 0 - 2\/5*s**3 - 12\/5*s.\nAnswer: -2*s*(s + 1)*(s + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 1\/10*a**4 + 48\/5 - 7\/5*a**3 - 68\/5*a + 34\/5*a**2 = 0.\nAnswer: 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 divided by -22?\nAnswer: 19\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -3*w**2 - 7. Let p(g) = g**2 + 2. Give -7*p(o) - 2*s(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + 1. Calculate the smallest common multiple of a and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {r: 9, m: 3, b: 4}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvmmvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -71559 (base 15) in base 8?\nAnswer: -1275057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 3)*(-3 + 3 - o)*(4 + 5 - 4).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 900.9941 litres to millilitres.\nAnswer: 900994.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 12*u - 16. Let p(x) = -x + 1. Let o(c) = -k(c) - 16*p(c). Suppose 0 = -2*n + 6, -4*y + 5530 = n + 835. Let q(r) = 1173 - y + r**2. What is o(q(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/5)*b)\/(b*b\/(b**(-7\/4)\/b)*b) assuming b is positive.\nAnswer: b**(-99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 8776555.78+0.41\nAnswer: 8776556.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1417 is divided by 419.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -14*p. Let f(h) be the second derivative of -105*h**4\/4 + 2655*h. Calculate f(r(l)).\nAnswer: -61740*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-67)\/(-3) - 4\/(-6). Find the second derivative of -i*p**4 + p - 5*p**5 + 23*p**4 wrt p.\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 - w - 3. Let n be u(0). Let c(h) = -h**3 + 3*h + 2. Let o be c(n). List the prime factors of ((-32)\/(-10))\/(8\/o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -92.6.\nAnswer: 277.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-35) - 9\/63. Let b = 5.08 - 0.08. Let o = -2 + b. What is the second biggest value in o, i, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -6*d**2 + d + 1. Let u be x(-1). Sort 5, -4, u.\nAnswer: u, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5726227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 185416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 110 = -5*i, 14*p = -2*i + 12 - 56 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 26 + 16 = 0. Suppose -r*o - 109 = 5*l - 31, 0 = -2*o - 8. Let t = 81 + l. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -414 and 1285\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7897600 divided by -16.\nAnswer: -493600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2*x**2 + x + 18. Is o(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85147281.\nAnswer: 3, 137, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -15. Suppose 81 = 5*y - f*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -82551, -165095, -247639, -330183?\n\"Answer: -82544*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2992795.\nAnswer: 5, 13, 41, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1474*y - 1465*y = -2933*y - 846. What is the remainder when 11842 is divided by y?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 974808 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 697, 616, 355, -188, -1115, -2528?\nAnswer: -4529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -105410544 (base 6) to base 14\nAnswer: -389008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32312 is divided by 47?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 37*u**3 + u**2 - u. Let z(l) = 258*l**3 + 4322*l**2 - 5*l. Let o(t) = -5*q(t) + z(t). Find the third derivative of o(h) wrt h.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1082, 2157, 3234, 4313?\nAnswer: 5394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156\/19500*-25*2*(-11)\/(-2).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 1313?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -569*d + 570*d + 22 - 16 + 45.\nAnswer: d + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of d**5\/100 - d**4\/30 + 7*d. Factor x(y).\nAnswer: y**2*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (36\/(-144))\/(((-21)\/12 - 1) + 2). What is the fifth smallest value in j, -1\/5, 3\/8, -8\/7, -9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -h + 4, 0*h - 10 = -h - 5*a. Suppose -3*o - s = 2*s + 3, -4*o - 2*s + 2 = h. What is the remainder when 4 is divided by 3 + (-2 + 2)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.700047 rounded to 1 decimal place?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 2:52 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 2*k**5\/7 + 6*k**4 + 206*k**3\/7 + 414*k**2\/7 + 368*k\/7 + 120\/7 = 0.\nAnswer: -15, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -777*t - 1525 - 3137 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -110 - -676. Let x = 540.7 - t. What is x rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -12*c - 2. What is the smallest common multiple of r(-2) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136aa6 (base 11) in base 2?\nAnswer: 110100010100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from bbff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**2 - 254030*z - 16132810225 = 0. What is z?\nAnswer: -127015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 620355 - -54?\nAnswer: 620442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 4*q - 4*f = -10, -4*q - 5*f + 40 = 0. Let o = q - 4. Solve o = -3*a - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-6*-2*sqrt(119) - -3*1*sqrt(119))*3)\/(-4*((sqrt(343) - 3*sqrt(343)*2) + sqrt(343))))**2.\nAnswer: 34425\/12544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9486 - 9481. Let b(x) be the third derivative of 1\/20*x**f + 0*x**4 - 2\/3*x**3 + 27*x**2 + 0 - 1\/120*x**6 + 0*x. Let b(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eepp when four letters picked without replacement from kereerereeeereeeprsr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 16\/80 + -1 + 123\/120. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 4*v + 12 = 0. Suppose -4 = 2*t + l, -3*t + v*l = -0*l - 3. Sort t, -14, 0.\nAnswer: -14, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-3))\/(6\/18). Let r be (5 + -4)\/(u\/4). Factor -2*z**3 + 2*z**2 + 0*z**3 + r - 2.\nAnswer: -2*z**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/75*-12)\/(6\/2850*10).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/238 and 66\/35.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.14839 nanometers in millimeters?\nAnswer: 0.00004714839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*c + c + 0*c)*(-1 - 1 + 3)*(1 - 5 + 3).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*h, 17*h + 37 = 3*m + 22*h. Let x(q) = 11*q + 23*q**2 - 3 + m + 9 + 6 + 16. Let z(t) = 8*t**2 + 4*t + 11. What is 6*x(n) - 17*z(n)?\nAnswer: 2*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4322\/9 - 480. Let n = 1969.8 - 1970. Let z be 0*2\/(-4) + 8. Which is the closest to z?  (a) -1\/3  (b) n  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 20*l + 165. Let p be w(4). Calculate the greatest common divisor of p and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-10))\/((-17518)\/2305).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 - 5*b**2 + 5*b - 14. Let f be l(-6). Sort 5, f, 2, -3, -1.\nAnswer: f, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 5. Let u(h) be the first derivative of -3\/5*h**s - 1\/5*h**3 - 3 + 0*h + 3\/20*h**4. Factor u(n).\nAnswer: 3*n*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zekzqeveee. Give prob of picking 1 e and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2291*i - 6. Let q(y) = y. Let h(r) = o(r) + 6*q(r). Let t be h(2). Let u = t + -59788. Round u to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c - 3. Let r(w) = -w + 2. Let d(m) = 4*j(m) + 3*r(m). Let i be d(11). Suppose -i*s + 17 = 7. Calculate the lowest common multiple of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 7*h**3 + 3*h**2 + 2 - 5*h - 6*h**3 + 4*h**2 - 3*h**2. Let c be y(-5). What is the third derivative of -9*v**c + v**2 + v**5 + v**5 + 3*v**5 wrt v?\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88299008.\nAnswer: 2, 7, 71, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 5*a = 8*a, 15 = -3*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**4 - 6991824*i**3 + 3055923453712*i**2 - 501030416156928*i + 20540319709275136.\nAnswer: 4*(i - 873896)**2*(i - 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5514 divided by -8?\nAnswer: -2757\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*c = 17*c. Is 2\/497 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44990*m**2 + 30*m + 220?\nAnswer: 89980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-5) - (-922)\/(-40). Let t = l - -24. Which is the biggest value?  (a) 1  (b) -1\/4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -388*m + 6153. What is x(17)?\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-7279)\/7)\/((-30)\/35). Let b = g + -1209. Let q = 105 - 335\/3. Find the common denominator of q and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2021645*g - 21077112.\nAnswer: 2021645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/(sqrt(128) + (sqrt(128) - (3*sqrt(128) + sqrt(128)))) + (2*(1*sqrt(55) - sqrt(55)))\/sqrt(5))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7552 + 7552. Solve 0*d + 2 = -d + 3*x, k = -d - 3*x + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -509*d**4 - 2*d**3 - 70*d**2 + 212?\nAnswer: -12216*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/6 + 76\/184.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 7*v = -10*v - 423, 3*l - 612 = -3*v. Let f = l + -206. Is f > 2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/2*(-14 - (-5490)\/360)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 1 - 7. Solve -5*b = -25, b - 8 = l*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2249*f + 143. Let s(t) = 750*t - 52. Give -4*n(c) - 11*s(c).\nAnswer: 746*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**2 - 2*i + 2*i + 3*i**2 - 4*i**2 - i**2 + 5 - 5 + 2*i**2 + (i**2 + i - i)*(1 + 0 + 0) + 2*i**2 + 0*i**2 - i**2 + (29 - 29 - 3*i)*(2*i - 6*i + 3*i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -501*f - 78 = 1754 + 673 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 123 - -27. Let t = 216 - x. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, h: 5, r: 2}. Give prob of picking 4 h.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/2)\/((-3)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 254 - 252. Solve -24 = -l*o + 10*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.2 * -54232\nAnswer: 227774.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5\/2)\/((135\/(-12))\/(-9)). Solve -4 = 4*c - l, -13*c + 15*c + 8 = z*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -6*v. Let b(j) = -27*j - 116. Calculate y(b(a)).\nAnswer: 162*a + 696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -805 + 38. Let c = z + 6149\/8. Which is greater: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -10734, -21477, -32220?\n\"Answer: -10743*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -5, -7, 39, 13 in decreasing order.\nAnswer: 39, 13, 3, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -4*t**2 - 3666*t - 32665. Determine c(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 249047?\nAnswer: 37, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y. Let p(a) be the second derivative of a**4\/12 - 10*a. What is f(p(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -21704878 divided by 15751?\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of -17*f**3\/3 - 7*f**2 - 25*f. Let z(t) = -7*t - 3. Let u(h) = -6*a(h) + 28*z(h). Let o(s) = -s. What is o(u(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1300, -1331, -1364, -1399, -1436?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 + 15*y**2 - 17*y + 45. Let d = -244 - -258. Let f be p(d). Solve 3*z - 20 = 5*h, z + f*h = 5*h + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + k = -i + 7*k, -10*k + 24*k = -12*i - 150 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) - (0 + sqrt(75) + 3)) + 5 + -2 - ((sqrt(3) + sqrt(3) + 0)*5*1 + (sqrt(33)*1)\/sqrt(11) + 5))**2.\nAnswer: 110*sqrt(3) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9261)\/(-126) - 93)\/(6\/(-28)*-1)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*b**3 + 7*b**4 + 3*b**2 - 6*b**3 + 6*b**3 + b**4 - 2 + 2*b to k*b**2 + n*b + r + u*b**3 + c*b**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1270 + 1379. Calculate the remainder when 337 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3789, -3477, -2627, -969, 1767?\n\"Answer: 45*g**3 - g**2 - 3833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(0 + (((1*sqrt(10))\/sqrt(2) - -1*sqrt(5)*2)**2 + -3)*-5*-5).\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 165 - 163. What is the third derivative of 173*u**5 + 5*u**2 + 26*u**2 - 12*u**n wrt u?\nAnswer: 10380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-5)\/v)\/v**(-7)*(v**24*v)\/((v**(-1)*v*v)\/v) assuming v is positive.\nAnswer: v**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/8, -2\/7, -3, -73.3 in decreasing order.\nAnswer: 1\/8, -2\/7, -3, -73.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*m + 22, -4*d + 3*m = -d - 21. What is the third biggest value in 5, 0.29, d?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i. Suppose 64 = -5*b - 26. Let l(p) = p**3 + 19*p**2 + 19*p + 22. Let z be l(b). Let j(x) = -14*x**2 - 2*x**2 - z*x**2 + 6*x**2. What is j(h(r))?\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -5. Let y = -0.521 + -2.469. Let p = y + -0.01. What is the second biggest value in k, 2\/7, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 188*b**3 + 105042*b + 4*b**2 - 105048*b - 4*b**2 + 67.\nAnswer: 188*b**3 - 6*b + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(-1)\/3*(-45)\/6. Let l(o) = -p*o + 2*o + 7*o. Let d(c) be the first derivative of -10*c**3\/3 + 37. Determine d(l(x)).\nAnswer: -160*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 15 - (2 - -24 - 19).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6014598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 + -4)*40\/(-12). Let l = -20 + 48. Is l smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 21 = b. Solve 0*y = 3*y + b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46 divided by -750531.\nAnswer: -46\/750531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -150 + 150 + 64*g - 11*g.\nAnswer: 53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*g - 25 = 24*g. Is ((-1405)\/g + 4)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 + z + 3. Let g be -1*(-1 - (-1 - 0)). Let w be s(g). What is the first derivative of -o**4 + 5 - w + 3*o**4 wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 295900082 and 1954?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*m - 4*d - 6446 = -24*m, -3226 = -m - d. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1994 + -1975. Solve -2*k + 6*k - 3*c - 1 = 0, -5*k = 3*c + x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 5*g + 20 = 0, 2*x + 4*g = -0*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = 3*m + 12, y - m = -121 + 119 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 44266 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1699365353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -318, -319, -320, -321, -322, -323?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -6*a - 52. Let g be 60\/6*(-1 - 0). Give b(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -244 = v - 20*v - 700 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -757*y**3 - 4*y**2 + 477*y + 81014340 wrt y.\nAnswer: -2271*y**2 - 8*y + 477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/6, 0.23, 3.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of -o**4\/4 + 10*o**3\/3 + 12*o**2 + 12*o - 115. Let b be w(12). Let f(s) = -s**2 + 9*s + 16. Give f(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*f + 9 = -35*f - 191 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 6*c**2. Suppose -9 = -4*p + 3. Let o(w) = 2*w - 4*w + p*w. Calculate o(t(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 145 and 16795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2278, 2127, 1912, 1633, 1290, 883, 412?\n\"Answer: -32*k**2 - 55*k + 2365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139087*a + 139127*a + 352 + 528 = 0 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -1 + sqrt(1053) - sqrt(1053))**2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2*-1 + -9 + 11 + 2. Is (0 - -1)*(5193 + (s - 4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/7461 - 1469809\/29844. Let a = p - -1717\/36. Calculate the common denominator of a and 426\/126 + 4\/(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -140 - -2524260?\nAnswer: 2524120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3101 and 354843?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 180*f**2 - 129*f + 894. What is the hundreds digit of m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95, -182, -295, -446, -647?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 5)*((-8)\/(-42))\/2. Which is the nearest to 3?  (a) 0.3  (b) 1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*q + 34*q - 99*q + 28*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-41)\/c)\/c)\/c*c*c)\/c**(2\/7)*c**(-3)\/(c*(c\/(c\/c**(-14)))\/c*c) assuming c is positive.\nAnswer: c**(-226\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/6 + 35\/(-15). Let i = 0.4 + 0.1. Let y = i - 0.3. Which is the smallest value?  (a) -1  (b) y  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 21366425418 and 4.1.\nAnswer: 21366425422.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 2:30 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6338832?\nAnswer: 2, 3, 132059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*(-5 + 3*sqrt(405))*-1)**2 + -4 + -2.\nAnswer: -1080*sqrt(5) + 14674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1233 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*r = -12*r - 4. Suppose v - 1 = -a + 1, -a - 28 = -r*v. Suppose -u - v*u = -24647. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2079962 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -179, -149, -109, -59, 1, 71, 151?\n\"Answer: 5*h**2 + 15*h - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 41019 and 89661?\nAnswer: 10131693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f**2 + 7*f**2 + 6*f**2 + f**2. Let r(l) = -15*l**2. Calculate a(r(t)).\nAnswer: 2700*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 658969 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 6*o**2 - 7*o + 2. Let h be w(-7). Let i = h - -10. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21431240 divided by -2?\nAnswer: 10715620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54154.\nAnswer: 2, 27077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9336525 and 3395100?\nAnswer: 37346100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k**2 + 46*k. Let j(t) = -3*t**2 + 47*t. Suppose -22*z + 21*z - 16 = -2*x, -20 = 3*x + 4*z. Give x*c(n) - 3*j(n).\nAnswer: n**2 + 43*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2. Let m(a) be the third derivative of a**5\/30 + 2*a**4\/3 - a**2 - 1. Let j(b) = -g(b) + m(b). Factor j(s).\nAnswer: s*(s + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 22\/(-6) - 74\/(-111). Put -7, 2, -4, m in descending order.\nAnswer: 2, m, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 94 + 201. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -n**3\/6 + 508*n. Let v(w) = 9*w**2 - 23*w. What is v(r(g))?\nAnswer: 9*g**2 + 23*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 912 and 1050936?\nAnswer: 39935568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 181*d**2 + 15*d - 7. Is p(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1000 - -1301101030?\nAnswer: 1301102030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + -10 + 6 + (161 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v + 1. Let y be h(1). Suppose 0 = 3*f - 2*f - 5*k - y, -k - 3 = -f. Suppose -f*d + 11 + 13 = 0. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2595801, 5191571, 7787343, 10383117, 12978893, 15574671, 18170451?\nAnswer: 20766233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence an when two letters picked without replacement from naaammmnaaam?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 32279.33405 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**3 + 12*d**2 - 8*d - 12. Let j = 14091 - 14086. What is h(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o + 1. What is l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1660 is divided by 545.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -254*f + 249*f + 160. Calculate the remainder when 43 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4169 or 354?\nAnswer: -4169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0161 - 2.0161. Which is the third biggest value?  (a) o  (b) -1  (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 2:01 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in -39, 2, -1693?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus -0.09788163294?\nAnswer: 0.19788163294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2831 - -2841. Suppose 0 = -4*o + 3*d + 33, o = -4*o - 3*d + 48. Let u be 6\/(-27) - 16\/o. Put r, u, 2 in descending order.\nAnswer: r, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {h: 1, b: 1, j: 8, i: 4, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q - 3. Let z = 433 + -438. Determine a(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/(-10))\/((-5)\/(-250)). Let p = 29 + g. Solve -m - 24 = 4*b, m + 10 = -3*b - p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k - 2625 = -10815. Let d = 632 + k. Factor 3\/2*t - 3\/2*t**3 + 0 - 3\/4*t**d + 3\/4*t**4.\nAnswer: 3*t*(t - 2)*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1326653?\nAnswer: 1326653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 11342054 (base 6) to base 2\nAnswer: 1010110110011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0 = -q - 1, 0 = -5*q - 5*z + 25. Suppose l = 5*l - q. Suppose -6*i + 80 = -l*i. What is the least common multiple of i and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 33*w + 28*w = -15, 0 = -5*w + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-4\/19)*k*k*k)\/(k*(k\/(k\/(k\/(k**(-2\/17)*k))))\/k) assuming k is positive.\nAnswer: k**(1186\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4957917, -4957913, -4957911, -4957911?\n\"Answer: -o**2 + 7*o - 4957923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d - 1. Suppose 0 = -n + 6*n + 80. Let z = n + 29. Suppose -x + 2 = 0, -z = 4*q + x + 5. Determine t(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 189 - 4*v + 6*v**3 - 23 + v**2 + 3*v - 5*v**3. Suppose 0*m = 15*m - 3*m. What is the units digit of p(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 162*j + 1. Let q(b) = -3*b. Calculate 2*q(n) + v(n).\nAnswer: 156*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 47 + -27. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2612 - 2584. Suppose -258 = -5*m + 5*x + 172, -4*m - 4*x = -328. Calculate the highest common factor of a and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10367167 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -k + 120, 0 = -5*c - 4*k + 132 + 468. Let j = c + -119. Solve j = h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1049567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 151*x - 1241*x + 1096*x - 3 + 1.\nAnswer: 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195*u - 197*u - 2*q = -6370, 5*u - 3*q - 15909 = 0. Calculate the remainder when u is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3894 and -0.3.\nAnswer: 1168.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*n - 2*n + 44. Let j(o) be the third derivative of 0 + 0*o - 1\/24*o**n - 7\/6*o**3 - 3*o**2. What is j(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9926021 + 40177*c - 9926021 as q + y*c and give y.\nAnswer: 40177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -101, 23, 7, 1 in increasing order.\nAnswer: -101, 1, 6, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + 23 + 2 + 0. Let l be (-4)\/26 + (952\/104 - 7). Solve -2*v + l*p = 2*v + w, p = -5*v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78)*-1*1)\/((sqrt(18)*2)\/sqrt(3)) + 4*sqrt(91)\/(-5*(sqrt(63) - sqrt(7))) + -5.\nAnswer: -5 - 9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.07, 1\/2, -4, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 228\/20 + (-6)\/(-10). Let r = l - 8. Solve 4*w = -r*i + 24, 2*i = -3*w + 6*i - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7722920*i**4 + 5*i**2 - i - 36761.\nAnswer: 185350080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/(-176)*-536*-1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 13) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*((-84)\/(-30))\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, 152, -1\/4, 1\/7, -2\/7, -4\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/11 - (-22)\/121. Let w be (g\/(8\/(-2)))\/1. Suppose -c + 1817 = 4*s, w*s - 2*s + 907 = -c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -1. Let d(j) be the third derivative of -j**2 + 1\/3*j**3 + 0*j + 0 - 1\/12*j**4. Let w = -2756 - -2760. Determine w*x(z) + d(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 139 = -2*z, -2*x - x = -5*z - 394. Let o = -461\/6 - z. Let l = 9 - 9.1. What is the closest to l in -1\/3, o, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2, 44, 2\/7, 16\/67?\nAnswer: 16\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 + -2. Let h = -13 + 16. Suppose -h*m + 0 = -z. Solve 4*d - 4*q = 28, -m*d - 14 = 3*q + q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + -100001101111?\nAnswer: -100001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23449.20926 + 23449. What is g rounded to 3 dps?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(3\/2))**(-34))**(-24) assuming r is positive.\nAnswer: r**1224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 27, 47, 67, 87?\n\"Answer: 20*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -86 * -25.8.\nAnswer: 2218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 259*f**2 + 4*f - 5. List the prime factors of j(1).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*z**2 - 115*z**2 - 6*z + 6*z - 6*z**2.\nAnswer: -161*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -116, -249, -434, -671, -960, -1301?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16524562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 60*v**2 - 148*v + 1312. What is b(-57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((-2 + sqrt(1088)*-2 - ((5 + 1 + sqrt(1088) - sqrt(1088)) + sqrt(1088))) + 1 + (2*sqrt(1088)*6 - (-1 + sqrt(1088)*2))*-6)**2.\nAnswer: 13104*sqrt(17) + 4318436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11629*t**2 + 9624*t?\nAnswer: 23258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5916 and 349044.\nAnswer: 349044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -x**5\/180 + x**4\/12 - x**3\/2 + 3*x**2. Factor v(r).\nAnswer: -(r - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q**2 + 2*q**2 - 5*q**2)*(-4*q**2 - 1829*q + 3865*q - 1914*q) in the form h*q**4 + b*q + f*q**2 + i*q**3 + c and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -114 + 69 + (0 + 24 - 4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, d: 4, b: 8, o: 1}. Give prob of picking 1 n and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 65\/2 - 33. Let c = 23476\/7 - 3354. What is the smallest value in 1\/9, y, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/3287856 and 13\/1344.\nAnswer: 92059968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + (-1 - -4) - (-15 + 8 + 9). Solve -n*t + 18 = -5*d, -4*d = t - 10 + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of z**5\/60 + z**3\/3 + 13*z**2\/2 + 26*z + 2. Let h(l) be the second derivative of b(l). Let w(y) = 36*y. What is h(w(s))?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of -q**4\/12 + 9*q. Let i(r) = -3*r**2. What is i(y(w))?\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 963185 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 0*s**2 + 6*s**3 - 1 + 0 - s**2 + s. Let l = -55 + 64. Suppose 25*u = 16*u + l. What is c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 o, 1 f, and 1 z when four letters picked without replacement from {s: 1, u: 1, z: 1, f: 2, m: 1, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 - (-2211)\/(-6) - (-10)\/4. Calculate the common denominator of 2\/(-5)*5\/(-9) and (-8)\/(-960)*-2*l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44537, 89067, 133597, 178127, 222657?\nAnswer: 267187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 619 and 7.\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is bac + -6?\nAnswer: ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 80, 65, 50, 35, 20?\n\"Answer: -15*p + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 162.999747 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*p - 3*n, -2*n + 0*n = 4*p - 24. Suppose 0 = -5*y, -3*h + 3 = 3*y - 0*y. Suppose -2*v = -2, c - 4*v = h - p. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 23 = -4*z + 5, 2*z + 3*g = -6. Sort -15, z, 5.\nAnswer: -15, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((1235\/(-160) - -8)\/(12\/(-16)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n - 8. Let j be z(13). Suppose -5*l = -3*q + j*q - 68, 0 = -3*l - 5*q + 37. What is the remainder when 54 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(2\/3)\/t)**(-26))**(2\/5) assuming t is positive.\nAnswer: t**(-104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2248*j**3 + 12*j**2 - 12*j - 4. Let n(q) = -2246*q**3 - 15*q**2 + 15*q + 5. Determine -5*m(b) - 4*n(b).\nAnswer: -2256*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + (-3)\/(-2) - 52\/8. What is the third biggest value in q, 0.04, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 19 - -15) + -19 + 1 - 1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28183*w**3 - 28069*w**3 + 56246*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*m**5\/7 - 1938*m**4\/7 + 79330*m**3\/7 - 1234830*m**2\/7 + 830962*m - 101136 = 0 for m.\nAnswer: 1\/8, 8, 21, 43, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 4128, -11, 5, 4.\nAnswer: -11, -5, -3, 4, 5, 4128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*w**2 - 13 + 13 + 13*w**2 as x*w**2 + m + o*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.5 + 0.65. Let h = 0.35 - m. Which is the second biggest value?  (a) 0.3  (b) h  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25253031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61303423?\nAnswer: 43, 1425661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*q = 22, 4*m = -269*q + 264*q - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.15  (b) -1\/5  (c) 3\/14  (d) -364  (e) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 97 - 96. Let b be (41 - t)\/(14 - 5 - 7). Solve 2*y - 6 = j + 7*y, 0 = 4*j - 2*y - b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 368*j + 315*j + 309*j - 992*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/5)*f)**11)**2\/((f*f*f*f**12\/f)\/(f**(-2\/7)*f))**(-3\/10) assuming f is positive.\nAnswer: f**(487\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 949*d**4*u + 7*d**3*u - 2*d**2*u + 1205*d wrt d?\nAnswer: 22776*d*u + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 113150 divided by -73?\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -241*x**7\/70 - 349*x**3\/6 + 11*x**2 - 9. What is the first derivative of y(i) wrt i?\nAnswer: -2892*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12825 and 6550?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34866791 to the nearest integer?\nAnswer: 5905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of -u**3\/2 - 5*u**2\/2 - 4*u. Let s be t(-3). Solve 15 = -5*j - 4*l, -2*l + 0 - 12 = s*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 6*b**2. Let y be w(1). Let u(l) = l**3 - 4*l**2 - 15*l. Let m be u(y). Let c = -0.07 - -0.07. Are m and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2. Let x(s) = 1756*s**2. What is q(x(r))?\nAnswer: -3083536*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.7*8.85\nAnswer: -6.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 384 + -375. Let o be 3\/(-15) - 22\/(-10). Suppose -o*g + 2 = -10. Calculate the highest common factor of m and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 140, 227, 314?\n\"Answer: 87*m + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, 77, 3, 3\/4, -1\/4, -2?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 11*v**2 - 11*v. Let o(y) = -70*y. Calculate u(o(p)).\nAnswer: 53900*p**2 + 770*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-12))\/(48\/320*(-45)\/4).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -37 - -336. Let o = -303 + n. Sort -5, 2\/3, -2\/3, o in ascending order.\nAnswer: -5, o, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5866558147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 19454 + -5?\nAnswer: 19449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -6*p + 3*p - 33, -3*p - 48 = 4*s. Let i be 80\/6*(-36)\/s. Suppose -i = -0*x - 4*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, -97, -0.4, -7, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*k + 11173*k**2 + 11161*k**2 - 22322*k**2 - 7*k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - v**2 - 4*v + 4. Let f = 11 - 8. Let w be o(f). Let r(a) = -a. Let h(y) = -y**2 - 5*y. Give w*r(u) - 2*h(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/6 - 5\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/147)\/(1\/((-3)\/2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3677866941 a multiple of 12177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 762916577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gga when three letters picked without replacement from agvggvggagggvgggag?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 4*o - 6 - 1 = z + 45, -8 = -3*z + 4*o - 61 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirty-seven halves of a day?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -239861 times -0.8\nAnswer: 191888.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 14) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81267 is divided by 96?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -222500133 (base 6) in base 10?\nAnswer: -4051353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4317 and -0.06?\nAnswer: -259.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2496491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -25140.0991 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 PM and 11:23 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -166011003 >= -166011003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 36\/(-126) - (-9)\/7. Suppose -v + 3*v = 22. Calculate the highest common divisor of u and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/3, 1, 4, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -2. Let x = 10 - v. Let q(f) = 18*f**2 + 2*f - 2. Let n be q(1). Solve -x*h = 4*a + h + n, 5*a - 2*h = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 4:51 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 AM and 5:19 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225839 is divided by 6450.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oggoggg. Give prob of sequence oggo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*n**2 - 3 - 291*n**2 + 3 + 22*n**2 - 219*n**2.\nAnswer: -432*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 4. Let b be ((-6)\/x)\/((-9)\/48). Let z = 3 + b. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -3*y. Suppose y*p + 15 = 5*p. Suppose -f = -2*m - 7600000, m + 22800000 = p*f + 4*m. What is f rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3106 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 129650172, 129650173, 129650174?\nAnswer: 129650175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lwws. What is prob of sequence ls?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14016 is divided by 326?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 698689*t**2 + 126*t - t**3 - 1 - 698689*t**2 + t**4 as q*t**2 + a*t**3 + x*t**4 + i*t + j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3233 + 4783. What is the greatest common factor of d and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15953 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -8*x. Let a be k(1). Let i = 676 - 4721\/7. Find the common denominator of i and (-4)\/7*68\/a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 467\/7 + -8065\/119. Is 0 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -16*o - 142. Calculate the remainder when f(-15) is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of -s**2\/2 + s - 30. Let u(v) = v + 6. Let h be u(-10). Let g be b(h). Solve c = -g*t - 10, -3*c = -6*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/3)\/(i*i**(-5\/7)*i))\/(((i\/((i*i**2*i)\/i))\/i)\/i)**14)**1 assuming i is positive.\nAnswer: i**(1135\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/((-56)\/77)*(65 - (3 - 4)). What is the greatest common factor of 627 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiuippqiq. What is prob of sequence ipp?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 98433.41 minutes?\nAnswer: 5906004600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3853, 3852, 3853, 3856, 3861, 3868?\nAnswer: 3877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the third derivative of j**5\/60 + j**4\/4 - 2*j**3\/3 + 11*j**2. Determine i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 280 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -26, 5, -1209?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.071095605 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -754589 (base 11) in base 12?\nAnswer: -4a2310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g - 10*g - 8*g + 0*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 360 - -213. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3500 plus 1.316?\nAnswer: -3498.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2068 and 2444?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 875 and 11783275?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 49\/7435293?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(0 + -1)*(-3)\/(-6). Let w = 51\/7 - 146\/21. What is the closest to w in -3, 51, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 7:49 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 747 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -345*q + 107*q - 38 + 129*q + 113*q. Give n(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-20)\/15)\/(4\/(-30)). Let n = -18 + 28. What is the highest common factor of x and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -2*q - 14. Let z = -2 - q. Suppose -4*t + 14 = 5*s, 2*s - 1 = t + 2*t. Solve 0 = -5*r + 20, z*p - 6 = -s*r + 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 5*c**2 + 33*c - 15. Is o(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 12) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b3a (base 12) in base 3?\nAnswer: -11121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -15*l - 55. Does 8 divide c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 AM and 5:26 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -5*x**2 - 5*x + 9. Let f(q) = q**2 + q - 2. Let a(m) = 9*f(m) + 2*l(m). Suppose d + 2 = 5. Suppose 0 = i - d*b, i - 2*b = -i. Give a(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -4*u**3 - 2*u**2 - 4*u - 3. Let v be x(-1). Let f be ((-13)\/(-2))\/(2\/4). Suppose 5*k - f = -2*r, 0 = -4*r - 3*k - k + 32. Solve 3*b + v = -r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.03 + 0.07. Let p = -183 + 149. Let h = p + 40. Which is the nearest to 0?  (a) h  (b) s  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3401322 (base 5) to base 11\nAnswer: -40850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.0295, -2\/2461, -3?\nAnswer: 0.0295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1090 or 1088?\nAnswer: 1090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 5*v. Let x(m) = -19*m**2 - 6*m - 6. Let q(a) = 36*a**2 + 11*a + 11. Let w(t) = -6*q(t) - 11*x(t). Determine w(b(p)).\nAnswer: -175*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 199 plus 93225.07989?\nAnswer: 93424.07989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2757538579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((12\/20)\/1) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -263*s + 15523. Give y(59).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*sqrt(117))\/(sqrt(18)\/(sqrt(2)*-4))*-1.\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3*f**2 + 4. Suppose -3*i - 12 = -3. Is t(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*p**3*s**2 + 1420*p**3*s - 6*p**3 - 76068*p**2*s**2 - 3*p*s - 10*p + 1 wrt s?\nAnswer: 10*p**3 - 152136*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 2 + -10 + (17 - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 118 and 17351.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 + 776\/12)\/((-1)\/3). Let z be 1\/4 - (-2214)\/8. Let b = n + z. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.4 and -61295146829.\nAnswer: -61295146828.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3447740927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25894, 25912, 25932, 25954, 25978, 26004?\nAnswer: 26032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1)**47 assuming s is positive.\nAnswer: s**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 62436482 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Round -151790 to the nearest 1000.\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25.9 or 0.0714?\nAnswer: -25.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of -3*p**2\/2 - 24*p + 14. Let b be k(-11). Let s = 37 + b. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -8. Suppose 0 = -0*f - k*f + 9. Suppose 20 = f*b - 4. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 3*q = 18, -7*u + 3*u + q + 10 = 0. Let m(h) = -3*h**2 - 5*h - 3 - 2*h**2 + 5 + 7*h**2. Give m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53057 divided by 32.\nAnswer: -53057\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00082 to 5 dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 + 4. Let m = 19.1 + l. Put -0.11, 1, m in ascending order.\nAnswer: -0.11, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 64161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 100406, 401581, 903538, 1606277, 2509798, 3614101, 4919186?\nAnswer: 6425053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + -2 - 3) + 2. Let l = -0.1 + 0.2. What is the biggest value in 0.07, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qhspd. What is prob of picking 1 d and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(6*(2 + sqrt(68)\/(sqrt(24)\/(sqrt(42)\/sqrt(7)))))**2.\nAnswer: -3024 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 16 = -6*d + 2*d, 4*l + 21 = -d. Let k be (12\/9)\/l*9. Which is the nearest to 0.1?  (a) -4  (b) k  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 60\/(-50)*(-260)\/(-3). What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 14752300 and 14752301 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154 is divided by 91.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000039776 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 - -30. Let x = 112 - 57. Calculate the remainder when x is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4 = -8. Let v be (n - -5)*(16\/(-12))\/(-2). Suppose -v*g + 3*l = -3041, 0*l - 3*l = 15. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 87 + -89. Let x(d) = -2*d**3 - d**2 + d - 3. List the prime factors of x(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -i**4 - i**3 - 1014*i**2 - 1120*i wrt i?\nAnswer: -12*i**2 - 6*i - 2028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -8*b**2 + 7*b - 7. Let a(v) = -7*v**2 + 6*v - 6. Let u(j) = 7*a(j) - 6*d(j). Determine u(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -874 - q**2 + 3*q**2 - 5*q**2 + 261.\nAnswer: -3*q**2 - 613","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1139606 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kzzkzz. Give prob of picking 2 k and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22590 by 4518.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.029 in 2, -1, 4\/5, 1, 6, 67.6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -685, -742, -831, -952, -1105?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -942*h - 1. Let c(f) = 247*f. Determine l(c(q)).\nAnswer: -232674*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 27644*w + 1408. Let g be u(13). Round g to the nearest 1000.\nAnswer: 361000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 6*t = -3*x + 21, 5*t - 23 = -x. Let l be ((-566)\/6)\/(1\/x). Let a be l\/(-5) + 4\/10. What is the highest common divisor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -247 - -236.9. Let c = p + 10. What is the closest to c in 2, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 14) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8699*g**3 + 4339*g**3 + 5 + 4299*g**3)*(2*g + 3*g + 5*g) to the form u*g + y*g**3 + l*g**2 + s*g**4 + k and give s.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.08 in 223, -3, -103, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 6*l**2 + 17*l + 78. List the prime factors of p(30).\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138425777 a multiple of 10370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*p = -2*f + 12*p - 20, 6*f + 4*p + 50 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 509767 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -590, -589, -588?\n\"Answer: m - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 427970298.9951 + -426415477. Let s = -1554744 + v. Let f = s - 78. What is f rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (381\/(-1524) + (-163)\/20)\/(3 - (-42)\/(-15))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4290 divided by -1\nAnswer: 4290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 137006185 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**2 - n**4 - 2*n**2 + (-6*n**2 + 8*n**2 + 19*n**2)*(3*n + n**2 - 3*n) + 1 - n**4 - 1.\nAnswer: 19*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 3:26 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 - g + 1. Suppose 0 = -f - 2*u + 7, -3*f + 5*u + 10 = -0. Let c(y) = -6*y**2 + 5*y - 5. What is f*l(i) + c(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 7 + 4 + 54911997*g - 54912193*g.\nAnswer: -196*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99 + 58 + 88 + 3*p - 317 + 72.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7152*-15.1.\nAnswer: -107995.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10220020 (base 4) to base 16.\nAnswer: -4a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 5*p = 70, -4*p - 3 + 73 = 5*g. Suppose c + 5*f - 1 = 0, f = -c + g - 5. Suppose -2*y - 60 = -4*y. What is the remainder when y is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 - 3*r**2 - 4*r + 4. Let d(x) = 2*x**2 + 6*x - 6. What is the lowest common multiple of p(4) and d(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*z**3\/7 - 281*z**2 + 334*z - 360\/7 = 0 for z.\nAnswer: -180, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p - 44*p = -190 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -21*p**3 + 2*p**2 + 7*p + 4. Let y be z(-1). What is the closest to -0.1 in -1\/2, -5, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 23*o = 22*o + 2129, -p = 4*o - 551. List the prime factors of p.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26 + -25. Which is the smallest value?  (a) -0.3  (b) 1\/6  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 12*h**2 + 3*h - 16. Let o = -68 - -138. Let l = o - 58. Is 20 a factor of z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -138 - 2292. Suppose -p + 820 = 3*z, -p = -3*z - 4*p + s. Suppose r = -4*r + z. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 396335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 6*b - 3 = 0. Suppose -3*l - 6 = n - 0*l, 2*n = 4*l + 18. Put 1, b, n in decreasing order.\nAnswer: n, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3400 - -3396. What is the fifth biggest value in 3, 5, h, 1161, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 3 - 12 + 14 + 78*a to the form c + t*a and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p - 1. Determine b(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 3 + 4*l)*(1 + 3 - 3).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from {f: 2, g: 2, c: 8, s: 5}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 31 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -62377000 rounded to the nearest one hundred thousand?\nAnswer: -62400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198285 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 3. Let p = 1 - t. Let j = 389\/5 + -78. Which is the nearest to p?  (a) j  (b) -0.1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: c (base 14) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 59, 250, 569, 1016, 1591, 2294, 3125?\nAnswer: 4084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 4 - 1 = 0. Which is bigger: m or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(-175))\/((-1)\/(-7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5200518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2805089 is divided by 400718?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 - x + 18. Let g be y(0). Let h be (2\/(-6))\/((-3)\/g). Let d be (7 - 1)*(1 - (-12)\/(-9)). Put 4, h, d in increasing order.\nAnswer: d, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 39487655 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2595009 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -62 + 8*z + 1\/6*z**6 + 0*z**4 + 0*z**3 - 3\/2*z**2 + 2*z**5. What is the second derivative of q(a) wrt a?\nAnswer: 20*a**3 + 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**2 + 2*g**2 + 4*g**2 + (14*g + 0*g - 2*g)*(1 + 5 - 5 + 0 + 3 - 2 + (3 + 3 - 5)*(2 - 5 + 2))*(-5 - 2 + 4)*(-2*g + 3*g - 2*g).\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 10 and 337?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 5*f - 6. Let a be u(3). Does 20 divide 6727\/28 + 3\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -16343, -15 in decreasing order.\nAnswer: -5, -15, -16343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000518 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.982 + 0.018. Put -1\/3, l, 2\/19 in descending order.\nAnswer: l, 2\/19, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/3  (b) -44  (c) -4  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - o - 2*v = -5, -4*o = -4*v. Suppose 3*x - 4*x + 19 = 2*l, -2*l + 88 = 4*x. What is the remainder when x is divided by 1 + o\/(4\/44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3669551120 to the nearest integer?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, j: 1, v: 1, i: 1, f: 1, o: 2}. What is prob of picking 1 f and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -132367 + 132367 + 2788*m**2 to the form d + x*m + q*m**2 and give q.\nAnswer: 2788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v**2 - v + 4. Let z be w(-2). Let s be z\/(-4)*(-32)\/(-24). Let o(h) = 6*h**2 + 2*h**2 - 7*h**2 + s*h**2. Let q(u) = -2*u**2. Calculate o(q(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 7.92. Let v = 4.92 + d. Let s be (-4)\/10 + (-14)\/(-60). Sort s, v, -1.\nAnswer: -1, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.857 - -0.057. Let u = 4.7 + j. What is the closest to u in 0.1, 1\/8, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2821207826 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.002400446 - -0.0024. What is g rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/5*z**2 - 33\/5 - 36\/5*z.\nAnswer: -3*(z + 1)*(z + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -120.1006 - -6.6786. Let j = a + -0.828. Let o = 112 + j. What is o rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -223 - -211 - (-24 - -1) - (0 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 2319 = 5*c, -3*c + 12 = c. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 86798625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, z: 1, x: 4, h: 2, r: 6, k: 3}. Give prob of picking 1 z, 1 x, 1 k, and 1 h.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23525 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 473827\/2 <= 236914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, d: 3, i: 1, t: 4, z: 2, a: 2}. What is prob of picking 1 d and 1 a?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 589 + -587. Solve -3*z + 5*z + 6 = -l*t, -3 = -t - 4*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a9 (base 12) in base 16?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101111010 + 1?\nAnswer: 101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6893 = -5*b - 843. Suppose a + 4*o + 169 - b = 0, -4*a = 4*o - 4224. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 624 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 923 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -5*p**2 + 2355*p - 171500. Determine b(381).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of -n**3\/3 - 4*n**2 + 8*n. Let t(f) be the third derivative of -f**4\/24 - 5*f**3\/6 - f**2. Determine 5*d(a) - 8*t(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7396 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5210 + -3828. What is the lowest common multiple of q and 2?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u**3 + 29*u**3 + 7*u**3)*(u + 3*u - 20*u).\nAnswer: -656*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jwnadvjwwwvvvajawj. Give prob of sequence vj.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -3, -0.3, 2 in decreasing order.\nAnswer: 2, 2\/5, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1039 a factor of 1959554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/210*504\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**5\/4 - 42825*g**4\/4 - 611326875*g**3\/4 - 2908897046875*g**2\/4.\nAnswer: -g**2*(g + 14275)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 4*o + 3. Calculate m(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8  (b) 2  (c) 1  (d) -79  (e) -1.7  (f) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(684))**2 + -5.\nAnswer: 4099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -96 - -98. Let h(q) = 395*q - 2*q**t - 395*q. Let g(l) = -10*l - 4. What is h(g(f))?\nAnswer: -200*f**2 - 160*f - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 120, 58, -4, -60, -104, -130?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 5*n - 4*v = 32, 23 = n + 5*v. Let p(d) = -77*d + 21. Let q be p(3). Calculate the remainder when ((-4368)\/q)\/(-2*1\/(-5)) is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 0)\/(5 + -4)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9787.3 to the nearest ten.\nAnswer: -9790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-52)\/(-12) - 4 - 12\/63.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 702*r = -770*r - 119*r + 109779 for r.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1455.819ns in milliseconds?\nAnswer: 0.001455819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k\/k**(-1\/18)))\/(k*k*k**34*k*k)*(k\/k**(7\/5))**(-14\/3) assuming k is positive.\nAnswer: k**(-3347\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**3 + i**3 - i**4 + 5*i**4 - 3*i**4 - 4*i**4 + (0 - 2*i + 0)*(2*i**3 - 5 + 5) - 4*i**4 + i**4 + 9*i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 - 12. Suppose -19 = c + 4*c - i, o*c = -4*i - 24. Let d be 45\/(-6)*c\/6. Solve -5*u - b + d = -6*b, 5*u + 25 = -b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 5*d**3 + d**2 - d - 1. Let k be w(-1). Let i be 15\/4 - 15\/(-80)*k. Suppose 2*f = i*f - 215. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100111010101 (base 2) to base 11\nAnswer: -1989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**5\/9 - 26*r**4\/9 + 20*r**3\/9 + 16*r**2\/3 = 0.\nAnswer: -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24 - -25. Let y = 133.1 - 133. Let f = 3.5 + 0.5. Which is the closest to 2?  (a) y  (b) i  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (a - a - 3*a**2)*(-42*a - 66*a + 22*a + (4*a + 4*a - 6*a)*(-2 + 0 + 0) - a + 6*a - 3*a + 0*a - a - a) in the form r*a**3 + s*a**2 + q*a + c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 460573\/(-43274) + (-15)\/((-25)\/5). Let h = 10327030\/3091 + -3341. Let s = h - n. Find the common denominator of 39\/14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 348543?\nAnswer: 3, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-7)\/14)\/(2\/(-8)). Suppose -f - 4*h + 60 = 0, 4*f + d*h + 107 = 319. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 9 = r, 3*k + 10 - 1 = 0. Let p(z) = z - 3. What is p(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 648*o + 5192. Give k(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3342 + 5?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -304*h + 237 + 43 = -234*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 1\/6, -171, 0.1, -0.3 in ascending order.\nAnswer: -171, -0.3, 0.1, 1\/6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -ae1 (base 15) to base 11\nAnswer: -1938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 + 5*f**2 - 4*f + 18. Let i be z(5). Let g = -383 + 378. Put 0, g, 5, i in decreasing order.\nAnswer: 5, 0, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*(-3)\/2*(-3707)\/(-33). Which is greater: a or -3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -4*f + 2152, 0 = 2*f - 0*a + 5*a - 1060. Suppose m + 5*m - f = 0. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 6 = -3*r, 5*z = r - 2*r - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5252557273 to the power of 1\/2, to the nearest integer?\nAnswer: 72475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/390 and -191\/25828140.\nAnswer: 25828140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-18)\/27 + 1)\/((-1)\/(-3))*1. Let x be (-1602)\/168 - (-2)\/7. Let c = 623\/68 + x. Is j at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24568 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + -1 - -7) + -1 - (-18 - -46)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 2:05 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 471 and 29884165?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 78*x = 79*x - 3, -q + 3*x = 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 2*l**2 - l + 1. Let s be u(-2). Let h(p) = -p**2 + 3*p + 4. Let x be h(s). What is the tens digit of ((-32)\/2)\/(x\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 less than -52107?\nAnswer: -52107.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -24  (b) 0.13  (c) 5  (d) -5\/2  (e) -105  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 a factor of 773894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 + -16. Suppose -s - r + 22 = 0. Find the third derivative of 3*v**2 - 6*v**2 - 7*v**4 - 4*v**4 + 2*v**s wrt v.\nAnswer: -216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**5\/g**(5\/2)*(g**(-1))**2 assuming g is positive.\nAnswer: sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qxzzzzqqspqspxzxwqq?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 1603, -65, -1 in decreasing order.\nAnswer: 1603, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((x\/(x*x\/(x\/(x**(-3)\/x)))*x)\/x)\/x)\/x**(-1\/2)*(x*x\/x**(-2\/5))**17)**11)**(2\/13) assuming x is positive.\nAnswer: x**(4873\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*z - 5906*z = -461332 for z.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-7) + 9376\/28 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.07, -6, 1, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2850 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of z**6\/600 - z**4\/120 + 5*z**2\/2 - 11*z. Let h(w) be the first derivative of j(w). Solve h(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.51148 times 0.5\nAnswer: 0.25574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4547 times 5?\nAnswer: 22735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.154, 5, 3, -1\/3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3)\/f**3)**(-8)\/((f\/(f*f\/(f\/(f\/(f**3*f)))))\/f*f\/(f*(f**(3\/2)\/f)\/f)*f**(-2\/9)*f*f**3) assuming f is positive.\nAnswer: f**(751\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/127 or -42.9?\nAnswer: -42.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1006421449.\nAnswer: 11, 91492859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 321640 is divided by 563.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + 20. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22552979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -201*y**5 + 123621*y**4 - 490914*y**3 - 2451324*y**2 + 5968536*y - 175968 = 0.\nAnswer: -4, 2\/67, 2, 6, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -1260.0918 to 0 decimal places.\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**4*d*d**(3\/5)*d)**(13\/6) assuming d is positive.\nAnswer: d**(143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -875 to the nearest 10.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 - 4015*z + 27860.\nAnswer: 5*(z - 796)*(z - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j. Let a(d) = -d**2 + 757. Determine h(a(b)).\nAnswer: b**2 - 757","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 321?  (a) 1  (b) 96  (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/421?\nAnswer: -1\/421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 186 + -184. What is the nearest to -5 in p, -1\/6, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 2*t - 3. Suppose -t*u + g + 0*g = -34, 2*u - 34 = -5*g. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - (9 + -13 + -7) - -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 6) to base 16\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 9*a - 9*a + 3 in the form r + z*a and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 641 + -623. Suppose -2*q = -22 + y, -5*q - 3845 = -3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**3 + 354*n**2 + 3026*n - 12210 = 0. Calculate n.\nAnswer: -11, 3, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - i - 1. Determine n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**7\/1470 + j**6\/840 + j**5\/84 + j**4\/56 - 7*j**2 + 10*j. Let k(w) be the first derivative of i(w). Factor k(s).\nAnswer: -s*(s - 3)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -272*r + 66*r = 246*r + 464*r + 59540 for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4550 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 1\/5, -0.3, 4, -2\/7, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 172\/5*5\/2. Suppose -k - k = -3*l + g, 5*k - 84 = -4*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w**(5\/6)\/w)*w**(2\/13)*(w*w*w*w**(-2\/5)\/w*w)**(1\/25) assuming w is positive.\nAnswer: w**(13889\/9750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24564475 and 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27\/4 of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 12\/(-16))\/1. Let w(z) = -z**3 - 7*z**2 - 7*z + 5. Let r be w(-6). Let l be 4\/22 - (-64)\/r. Is l at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*n - 65*n = 1904 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v + 4 - 4*v + 14*v - 2*v.\nAnswer: 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2005 + -2007. What is the nearest to f in -2\/5, -8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r. Let l = 6 - 4. Let d(y) = -2*y**l - y**2 + 0*y**2 + 5*y**2. Give f(d(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*a + 107 = -82 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) -2  (c) -4  (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4689*q - 7270 = 36499 + 3121 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 86 by 15.\nAnswer: 86\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -16. Suppose -j = 2*j + 3*h - 120, s*h - 10 = 0. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6099 + 6133. Let v = -655 + 1182. Calculate the greatest common factor of v and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9826.7216186 take away -1?\nAnswer: 9827.7216186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -334169\/6 - -55695. Let s = -1 - -1. Which is the nearest to s?  (a) -0.08  (b) -0.4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 10*u - 3. Let k(o) = -2912*o + 1344. Give -5*k(i) - 2240*p(i).\nAnswer: -7840*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1701 - 99725449.215\nAnswer: -99727150.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.81 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 33219 - 27153 = 0. What is the highest common factor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 1:32 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-272)\/(-44) + 3\/((-66)\/4). Suppose -k*r + r = -920. Suppose 24 - r = -8*f. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 418615803.\nAnswer: 3, 17, 199, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 229515 and 229515 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -8, 2.\nAnswer: -8, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 107055.585 minutes in weeks?\nAnswer: 10.62059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/4 + (-538)\/40*-5. Round z to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 553 + -508. Solve 3*l = -6*l - k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*b - 5*b + 131*b**2 - 3*b.\nAnswer: 131*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16135059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*k - 8. Suppose 12 = 2*j - 3*s + 8*s, 4*j - 40 = -2*s. Solve 0 = r + g + 2, 2*r = -2*r - k*g - j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2503 - 1584. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2 - 147*w + 300*w - 143*w - 9*w**3 + 5*w**4 - w**3.\nAnswer: 5*w*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - 4*s - 3. Let v be n(4). Let c(b) = -b**2 - 5*b - 4. Let f be c(v). Solve -f*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -71601718.4 to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 4*d = 4*i - 32, -3*i = -d. Does 36 divide 266 - (-2 - -6 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-9)\/(h*h**14))\/((h*h*h**(-10)*h*h)\/(h\/h**(3\/17)*h)))**14 assuming h is positive.\nAnswer: h**(-3850\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 25914031 divided by -3\nAnswer: -25914031\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qgggqggqgqe. What is prob of sequence gq?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 15 - 27)*(13*p**2 - 1 + 1)*(-3 + 2*p + 3).\nAnswer: -1430*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 77, -5, -4, 5 in decreasing order.\nAnswer: 77, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttpi when four letters picked without replacement from {c: 1, p: 3, i: 1, z: 2, t: 6}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i\/(i*i\/(i**1*i)*i)))**(7\/13)*i*i\/(i**7\/i)*i**(-3\/4)*((i*(i*i\/(i\/(i*i\/(i*i*i**3)*i*i*i)*i)*i)\/i*i)**20)**(-11) assuming i is positive.\nAnswer: i**(-1779\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 - 9. Let g = -9 + q. Let h = 0.6 - g. Sort -1\/2, 2\/7, h in ascending order.\nAnswer: -1\/2, h, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - 2*f**2 + 472. List the prime factors of w(0).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccccncccccccccc. Give prob of sequence nnnc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, b: 4, e: 6}. What is prob of sequence eob?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3906, 3923, 3940?\nAnswer: 3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1812293 divided by -12.\nAnswer: -1812293\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) 2\/7  (c) -0.3  (d) 1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28777*h = -28782*h - 5. Which is greater: h or -43\/515?\nAnswer: -43\/515","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.225 minus 455.785466?\nAnswer: -424.560466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 0.5  (b) -15  (c) 0.16  (d) -161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22*h**6 + 3468*h**5 - 6*h**2 - 3810*h + 11 wrt h?\nAnswer: 2640*h**3 + 208080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 125 - 125. Suppose 3*s + f + p = -2, 2*s - 5*f - 27 = 0. Let t be 1*(-2)\/(-4)*4. Solve 0*b - 2*l - s = -b, 2 = -t*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1214 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-18)*((-21)\/(-2) + -10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 344, 1458, 3840, 7964, 14304?\nAnswer: 23334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-53)\/212)\/((-2)\/40)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 0 - (-322)\/115?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**4 - l. Suppose 17 = -22*v + 39*v. Let u(f) = 256*f**5 - 190*f**4 + 48*f**3 - 4*f**2 - 2*f. Let a(g) = v*u(g) - 2*h(g). Let a(b) = 0. Calculate b.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-18)\/(a*a**(-8)))\/(a**(5\/4)*a**22*a) assuming a is positive.\nAnswer: a**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/8 of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -135 - -226. Suppose r = 2*f + 31. What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13206 and 2343?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 3) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -11*i + 6. Let a be w(-3). Suppose 4*z - 20 = -0*z, z + a = -4*f. Let v = f + 26. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-8 - -10) + -3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*-3*2\/(-2). Let o = 7 + -3. Let x(u) = -o*u**2 - u**3 + 2*u**3 - 2 + 0 + u. Give x(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/v**(5\/2))*v)**(-6\/13))**36 assuming v is positive.\nAnswer: v**(-756\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21 - 70. Let o = v - -59. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + z - 4. Let w be z + (8\/6 - -2). Factor 1\/3*a**2 + 4\/3 + w*a.\nAnswer: (a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 2, 3*p + p = 4*o + 28. Let b = p + -5. Suppose 43 = b*a + 13. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = 10*m + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15\/75 - (-518)\/10. Suppose -4*s + z = -8. Find the second derivative of -7*o**4 + 35*o - 12*o**4 - s*o wrt o.\nAnswer: -228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 19 + -63 + 19.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -595 + 607. Solve 0 = 9*w - 12*w - b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -21389, -3, -5?\nAnswer: -21389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27452878 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**3 - 3*k**2 + 43*k + 1. Let m(f) = 4*f**3 - 5*f**2 + 85*f. Calculate 3*m(o) - 5*p(o).\nAnswer: 2*o**3 + 40*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 b, and 2 t when four letters picked without replacement from {e: 2, t: 3, b: 5, s: 1, y: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*y - 329914*m - 247 = -329915*m, -4*m = m - 25 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 0.04?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -285, 2, 0.46, -2\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2655*a + 1128 = 2796*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 + (-17 + 7 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 377029*s**3 - 1325164 with respect to s.\nAnswer: 1131087*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3\/7)*r*r**(-2))**(-48) assuming r is positive.\nAnswer: r**(480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1264*g + 387*g = 755*g + 962*g + 41504 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 8) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8493631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2513 and 73717.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -88960*a**3 - 1. Let j be g(1). Let s = j - -169961. Round s to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 + 0*l**2 + 2*l**2)*(-3 + 0 + 2)*(-6 + 3 + 0).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*w = 35*w + 902467. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 11*o - 9. Let r(p) = -16*p + 12. Let t(i) = -4*m(i) - 3*r(i). Let z(c) = c. Let a be 14\/3*(-3)\/(-1). Give a*z(q) - 3*t(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -7*g + 12. Let s be u(-10). Let v = s - -475. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 8*b**2 - 17*b - 7. What is the tens digit of p(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/(-14))\/(2\/14). Suppose -2*t + b*t - 6*t = 0. Solve 0*r + 2*r - 2 = t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -15*r**3 - 4*r**2 + 4*r - 5. Let x(u) = -14*u**3 - 5*u**2 + 5*u - 6. What is 4*a(q) - 3*x(q)?\nAnswer: -18*q**3 - q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 235614, 28, 2\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -8*j**3 + 18*j**2 + 106*j + 779. What is n(-7)?\nAnswer: 3663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -101*a**4\/12 + a**3\/6 + 17*a**2. Let v be (-4)\/(2\/(-1)) - 3. Is w(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 - 200)\/((-14)\/(-364)). Let l = 1451 - i. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - -1) + (-4)\/2. Let r(f) = -f**3 + 2*f**2 - 8*f + 121. Let l be r(5). Solve l = v - 3*g, 5*v + 3*g + s*g + 24 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of -2*u**2 + 1176. Let h(r) be the third derivative of -5*r**4\/24 - 2*r**2. Determine h(x(k)).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eejqm. What is prob of sequence emqe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -20085, -20072, -20045, -19998, -19925?\n\"Answer: y**3 + y**2 + 3*y - 20090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72 and 2890596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2389, 4696, 6917, 9052, 11101, 13064?\n\"Answer: -43*s**2 + 2436*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000032703 rounded to six decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 4*h - 15, -1 = -2*t - 3*h + 16. Suppose 55 = z - t. Calculate the greatest common divisor of z and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - -66. Suppose 5*i + 8 - s = 0. Let y = -5 - -8. Solve 0 = 4*n + 4*c - i, y = n - 4*c - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c + 2*c - 2*c**2 + (4 - 2*c - 4)*(2 - 2*c - 2) - 997*c**2 + c + 2133*c**2 - 349*c**2 as y + m*c**2 + x*c and give m.\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 9*k + 11*k - 20*k + k**2. Let s(c) = 5*c. Determine s(m(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 66 * -4\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 48 = 4*s, 3 + 7 = -2*s. Let b be p\/3 + (-4)\/6. Suppose 0 = b*y - 10. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 251451?\nAnswer: 3, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13577 + -13579. Let b(p) = p + 9 + 2*p**3 + 9*p**2 - 2*p**2 - p**3. Let i be b(-7). Sort i, 1, g in descending order.\nAnswer: i, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 - 26*p - 8. Let h be u(12). Let r = h - -497. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2456512 divided by -4\nAnswer: 614128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 65052641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -734, -1467, -2200, -2933?\nAnswer: -3666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 5*x**3 - 43*x**2 - 11*x + 576. Calculate t(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34184\/2465 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.42 + -0.82. Which is the nearest to -0.1?  (a) s  (b) 3\/2  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-23)\/(1035\/(-840))*39\/(-52).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167992?\nAnswer: 2, 11, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8149 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a - 3. Let l = -25 + 41. Suppose 7*p - 11*p = -l. Suppose -t = p*t - 15. What is n(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 10:00 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 975 = -29*x + 68*x. What is the highest common divisor of x and 3550?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8398500 (base 11) in base 6?\nAnswer: -1245104155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 49126802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 43 = 4*j, 2*o - 36 = -2*j - 14. Solve -13*v + 16 + j = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 326144 and 15925?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - r - 22168 = -7550, -3*f - r + 8766 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 3*r + 2. Let j be r\/(-3*(-10)\/(-15)). Find the second derivative of -2*h - 8*h - j*h**4 - 3*h**4 + 4*h**4 wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 351*k + 2923. Calculate w(-8).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.670863 * -1.\nAnswer: 1.670863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 59\/4 of a day?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -407, -7863, -15319, -22775, -30231?\nAnswer: -37687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from soeoesdehs. Give prob of sequence oose.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*c**2 - 502*c - 3*c**3 + 22*c**2 + 192 + 358*c = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19\/2 in -1, -0.2, -0.5, -2\/7, 22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5 + 11*k**2 - 121*k**5 + 114*k**5 - 5 wrt k?\nAnswer: -420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.27 - 1.27. Let v = 98 - 684\/7. Which is the closest to 2?  (a) -5  (b) u  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 35141815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 19, n: 1}. What is prob of picking 1 n and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(195\/(-468)*21 - 6\/2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.61 - -24.61. Let w = 23.8 - z. Let k(s) = s**2 + 7*s + 1. Let r be k(-7). Put r, w, 2 in increasing order.\nAnswer: w, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 2*v = 36. Let b(o) be the first derivative of -2*o - 1 + 2*o - 11*o**2. Let q(t) = -9*t. Calculate v*q(s) + 5*b(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 21240 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = -6 + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2805, -2829, -2853, -2877?\n\"Answer: -24*o - 2781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v + 3 - 8. Suppose 4*l + 0*q - q - 11 = 0, -3*q - v = 4*l. Let h(p) = -p**3 + 9*p**2 + 1 + 1 + l*p - 11*p**2. Give h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/((i*i\/i**(4\/9)*i)\/i)*i**(-2\/3)*i*(i*i*i**6)\/i**(3\/5) assuming i is positive.\nAnswer: i**(323\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -255 - -210130?\nAnswer: 206542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 228*g**2 + 70*g. Let q(m) = -48*m. Give q(n(r)).\nAnswer: -10944*r**2 - 3360*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + -1. Suppose b*t - 2*t = 0. Solve -3*n + 3*g = 12, 3*n - g + 12 = -t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of 5 + 2*k**3 - k**3 - 4 + k**2. What is the second derivative of z(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35255, 140944, 317067, 563618, 880591, 1267980, 1725779?\nAnswer: 2253982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4 + (-4*sqrt(448))**2 - sqrt(448)) - (sqrt(280)\/sqrt(160))\/(-3*sqrt(12)\/sqrt(3)).\nAnswer: -383*sqrt(7)\/12 + 28688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122942 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + d = 7, 5*i + 5*d = 9 + 6. Let t be -1 - -7 - (i + (-4)\/(-1)). Solve -3*w = 6 + t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**6\/360 + s**5\/60 + s**4\/8 + 11*s**3\/2 + 14*s**2. Let g(m) be the first derivative of v(m). Calculate g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.60559 + -0.602. What is p rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 122, 133, 144, 155, 166, 177?\n\"Answer: 11*p + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of t**4\/12 - 385*t**3\/6 - 1231*t**2\/2 - t - 680. Differentiate i(s) wrt s.\nAnswer: 2*s - 385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: a52c0 (base 14) to base 15\nAnswer: 7d0ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 52.6 - 53. Let n = 0.46 + u. Round n to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 365.25 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5\/9567 + 89297\/9567. Factor -1\/6*b**2 - 392\/3 - n*b.\nAnswer: -(b + 28)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w**2 + 4*w**2 - 922*w**3 - w + 0*w**2 - 2*w**2 + 2*w**2.\nAnswer: -922*w**3 - w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.626 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 278*u = -5055 + 9402 + 6495 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/123, 3\/8, 0.5, -0.25, -44?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - 122021011010?\nAnswer: -122021011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(5\/3))**35 assuming w is positive.\nAnswer: w**(175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -22, -2, 5.\nAnswer: -22, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.7 - -0.3. Let y = -3.9 + l. Which is the closest to y?  (a) -0.4  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of f**3\/3 - f**2 - 2*f + 13. Let m be s(-1). What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s**3 + 12*s**2 - s - 3. Let k be o(-4). Let z be (-2 - -1)*k - 12\/(-18). Suppose u = -4*u - 10. What is the second biggest value in u, z, 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 2:43 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 248, 4 in increasing order.\nAnswer: -4, 4, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {j: 2, c: 4, t: 1, s: 1, m: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10202333 (base 5) in base 8?\nAnswer: 245356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-2 + 0 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 17940.3 times -4.04\nAnswer: -72478.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -544912 - -1074505. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 2\/7, -0.4, -2\/11, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*d = 16*d + 8. Let x(p) be the first derivative of -1\/4*p**4 + 0*p**3 + 1 + 0*p**d + 3*p. What is the first derivative of x(b) wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -11*d + 220. Give v(40).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 179.2 + -179.11. Let g = 24976123\/229560 - -1\/45912. Let y = -108 + g. Which is the third biggest value?  (a) r  (b) y  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 0*z**2 + 5*z + z**2 - 2*z + 8 - 2*z**2. Let a be p(5). Let f be (-4)\/8*7\/42*2. What is the nearest to f in -5, a, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8852.4 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 8:09 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 28 = -3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18815 is divided by 108.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(32 + -5))\/(-18*(-4)\/324)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2527756837?\nAnswer: 563, 4489799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/15?  (a) 0.5  (b) -1  (c) 1\/3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -2*z - 472 + 474, 0 = -4*v - 3*z + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -10 + 11 + (-4)\/(-1). Suppose -f*j = j. Is -5\/9 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*a - 3929 = 9991. Calculate the remainder when 1177 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(512) - sqrt(512))*-2)\/(-1*(sqrt(4) - (sqrt(484)*1 - sqrt(484)))).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -12*i + 6. What is the smallest common multiple of 4 and o(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 + 3*i**2 - 4*i**2)*(i + 520 - 113 + 169) + (-3*i + 0*i + i)*(i**2 + 2*i**2 - i**2).\nAnswer: -2*i**3 + 1152*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 47*s + 126. What are the prime factors of k(11)?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -253 and -256 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5*g + 13 = 40, -24 = -k + 2*g. Solve 0 = -k*m - m + 46 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15134 and 15134.\nAnswer: 15134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m - 6*m - 772. Let v = m - 43619\/113. Is v >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 - j**2 + j. Let d be b(-1). Let v(k) = k**2 - 4*k. Let o be v(3). Put 3, o, d in ascending order.\nAnswer: o, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-151 - -136) + 1 + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 11) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 539.1 + -2961.\nAnswer: -2421.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 229 + -159. Solve -4*k = 10*k - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*h**3 + 207*h**4 + 216*h**4 + 0*h + 0*h - 327*h**4 - 245*h**2 wrt h?\nAnswer: 2304*h + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 956 and -337.7.\nAnswer: -322841.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 52cacaa?\nAnswer: 52caca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(-3\/8))\/b)\/(b\/(b*b*b**(-3\/5)*b)*b))**13 assuming b is positive.\nAnswer: b**(13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -16*t**3 - 2*t**2 - 28*t - 26. Let c be a(-1). Solve 555*w - 559*w = c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of d**3\/2 + 23*d. Let q(z) = 50*z**2. Calculate a(q(h)).\nAnswer: 150*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 22586, 22587, 22578, 22553, 22506, 22431, 22322, 22173?\n\"Answer: -k**3 + k**2 + 5*k + 22581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1670*f = 1679*f - 27. Let k(m) be the first derivative of -f + 0*m - 6\/5*m**5 + 0*m**2 + 5\/3*m**3 + 0*m**4. What is the third derivative of k(l) wrt l?\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 - (3 + (-37 - -20))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 - 19603*v**2 - 7941*v**2 + 18283*v**2.\nAnswer: -9261*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -5*p**2. Let u(i) = -1. Let a(c) = 11*c - 3. Let k(s) = a(s) - 3*u(s). Give o(k(y)).\nAnswer: -605*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15336 = -288*a - 6647 + 1823 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 475*g + 529*g + 4*g**2 + 188*g + 88804.\nAnswer: 4*(g + 149)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-13) + -2 + (-24)\/(-13). Let r(g) = g**3 + g**2 + 219. What is the hundreds digit of r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16475 and 5931.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12191470150233.100138 + 12191482573038. Let k = 12422816 - l. Let z = k + -11.1. What is z rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.211659 weeks to milliseconds.\nAnswer: 1337611363.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r**3 + 5*r**2 + 2. Suppose 29*z + 151 = -23. Let f(j) = 3*j**3 - 6*j**2 - 3. Let t be (-2)\/(12\/5)*6. Determine t*f(g) + z*i(g).\nAnswer: -3*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 43*(-2)\/222 - 312\/(-340548)*59\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -7 - 3 + 10 + w. Let c(u) = -4*u**2 + 6*u. Let f(s) = s**2 + 0*s**2 + 5*s - 4*s**2. Let k(z) = 5*c(z) - 6*f(z). Calculate v(k(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 136 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -2. Let u = -2\/229 + -448\/1145. What is the nearest to 0 in q, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30871866?\nAnswer: 2, 3, 5145311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35010*q**2 + 19439*q**2 - 2*q + 15596*q**2.\nAnswer: 25*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 10:13 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*s + 73894 + 140901 = -104136. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 56858238 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 + 2*c**2 - c + 1. Let s be d(2). What is the remainder when 38 is divided by 39\/s*(-5)\/15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 4*w + 0*w)*(0*w + 0*w + 2*w) + 396*w**2 - 1595*w**2 - 468*w**2 - 494*w**2.\nAnswer: -2155*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(891) - (sqrt(891) + sqrt(891) + 0 + 3*sqrt(891) + sqrt(891))**2 - (sqrt(176)*2 - sqrt(176))**2*5.\nAnswer: -32956 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + l + 0)*((3 + 0 - 4)*(3*l + l - 3*l) + l + 0*l - 2*l - 5*l + l - l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 2*r = r + 56, -2*o = -r - 22. Let d = -38\/3 + o. What is the second biggest value in 1\/5, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f + 16. Suppose -2*b + 2*l = l - 57, -42 = -2*b + 4*l. Suppose 4*n + 14 = -y - 0, -y + b = -5*n. Let r be (40\/y)\/2*(30 - 27). Calculate k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1798 or 1793?\nAnswer: 1793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 19\/25  (b) -3  (c) -4  (d) 2\/3  (e) -47  (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0\/(-7))\/(-1 + 2). Suppose c = 7*t - 10*t. Suppose m - 5*m + 52 = t. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2740 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.13 times 3.5\nAnswer: 0.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12212542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22578881?\nAnswer: 13, 31, 179, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 4*h - 32, 171*h = 176*h + 4*n - 37. Suppose 0*t + 8\/9*t**2 + 28\/9*t**3 - 28\/9*t**h - 8\/9*t**4 + 0 = 0. Calculate t.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2488.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 5316, 0.4, -37736 in descending order.\nAnswer: 5316, 0.4, -37736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*n + 12. Suppose -n = -3*i + 7. Suppose 4*m + 0*x + 8 = -i*x, -2*x = -2*m. Which is the smallest value?  (a) 3  (b) 0.5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*c**3 + 46*c**3 - 14*c**3 - 23*c**3 + 3*c - 1 + 2*c**2 - 23*c**3 as l*c**2 + w*c**3 + u*c + n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -18, -0.66, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 426805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + -1 - -3) + 0. Let p(f) = -f**2 - 7*f - 2. Let w be p(-6). Suppose -5*o = -w*o. Which is greater: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1845067 by 3.\nAnswer: -1845067\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6c1 (base 13) to base 4.\nAnswer: -102103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j + 20. Let f(c) be the first derivative of c**2 - 25. Give f(w(m)).\nAnswer: 2*m + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - (1 + -1 + (12 - 12)). Solve -3*l = -3*i - 6, -i - i = -h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/3 - 419989*a**2\/3 + 279994*a.\nAnswer: -a*(a - 2)*(a + 419991)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17 and 9707?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s**5\/3 - 1622*s**4\/3 - 136558*s**3\/3 - 801664*s**2\/3 + 195305*s + 117978 = 0 for s.\nAnswer: -159, -7, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p + 1. Let q(i) = -4*i - 3. Let n(o) = -5*q(o) - 15*u(o). Let h(d) be the second derivative of -d**3\/6 + d. Calculate h(n(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15453330083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22?  (a) -0.1368  (b) 1\/3  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 784604 divided by -2?\nAnswer: -392302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/109 or -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2220 - -7894. Suppose -11*p - 137 = -c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 n when three letters picked without replacement from wjnlwljwnllllll?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 4*h**3 - 88*h**2 - 1249*h + 27484. Give y(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-890 + 1)*(1 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 7*s + 4. Let t(o) = 8*o + 5. Let y(w) = 5*i(w) - 4*t(w). Suppose -f - 16 = -0*f - 4*q, f + 4*q = 8. Give y(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-129))\/((-8)\/(-30) + 469\/(-4690))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t + 64 - 126 = -214 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*g + 25*g + 154. Suppose 7*y - 2*y = 3*c - 34, -3*y - g = -c. Solve -3*v = -c - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 554*s - 39. Is f(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 4. Suppose -4*t + 2*t = -4*b - 390, 0 = i*b + 12. What is the highest common divisor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**3 - 23340*p**2 + 36317040*p - 18836438080.\nAnswer: 5*(p - 1556)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7984?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/8))**(5\/2) assuming k is positive.\nAnswer: k**(5\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 172641 and 294.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 100373809337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/11, 5, 2\/17, 13408?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -4*c + 2680, -3338 = -14*o + 9*o - 3*c. Calculate the highest common divisor of o and 1743.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*o + 2*g + 6, -3*g = -3*o - 5*g - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 591159 = 16976*k + 217687 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.875 and 0.4.\nAnswer: -1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1027*x + 11024 = -61893 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 467785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/27 - (-17091548)\/284391 - 8\/324.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*b = -118*b + 426 + 582 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 487704508.\nAnswer: 2, 121926127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccuuczccccczzc. Give prob of sequence cuz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 719 + -715. Suppose 0 = -g*h + 28073 + 11955. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z - 7. Suppose -5*y = -10*y + 2*l + 11, 2*y + 5*l = -13. Let d be (1\/1 - 7) + y. Let v be n(d). Is v <= -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -879, -1764, -2645, -3522, -4395?\nAnswer: -5264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7318996 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4742511781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1013 + 1555. List the prime factors of d.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41 + 70. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 8) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jlilljijlj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1105335 < 1105332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrol.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 187, -4, 2, 1\/4, 0.4 in increasing order.\nAnswer: -4, 1\/4, 0.4, 2, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -124*p - 33*p - 432*p to the form b*p + d and give b.\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 2100221?\nAnswer: -2100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/859 - 758\/86759. Let n = r - 193\/909. Let j = -17.9 + 15.9. What is the smallest value in -2\/17, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 2*j - 6 = -32, -5*k = 4*j - 14 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/21  (b) -13\/3  (c) -3\/2  (d) -3\/10  (e) -0.5  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 35088922529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 2*k - 104. Let l = 23 + -10. Calculate the greatest common factor of k and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3 - 13730*j**2 + 41176*j - 27448.\nAnswer: 2*(j - 6862)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -1) + (10 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 456 and 2138832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 6) + 8 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7627 and 290.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 68*g - 65*g - 1 = 0, -4*c - 3*g - 17 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 10. Suppose -w*r = -0*r - 24. Let b(c) = -c**2 - 11*c - 8. Let n be b(-7). Calculate the highest common divisor of n and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -223205, -892660, -2008419, -3570482, -5578849, -8033520, -10934495?\n\"Answer: -223152*r**2 + r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9 + -9 - 19) + 17. Sort 4, -3, 8, s in decreasing order.\nAnswer: 8, 4, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 432705 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -x**3\/5 - 347*x**2\/5 - 4123*x - 67865 = 0.\nAnswer: -277, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f**5\/5 - 11307*f**4\/5 - 10682244*f**3\/5 - 53174028*f**2\/5 - 42503088*f\/5 = 0. What is f?\nAnswer: -1882, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10103 (base 9) in base 14?\nAnswer: 25c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/(z\/(z*z**13)*z))\/z)\/z)**(-43) assuming z is positive.\nAnswer: z**(-516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 16 + 5. Let z = q - 13. What is the common denominator of 578\/48 - (-4)\/z and -21\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -129, 0, 26, 17, 3, 2, 4 in decreasing order.\nAnswer: 26, 17, 4, 3, 2, 0, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 12:14 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11746, -23130, -34150, -44806?\n\"Answer: 182*c**2 - 11930*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from effffeeeffefff. What is prob of picking 1 f and 2 e?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 - 7. Let b = r + -3.9. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-130)\/(-325))\/((-10)\/75).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -958 - 719 - 1451 = 136*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -95 + 50. Let d = -103 - t. Let s = d - -55. Sort -5, -2\/9, s in increasing order.\nAnswer: -5, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*v + 30 = -2*v. Suppose -v*h + 5*r = -0*h + 21, 0 = -2*h + 4*r - 20. Let s(d) = d + 14. Calculate s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 4*h + 11, 2*h + 3 = 2*u - 1. Suppose -u = -3*f + 4*f. Let v = f - -3. Solve v = -z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 540*v + 716*v - 1795*v + 17*v**3 + 48*v**3 + 539*v.\nAnswer: 65*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 37251392*d**4 - 92489056*d**2 - 2 wrt d?\nAnswer: 894033408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 408\/272*(-4)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -5\/16*r**4 + r - 17 - 13\/12*r**3 - 1\/2*r**2. Determine z, given that f(z) = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**3 + 5*q**2 + q**3 - 7*q**2)*(3*q**2 - 6*q**2 + q**2).\nAnswer: -2*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4124 (base 6) to base 5\nAnswer: 12131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**3 - 7*u**2 - 2*u - 3. Let a(d) = -d**3 + 3*d**2 + d + 2. Let f(w) = -5*a(w) - 3*r(w). Calculate the remainder when f(4) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 22*r + 24*r = 12, 5 = 5*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -82808897 or -0.2?\nAnswer: -82808897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*z - 6 = 20*z. What is the greatest common factor of z and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -154*v - 2758. Give x(-12).\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 11:38 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 26638, 26641, 26644, 26647, 26650, 26653?\n\"Answer: 3*j + 26635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -113bdb7 (base 15) in base 7?\nAnswer: -206622535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - 27*(-6)\/9. Let j be (3 - 1\/1) + -5. Let z = t + j. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -471806 divided by -5.\nAnswer: 471806\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 + 3*k**2 - 4*k - 8. Let g be u(-3). Let j(w) be the first derivative of 1\/4*w**g - 2\/5*w**5 + 0*w**3 - 3 + 1\/6*w**6 + 0*w**2 + 0*w. Factor j(n).\nAnswer: n**3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -11*b - 23. Let d(j) = 7*j + 15. Suppose g + 9*r = 4*r - 3, -36 = 4*g - 4*r. Let t(i) = g*d(i) - 5*a(i). What is the units digit of t(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -114 and 10?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-7)\/21 + (-6584)\/(-24) is divided by 242?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10 - 10) + (-4)\/(-1). Let u(f) = -8*f + p*f**2 - 3*f**2 + 4*f + 4 + 11*f. Suppose 0 = 4*z + 2*w + 32, w + 18 = -5*z + 4*w. Determine u(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1950 (base 11) to base 14.\nAnswer: -c8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 4)*(0 + 2 - 13*q + 0)*(-6*q**2 + 3*q**2 + q**2).\nAnswer: 130*q**3 - 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 4*u - 9*u + 260, -3*u + 4*g + 163 = 0. Let n = 11367 - 11337. Calculate the remainder when u is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 4 = -2*h. Does 8 divide h\/4 - (-61)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + ((-1*sqrt(304))**2*-2 - (1*sqrt(304) + 5))*-6.\nAnswer: 24*sqrt(19) + 3680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 290\/(-15) + -13 + (-23)\/(46\/(-60)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 31*x**2 - 22*x + 100. What is the thousands digit of o(38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-147125)\/4708*((-14)\/10 + 1). Let b(l) be the first derivative of -27 - x*l**2 - 12*l. Find the first derivative of b(v) wrt v.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7636 divided by -7636.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.95 - 0.25. Let o = 14672.7 - 14673.89998. Let x = o - b. What is x rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**2 - 18*o + 22. Let r be k(-10). Let d be (r\/4)\/(1\/4). Suppose -d + 0 = -4*a + 2*t, -26 = -2*a - 4*t. What is the smallest value in a, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6378602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189886 is divided by 2134?\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.88 - -1.18. Which is the closest to 1\/2?  (a) 0  (b) h  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5023 - -516?\nAnswer: -4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of 0 - 27*g**2 + 0*g + 0*g**3 + 1\/15*g**5 + 1\/30*g**6 + 0*g**4. Solve z(r) = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yzuziuciyccq. What is prob of sequence yz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, g: 1, m: 7}. What is prob of sequence mcmm?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**1*j)**(-44)*(j**0)**25 assuming j is positive.\nAnswer: j**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*c**4 - 45*c**3 + 77*c**2 - 3*c - 36 = 0. Calculate c.\nAnswer: -4\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2482 - -2491. Calculate the least common multiple of z and 575.\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 2*o + 190 = 8*q, 0 = -3*q + 2*o + 285. Suppose q = 10*v - 65. Calculate the highest common factor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1008 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1231391, 1231027, 1230663, 1230299, 1229935, 1229571?\nAnswer: 1229207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4*w + 6)*(2 + 3 - 6) - 4*w + 3*w + 3*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0108875129 to 6 dps.\nAnswer: -0.010888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121067 divided by 1.\nAnswer: -121067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r + 1. Let s(d) be the second derivative of -d**3\/6 - d - 14. What is s(z(a))?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -2*s - 4. Suppose -197 + 19 = -s*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(133)*6 + sqrt(133))\/(-5*sqrt(14)\/sqrt(2)).\nAnswer: -19*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-4))\/((-108)\/16). Suppose 3*r + 10 = 2*r + 3*z, 5 = -4*r + 5*z. Let b be 2\/(-5)*r\/7. What is the nearest to 0.1 in -1\/5, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 963*x - 962*x = -30363, t - 2*x - 10126 = 0. Does 92 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -349*h + 718*h = -605*h - 29*h - 34102 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 2*j - 7 + 19)*(0*j - 2*j + j).\nAnswer: -2*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -802, -1975, -3520, -5443, -7750, -10447, -13540, -17035?\n\"Answer: -x**3 - 180*x**2 - 626*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 times 19?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 228 and 1754061.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.89 - -1.91. Which is the biggest value?  (a) 1  (b) -0.2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -110171, -220342, -330513, -440684?\n\"Answer: -110171*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, t: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -28\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*u**3 - 6*u**3 - 6*u**3 + 102 - 6*u**3 to the form g*u + n*u**2 + p*u**3 + h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**4 - 9*c**5 + 5*c**5 + 11*c - 2*c**4 wrt c?\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 - (9 + 3)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10120 + 21020211?\nAnswer: 21010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 812b (base 14) to base 9.\nAnswer: 33382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -24*b + 431. Let u be n(18). Let d(v) = v - 1. Let q(l) = -l - 3*l + 3*l. What is u*d(i) - 4*q(i)?\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 + 14*h - 22 - 3*h**2 + 7*h - 17*h + 6*h**2.\nAnswer: 2*h**2 + 4*h - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 0.18022, -3\/5, -0.2 in increasing order.\nAnswer: -3\/5, -0.2, 0.18022, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 23 = 5*p + 4, -3*v + p = -11. Let s be 0\/((-15)\/(-5)) - -4. Let g = 6 - 6. Solve 3 = f - g, -v*b + s*f = 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 2255458?\nAnswer: -1\/1127729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - f**2 - 2)*(2 - 7 + 2)*(-1 + 0 - 2) to the form d + j*f**2 + h*f and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-4))\/(3 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + -3462?\nAnswer: -3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -282*j + 274*j + 2*c + 12 = 0, 2*j - 3*j - 4*c - 7 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 91, 377, 867, 1561?\n\"Answer: 102*t**2 - 20*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1929*g - 51311 - 44305 + 3024 = 0 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 13 = 21, -5*l - 6 = 4*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - -6*4\/8. Let s = 105 + -99. Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/10101 and 67\/117.\nAnswer: 30303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4*(4\/6 + (-14)\/12). Solve -v*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 191*x**3 + 393*x**3 + 164*x**3 - 182*x**3.\nAnswer: 566*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 15.7  (b) 1\/9  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-5 - 1 - -2)) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 13*u - 81. Let i(b) be the first derivative of -b**2 - 2130. Calculate q(i(a)).\nAnswer: -26*a - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -5*3\/(-45) - 429\/(-9). Does 26 divide ((-390)\/(-4))\/(-5 - (-249)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 492416*s + 93436*s + 2.\nAnswer: -398980*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -13804 and 5.\nAnswer: -13799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 1003.255314 to the nearest integer.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1499 = -58*c + 1499 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/23, 121, 0.6, -3 in descending order.\nAnswer: 121, 0.6, -2\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -5*x + 10, -3*l - 4 = -4*x + 25. Suppose 3*m - x*m + 12 = 0. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-7)\/c*(c\/c**20)\/c)\/((c*c**(-26))\/c*c)**39 assuming c is positive.\nAnswer: c**948","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 1100*l**3 + 5*l**2 - 6*l + 2. Let j(y) = 7*y - 146. Let w be j(21). What are the prime factors of d(w)?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4826, -14552, -24282, -34016?\nAnswer: -43754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -575858, -1152312, -1728762, -2305208, -2881650, -3458088?\n\"Answer: 2*f**2 - 576460*f + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -165248123?\nAnswer: -165248123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -88 + 94. Suppose 2 = 4*a - x. Solve -n + 0 = a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -368.26 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 67.\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of -11*l**4\/12 + l**2\/2 - 76*l + 1. Let y(g) = g + 7. Let s be y(-6). Let z(b) = -s - 2*b**2 + 4 - 3. Determine x(z(o)).\nAnswer: -44*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -45454.35 to the nearest 100.\nAnswer: -45500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 7*k + 1. Let i(h) = -15*h - 2. Let u(x) = -6*i(x) - 13*y(x). List the prime factors of u(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 - -48. Suppose 0*n - n - 3*a + 9 = 0, -4*a = -2*n - 2. Suppose -216 - c = -n*i. Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -314\/3 + 108. Let z be (-4)\/(-6) - (-53)\/21. Let u = d - z. Sort u, 3, 1 in descending order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 370768 and 5631039?\nAnswer: 90096624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -70787 + 13591027\/192. Find the common denominator of c and 41\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 4 + 0)*(1 - 1 + 2*r**3) + 5926 - 40*r**3 - 5931 - 20*r**3 in the form n*r + l + s*r**2 + y*r**3 and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20\/(-6)*414\/(-6). Suppose 0 = -54016*c + 54047*c - 310. What is the highest common divisor of c and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 13) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - 1\/((-4)\/140). Suppose -5*d - i = p - 92, -36 = -3*d + p. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -39*q - 163*q + 27*q - 8043350. What is q rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {v: 1, x: 3, a: 2, q: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (37\/(-2))\/(3\/(-18)). Let g = q + -70. Suppose 5*a - 125 = 4*c, -4*a - 2*c = -c - 79. Calculate the remainder when g is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -5*i - 3*o + 33, -5*o = -4*i. Suppose -i*r + 4*r + 103 = 0. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = i + 2*i. List the prime factors of (-3 - 48\/i) + 335.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 10:00 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 15*z**2 - 13*z - 5. Let a be h(14). Suppose -3*d + 0 + a = 0. Suppose -63 = -d*i + 57. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149533.\nAnswer: 149533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*s + 7. Let r = s - -8. Let u(y) = 4*y**r + 0*y**2 + 5*y**3 - 5*y**3 - 4*y + y**3. Give u(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-160)\/(-28))\/((-3)\/(10794\/(-4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 16*t**2 - 8. Let p be (-138)\/36 + 1*3\/(-18). Let q(s) = 17*s**2 + s - 8. Let x(v) = p*q(v) + 5*w(v). Factor x(g).\nAnswer: 4*(g - 1)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x + 0*x + 0*x + (-5 + 3 + 3)*(2*x + x - 4*x) - 3*x + 0*x + 2*x - 2*x + 3*x - 3*x)*(-2 + 0 + 3)*(-2 + 0 + 6).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1912, -1964, -2186, -2578?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 10  (b) -1.72  (c) -1\/57  (d) -3  (e) 0  (f) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 0.328.\nAnswer: 0.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -109 divided by -1?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -3*v**3 + 6834060*v**2 - 3892045008384*v + 15568070688768 = 0.\nAnswer: 4, 1139008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.21 + 0.13. Let s = -0.58 - u. Which is the closest to 1?  (a) s  (b) -2\/15  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -6*g + 11*g. Let a be 36\/g + -3 + -1. Suppose 2*m - z - z - 44 = 0, a = 2*m - 3*z - 46. Solve -5*p - 5*j = -25, 4*j - m = -3*p + 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9021.6181 to the nearest ten.\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 3*z - 2*q, -89*z - 9 = -93*z - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9991407 > 9991407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.97 and 103824.\nAnswer: 100709.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l. Let y(w) = 367*w - 3. Determine v(y(a)).\nAnswer: -367*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {o: 2, y: 1, t: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6402 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-228)\/4104)\/((-4)\/(-54))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.8833 + 7.3267. Sort 1\/2, h, -0.1 in decreasing order.\nAnswer: h, 1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9083 and 2344.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 839130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - -3. Suppose 4*g - c = -2*f, -2*f - g + 1 + 2 = 0. Sort f, 1, -2.\nAnswer: -2, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 61389383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -242987, -242976, -242967, -242960?\n\"Answer: -k**2 + 14*k - 243000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-1)\/3)\/((27115\/(-120))\/(-29)) and -58\/187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -191*j + 192*j + 13. Let g be (12 + j)*(-3)\/(-9). Let b = 0.1 - 0. What is the nearest to b in -1, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -2*t + 8, -2*t + 4*s = -19 + 3. Let k be 111 + (1 - (t - -3)) - -3. Let a = k - 50. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5941514*i**2 - 9*i + 240413016.\nAnswer: -11883028*i - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 10*o**3 + 5*o**2 - 113*o + 316. Calculate q(3).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, z: 5, r: 4}. Give prob of picking 1 n and 3 r.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -9*r**3 - 7*r**2 + 7*r + 7. Let u(h) be the third derivative of -h**6\/40 - h**5\/30 + h**4\/12 + h**3\/3 - h**2. Calculate 7*u(o) - 2*y(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 139550 + 372?\nAnswer: 139912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3.72, -0.033, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -2*k**5\/15 - 6*k**4\/5 - 14*k**3\/5 + 34*k**2\/15 + 68*k\/5 + 48\/5 = 0.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - b**2 - 5*b - 6. Let l(n) = n**3 - 6*n - 6. Let g(a) = -7*j(a) + 6*l(a). Let r be g(7). Let d = 2 - r. Is d smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 + 37 = 21*z. Solve -2*m + z*j - 16 = 0, -3*j - 3 + 9 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of -23*k**4\/24 + 11*k**3\/6 - 511*k**2. Let d(b) = -8*b + 4. Determine -8*d(h) + 3*f(h).\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 4*v - 2*v)*(4*v - 2*v + 4*v)*(1957 - 1957 - 259*v**2).\nAnswer: 3108*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 266*b**3 + 74*b**2 - 7*b - 7. Let t(i) = -354*i**3 - 99*i**2 + 9*i + 9. Calculate 9*o(m) + 7*t(m).\nAnswer: -84*m**3 - 27*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 568104.9 millennia to decades.\nAnswer: 56810490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 AM and 6:55 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 1232?\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -232033 (base 4) in base 16?\nAnswer: -b8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6409973792\/917991 + -81\/203998. Let p = -6978 - k. Calculate the common denominator of p and -73\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 - -28. Let x = -0.2 - -0.2. Let n be (-24 - -17) + 34\/10 - -4. Sort x, g, n in increasing order.\nAnswer: x, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 220134512 divided by 16933424\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 7:38 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 12*r - 1. Let d be v(-1). Let h = d - -16. Find the third derivative of 5*m**h - 2*m**3 - 4*m**3 + 4*m**3 - 4*m**2 wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -7. Let z = a + 11. Calculate the smallest common multiple of 6 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5, g: 1, n: 1, f: 2, l: 8, j: 3}. What is prob of picking 2 l?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v - 2. Let o(f) = 495*f + 10 + 463*f - 966*f. Suppose -2 = 5*g - 27. Let x(p) = g*l(p) + o(p). Let m(y) = 16*y. Calculate x(m(k)).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 51 + -165123?\nAnswer: -165042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.24 - 0.240000887. Round l to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -47 + 601a?\nAnswer: 5a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + -7. Let x = 1\/29 + -36\/203. Sort x, 2, d in ascending order.\nAnswer: x, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r**3 + 21*r**2 + 10*r + 6. Let z be t(-10). Let u(a) = -3*a + 31. Let l be u(z). Solve 12 = 5*o - l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fiuylullfuufuu. What is prob of picking 1 f, 1 i, 1 y, and 1 u?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -838*s**2 - 5*s**4 + 838*s**2 + 3*s**3 + 5*s as i + f*s**3 + a*s + t*s**2 + r*s**4 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 505247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 780 + -1019. Let j = -212.15 - n. What is j rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 + 47*s - 64. Determine q(42).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 + (-62 + 20 - -43).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -358424.98 to the nearest one hundred.\nAnswer: -358400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {s: 1, f: 1, m: 1, j: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q**5 + 172*q**4 + 1188*q**3 - 4968*q**2 - 21654*q + 63180 = 0. What is q?\nAnswer: -78, -9, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2706, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of r**3\/6 - 4*r**2 - r. Let t be (-3 - 2\/(-4))*48\/(-15). Let q be y(t). Solve x = -q*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 5) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13.2 - 6.6. Let y = 5 - i. Let z = -2 - y. Do 0.3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 35870.2104 from 0.253.\nAnswer: -35869.9574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, -24, -68, -102?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-14)\/(-4))\/((-1)\/(-2)). Suppose -9*c = -z*c + 4. What is the second biggest value in c, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2115119728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 - 7098*y**2 + 769662*y + 776762.\nAnswer: 2*(y - 3437)*(y - 113)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3687 - 28944 = 336*s + 2295 for s.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -36\/3857 and -28\/21280171.\nAnswer: 148961197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 33*b**2 + 33*b + 121. List the prime factors of r(-34).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -39*g + 9. Let l = -86 - -88. Suppose -l + 5 = x. Let d(i) = -38*i + 7. Let p(o) = x*m(o) - 4*d(o). Let r(h) = -2*h. Determine p(r(w)).\nAnswer: -70*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1969 is divided by 479?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 m when four letters picked without replacement from {f: 4, m: 7, h: 1, j: 1}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*k + 2*h, 4 = -2*k - 4*h + 2*h. Suppose 5*c - 96 = 2*r + 200, -5*c + 281 = k*r. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.09 in -0.3, 9282, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 10:08 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -17767372, -35534747, -53302122, -71069497, -88836872, -106604247?\n\"Answer: -17767375*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2 - 168*x.\nAnswer: -4*x*(x + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -c - c. Suppose 4*f - 24 = -c*a, 3*a - f - 2*f = 3. Suppose 0 = -a*j + 4 + 12. What is the greatest common factor of 20 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2917*o = -2457*o - 1338*o + 121*o - 355914 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -46 + 50. Suppose -5*z = 10, -5*z + 0*z = -b*x + 422. Calculate the remainder when x is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1920 and 10820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 - 2*o + 4. Let b be h(0). Solve -9 + b = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -2, -1794, 13, 48 in descending order.\nAnswer: 48, 13, -1\/7, -2, -1794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56563 and 1832?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l. Let o(y) = 2 - 2424*y - 2 + 2408*y. What is o(d(n))?\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 7:38 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -2*k**2\/5 - 662*k\/5 + 672 = 0.\nAnswer: -336, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/((sqrt(70)*3)\/sqrt(10) + sqrt(7)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3805*h**2*n + 94*h**2 - 2*h wrt n.\nAnswer: 3805*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/(-2))\/(4\/36). Let s(f) = f**3 - 5*f**2 - 4*f - 6. Let l be s(6). Is 1451\/9 + l\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -3\/10*c**5 - c + 1\/40*c**6 + 0*c**3 - 81\/8*c**2 - 31 + 9\/8*c**4. Factor u(a).\nAnswer: 3*(a - 3)**3*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of 1\/3*z**3 + 21 + 0*z + 1\/2*z**2. Solve h(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1723711607 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h**2 - 112*h - 38. Let p be m(-22). What is the highest common factor of p and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (68\/(-16) + 4)*(1 - 9). Let g(v) = 67*v**2 - 5*v + 2. Let a(n) = n**3 - 2*n**2 - n. Let c(f) = k*a(f) - g(f). Find the second derivative of c(o) wrt o.\nAnswer: 12*o - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l - 12. Let m(n) = -n + 2 - 1 - 12. Let u(z) = 5*k(z) - 6*m(z). Calculate u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of b**4 + 584282*b**3 - 3*b**2 + 11435*b - 26.\nAnswer: 12*b**2 + 3505692*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13.2, -0.4, 145 in decreasing order.\nAnswer: 145, 13.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -567 + 2182. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/20))**(-46)*(k**(4\/21)*k)**12 assuming k is positive.\nAnswer: k**(517\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + 15*k**2 + 15*k + 17. Let l be (-5*(-154)\/(-55))\/(-1 + 2). Give f(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.41647413 rounded to 3 decimal places?\nAnswer: -0.416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 - 1. Suppose 3*r = 5*w - 9 - l, w + 3*r = 2. Is ((-743)\/w)\/(1\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/1890432 and 1\/22974.\nAnswer: 13233024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2113?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 0.4, 0.3, 1.3, -0.3, 1\/23 in increasing order.\nAnswer: -21, -0.3, 1\/23, 0.3, 0.4, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 31076533227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/7, 5, 70, 1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1029?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 761?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 240 + 389. Does 40 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -348821 (base 9) to base 10\nAnswer: -209890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (123\/12 + -10)\/(-1). Which is the third biggest value?  (a) 5  (b) -3  (c) -54  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 641464 is divided by 41?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 46117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -61147\/51 + 20388\/17. Factor 0*s + 1\/6*s**5 + 0*s**4 + 0 + g*s**2 - 1\/2*s**3.\nAnswer: s**2*(s - 1)**2*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16817 and 15813.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4996, 8481, 11966, 15451, 18936, 22421?\n\"Answer: 3485*u + 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/2647 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 + 23. Suppose u = 3*o - 4. Suppose 0 = -o*z + 5*q + 27, 5*q = 3*z - 0*q - 24. Solve -5*l = -z*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1130766210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -177, 2682, -5 in descending order.\nAnswer: 2682, 1, -5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + -16.000176. Round j to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-12)\/42)\/(2\/(-14)). What is the third derivative of -7*j**2 + 4*j**4 + 10*j**5 - n*j**5 - 4*j**4 wrt j?\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 223903 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 16780 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n + 5*n - 3664*n**2.\nAnswer: -3664*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**2. Suppose 5*x - k - 3*k = 27, -5*x + 18 = -k. Let w(u) be the second derivative of -1\/4*u**4 + 0*u**2 + 7*u + 0 + 0*u**x. Give w(b(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7590 = 9*x + 14*x. Let y be -9 - 83\/(-9) - x\/27. Suppose -2*d = -r - 12, 3*d - 2*r + 0*r - 19 = 0. Sort -4, d, y in increasing order.\nAnswer: y, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -263?\nAnswer: 4\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -2. Suppose -b - 2*n - 10 = -n, -2*n = -2*b - 36. Let z = b - -23. Solve a = 3*s + z + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/r**(5\/6)))\/(r*r*r**(-3\/2)*r)*(r*(r\/(r**(1\/4)*r))\/r)**(-7\/3))\/(r**(1\/11)*r\/(r\/(r*(r*r\/(((r\/r**(2\/13))\/r)\/r))\/r*r)*r))**16 assuming r is positive.\nAnswer: r**(-89231\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - -224734888618.\nAnswer: 224734888607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 - 14*f + 6. Let c be h(13). Is c <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14 is divided by ((-3)\/(-2))\/(2\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/(1\/2 + -1). Let r(j) = j - 4. Let o be r(6). Suppose -5 = -2*t + 3*z + i, -o*t + 17 = -z. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-15 + -3 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2*g**3 - 2*g**3 - g**3 - g**3 - g**3 + 3*g**3 + 0*g**3 + (4 - 4 - 2)*(0*g**3 - 4*g**3 + 2*g**3) - g**2 + 2*g**3 + g**2)*(1 - 6 + 3).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 161, -0.4, -11 in ascending order.\nAnswer: -11, -0.4, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u + 33. Let z be x(10). Suppose -2*w = -5*i + 27, -15 = -z*i - 4*w - 4. Which is the third smallest value?  (a) i  (b) -19  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -26*q + 2 + 2 + 1 - 25*q + 50*q. Let p(l) = -2*l**2 - 29. What is s(p(i))?\nAnswer: 2*i**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*b = -u - 54, -2*u - 3 = -229*b + 230*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 72  (b) 4  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20546 + -20543. What is the nearest to -1\/2 in t, -1, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {c: 7, n: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 2:12 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 162299 (base 12) to base 2.\nAnswer: 1011100000100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 86.3782ns?\nAnswer: 0.0863782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -4, 8 in ascending order.\nAnswer: -4, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000005748815882 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1449\/(-2277))\/((-7)\/2). Let m be (-30)\/(-8)*(-5)\/50. Put 1\/2, -3, u, m in descending order.\nAnswer: 1\/2, u, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 11 = -5*x, 3*x - 12 = 7*l - 4*l. Let f be ((-7)\/(-42))\/((-6)\/l). Factor f*i**2 + 0*i - 1\/4.\nAnswer: (i - 1)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 4*t**5\/5 + 28*t**4 + 664*t**3\/3 - 840*t**2 + 900*t + 392. Determine u, given that q(u) = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/11 - 18385760*b\/11 - 18385758\/11.\nAnswer: -2*(b + 1)*(b + 9192879)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -69 + 704.52144.\nAnswer: 635.52144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -t + 4*f, -4*t + 6*t - 4*f + 8 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 5*l + l)*(-2*l - 2*l + 2*l) - 2*l**2 - 3*l**2 + 4*l**2 + 2*l**2 - 2*l**2 + 3*l**2 + 1 + (1 + l - 1)*(0*l + l - 2*l).\nAnswer: 5*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-1\/3)*a)\/(a*a**(3\/11))*(a**(2\/41)\/a)\/(a\/a**(-9\/4)) assuming a is positive.\nAnswer: a**(-20605\/5412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 230 - -233?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 16) + 5 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2234121 (base 6) in base 14?\nAnswer: 2d5cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of 5*y**4\/12 - 37*y**3\/24 + y**2 + 142*y. Suppose p(g) = 0. What is g?\nAnswer: 1\/4, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 3*t - 4 + 3 = 0, 4*j = 2*t - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -1\/13, -714?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14578 = -9*n + 41159. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i**2 - 4*i + 4. Let o be s(2). Which is the closest to 0?  (a) o  (b) -27\/2  (c) -2\/3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 40 = 2*p, -3*p - 80 = -4*d - 0*p. Suppose d - 5 = -5*i - 5*t, -5*t - 22 = -2*i. Solve -h = -i - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/(-4)*-2*-2. Let q = 2 + 0. Suppose 2*r = -2*j + 64, -q*r + 3*r = -c*j + 12. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -77*t + 16012. Give w(208).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 266138, 266114, 266050, 265928, 265730, 265438, 265034?\nAnswer: 264500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**4 - 1 + 1 + (-g**2 + 2*g - 2*g)*(4*g**2 + g**2 - 3*g**2) - g**4 + g**3 - g**3 - 5*g**4 + 26*g**4 + 2*g**4.\nAnswer: 19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-16 - (-5456)\/66)\/(42\/9). Factor -4\/7*y**3 + 104\/7*y**2 + 0 - v*y.\nAnswer: -4*y*(y - 25)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -48, -115, -210, -333, -484, -663?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -89732 less than -89731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*o - 120 = 0. Let t = 398 - 458. Let z = o - t. Which is bigger: z or -42?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g + 2 - 2 + 3*g - 11*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + c = -82, -46 - 36 = -2*i - 5*c. Suppose 2*n - y = 19, n = -2*n - 2*y + 39. Calculate the remainder when i is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8835753 (base 9) in base 11?\nAnswer: 275315a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36, -60, -84, -102, -108, -96, -60?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 49*j**3 - 166. Let c(t) = 50*t**3 - 167. Let x be (-30)\/(-4) + (-6)\/4*1. Let h(d) = x*k(d) - 7*c(d). Find the first derivative of h(i) wrt i.\nAnswer: -168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19\/3 - 12\/36 - (-91)\/(-21)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of -3\/4*s**4 + 3\/2*s**2 + 1 - 2*s**3 + 6*s. Factor r(y).\nAnswer: -3*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 10*g**2 - g + 14. Let d be y(10). Suppose -d*z = -22 - 22. Solve -b + z = 3*i, 3*i + 17 = b + 8*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8288173163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-126)\/24*8\/(-6). Solve -8*l - o = -23 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 times 1.0509586?\nAnswer: -24.1720478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19837 + -19831. Calculate the highest common divisor of y and 13524.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x**3 - 2*x**3 + 5*x - 4*x - 2)*(-230*x + 237*x - 533*x)*(1 - 4 + 0).\nAnswer: 4734*x**4 + 1578*x**2 - 3156*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3222 by -142660.\nAnswer: 1611\/71330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -122, -27652 in decreasing order.\nAnswer: 1, -122, -27652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1090, 3485, 9996, 22681, 43598, 74805?\n\"Answer: 343*f**3 - 6*f + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -17914282, -17914283, -17914284, -17914285?\n\"Answer: -a - 17914281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of -n**4\/12 + n**3\/3 + 70*n**2 - 2*n - 21. What is the remainder when g(0) is divided by 66?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 12 = 2*m, -14*d + 5*m = 1876 - 1855 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*m = -34*m + 385. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 0 + j**3 + 0*j**2 - 4*j**2 + 2 - 3*j**2. What is l(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1640, -3304, -5006, -6764, -8596, -10520, -12554?\n\"Answer: -3*a**3 - a**2 - 1640*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 170939 and 282.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 9:35 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 319\/7 + -2981\/84. Calculate the common denominator of 266\/(-24) - (-1 + -2) and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000010110101110101 - 111?\nAnswer: 1000010110101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 46.91 times 0.1?\nAnswer: 4.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 4*s + 3*v + 5*v, v + 34 = -5*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 11621?\nAnswer: -11624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z**(2\/5)*z*z**(-8)*z**2*z**(-1)*z)**(6\/19) assuming z is positive.\nAnswer: z**(-78\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 0*f = 10, x + 4*x - 8 = 2*x - 4*f + 2*f for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -16*r + 2. Let k be s(6). Let m(u) = 167*u**2 + 8*u - 1. Let h be m(-1). Let q = k + h. Calculate the remainder when q is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -181074 divided by -3.\nAnswer: 60358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -4 + 0 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 301 and 294.\nAnswer: 12642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hy when two letters picked without replacement from {h: 10, y: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 - 7. Suppose 0 = 3*k + k - n - 19, -k - 5*n = v. Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.7 + 0.7. Let h be 2\/(-7) - 6\/(-168). Let u = 0.4 - 0.5. Which is the closest to h?  (a) j  (b) u  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 277549947?\nAnswer: 3, 23, 919, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q + 26 = -0*q. Let g(m) = 2*m**3 - 3*m**2 + m - 2. Let h(r) = r**2 - 10*r - 9. Let t be h(11). Let f be g(t). Put f, 0, q in ascending order.\nAnswer: q, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -348*f - 3460. Let l be j(-10). What is the closest to -1 in -8, -1\/6, l, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -120111 + 2?\nAnswer: -120104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.9, 5, -3, 2\/3 in descending order.\nAnswer: 5, 2.9, 2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 950545*a**3 + 3*a**2 - 6*a - 7371 wrt a.\nAnswer: 5703270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 73734, 73728, 73722, 73716, 73710, 73704?\n\"Answer: -6*q + 73740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of 154*q**3\/3 - 7*q**2\/2 - 5*q - 10. Is k(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -328*p**2. Let g(q) = 2*q. Determine a(g(t)).\nAnswer: -1312*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/22)\/1*4\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6130867 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from crrcrcrrrccrr?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 12) to base 10\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, y: 1, t: 2, o: 1}. What is prob of sequence zt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4204518203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4, -9 = -4*c - 3*p + 13. Let u = c - 0. Find the second derivative of -5*g**3 - 6*g - g + 2*g**3 + u*g wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 15*v + 11. Let r be j(20). Suppose -26 = 19*k - r. Calculate the greatest common divisor of k and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11130111 (base 4) to base 8.\nAnswer: 53425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27\/(-9) - -2)*(-4 + (-110)\/(-25)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uo when two letters picked without replacement from qoquqqqqg?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2852214 to the power of 1\/2, to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 2*l = -6. Which is the nearest to l?  (a) -4  (b) 4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 1:59 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1644640 and 20.\nAnswer: 1644640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjaajajj. What is prob of picking 4 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 87, 443, 1409, 3291, 6395?\nAnswer: 11027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*h + 5*h + 23*h = k + 287, h = -3*k - 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8176*i**2 + 8986.\nAnswer: 16352*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -5*n + 8, -3*i + 8 - 2 = 4*n. Suppose n = 6*c + 1304 - 3506. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 5*b + 14 + b**2 - 36 + 11 + 14. Let l be j(-3). Let k(i) = 0 + 2*i**2 + 1 + 5*i - 3*i - i**2. Give k(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -p - 5*q, 2*p = 3*q - 6*q + 12. Let j(t) = t**2 + 186*t + 1598. Let f be j(-9). Solve -5*n - p*y + 1 = -39, y = f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 2) + (-19 - (14 - 37)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 34524 divided by -126?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 209*n + 14 = -214*n, 4*n + 4 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5c (base 14) in base 11?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m**2 - 63*m + 234. Calculate the remainder when s(-34) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -4*h - 1. Let l be d(-1). Suppose l*a - a = 112. What is the highest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5164 (base 7) in base 13?\nAnswer: -a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -451, -750, -1055, -1366?\n\"Answer: -3*a**2 - 290*a - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 10*j - 10. Let h be p(11). Let q be ((-18)\/h)\/1*21. Let b be (-557988)\/q - (-4)\/(-6). Round b to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4178441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -37\/21 or -3?\nAnswer: -37\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 w when four letters picked without replacement from {j: 2, w: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*m**5 + m**5 - 3*m**5 + (0*m + 0*m - m**5)*(2 + 0 + 0).\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 962 is divided by 450.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 - 9249*n + 92423. Calculate h(10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-12)\/2)\/6)\/(17\/119)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -57, -156, -309, -528, -825, -1212, -1701, -2304?\n\"Answer: -2*g**3 - 15*g**2 - 40*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 408504 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11084863 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -3. Suppose -5*k + 10*v - m*v = -120, -52 = -2*k + 4*v. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - (7 + -13 + 20) - 74?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36 - -64. Let u(d) = 14*d**2 - 4*d - 3. Let v be u(4). Suppose -4*o = 4*p - 260, 2*p + p - v = -o. Calculate the greatest common divisor of w and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 2225412?\nAnswer: -2225420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -924745, -1849497, -2774251, -3699007?\nAnswer: -4623765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -20*a + 553 - 553 + (2 - a - 2)*(-3 + 0 + 5) + 13 - 6*a - 13.\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - h = -26, 0*c + 4*c - 5*h - 15 = 0. Suppose c*b - 1499 + 384 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 5:51 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4018852645 to the nearest integer?\nAnswer: 63394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 989*y + 1. Let d(c) = -27*c. Determine d(r(p)).\nAnswer: -27*p**2 + 26703*p - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -188070840 divided by -47017710\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1822 or -10808?\nAnswer: -1822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -3*z + 12. Let c(v) = v + 2. Let r = -96 - -97. Let u(y) = -1. Determine r*c(w) + z*u(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -230.2386168 to 1 dp.\nAnswer: -230.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 39 + 1. Suppose -2 = -2*z + j. Solve -3*l + 4 = -z*o - 1, -3*o - l + 11 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1540 - -1548. What is the greatest common factor of v and 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -4*m + 238, 16*k - 19*k + 2*m = -156. Calculate the lowest common multiple of 114 and (6\/(-10))\/(k\/(-2250)).\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(3*(sqrt(68) + sqrt(68)*3*-6))\/((sqrt(64)*-3 + sqrt(64))*-5).\nAnswer: -51*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 5*x**5 - 270*x**4 - 14950*x**3 - 166200*x**2 - 481855*x - 330330 = 0.\nAnswer: -22, -11, -3, -1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, i: 1, f: 1, o: 1}. What is prob of picking 1 a and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 4*d + 5*u = -24, -21 = 3*d + 5*u. Solve d*b + 3*m + 21 = 0, 3*m = -5*b - m - 31 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -37 + 110\/3. What is the third biggest value in m, -0.3, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 - -0.3. Let k = 2 - y. Suppose -13*i - 9 = -10*i. What is the biggest value in k, i, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 992 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29039 divided by -2.\nAnswer: -29039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 10, -4\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3913740 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 10\/11, 31, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 677041 and -0.1?\nAnswer: -67704.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + 8 + (2 - 7) - -10) + -3 + -31?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*l - l**3 + 2*l - l**3 + 3*l in the form q*l**2 + f + k*l**3 + i*l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 4*h + 6939 = 25271, 3*h = 27. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08 plus -112?\nAnswer: -112.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 621 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/6*(9\/(-2) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6*(1 - 69\/6). Let r = 28 - 34. Find the common denominator of (u\/r - -2)\/(-2) and -10\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 4:51 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from imism. What is prob of picking 1 s and 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23251?\nAnswer: 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - 20*v - 6. Let i be u(30). What is the greatest common factor of 504 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3*j**2 - 88*j + 196. Let q be f(27). Solve 0 = 11*u - q*u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 7:53 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00054090974 rounded to seven dps?\nAnswer: -0.0005409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 5803455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**4\/4 + 27*o**3\/4 + 81*o**2\/4 + 81*o\/4.\nAnswer: 3*o*(o + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.806287 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -2*n + 6. Let l be 46\/n + (-2)\/3. Suppose l*x - 4*x - 15 = 0. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - w = -19 + 325, w = -1. Let r = -57 + m. Find the second derivative of 39*g**r + 62*g + 59*g + 63*g - 152*g wrt g.\nAnswer: 468*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**2 - 25709*b + 25708 = 0 for b.\nAnswer: 1, 25708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 PM and 7:58 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 543018?\nAnswer: 2, 3, 7, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*z - 2*z**2 + 4*z + (8*z - 5*z + 5*z)*(0*z - z - z).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -37 - -42. Let k(j) = 0*j**3 + 4 + 34*j + j**3 - 40*j - 5*j**2 + 2*j**2. What is k(p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -5. Suppose w*l = 2*l - 3*u + 21, u = -5*l + 18. Differentiate -4 + 1 - 8*a**4 + l*a**4 with respect to a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 778 is divided by 257.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 278989, 1115971, 2510953, 4463941, 6974941, 10043959, 13671001?\nAnswer: 17856073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (366 + 18*q - 366)*(-3 + 2 - 1).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3*sqrt(896))\/(sqrt(392)*6 + sqrt(392))*-4.\nAnswer: 48*sqrt(7)\/49 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}